*5 + 0*f**2 + 1/15*f**6 + 0*f**3 + 0. Factor m(s).
2*s**2*(s - 2)*(s + 1)
Factor 0 - 1/2*h**3 + 2*h + 1/2*h**4 - 2*h**2.
h*(h - 2)*(h - 1)*(h + 2)/2
Let -284 + 2*l + 134 - 18*l - 7*l**2 + 138 - l**3 = 0. What is l?
-3, -2
Let d(r) be the first derivative of -2/5*r**3 + 2/5*r**2 + 1/10*r**4 + 0*r - 6. Factor d(q).
2*q*(q - 2)*(q - 1)/5
Let s(p) be the third derivative of p**8/3360 + p**7/105 + 133*p**6/1200 + 169*p**5/300 + 22*p**4/15 + 32*p**3/15 - 2*p**2 + 9. What is x in s(x) = 0?
-8, -2, -1
Let p(h) be the second derivative of -h**5/80 + 7*h**4/48 + 17*h**3/24 + 9*h**2/8 - 23*h. What is t in p(t) = 0?
-1, 9
Suppose -18*r = -15*r - 234. Factor -r*b**3 - 4 - 4*b**2 + 7*b**2 + 79*b**3.
(b - 1)*(b + 2)**2
Let c(i) be the first derivative of -i**5/2 - 15*i**4/8 + 5*i**3/6 + 15*i**2/4 - 125. Let c(n) = 0. Calculate n.
-3, -1, 0, 1
Let t(i) be the first derivative of 2*i**3/3 - 4*i**2 + 6*i + 62. Factor t(p).
2*(p - 3)*(p - 1)
Let r(t) be the second derivative of t**4 + 3/10*t**5 + 0 + 5*t - 1/10*t**6 - t**3 - 9/2*t**2. Find k, given that r(k) = 0.
-1, 1, 3
Let f be (30 - 29)*(-65)/(-13). Factor f - 10/3*w - 5/3*w**2.
-5*(w - 1)*(w + 3)/3
Let f(n) be the first derivative of n**4/38 - 16*n**3/57 + 12*n**2/19 - 89. Determine b so that f(b) = 0.
0, 2, 6
Let t = 151 + -11. Let m = t + -136. Suppose -4/3*n + 7/3*n**2 - 4/3 + 10/3*n**3 + n**m = 0. Calculate n.
-2, -1, 2/3
Let g be (420/(-165) - (-7 + 3))*15/6. Let -26/11*f**3 + g*f - 12/11*f**2 + 8/11*f**4 + 6/11*f**5 - 16/11 = 0. Calculate f.
-2, 2/3, 1
Let d be 1/1*-1 - (-1578)/(-14). Let j = 114 + d. Find q such that -j*q**2 + 0 + 4/7*q = 0.
0, 2
Let y(g) be the third derivative of g**5/15 - 7*g**4/6 + 20*g**3/3 - 2*g**2 + 20*g. What is o in y(o) = 0?
2, 5
Let k(y) = 12*y - 36. Let j be k(-12). Let f = -178 - j. Factor 0*r**f + 2/13*r**3 - 6/13*r + 4/13.
2*(r - 1)**2*(r + 2)/13
Let r = 134 + -128. Determine p, given that 18*p**2 + r*p**3 + 0*p**2 - 27*p - 9*p**3 = 0.
0, 3
Find s such that 4*s**4 - 16*s - 9*s**2 + 5*s**2 - 8*s**2 - 2*s**4 - 6 = 0.
-1, 3
Let b = -5 - -2. Let s(o) = -o**3 - 4*o**2 - 2*o + 3. Let y be s(b). Find f, given that -2*f**2 + y + 2*f - f**3 + 2 - f + 0 = 0.
-2, -1, 1
Determine t, given that -109*t**3 + 69*t**3 - 4*t**5 - 24*t + 4*t**2 + 68*t**3 - 4*t**4 = 0.
-3, -1, 0, 1, 2
Suppose 0 = 2*h + 2*h. Suppose h = -4*r - 0 + 8. Factor -2 + r - 2*q**2 - 5*q**3 + 3*q**3.
-2*q**2*(q + 1)
Suppose -3*b + 6*b = 12. Suppose 6*s**4 + 6*s**4 + 6*s**3 + 8*s**4 - 11*s**b + 3*s**5 = 0. Calculate s.
-2, -1, 0
Let r = 702/11 + -2797/44. Suppose -7/4*j - r*j**2 - 3/2 = 0. What is j?
-6, -1
Let r(g) = 2*g**4 + 12*g**3 + 18*g**2 - 7*g. Let x(a) be the first derivative of a**2/2 - 1. Let y(o) = -2*r(o) - 14*x(o). Determine d, given that y(d) = 0.
-3, 0
Let k be ((-49)/28)/(154/(-176)). Factor c + 1/6*c**k + 3/2.
(c + 3)**2/6
Let s be (-10)/12*4/(-1680). Let k(p) be the third derivative of -1/36*p**4 + 0*p**5 + 1/90*p**6 + 0*p - s*p**8 - 4*p**2 + 0 + 0*p**7 + 0*p**3. Factor k(u).
-2*u*(u - 1)**2*(u + 1)**2/3
Let y(o) = -7*o**5 + 4*o**4 - 6*o**3 - 10*o**2 - 5*o. Let w(m) = 65*m**5 - 35*m**4 + 55*m**3 + 90*m**2 + 45*m. Let v(x) = -6*w(x) - 55*y(x). Factor v(t).
-5*t*(t - 1)*(t + 1)**3
Suppose 0 = -5*t - 20, 2*x - t = 3*t + 52. Let n be 57/x + -2 + -1. Determine d, given that -1/6*d**4 - 1/6*d**5 - 1/6*d + 1/3*d**2 - n + 1/3*d**3 = 0.
-1, 1
Let y = 10898/5 + -2179. Factor y - 8/5*j + j**2.
(j - 1)*(5*j - 3)/5
Let y(z) be the third derivative of z**8/224 + z**7/70 + z**6/240 - z**5/40 + 5*z**3/6 - 9*z**2. Let o(a) be the first derivative of y(a). Factor o(w).
3*w*(w + 1)**2*(5*w - 2)/2
Let b(f) be the third derivative of f**6/540 - f**5/90 - f**4/12 + 7*f**3/6 - 10*f**2. Let m(g) be the first derivative of b(g). Solve m(a) = 0 for a.
-1, 3
Find a, given that -3/5*a**2 + 0 - 39/5*a = 0.
-13, 0
Let r(b) be the first derivative of -8*b - 5 - 1/4*b**4 - 3*b**2 - 3/2*b**3. Let v(l) be the first derivative of r(l). Factor v(i).
-3*(i + 1)*(i + 2)
Let h(x) be the third derivative of 7*x**6/40 - x**5/10 - 7*x**4/8 + x**3 - 598*x**2. Factor h(l).
3*(l - 1)*(l + 1)*(7*l - 2)
Suppose 2*l = -0*l - 3*v + 6, 4*v = -5*l + 29. Let j(u) = -u**2 + 8*u + 11. Let h be j(l). Factor 4*r**3 - 2 - 3*r**3 - 4*r**2 - 5*r**h + 5*r**2 + 5*r.
(r - 2)*(r - 1)**2
Suppose -9 = -6*z + 21. Let w(k) be the third derivative of 1/15*k**3 + 0 + 0*k + 1/150*k**z - 1/30*k**4 + 7*k**2. Factor w(c).
2*(c - 1)**2/5
Let x(v) be the third derivative of -v**7/630 + v**6/36 - 2*v**5/15 - 3*v**4/8 + 3*v**2. Let w(a) be the second derivative of x(a). Factor w(k).
-4*(k - 4)*(k - 1)
Let p(y) = 2*y**3 + 918*y**2 - 23409*y - 11. Let q(u) = u**3 + 306*u**2 - 7803*u - 4. Let k(a) = 4*p(a) - 11*q(a). Factor k(v).
-3*v*(v - 51)**2
Let m(l) be the third derivative of -7/480*l**6 + 0 + 1/420*l**7 + 0*l**3 - 1/48*l**4 + 7/240*l**5 + 0*l - l**2. Factor m(p).
p*(p - 2)*(p - 1)*(2*p - 1)/4
Let g(n) = -3*n**2 - 18*n. Let m be g(-7). Let x(b) = -b**3 - 22*b**2 - 20*b + 23. Let r be x(m). Find k such that 2/5 + 3/5*k + 1/5*k**r = 0.
-2, -1
Let v(a) be the second derivative of a**4/24 + 5*a**3/4 + 7*a**2/2 - 155*a. Factor v(u).
(u + 1)*(u + 14)/2
Let w(x) be the first derivative of -x**6/21 + 8*x**5/35 - x**4/14 - 4*x**3/3 + 20*x**2/7 - 16*x/7 - 742. Determine n, given that w(n) = 0.
-2, 1, 2
Let n(g) be the second derivative of 13*g**4/42 - 2*g**3/7 - g**2 + g + 4. Factor n(a).
2*(a - 1)*(13*a + 7)/7
Let d be (30/(-21))/((-4)/28). Let q(n) = -4*n**2 + 7*n - 3. Let v(m) = -12*m**2 + 22*m - 10. Let c(p) = d*q(p) - 3*v(p). Factor c(i).
-4*i*(i - 1)
Let v be 2 - (1904/(-392) - 7/((-21)/18)). Factor 18/7*f**2 + v*f + 10/7*f**3 - 2/7.
2*(f + 1)**2*(5*f - 1)/7
Suppose -735*n**2 + 2 - 2 + 4*n**3 + 723*n**2 - 8*n + 12*n**4 + 4*n**5 = 0. Calculate n.
-2, -1, 0, 1
Let b be -2 - 7/(-21)*15. Let o(i) be the first derivative of -32/3*i**b - 5*i**2 + 4*i + 4 - 9/2*i**4. Factor o(u).
-2*(u + 1)**2*(9*u - 2)
Let t(z) be the second derivative of -2/21*z**4 + 0*z**2 + 0 + 1/105*z**6 - 4/21*z**3 + 1/70*z**5 - 38*z. Determine v so that t(v) = 0.
-2, -1, 0, 2
Let j = 84 - 80. Factor -j*l**2 + 25 - 13 - 8*l - 12.
-4*l*(l + 2)
Let z be 20/(-15)*12/8 + 5. Let s(b) be the second derivative of 1/3*b**z + 1/10*b**2 + 5/12*b**4 + 0 + 3*b. Factor s(o).
(5*o + 1)**2/5
Suppose j - 1 = 4. Determine o so that 8*o - 297*o**4 + 28*o**2 + 4*o**j + 317*o**4 - 4*o**3 + 40*o**3 = 0.
-2, -1, 0
What is i in 4 + 77*i**2 - 4 - 76*i**2 - i = 0?
0, 1
Let k(n) = -8*n**5 + 4*n**4 + 14*n**3 + 20*n**2 + 6*n + 6. Let h(t) = -t**5 + t**4 - t**2 - t + 1. Let a(s) = 12*h(s) - 2*k(s). Factor a(i).
4*i*(i - 3)*(i + 1)**2*(i + 2)
Let o(t) be the second derivative of t**8/30240 - t**7/3780 + t**6/1620 + 5*t**4/12 + 5*t. Let f(c) be the third derivative of o(c). Let f(r) = 0. Calculate r.
0, 1, 2
Let f(h) be the third derivative of 1/735*h**7 + 64/21*h**3 + 0 + 2/7*h**5 - 5*h**2 - 13/420*h**6 - 4/3*h**4 - 5*h. Solve f(l) = 0 for l.
1, 4
Let g(x) = -x**2 - 6*x - 9. Let q be g(-5). Let a(n) = -n**2 - 4*n + 4. Let c be a(q). Suppose -140*p**3 + 140*p**3 - 4*p**2 + 4*p**c = 0. Calculate p.
-1, 0, 1
Suppose 2*a = 4*b + 14, 0 = a - 0*a + 3*b - 2. Suppose -a*p = p - 12. Factor 2/7*s**p + 8/7*s + 8/7.
2*(s + 2)**2/7
Let h be (-5 - -5)/(-6 + 20/5). Factor -8*w - 1/2*w**5 + h - 12*w**3 + 16*w**2 + 4*w**4.
-w*(w - 2)**4/2
Factor -22 - 16/3*p + 2/3*p**2.
2*(p - 11)*(p + 3)/3
Let x(i) be the second derivative of i**4/12 + 13*i**3/6 - 54*i. Factor x(d).
d*(d + 13)
Let x = 29987 - 29983. Factor 1/3*w**x - 4*w**2 - 2/3*w**3 - 5/3 - 14/3*w.
(w - 5)*(w + 1)**3/3
Let y(q) be the third derivative of q**6/1080 - q**5/90 - 5*q**4/72 + 8*q**3/3 - 11*q**2. Let c(n) be the first derivative of y(n). Find i such that c(i) = 0.
-1, 5
Suppose 0 = -g + k + 3, -5*k + 7*k = -2. Let j(i) be the third derivative of 1/30*i**3 + 0*i + 1/300*i**5 - 3*i**g + 0 + 1/60*i**4. Factor j(p).
(p + 1)**2/5
Let j(m) be the first derivative of m**4/3 + 20*m**3/9 - 16*m**2/3 - 16*m - 130. Determine g, given that j(g) = 0.
-6, -1, 2
Let f(w) be the second derivative of 3*w**5/20 - 3*w**4/4 + 6*w + 24. Find j, given that f(j) = 0.
0, 3
Let a(w) = -6*w**2 + 6*w. Let t(x) be the third derivative of -x**5/60 + 11*x**2. Let y(p) = a(p) - 3*t(p). Let y(r) = 0. What is r?
0, 2
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