h - 5. Let k(w) be the first derivative of m(w). Let k(x) = 0. What is x?
0, 1
Factor -1/7*l**2 + 16/7*l - 64/7.
-(l - 8)**2/7
Let h = 20 + -20. Let k(r) be the second derivative of -r - 1/30*r**5 + 1/126*r**7 + 0*r**2 + 0 + 0*r**6 + 1/18*r**3 + h*r**4. Factor k(i).
i*(i - 1)**2*(i + 1)**2/3
Let b(o) = -o**3 + o - 1. Let g(n) = 2*n**3 - 2*n + 4. Let p(h) = -4*b(h) - g(h). Find j, given that p(j) = 0.
-1, 0, 1
Let w = 0 + 2. Let 0*a**w + 33*a**3 + a**2 - 4*a**2 - 3*a**2 = 0. What is a?
0, 2/11
Suppose -9 = -5*f + 2*f. Suppose -13 = -4*t + f*q, 24 = 5*t - 0*q + 4*q. Factor r**5 + 3*r**t + r**4 - 2*r**3 - 3*r**5.
-2*r**3*(r - 1)**2
Let v(s) be the third derivative of 4*s**7/105 - s**6/60 - s**5/120 + s**4/192 - 2*s**2. Solve v(q) = 0.
-1/4, 0, 1/4
Let j(p) be the third derivative of 0*p + 1/45*p**5 + 0*p**3 + 1/36*p**4 + 1/180*p**6 + 0 + p**2. Let j(z) = 0. Calculate z.
-1, 0
Let r be (3/45)/((-1)/(-6)). Let f(v) be the first derivative of 1 - r*v**5 - 1/2*v**4 + 0*v + 2/3*v**3 + v**2. Factor f(l).
-2*l*(l - 1)*(l + 1)**2
Let x(d) = 24*d**3 - 16*d**2 + 44*d - 10. Let g(f) = -5*f**3 + 3*f**2 - 9*f + 2. Let n(z) = 14*g(z) + 3*x(z). Find c such that n(c) = 0.
1
Let y = 72 + -68. Factor -6*k**3 - y*k**4 + 0 - 1/4*k - 9/4*k**2.
-k*(k + 1)*(4*k + 1)**2/4
Let v be ((-2)/7)/((-11)/77). Let b be (-1 - (1 - 2)) + v. Factor -3/4*c**3 - 3/2*c**b + 0 - 3/4*c.
-3*c*(c + 1)**2/4
Let a(y) be the second derivative of -y**6/160 - y**5/40 - y**4/32 + y**2/2 + y. Let m(l) be the first derivative of a(l). Factor m(p).
-3*p*(p + 1)**2/4
Suppose -y - x - 3*x + 11 = 0, -3*x - 6 = -4*y. Find k, given that 7/6*k**2 + 1/3*k + 3/2*k**y + 1/6*k**5 + 5/6*k**4 + 0 = 0.
-2, -1, 0
Let x(y) be the second derivative of y**6/420 + y**5/210 - y**4/42 + 2*y**2 - 5*y. Let w(v) be the first derivative of x(v). Suppose w(o) = 0. Calculate o.
-2, 0, 1
Suppose 4*k + 2*t = 6 + 4, 4*k + t = 7. Let q be k*(2 + (-5)/3). Let -1/3*p**3 + 0 + 2/3*p**2 - q*p**4 + 0*p = 0. Calculate p.
-2, 0, 1
Let h(u) be the third derivative of u**8/50400 - u**7/6300 - u**6/600 - u**5/12 + 7*u**2. Let p(t) be the third derivative of h(t). Factor p(z).
2*(z - 3)*(z + 1)/5
Suppose -v + 27 = 22. Let l(n) be the third derivative of -n**2 + 1/105*n**7 + 0*n**3 + 0*n + 0*n**v - 1/60*n**6 + 0 + 0*n**4. Factor l(m).
2*m**3*(m - 1)
Let r(b) be the first derivative of 2/27*b**3 - 2 + 0*b + 0*b**2 + 2/45*b**5 - 1/9*b**4. Find c such that r(c) = 0.
0, 1
Let s = 171 - 8207/48. Let k(q) be the third derivative of -q**2 + 1/120*q**5 + 0*q + 0 - s*q**4 - 1/6*q**3. Factor k(g).
(g - 2)*(g + 1)/2
Factor -2/5*w**2 + 8/5 + 0*w.
-2*(w - 2)*(w + 2)/5
Let h(j) = 28*j**2 - 20*j - 16. Let u(z) = -2*z**2. Let b(s) = h(s) + 16*u(s). Factor b(k).
-4*(k + 1)*(k + 4)
Let c(j) be the second derivative of 0 - 1/6*j**4 + 1/10*j**5 + j + 0*j**3 + 0*j**2. Factor c(d).
2*d**2*(d - 1)
Let v(a) be the first derivative of -2*a**3 - a**2 + 4*a + 1. Let s be (-4)/2*10/4. Let w(q) = 7*q**2 + 3*q - 5. Let g(d) = s*v(d) - 4*w(d). Factor g(c).
2*c*(c - 1)
Let j = 12 - 21. Let h(o) = o**2 + 9*o + 3. Let m be h(j). Solve -10*i**4 - 10*i**m + 0*i**2 - 4*i**2 - 4*i**3 = 0 for i.
-1, -2/5, 0
Let g(n) be the second derivative of n**7/12600 - n**6/3600 - n**5/300 + n**4/12 - 3*n. Let h(d) be the third derivative of g(d). Factor h(a).
(a - 2)*(a + 1)/5
Determine f, given that 10*f + 4*f**2 - 5*f**2 - 18 - 7 = 0.
5
Let l(x) = 2*x**3 - x**2 + x - 1. Let w(t) = 4*t**3 - 11*t**2 - t + 9. Let b(g) = -l(g) + w(g). What is m in b(m) = 0?
-1, 1, 5
Let c(y) = -y + 2. Let i be c(-2). Factor i*w**2 - w**2 - 6*w**2 + 3.
-3*(w - 1)*(w + 1)
Solve -12 + 123*g**3 - 74*g**5 - 48*g + 4*g**4 + 11*g**4 - 28*g**5 + 27*g**5 - 3*g**2 = 0 for g.
-1, -2/5, 1
Let j(o) = -4*o**5 + 5*o**4 - 5*o - 5. Let s(n) = n**5 + n + 1. Let c(w) = -2*j(w) - 10*s(w). Factor c(q).
-2*q**4*(q + 5)
Let a(j) be the third derivative of -j**7/630 - j**6/240 - j**5/360 + 28*j**2. Factor a(x).
-x**2*(x + 1)*(2*x + 1)/6
Let x(f) be the first derivative of 4 + 1/9*f**3 - 1/6*f**2 - 1/3*f + 1/12*f**4. Determine v so that x(v) = 0.
-1, 1
Determine x so that -9/7 + 39/7*x - 12/7*x**2 = 0.
1/4, 3
Determine b so that -1/3*b**5 - 1/3 + 2/3*b**3 - 1/3*b - 1/3*b**4 + 2/3*b**2 = 0.
-1, 1
Let v(w) be the third derivative of -w**6/1620 + w**5/90 - w**4/12 - 2*w**3/3 - w**2. Let o(d) be the first derivative of v(d). Determine r so that o(r) = 0.
3
Let n be (1 - 0)*(156/20 - 5). Suppose n*x**4 + 4/5 + 2*x - 2*x**3 - 18/5*x**2 = 0. Calculate x.
-1, -2/7, 1
Determine b, given that 5*b**4 + 0*b**3 + 6*b**2 - 3*b**3 - 14*b**4 = 0.
-1, 0, 2/3
Let q(t) be the second derivative of t**8/420 - t**7/42 + t**6/10 - 7*t**5/30 + t**4/3 + 7*t**3/6 + 8*t. Let a(k) be the second derivative of q(k). Factor a(i).
4*(i - 2)*(i - 1)**3
Suppose d - 2 = 3. Suppose 8*v - 3*v - d = 0. Factor 1/2*z - 1/2*z**2 + v.
-(z - 2)*(z + 1)/2
Let o(h) be the third derivative of h**7/3465 - h**6/3960 + h**4/12 - h**2. Let r(v) be the second derivative of o(v). Determine n so that r(n) = 0.
0, 1/4
Let r = -71 + 74. Let b(i) be the second derivative of -i + 0*i**r + 0 + 1/15*i**6 + 0*i**2 + 1/25*i**5 + 0*i**4. Factor b(z).
2*z**3*(5*z + 2)/5
Let g be (-12)/90*(-4 + -1). Let i = -4 - -8. Determine q, given that -g*q**3 - 1/3*q**i + 0 - 1/3*q**2 + 0*q = 0.
-1, 0
Let h(z) = 3*z - 5. Let r be h(3). Let i be (4 - r)/(4/2). Factor 4/7*q**3 + 2/7 - 2/7*q**4 - 4/7*q + i*q**2.
-2*(q - 1)**3*(q + 1)/7
Suppose 0 = 11*o + 48 - 70. Determine h, given that 1/4*h**o - h + 3/4 = 0.
1, 3
Let x be (4/10)/(-5 + 62/10). Factor 2/3*d - x + d**2.
(d + 1)*(3*d - 1)/3
Let z(g) be the second derivative of -g**6/10 - g**5/20 + 20*g. Factor z(o).
-o**3*(3*o + 1)
Let n(m) = -m**2 + 1. Let o(q) = -7*q**2 - 9*q - 8. Let h(v) = 2*n(v) + o(v). Let a(z) = 8*z**2 + 8*z + 5. Let w(b) = -6*a(b) - 5*h(b). Solve w(y) = 0.
-1, 0
Let v = 6 + -4. Suppose 0 = -c - 0*j - 4*j + 4, 0 = 3*c + j - 1. What is k in 1/2*k**3 - 1/4 - 1/2*k + 1/4*k**4 + c*k**v = 0?
-1, 1
Let f(q) be the second derivative of -q**2 - 4/3*q**3 + 7/30*q**5 + 0 - 3*q + 0*q**4 + 1/20*q**6. Let l(d) be the first derivative of f(d). Solve l(b) = 0.
-2, -1, 2/3
Let r(i) be the first derivative of i**4/2 - 4*i**3/9 - 7*i**2/3 - 4*i/3 - 7. Factor r(t).
2*(t - 2)*(t + 1)*(3*t + 1)/3
Let h(a) = -42*a**2 - 91*a - 29. Let i(f) = -21*f**2 - 45*f - 15. Let c(d) = -3*h(d) + 5*i(d). Find r, given that c(r) = 0.
-2, -2/7
Suppose 2*s - 1 = 5. Let n(z) be the second derivative of 0 - s*z + z**2 - 1/6*z**4 + 1/10*z**5 - 1/3*z**3. Factor n(k).
2*(k - 1)**2*(k + 1)
Let l be 4/(-14) + (-214)/(-14). Factor 54*x + 27 + 28*x**2 + 10*x**3 + l*x**2 - 7*x**2 + x**4.
(x + 1)*(x + 3)**3
Let g be -34*(-21)/54 - 1. Let w = g + -12. Factor -w*q**2 + 0 + 0*q.
-2*q**2/9
Let o(m) be the first derivative of 2*m**3/3 - 13. Factor o(u).
2*u**2
Factor 0*i**3 - 3/5 + 0*i + 6/5*i**2 - 3/5*i**4.
-3*(i - 1)**2*(i + 1)**2/5
Let g(o) be the third derivative of o**9/332640 - o**8/36960 + o**7/9240 - o**6/3960 - o**5/30 - 8*o**2. Let f(q) be the third derivative of g(q). Factor f(w).
2*(w - 1)**3/11
Let g(h) = 15*h**5 - 19*h**4 + 4*h**3 + 3*h**2 - 3. Let r(s) = s**5 - s**4 - s**2 + 1. Let w(i) = -g(i) - 3*r(i). Solve w(a) = 0.
0, 2/9, 1
Suppose 11*c**3 - 21*c + 19*c**5 + c**3 - 18*c**2 - 6 + 24*c**4 - 10*c**5 = 0. What is c?
-1, -2/3, 1
Let m(v) = v**4 + v. Let b(t) = -2*t**4 - 2*t**2 - 4*t. Let x(z) = -b(z) - 4*m(z). Factor x(c).
-2*c**2*(c - 1)*(c + 1)
Suppose -3 = -z + 2. Let o(v) = v**2 - 6*v + 6. Let t be o(z). Solve -2*n**3 - n**4 + 3*n**3 + 2*n - 3*n**3 + t = 0.
-1, 1
Let m be (-2)/(-7) - (-565)/7. Suppose g = k + 3*k - m, -37 = -2*k - 3*g. Factor -4*z - 2*z**4 + 0*z - k*z**2 - 4*z + 11*z**4 - 6*z**3.
z*(z - 2)*(3*z + 2)**2
Let f be 23/7 + (-14)/49. Let m(i) be the third derivative of 0*i**f - 1/180*i**6 + 0 + 0*i**4 + i**2 + 1/630*i**7 + 1/180*i**5 + 0*i. Factor m(s).
s**2*(s - 1)**2/3
Let i(a) = -a**4 + a**3 - 4*a**2 + 3. Let r(t) = -2*t**4 + 2*t**3 - 4*t**2 + 4. Let b(l) = -4*i(l) + 3*r(l). What is n in b(n) = 0?
-1, 0, 2
Let v(w) = -w - 2. Let z be v(-3). Let m be 3 + -3 - (-2)/z. Let 0*q**5 + q**5 + 28*q + 25*q**3 + 38*q**m + 8*q**4 - 3 + 11 = 0. Calculate q.
-2, -1
Let 1/3*f**5 - 1/3*f**2 + 1/3*f**4 - 1/3*f**3 + 0 + 0*f = 0. Calculate f.
-1, 0, 1
Let k be 1 + (-93)/