 + 1 + 4*b - 6.
-5*(b - 1)**2*(b + 1)
Let z(c) be the first derivative of 7*c**3/3 - 4*c**2 + c + 1. Suppose 70 = -4*p + 2. Let u(a) = 20*a**2 - 23*a + 3. Let v(w) = p*z(w) + 6*u(w). Factor v(h).
(h - 1)**2
Let r(k) be the third derivative of -k**5/30 - k**4/3 - k**3 - k**2. Factor r(v).
-2*(v + 1)*(v + 3)
Let k(c) = 3*c - 7. Let r be k(5). Suppose 2*v - 2 = r. Find z such that 6*z**4 + z**3 - z**5 + 5*z**5 + 5*z**v = 0.
-1/3, 0
Let d(q) be the first derivative of -q**6/40 + q**4/8 + q**2/2 - 2. Let k(b) be the second derivative of d(b). Find r such that k(r) = 0.
-1, 0, 1
Let m = -223/510 - -8/17. Let z(n) be the third derivative of 1/12*n**4 + 0*n**3 + 0*n + m*n**5 - 3*n**2 + 0. Factor z(r).
2*r*(r + 1)
Suppose 3*v - 11 = 7. Factor v*h - 5 - h**2 - 4*h**2 + 3*h**2 + 1.
-2*(h - 2)*(h - 1)
Suppose 2/13*m**4 - 6/13*m**3 + 6/13*m - 2/13*m**2 + 0 = 0. Calculate m.
-1, 0, 1, 3
Let n = -128 + 898/7. Find v such that 0*v**2 + 4/7*v**4 - 6/7*v**3 + 0 + n*v = 0.
-1/2, 0, 1
Let l(x) be the first derivative of x**4/72 + x**3/9 + x**2/3 - 8*x + 1. Let i(h) be the first derivative of l(h). Solve i(j) = 0 for j.
-2
Let a be 1662/(-36) + (1 - 2). Let v = 97/2 + a. Solve -2/3 - 4/3*q + 0*q**2 + 2/3*q**4 + v*q**3 = 0.
-1, 1
Let z(y) = y**2 - 11*y + 30. Let d be z(5). Let b(j) be the second derivative of d + j**2 + 1/6*j**4 + 2/3*j**3 + 3*j. Factor b(v).
2*(v + 1)**2
Factor -4/13*v**2 - 6/13*v**3 + 0 + 0*v - 2/13*v**4.
-2*v**2*(v + 1)*(v + 2)/13
Let q(m) be the second derivative of 5*m**7/42 + m**6/3 - 5*m**5/4 - 25*m**4/6 + 10*m**3/3 + 20*m**2 - 4*m. Solve q(i) = 0 for i.
-2, -1, 1, 2
Let r(j) be the third derivative of j**6/90 + j**5/45 - j**4/9 + 2*j**2. Find f, given that r(f) = 0.
-2, 0, 1
Factor 16/5 + 2/5*z**3 + 12/5*z**2 + 24/5*z.
2*(z + 2)**3/5
Let y(c) be the second derivative of -1/14*c**7 + 3*c**2 - 1/5*c**6 + 2*c**4 + 0 - 2*c + 7/2*c**3 + 3/10*c**5. Factor y(m).
-3*(m - 2)*(m + 1)**4
Let h(z) = -z**3 + 6*z**2 + 8*z - 5. Let x(a) = -a**2 + 8*a + 7. Let t be x(8). Let b be h(t). Factor -2*u**4 + u**4 + b*u**4 + u**4.
2*u**4
Let x(t) be the third derivative of 0 - 1/24*t**4 - t**2 + 7/60*t**5 + 0*t + 0*t**3. Find i such that x(i) = 0.
0, 1/7
Let h be 1 - (-4 - 69/(-15)). Solve h*g**2 + 4/5*g - 6/5 = 0 for g.
-3, 1
Let c(x) be the third derivative of x**6/240 + x**5/24 + x**4/8 + 44*x**2. Suppose c(f) = 0. What is f?
-3, -2, 0
Determine b so that 2/5*b**4 - 4/5*b + 0 - 2*b**2 - 6/5*b**3 + 2/5*b**5 = 0.
-1, 0, 2
Suppose 0 = 4*l + 3*i - 13, 5 = -4*l + 7*i - 4*i. Suppose -4*g + 3*g - 4*t - 17 = 0, -4*t - 20 = 0. Factor g*s**2 + l - s**2 - 3.
2*(s - 1)*(s + 1)
Factor 4*w**2 + 3*w**4 + 4*w**2 - 21*w**4 + 3*w**5 + 36*w**3 - 32*w**2.
3*w**2*(w - 2)**3
Suppose 6*p - p - 10 = 0. Let t = -12/11 + 35/22. Factor -1/2*x**p + x - t.
-(x - 1)**2/2
Let b = -734 + 737. Factor 0 + 0*a**2 + 0*a - 2/11*a**4 + 0*a**b.
-2*a**4/11
Let h(j) be the second derivative of 1/12*j**4 + 5*j - 1/20*j**5 + 1/12*j**3 - 1/4*j**2 + 0 + 1/84*j**7 - 1/60*j**6. Suppose h(p) = 0. Calculate p.
-1, 1
Let o(m) be the first derivative of -3/7*m**2 + 2/7*m - 2 + 2/7*m**3 - 1/14*m**4. Factor o(r).
-2*(r - 1)**3/7
Let h(z) be the second derivative of -z**6/120 - z**5/20 + 2*z**3/3 - 3*z**2 + 2*z. Let r(m) be the first derivative of h(m). Factor r(a).
-(a - 1)*(a + 2)**2
Let n(r) = -r**2 + 1. Let u(b) = 4*b**2 + 8*b + 6. Let g(d) = -2*n(d) - u(d). Let g(c) = 0. Calculate c.
-2
Let h(b) be the third derivative of -b**2 - 1/120*b**5 + 1/720*b**6 - 1/36*b**3 + 0 + 0*b + 1/48*b**4. Factor h(v).
(v - 1)**3/6
Suppose -j - 10 = -6*j. Factor -2*c**2 + 2 + 2*c**2 - c - c**j.
-(c - 1)*(c + 2)
Let 24/7*m + 72/7 - 24/7*m**3 - 2/7*m**4 - 10*m**2 = 0. What is m?
-6, -1, 1
Factor -1/2*d**2 + 1 - 1/2*d.
-(d - 1)*(d + 2)/2
Let n be (12/(-20))/(1/(-5)). Let k(g) be the third derivative of -1/24*g**4 + 0*g**n + 0 - g**2 + 1/120*g**5 + 0*g. Factor k(y).
y*(y - 2)/2
Let v(c) = 3*c**4 + 5*c**3 + 5*c**2 + 7*c + 4. Let y = 24 + -23. Let f(s) = -s**3 - s**2 + s + 1. Let q(d) = y*v(d) - 4*f(d). Factor q(w).
3*w*(w + 1)**3
Suppose k + 82 = -2*l, l - 2*k + 32 = 2*k. Let a be 6/(-28)*l/30. Find o such that -2/7*o**3 - a*o**2 + 2/7 + 2/7*o = 0.
-1, 1
Let j(b) be the third derivative of -b**7/525 - b**6/75 - b**5/30 - b**4/30 + 11*b**2. What is s in j(s) = 0?
-2, -1, 0
Let i(s) be the third derivative of s**7/70 - s**6/10 + 3*s**5/10 - s**4/2 + s**3/2 - 28*s**2. Factor i(x).
3*(x - 1)**4
Let r = -156 + 161. Let h(x) be the first derivative of -1/3*x**2 + 0*x**r + 1/3*x**4 + 0*x**3 - 2 - 1/9*x**6 + 0*x. Factor h(i).
-2*i*(i - 1)**2*(i + 1)**2/3
Let h(o) be the first derivative of 2*o**5/55 - o**4/22 + 13. Find p, given that h(p) = 0.
0, 1
Let w = 9 - 14. Let z be 0 + (w - -3) + 2. Factor 0 + 2/5*g**4 + 0*g - 2/5*g**5 + 0*g**3 + z*g**2.
-2*g**4*(g - 1)/5
Let b(m) = 7*m**3 + 7*m**2 - m - 7. Let a(h) = 36*h**3 + 36*h**2 - 4*h - 36. Let c(d) = 3*a(d) - 16*b(d). Suppose c(i) = 0. Calculate i.
-1, 1
Let s(u) = -6*u**5 - 3*u**4 + 12*u**3 + 6*u**2 - 9*u - 9. Let i(a) = -5*a**5 - 2*a**4 + 12*a**3 + 6*a**2 - 9*a - 8. Let h(b) = 3*i(b) - 2*s(b). Factor h(n).
-3*(n - 2)*(n - 1)*(n + 1)**3
Let y(c) be the third derivative of c**8/504 + c**7/105 + c**6/180 - c**5/30 - c**4/18 + 4*c**2. Solve y(z) = 0 for z.
-2, -1, 0, 1
Let m be 0/10*(-2)/6. Factor 0 + 1/4*d**5 + 0*d**2 - 1/2*d**3 + 1/4*d + m*d**4.
d*(d - 1)**2*(d + 1)**2/4
Let i be (-17)/(-4) - (-1 - (-11 + 7)). Let q(o) be the second derivative of -27/2*o**2 + 0 + 3/2*o**3 + 3/20*o**5 + i*o**4 - o. Factor q(b).
3*(b - 1)*(b + 3)**2
Let r(d) be the first derivative of -4*d**3/3 + 9*d**2/2 - 2*d + 8. Factor r(g).
-(g - 2)*(4*g - 1)
Let p(c) be the first derivative of c**6/45 + 2*c**5/75 - c**4/10 - 2*c**3/45 + 2*c**2/15 - 20. Let p(a) = 0. Calculate a.
-2, -1, 0, 1
Let z(o) = o**2 + 24*o - 77. Let f be z(-27). Let -12/7*m - 8/7*m**2 + 12/7*m**f - 4/7 + 4/7*m**5 + 8/7*m**3 = 0. What is m?
-1, 1
Let i(b) be the third derivative of -2*b**7/735 - b**6/70 - b**5/35 - b**4/42 + 7*b**2. Factor i(w).
-4*w*(w + 1)**3/7
Let i = -3 + 6. Let r be 24/(-252) - (-1 + (-804)/63). Factor 4/3 + r*h**2 - 28/3*h**i + 28/3*h.
-(h - 2)*(4*h + 1)*(7*h + 2)/3
Let v(c) = c**3 + 9*c**2 + 8*c + 12. Let f(n) = -3*n**3 - 28*n**2 - 25*n - 34. Let m(k) = -6*f(k) - 17*v(k). Factor m(h).
h*(h + 1)*(h + 14)
Let b be ((-1)/(-8))/(7/((-28)/(-1))). Solve b*n**2 + 0 - 3/2*n**3 + n = 0.
-2/3, 0, 1
Let j(z) = 5*z**2 + z - 4. Let s(x) = -14*x**2 - 2*x + 12. Let d(g) = -8*j(g) - 3*s(g). Factor d(k).
2*(k - 2)*(k + 1)
Let i(c) = c**2 - 5*c + 3. Let w = -12 - -17. Let l be i(w). Factor 2 + 1 - l + 3*z**2.
3*z**2
Let q(z) be the first derivative of 2/9*z**3 + 0*z**2 + 1/15*z**5 + 0*z - 1/4*z**4 - 2. Factor q(l).
l**2*(l - 2)*(l - 1)/3
Suppose -3/2*u**2 - 2 - 1/4*u**3 - 3*u = 0. Calculate u.
-2
Let u(h) be the first derivative of 4*h**3/15 - 8*h**2/5 + 66. Suppose u(r) = 0. Calculate r.
0, 4
Let d be 8*3*(-12)/(-9). Suppose 0 = 4*b - 2 + 14, 5*v - d = 4*b. Suppose p**2 + 2 - 4*p**3 - 3 + v*p**3 - p**3 + p = 0. What is p?
-1, 1
Let g(f) be the first derivative of 2/9*f**3 + 4 - 1/6*f**2 + 0*f. Find y such that g(y) = 0.
0, 1/2
Let k(i) be the first derivative of i**6/39 + 8*i**5/65 + i**4/26 - 20*i**3/39 - 4*i**2/13 + 16*i/13 - 6. Suppose k(o) = 0. What is o?
-2, 1
Let n(o) = -8*o**3 - 141*o**2 - 248*o - 120. Let t(i) = 4*i**3 + 70*i**2 + 124*i + 60. Let f(v) = 2*n(v) + 5*t(v). Solve f(u) = 0.
-15, -1
Factor 3*k**3 - k**3 - 6*k**2 + 7*k**4 + 4*k**2 - 3*k**4.
2*k**2*(k + 1)*(2*k - 1)
Let y(h) be the first derivative of h**4/6 - 2*h**3/9 - h**2/3 + 2*h/3 - 10. Let y(d) = 0. What is d?
-1, 1
Let y(r) be the second derivative of 1/24*r**4 + 0 + 1/4*r**2 + 1/6*r**3 - 2*r. Solve y(i) = 0 for i.
-1
Factor -142*m - 39*m**3 + 200*m**2 - 90 - 113*m + 4*m**3.
-5*(m - 3)**2*(7*m + 2)
Let z(o) be the second derivative of 0*o**2 + 1/20*o**6 + 0*o**3 + 7*o + 1/56*o**7 + 3/80*o**5 + 0*o**4 + 0. Solve z(d) = 0 for d.
-1, 0
Let o be (-6)/(-4)*(-8)/(-6). Factor 0*d**o - d**2 + 3*d**2.
2*d**2
Let k = 3/8290 + 243723/8290. Factor 12/5*y**2 + 0 + 0*y + 231/5*y**4 - 96/5*y**3 - k*y**5.
-3*y**2*(y - 1)*(7*y - 2)**2/5
Let o(u) be the third derivative of -1/3*u**3 + 0*u + 1/30*u**5 - u**2 + 0 - 1/60*u**6 + 1/12*u**4. What is z in o(z) = 0?
-1, 1
Let u(t) be th