in 2/5*f**2 - 212/5*f + 0 = 0?
0, 106
Determine x, given that -4*x**2 - 5*x - 4/3 + 4/3*x**3 = 0.
-1/2, 4
Suppose 4*w + 2*h - 34 = 0, -h = 3*w - 4*h - 30. Let y be (w/(-4))/((-9)/12). Factor -6*i**2 - 9*i**2 - 20*i + 26*i - 3*i**5 + 9*i**3 + y*i**4.
-3*i*(i - 1)**3*(i + 2)
Let l(p) be the second derivative of -p**7/42 + 2*p**6/15 - 3*p**5/20 - p**4/3 + 2*p**3/3 + 2*p + 1. Solve l(s) = 0.
-1, 0, 1, 2
Factor 12*s**3 + 6*s**3 - 217*s**2 - 14*s**3 + 53*s**2.
4*s**2*(s - 41)
Let d(r) be the first derivative of r**7/4620 - r**6/990 + 8*r**3/3 + 14. Let s(b) be the third derivative of d(b). Factor s(u).
2*u**2*(u - 2)/11
Suppose 6 = 2*n - 2*r, -3*n + 2*r - 1 = -8. Suppose 2*q - 5 = n. Determine s so that -4*s - 6*s - 8*s**2 + 14*s + 4*s**q = 0.
0, 1
Let k(z) be the third derivative of -14*z**2 + 0*z + 0*z**5 + 0*z**4 - 1/105*z**7 + 0 + 0*z**3 + 0*z**6. Factor k(s).
-2*s**4
Solve -156 + 48*g + 29 + 87*g**2 + 34 - 195 - 89*g**2 = 0 for g.
12
Let i(u) be the first derivative of -5*u**6/3 + 14*u**5/5 + 3*u**4/2 - 14*u**3/3 + 2*u**2 - 126. Determine v so that i(v) = 0.
-1, 0, 2/5, 1
Let s = 4 + -2. Let l = 142 + -422/3. Find u such that l*u**3 - 8/3*u**s + 4/3*u + 0 = 0.
0, 1
Let u(j) be the third derivative of 0*j + 0 + 1/32*j**4 - 1/80*j**5 - 51*j**2 + 3/4*j**3. Solve u(y) = 0 for y.
-2, 3
Let t(f) = -47*f - 750. Let m be t(-16). Factor -5/6*a - 1/3*a**m - 1/2.
-(a + 1)*(2*a + 3)/6
Let d(v) be the third derivative of -v**9/336 - v**8/112 - v**7/280 + v**6/120 - 7*v**3 - 2*v**2 - 11*v. Let b(y) be the first derivative of d(y). Factor b(r).
-3*r**2*(r + 1)**2*(3*r - 1)
Let w(c) be the second derivative of c**8/10080 + c**7/5040 - c**6/4320 - 5*c**4/6 + 16*c. Let p(d) be the third derivative of w(d). Factor p(j).
j*(j + 1)*(4*j - 1)/6
Let x(u) be the second derivative of -u**6/1980 + u**5/110 - 2*u**4/33 - 37*u**3/6 + 4*u. Let q(h) be the second derivative of x(h). Factor q(b).
-2*(b - 4)*(b - 2)/11
Determine t so that 2/3*t**2 + 8/3*t + 0 - 1/3*t**3 = 0.
-2, 0, 4
Suppose 0 = -2*b + 171 + 83. Let v = b - 127. Factor v*y + 0 + 2/11*y**2.
2*y**2/11
Let m = -34 - -33. Let u be (0 + (-1)/10)/m*4. Factor 4/5*t**2 - 2/5 - u*t**5 + 4/5*t**3 - 2/5*t**4 - 2/5*t.
-2*(t - 1)**2*(t + 1)**3/5
Factor -13*z**4 + 24*z**2 + 82*z**3 + 10 - 86*z**3 + 11*z**4 - 28*z.
-2*(z - 1)**3*(z + 5)
Let j(o) = 5*o**4 - 4*o**3 - 26*o**2 + 16*o + 21. Let p(a) = -10*a**4 + 9*a**3 + 51*a**2 - 31*a - 41. Let f(i) = 11*j(i) + 6*p(i). Factor f(s).
-5*(s - 3)*(s - 1)*(s + 1)**2
Let n(t) be the third derivative of t**7/42 - t**6/6 - 3*t**5/2 - 25*t**4/6 - 35*t**3/6 - 6*t**2 + t. Factor n(h).
5*(h - 7)*(h + 1)**3
Let f(b) be the third derivative of -9*b**6/40 + 21*b**5/20 + 17*b**4/8 + 3*b**3/2 - 13*b**2 + b. Suppose f(q) = 0. What is q?
-1/3, 3
Let 1/2*q**4 + 0 - 9*q**3 + 0*q + 17/2*q**2 = 0. What is q?
0, 1, 17
Let n(p) = 2*p**2 - 10*p - 25. Let v be n(-2). Let h(o) be the first derivative of o**v + 3/2*o**2 - 3/4*o**4 - 3 - 3*o. Factor h(i).
-3*(i - 1)**2*(i + 1)
Let u = 722 - 716. Let g(q) be the first derivative of -4/25*q**5 - 1/4*q**4 + 0*q + 2 + 0*q**2 - 2/15*q**3 - 1/30*q**u. Factor g(k).
-k**2*(k + 1)**2*(k + 2)/5
Let q(h) = 34*h**3 - 4*h**2 + 8*h + 18. Let o(k) = -12*k**3 + k**2 - 3*k - 6. Let z(j) = 14*o(j) + 5*q(j). Factor z(l).
2*(l - 3)*(l - 1)*(l + 1)
Let j(a) be the second derivative of 1/10*a**5 + 1/2*a**4 + 2*a**2 + 0 - 8*a - 5/3*a**3 - 1/15*a**6. Factor j(n).
-2*(n - 1)**3*(n + 2)
Let f(q) be the second derivative of q**5 - q**4 - 124*q**3/3 - 48*q**2 - 3*q - 5. Factor f(v).
4*(v - 4)*(v + 3)*(5*v + 2)
Let c(f) be the third derivative of 2*f**5/195 - f**4/156 - 5*f**3/39 + 25*f**2 - 3. Find l, given that c(l) = 0.
-1, 5/4
Suppose -4/3*u**3 - 1/3 + u**2 + 5/6*u + 1/2*u**5 - 2/3*u**4 = 0. Calculate u.
-1, 1/3, 1, 2
Let t(a) = -10*a**5 + 45*a**4 + 105*a**3 + 100*a**2 + 25*a - 10. Let i(n) = -3*n**5 + n**2 - n - 2. Let q(f) = -5*i(f) + t(f). Suppose q(p) = 0. Calculate p.
-6, -1, 0
Suppose 3*s + 2*i - 26 = 0, 4*s - 17*i - 37 = -20*i. Suppose 4/9*a - 8/9*a**2 - 4/9*a**3 + 2/9*a**s + 2/3 = 0. What is a?
-1, 1, 3
Let r(o) = -o**3 + 3*o**2 + 5*o - 2. Let p be r(4). Let f be 2/3 + 1/3. Solve 2*t**4 + f + 2*t**2 - 3*t**4 - p = 0 for t.
-1, 1
Suppose -y - 6*j - 13 = -3*j, -y = 4*j + 18. Factor -y - 10/7*t**2 - 2/7*t**3 + 26/7*t.
-2*(t - 1)**2*(t + 7)/7
Let a be ((-100)/(-8))/((-4)/(-8)). Let b = -10 + a. Factor -10*p**3 + 5*p**3 - 7*p**3 - 13*p**3 + 10*p - b*p**2.
-5*p*(p + 1)*(5*p - 2)
Let q(p) = -17*p**4 - 52*p**3 + 155*p**2 - 12*p - 202. Let y(n) = 2*n**4 + n**3 + n**2 - 2. Let v(l) = -q(l) - 7*y(l). Factor v(d).
3*(d - 2)**2*(d + 1)*(d + 18)
Let h(m) be the first derivative of 2*m**4/5 - 2*m**3/15 - 4*m**2/5 + 2*m/5 - 15. Let h(n) = 0. Calculate n.
-1, 1/4, 1
Let y = -15 - -17. Factor 36*m**4 + 15*m**2 + 2 - 16*m + y + 48*m**3 - 23*m**2.
4*(m + 1)**2*(3*m - 1)**2
Let c(m) be the first derivative of -m**5/100 - 3*m**4/40 - m**3/5 - 4*m**2 - 3. Let s(o) be the second derivative of c(o). What is i in s(i) = 0?
-2, -1
Let g be (40/(-14))/((-46)/(-161)). Let a be -6 + -30*g/45. Suppose 2/3*o**2 + a*o + 2/9*o**3 + 2/9 = 0. What is o?
-1
Let v(z) = z - 2. Let m be v(4). Factor 0*l**4 + m*l**3 + 4*l + 20 - 16 - l**4 - 3*l**2 - 6*l**3.
-(l - 1)*(l + 1)*(l + 2)**2
Let r(l) be the first derivative of -2*l**4 + 10*l**3 - 38*l**3 + 4 - 2 - 400*l + l**4 - 240*l**2. Determine n, given that r(n) = 0.
-10, -1
Let z = 21 - 13. Let r be (-1)/z - (-50)/16. What is b in 2/5*b**4 + 0*b - 1/5*b**5 - 1/5*b**r + 0*b**2 + 0 = 0?
0, 1
Let k(z) be the first derivative of 2*z**5/5 - 4*z**4 + 46*z**3/3 - 28*z**2 + 24*z + 111. Factor k(w).
2*(w - 3)*(w - 2)**2*(w - 1)
Suppose 3*q - 38 = -29. Let s(m) = 5 + 3*m**2 + 7*m - 2*m**2 - 5*m**2. Let k(o) = -2*o**2 + 3*o + 3. Let r(j) = q*s(j) - 5*k(j). Factor r(p).
-2*p*(p - 3)
Let f(q) be the first derivative of q**5/10 + q**4/6 - q**3/3 - q**2 - 3*q + 8. Let j(y) be the first derivative of f(y). Solve j(k) = 0.
-1, 1
Factor -4/3*s**2 + 10/3*s + 4/3 - 10/3*s**3.
-2*(s - 1)*(s + 1)*(5*s + 2)/3
Let z(x) be the first derivative of 4/13*x**4 + 1/39*x**6 + 0*x + 6 + 8/39*x**3 + 2/13*x**5 + 0*x**2. Factor z(g).
2*g**2*(g + 1)*(g + 2)**2/13
Let r(a) be the second derivative of a**4/12 - a**3/3 + 3*a**2/2 + 13*a. Let q be r(1). Find o, given that 2/5*o**q + 4/5 - 6/5*o = 0.
1, 2
Let v(u) = 1. Let k = 25 + -19. Let i be 30/7 - k/21. Let y(l) = -l**3 + 3*l + 6. Let m(n) = i*v(n) - y(n). Factor m(t).
(t - 2)*(t + 1)**2
Let b be 30/(-2)*(-12)/(-9). Let w(l) = 22*l**3 + 8*l**2 + 10*l. Let k(d) = d**4 + d**3 + d**2 + d. Let j(p) = b*k(p) + 2*w(p). Factor j(s).
-4*s**2*(s - 1)*(5*s - 1)
Factor 3/4*c - 5/4*c**2 + 2.
-(c + 1)*(5*c - 8)/4
Let f = -14472/35 - -2900/7. Find x, given that 0 + f*x**4 - 12/5*x + 28/5*x**2 - 4*x**3 = 0.
0, 1, 3
Determine w so that 16/11*w - 28/11*w**2 - 2/11*w**4 + 14/11*w**3 + 0 = 0.
0, 1, 2, 4
Let t(l) = 4*l**2 - 6*l - 6. Let b = -35 - -29. Let w(f) = -4*f**2 + 7*f + 5. Let k(c) = b*w(c) - 5*t(c). Factor k(n).
4*n*(n - 3)
Let c = 473 - 469. Let w(f) be the second derivative of 0 - 6*f + 1/4*f**c + 9/2*f**2 + 2*f**3. Determine m, given that w(m) = 0.
-3, -1
Let q(r) be the second derivative of -r**5/90 + 7*r**4/6 - 49*r**3 + 1029*r**2 + 94*r. Determine z so that q(z) = 0.
21
Let b = -19 - -21. Let j be b/(24/44) + -3. What is o in -j*o**5 + 2/3*o**3 + 0 - 2/3*o**2 + 0*o + 2/3*o**4 = 0?
-1, 0, 1
Let t(h) be the first derivative of -h**5/20 - 133*h**4/16 - 1539*h**3/4 - 12935*h**2/8 - 4225*h/2 + 493. Find q, given that t(q) = 0.
-65, -2, -1
Let j(k) = -5*k**3 + 56*k**2 - 137*k + 82. Let p(w) = -45*w**3 + 505*w**2 - 1235*w + 740. Let m(z) = -35*j(z) + 4*p(z). Factor m(b).
-5*(b - 9)*(b - 2)*(b - 1)
Determine c so that -6/11 + 8/11*c - 2/11*c**2 = 0.
1, 3
Let c(q) = -30*q**3 - 107*q**2 + 252*q - 141. Let t(w) = 7*w**3 + 27*w**2 - 63*w + 35. Let p(s) = 6*c(s) + 26*t(s). Determine l, given that p(l) = 0.
-32, 1
Determine n so that 2*n**4 - 130/9*n**3 - 40/9*n + 208/9*n**2 + 0 = 0.
0, 2/9, 2, 5
Let r(x) be the first derivative of -x**3/18 + x**2/12 + x/3 - 69. Factor r(b).
-(b - 2)*(b + 1)/6
Let r(w) be the third derivative of -2*w**2 - 9/56*w**8 + 19/35*w**7 - 2/3*w**4 - 6/5*w**5 + 0*w**3 + 7/30*w**6 + 0*w + 0. Suppose r(s) = 0. What is s?
-2/3, -2/9, 0, 1, 2
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