x).
-2*x*(x + 32)
Let y(d) = -3*d**5 - 25*d**4 - 30*d**3 + 18*d**2 + 42*d. Let x(n) = -5*n**5 - 50*n**4 - 60*n**3 + 35*n**2 + 85*n. Let h(m) = -2*x(m) + 5*y(m). Factor h(q).
-5*q*(q - 1)*(q + 2)**3
Let -16*i**2 + 13229*i**5 - 28*i**2 + 44*i**4 - 13219*i**5 - 42*i + 32*i**3 = 0. Calculate i.
-3, -7/5, -1, 0, 1
Let r be 13 - 88/(-416)*-60. Factor -2/13*k**2 - 2/13 - r*k.
-2*(k + 1)**2/13
Let b = 32 + -26. Suppose 4*f - 6 - b = 0. Factor 24*s**2 - 27 - 45/2*s - 9/2*s**f.
-3*(s - 3)**2*(3*s + 2)/2
Factor -3/8*c**5 - 27/4*c**3 + 21/8*c**4 - 3*c + 0 + 15/2*c**2.
-3*c*(c - 2)**3*(c - 1)/8
Let x(a) be the third derivative of 2*a**2 + 0*a - 1/450*a**6 + 0*a**4 + 4/3*a**3 + 1/150*a**5 + 0. Let t(v) be the first derivative of x(v). Factor t(k).
-4*k*(k - 1)/5
Let v(t) be the first derivative of -29 + 2*t + 1/9*t**3 - 5/6*t**2. Factor v(g).
(g - 3)*(g - 2)/3
Suppose -16*p + 9*p + 35 = 0. Let b(m) be the third derivative of 1/108*m**6 + 0 - 1/54*m**4 + 0*m**3 + 6*m**2 - 1/90*m**p + 0*m. Determine y so that b(y) = 0.
-2/5, 0, 1
Let t be ((-6)/4)/(120/(-32)). Let s(r) = 20*r - 18. Let n be s(1). Factor 1/5*b**3 + 4/5*b**n + b + t.
(b + 1)**2*(b + 2)/5
Let 119/5*f**3 - 4/5 + 29/5*f + 41/5*f**4 + 111/5*f**2 = 0. What is f?
-1, 4/41
Let j(y) = 2*y**2 + y + 1. Let v be j(-6). Factor 4 - v*f + 30*f + 34*f - f**2.
-(f - 1)*(f + 4)
Let o = -41152 + 41152. What is p in o + 2/3*p + 2/3*p**2 = 0?
-1, 0
Let p = 199 + -397/2. Let n(h) be the first derivative of -6/5*h**5 + 2*h**3 + p*h**4 + 0*h + h**2 - 2/3*h**6 - 5. Suppose n(g) = 0. Calculate g.
-1, -1/2, 0, 1
Let x(n) be the first derivative of -2*n**3/63 - 3*n**2/7 - 12*n/7 + 73. Factor x(z).
-2*(z + 3)*(z + 6)/21
Suppose c - 2*c - 2*r = 0, 5*r = -2*c. Determine q so that 4 - 1 + 6*q**3 - 8*q**4 - 6*q + 5*q**4 + c = 0.
-1, 1
Let x(s) be the third derivative of 2*s**7/735 - s**6/210 - 2*s**5/35 + 2*s**4/21 + 16*s**3/21 - 12*s**2 - 3. Factor x(j).
4*(j - 2)**2*(j + 1)*(j + 2)/7
Let g(z) = -3*z**3 + 12*z**2 - 2*z + 8. Let o be g(4). Factor -3/8*c**2 + o*c + 0.
-3*c**2/8
Solve 33*f**3 + 454/3*f**2 - 385/3*f**4 + 8 + 98/3*f**5 + 196/3*f = 0.
-1/2, -2/7, 2, 3
Let r(o) be the first derivative of -5*o**3/3 - 110*o**2 - 215*o + 67. Solve r(k) = 0.
-43, -1
Let a(k) be the first derivative of k**6/10 - k**5/10 - k**4/3 + k**3/3 + k**2/2 - 19*k - 4. Let d(v) be the first derivative of a(v). Solve d(u) = 0.
-1, -1/3, 1
Let w(b) be the third derivative of 0*b - 7/4*b**5 - 10*b**2 - 5/8*b**6 - 1/2*b**3 + 0 - 11/8*b**4. Find f, given that w(f) = 0.
-1, -1/5
Let d(n) be the third derivative of -n**6/108 + 13*n**5/270 - n**4/27 - 4*n**3/27 + 94*n**2. Suppose d(w) = 0. What is w?
-2/5, 1, 2
Let y = 5 + -3. Let u = y - -10. Factor 13*h**2 + 2*h**2 - 10*h - u*h**3 + 3*h**4 + 4*h.
3*h*(h - 2)*(h - 1)**2
Let z(f) = 2*f - 32. Let v be z(17). Solve 44*j**2 - 7*j**4 + 32*j**2 + 3*j**4 - 60*j**v = 0 for j.
-2, 0, 2
Suppose -2*t + 12 = -t. Let g(j) = -j**3 + 13*j**2 - 13*j + 16. Let u be g(t). Determine n so that 3 + n**4 - 8*n - 5*n**4 + 3*n**u + 6*n**2 = 0.
-3, 1
Factor 3*o**3 - 399 - 23*o**3 + 359 + 70*o - 15*o**2 + 5*o**4.
5*(o - 4)*(o - 1)**2*(o + 2)
Let x(z) = 12*z**2 - 6*z + 5. Let s be (-16)/(-12)*(3 - 0). Let o be x(s). Factor 2*a**3 - a - o*a**5 - 4*a**2 + 4*a**4 + 172*a**5 - 2*a**4 + 2.
-(a - 2)*(a - 1)**2*(a + 1)**2
Let o = -135 + 135. Let r be (-6)/(-24)*(8 + 0). Factor 2/15*f**r + o - 2/15*f.
2*f*(f - 1)/15
Let r = 23599/7 - 3371. Factor 0 + 2/7*l**2 - r*l.
2*l*(l - 1)/7
Let t be (-12)/8 + 9/6. Suppose 5*p = -3*i + 9, -2*p = -3*i + 12 - 3. Find x such that 0*x - 1/3*x**2 + t + x**i = 0.
0, 1/3
Let t(k) = -k**3 + k - 1. Let x(w) = -14*w**3 - 4*w**2 + 10*w - 10. Let v = 16 - 17. Let a(q) = v*x(q) + 10*t(q). Factor a(d).
4*d**2*(d + 1)
Let k(q) = -3*q + 5. Let m be k(-5). Suppose 5*f = -0*f + m. Factor 1 - 3 - 2*v**2 + 4*v + f*v - 6.
-2*(v - 2)**2
Let i(d) be the second derivative of -d**6/50 + 21*d**5/50 - 33*d**4/20 - 56*d**3/5 - 96*d**2/5 - 5*d + 23. Factor i(j).
-3*(j - 8)**2*(j + 1)**2/5
Let h(y) be the second derivative of -y**7/63 + 11*y**6/45 - 11*y**5/10 + 13*y**4/18 + 34*y**3/9 - 8*y**2 + 593*y. Let h(k) = 0. Calculate k.
-1, 1, 4, 6
Let w(k) be the second derivative of -k**5/4 + 5*k**4/6 + 35*k**3/6 + 10*k**2 - 32*k + 1. Factor w(d).
-5*(d - 4)*(d + 1)**2
Let l(r) be the first derivative of 4*r**3/9 - 2*r**2/3 - 8*r/3 - 31. What is i in l(i) = 0?
-1, 2
Let f(y) = -y**4 + y. Suppose 0 = -2*j - 14 + 24. Let i(u) = 5*u**4 - 6*u**3 - 5*u**2 - 6*u. Let h(c) = j*i(c) + 30*f(c). Factor h(v).
-5*v**2*(v + 1)*(v + 5)
Factor 62/7*l**2 + 2/7*l**4 + 6*l + 22/7*l**3 + 0.
2*l*(l + 1)*(l + 3)*(l + 7)/7
Let t(i) = -7*i**2 + 3. Let b(h) be the first derivative of -2*h**3 + 2*h - 16. Let c(z) = -3*b(z) + 2*t(z). Let c(m) = 0. Calculate m.
0
Let c(u) be the first derivative of 16*u**6/9 - 16*u**5/15 - 23*u**4/6 + 14*u**3/9 + 7*u**2/3 + 2*u/3 + 73. What is g in c(g) = 0?
-1, -1/4, 1
Let r = 9259/756 - -35/108. Solve -52/7*h - r*h**2 - 4/7*h**5 - 4*h**4 - 72/7*h**3 - 12/7 = 0 for h.
-3, -1
Let w = 20 + -18. Let -7 + 7*o + 7 + w*o**2 - 3*o - 6 = 0. Calculate o.
-3, 1
Let m(y) = 4*y**3 + 4*y**2 - 6*y - 7. Let a be m(-3). Let f = a + 64. Suppose -96/7*b**4 - 36/7*b**5 - 16/7*b**f + 52/7*b + 8/7 + 88/7*b**2 = 0. Calculate b.
-2, -1, -1/3, 1
Let o(q) = -4*q**4 - 6*q**3 - 4*q**2. Let i(z) = -z**5 - 6*z**4 - 6*z**3 - 4*z**2. Let k(n) = 4*i(n) - 6*o(n). Factor k(b).
-4*b**2*(b - 2)*(b + 1)**2
Let v(t) be the second derivative of 5*t**7/168 + 3*t**6/8 + 15*t**5/8 + 115*t**4/24 + 55*t**3/8 + 45*t**2/8 - 259*t - 1. Factor v(u).
5*(u + 1)**3*(u + 3)**2/4
Let p(d) be the third derivative of -1/150*d**6 + 0 - 24*d**2 - 1/75*d**5 + 1/30*d**4 + 0*d + 2/525*d**7 + 0*d**3. Suppose p(q) = 0. Calculate q.
-1, 0, 1
Let j(i) be the third derivative of -3/35*i**7 + 0*i**3 - 1/5*i**6 - 20*i**2 + 0 + 11/30*i**5 + 0*i - 1/6*i**4. Factor j(g).
-2*g*(g + 2)*(3*g - 1)**2
Factor 0 - 2/3*h**2 + h**3 + 0*h**4 - 1/3*h**5 + 0*h.
-h**2*(h - 1)**2*(h + 2)/3
Let s = -114 + 117. Let 2 + 30*k + 20*k**2 - 37*k - 75*k**s + 24*k = 0. What is k?
-1/5, 2/3
Let y(t) = t + 11. Let m be y(-5). Let z be (2 - (-3 + m))*(-4)/22. Factor 0 - 2/11*b**2 + 2/11*b**4 + z*b**3 - 2/11*b**5 + 0*b.
-2*b**2*(b - 1)**2*(b + 1)/11
Let o(a) be the first derivative of -2*a**5/35 + 87*a**4/14 - 1682*a**3/7 + 24389*a**2/7 - 355. Factor o(z).
-2*z*(z - 29)**3/7
Suppose -20 = -4*w, 4*m + 3*w + 8 = 31. Suppose 0 = -5*f + 23 - 8. What is c in 3*c**2 + c**3 - 8*c - 2*c**m - 5*c**2 + f*c**3 = 0?
-1, 0, 2
Find d, given that -234/5*d**2 + 6084/5*d - 52728/5 + 3/5*d**3 = 0.
26
Let g be (24/16)/((-3)/(-4)). Let s = 4726 + -4726. Factor -2/3*x**5 - 2*x**4 - 2/3*x**2 + 0 + s*x - g*x**3.
-2*x**2*(x + 1)**3/3
Factor 0 + 8*b**3 + 61/4*b**2 + 15/2*b + 1/4*b**4.
b*(b + 1)**2*(b + 30)/4
Determine q so that 27*q**3 - 63091*q**5 + 63103*q**5 + q - 8*q**4 - 4*q**2 - 5*q**2 - 23*q**4 = 0.
0, 1/4, 1/3, 1
Let f be 66/((-52)/(-8) - 5). Suppose -47 = -m - f. Let 0 - 8/5*t**m - 4/5*t - 2/5*t**4 - 2*t**2 = 0. What is t?
-2, -1, 0
Factor -800/3 + 80/3*m - 2/3*m**2.
-2*(m - 20)**2/3
Let o(l) be the third derivative of -l**6/160 + 103*l**5/80 - 2703*l**4/32 + 2601*l**3/8 + 184*l**2. Factor o(p).
-3*(p - 51)**2*(p - 1)/4
Let o(s) be the second derivative of 0*s**3 + 1/10*s**5 - 2/3*s**4 + 0*s**2 - 56*s + 0. Determine g so that o(g) = 0.
0, 4
Let o = -8 + 15. Let k(m) = 3*m - 16. Let n be k(o). Find j such that -13*j**3 - 2*j**3 + j**5 - 4*j**2 + 3*j**3 - n*j**5 - 12*j**4 = 0.
-1, 0
Let g(w) = -3*w**2 - 36*w + 39. Let i = -23 - -14. Let j(m) = -m**2 - 9*m + 10. Let k = 872 + -870. Let o(q) = i*j(q) + k*g(q). Find x such that o(x) = 0.
-4, 1
Let k(g) be the third derivative of -g**8/168 + g**7/21 + 2*g**6/15 - 2*g**5/5 + 184*g**2. Let k(p) = 0. Calculate p.
-2, 0, 1, 6
Let i(w) be the third derivative of -5*w**6/72 + w**5/3 - 7*w**4/24 + w**3/9 - 52*w**2. What is y in i(y) = 0?
1/5, 2
Let s(o) = 3*o**3 - 7*o**2 - 19*o - 4. Let n be s(4). Factor -1/5*z**5 + 1/5*z**3 + n + 1/5*z**2 + 0*z - 1/5*z**4.
-z**2*(z - 1)*(z + 1)**2/5
Suppose 5*i - 30 = 3*i. Solve -i*r**3 - 19*r**4 + 7*r**4 + 10*r**5 + 7*r**4 + 5*r + 5*r**2 = 0.
-1, -1/2, 0, 1
Let u(k) = k**3 - 11*k**2 - 4*k + 14. Let m be u(1). Factor -2/7*j**3 + 0*j**2 + 0 + 2/7*j**4 + m*j.
2*j*