Let g(h) = -2*r(h) + 5*u(h). Factor g(v).
-4*(v - 12)**2
Let u(v) be the first derivative of -v**6/15 + 128*v**5/25 - 512*v**4/5 + 301. Solve u(h) = 0 for h.
0, 32
Let o(p) be the third derivative of p**6/24 - 2*p**5 + 115*p**4/24 - 8*p**2 + 3*p. Factor o(f).
5*f*(f - 23)*(f - 1)
Find b, given that 10 + 40 + 57*b**2 - 3*b**3 - 21 - 105*b + 22 = 0.
1, 17
Let l(j) be the third derivative of -1/240*j**6 + 1/1344*j**8 + 0*j**5 + 0*j**3 + 0*j + 2*j**2 + 1/96*j**4 + 0*j**7 + 0. Factor l(r).
r*(r - 1)**2*(r + 1)**2/4
Let i(m) be the first derivative of -3*m**2 - 1/48*m**4 + 0*m + 0*m**3 + 1/240*m**5 + 2. Let k(x) be the second derivative of i(x). Suppose k(o) = 0. What is o?
0, 2
Find l such that 1/9*l**4 + 71/3*l**2 + 164/9 - 332/9*l - 46/9*l**3 = 0.
1, 2, 41
Let j be -3 + (6 - (-12)/(-4)). Suppose 5*v - 18 = 2*y, -4*v + 4*y + 12 = -j*v. Let 3*s**4 - 2*s**2 - s - 2 + s**5 + v*s**3 - 2*s + 1 - 2*s**3 = 0. Calculate s.
-1, 1
Suppose 6*d - s + 3 = 0, -d - s - 6 = -3*s. Factor 0*x + 4/3*x**2 + 2*x**3 + 2/3*x**4 + d.
2*x**2*(x + 1)*(x + 2)/3
Let k(c) be the first derivative of 2/33*c**6 + 0*c + 6/55*c**5 - 1/22*c**4 - 2/11*c**3 - 1/11*c**2 + 16. Solve k(t) = 0.
-1, -1/2, 0, 1
Suppose 18 = -33*l + 35*l + 5*k, -3*l + 8 = -2*k. Solve -6*c**2 - 6*c**l + 0 - 3/2*c - 9*c**3 - 3/2*c**5 = 0.
-1, 0
Let q(z) be the third derivative of 1/150*z**5 + 0*z + 0*z**3 + 0*z**4 + 17*z**2 + 1/1050*z**7 + 0 - 1/200*z**6. Factor q(j).
j**2*(j - 2)*(j - 1)/5
Let f(u) be the third derivative of -u**8/112 + u**7/14 - 3*u**6/20 - u**5/10 + 7*u**4/8 - 3*u**3/2 - 95*u**2. Suppose f(w) = 0. What is w?
-1, 1, 3
Let x = -32/55 - -1836/1265. Factor 2/23*t**2 - x*t + 50/23.
2*(t - 5)**2/23
Let w(f) be the first derivative of 14/39*f**3 + 15/13*f**2 + 1/26*f**4 + 18/13*f + 4. Factor w(x).
2*(x + 1)*(x + 3)**2/13
Let v(c) be the second derivative of 5*c + 1/13*c**2 + 2/39*c**3 + 0 + 1/78*c**4. Solve v(l) = 0 for l.
-1
Factor -32/7*z**2 - 368/7*z - 1058/7.
-2*(4*z + 23)**2/7
Let m(z) be the third derivative of z**9/7560 - z**8/1680 + z**7/1260 + z**4/4 - 4*z**2. Let b(n) be the second derivative of m(n). Factor b(j).
2*j**2*(j - 1)**2
Let x(t) be the third derivative of -t**7/5880 + t**6/280 - t**5/35 - 7*t**4/8 + 20*t**2. Let b(f) be the second derivative of x(f). Factor b(j).
-3*(j - 4)*(j - 2)/7
Let h = -123/476 + 37/68. Determine s so that 0 + 2/7*s + h*s**3 - 4/7*s**2 = 0.
0, 1
Let j(c) be the third derivative of c**7/105 - c**6/20 - 4*c**5/15 + c**4 + 16*c**3/3 - 4*c**2 - 6*c. Let j(l) = 0. What is l?
-2, -1, 2, 4
Let f = 1813/612 + -48/17. Let z(p) be the second derivative of 4*p + f*p**4 - 4/9*p**3 - 1/60*p**5 + 0 + 2/3*p**2. Suppose z(o) = 0. What is o?
1, 2
Let l(h) be the first derivative of h**3/12 + 21*h**2/4 + 41*h/4 - 33. Find j such that l(j) = 0.
-41, -1
Let g = -85 + 89. Factor -7044 - 28*k - 5*k**g + 7068 + 6*k**2 + 4*k**4 + 3*k**3.
-(k - 2)**3*(k + 3)
Let d(h) be the third derivative of -h**7/504 - h**6/48 - h**5/12 + 11*h**4/24 - 12*h**2. Let q(c) be the second derivative of d(c). Find b such that q(b) = 0.
-2, -1
Factor 8*y**2 + 2/7 + 58/7*y.
2*(y + 1)*(28*y + 1)/7
Let o(b) be the first derivative of 6/7*b**4 + 2/7*b**2 + 16/35*b**5 + 16/21*b**3 + 2/21*b**6 + 7 + 0*b. Determine z so that o(z) = 0.
-1, 0
Let i(x) be the second derivative of -x**5/4 - 65*x**4/4 - 95*x**3/3 - 2*x + 157. Factor i(t).
-5*t*(t + 1)*(t + 38)
Let k(s) be the first derivative of s**6/21 - 26*s**5/35 + 16*s**4/7 - 40*s**3/21 - 131. What is j in k(j) = 0?
0, 1, 2, 10
Suppose 3*n + 0*h + h - 85 = 0, 0 = 2*n - h - 50. Let a = n - 23. Factor -8 + 21*s**2 - 2*s - 13*s**2 + a*s**3 - 2*s.
4*(s - 1)*(s + 1)*(s + 2)
Let 1/2 - 37/4*f**2 - 35/4*f = 0. Calculate f.
-1, 2/37
Let k(q) be the second derivative of -q**5/210 - q**4/21 - q**3/7 - 3*q**2 - 14*q. Let s(r) be the first derivative of k(r). Determine a so that s(a) = 0.
-3, -1
Let z(p) = 9*p**2 - 9*p + 8. Let u be z(1). Suppose -2*m**3 + u - 2*m + 9*m**3 - 5*m**3 + 4*m**2 - 12 = 0. Calculate m.
-2, -1, 1
Let z = 19 - 17. Let j be 5 + 0 + -5 + z. Solve -12*g**2 + 7*g**2 + 6*g**j = 0 for g.
0
Let n(j) be the second derivative of j**6/180 - j**5/45 + j**4/36 + 3*j**3 - 7*j. Let b(x) be the second derivative of n(x). Let b(g) = 0. What is g?
1/3, 1
Factor -32 - 637/2*p**3 - 184*p - 378*p**2 - 343/4*p**4.
-(p + 2)*(7*p + 4)**3/4
Factor -666*g**3 - 18*g + 662*g**3 + 2*g - 21*g**2 + 5*g**2.
-4*g*(g + 2)**2
Suppose 4 = -2*u, s - u + 2 = 3*s. Let o be (-2)/4 + (-43)/(-2). What is q in 3*q**s - 15*q + 2*q**2 - 12*q**3 + o*q + 1 = 0?
-1/3, -1/4, 1
Solve -8/7*n**2 + 6/7*n**3 - 2/7*n + 4/7 = 0.
-2/3, 1
Factor 17/6*o + 8/3*o**2 + 5/6*o**3 + 1.
(o + 1)**2*(5*o + 6)/6
Suppose 3 = -13*d + 42. Let g(x) be the second derivative of 0*x**2 + 5*x + 0*x**4 + 0 + 1/50*x**5 - 1/15*x**d. Find c, given that g(c) = 0.
-1, 0, 1
Let i(q) = -15*q**4 + 24*q**3 + 17*q**2 - 56*q - 48. Let t(x) = -22*x**4 + 36*x**3 + 26*x**2 - 84*x - 72. Let f(w) = 10*i(w) - 7*t(w). Solve f(j) = 0.
-1, 2, 3
Suppose 72 = -24*t + 60*t. Factor -12/5*p + 12/5 + 9/5*p**3 - 3*p**t.
3*(p - 2)*(p + 1)*(3*p - 2)/5
Let x = 142 + -184. Let n be (-7)/(-36)*3 + (-7)/x. Determine q, given that 1/4*q + n*q**2 + 0 = 0.
-1/3, 0
Let o(w) be the third derivative of w**9/5040 - w**8/1120 - w**7/840 + w**6/120 - 9*w**4/8 + 31*w**2. Let h(n) be the second derivative of o(n). Factor h(c).
3*c*(c - 2)*(c - 1)*(c + 1)
Let r(k) be the third derivative of -k**6/180 + 67*k**5/90 - 272*k**4/9 - 1156*k**3/9 - k**2 + 27*k. Find o such that r(o) = 0.
-1, 34
Suppose -1 = -b - j - 2, 5*b + j = 11. Suppose -4*q - 5*y + 18 = -0*q, -2*y = -3*q + 2. Factor -3/2*z**b + 3/2 + 3/2*z - 3/2*z**q.
-3*(z - 1)*(z + 1)**2/2
Let t(c) be the first derivative of 3*c**5/25 - 96*c**4/5 + 4222*c**3/5 - 12096*c**2/5 + 11907*c/5 + 577. Factor t(y).
3*(y - 63)**2*(y - 1)**2/5
Let v(f) be the third derivative of -f**8/6720 - f**7/560 - f**6/120 - 13*f**5/60 + 18*f**2. Let p(y) be the third derivative of v(y). Factor p(r).
-3*(r + 1)*(r + 2)
Suppose -5 = -7*y + 9. Factor -6*h + h - 4*h**y + 1 - 3 - h**3.
-(h + 1)**2*(h + 2)
Let w(j) be the third derivative of -j**8/147 + 2*j**7/105 + 23*j**6/105 - 37*j**5/105 - 2*j**4/7 + 601*j**2. Solve w(n) = 0.
-3, -1/4, 0, 1, 4
Let a(l) be the second derivative of 3*l**5/20 - l**4/12 - l**3/6 + l**2/2 + l. Let n be a(1). Factor -n*i**3 + i**2 - i + 4*i**2 - i - i**2.
-2*i*(i - 1)**2
Let t(h) be the second derivative of -h**7/210 + h**6/120 + h**5/60 - h**4/24 - 9*h**2/2 - 4*h. Let x(c) be the first derivative of t(c). Factor x(n).
-n*(n - 1)**2*(n + 1)
Let f(k) be the first derivative of 4*k**3/3 - 6*k**2 - 16*k - 34. Determine d so that f(d) = 0.
-1, 4
Let b(s) be the first derivative of -4*s**3/3 - 40*s**2 + 176*s + 213. Factor b(c).
-4*(c - 2)*(c + 22)
Let l(o) be the first derivative of -4*o**5/5 + 32*o**3/3 - 64*o + 142. Let l(m) = 0. What is m?
-2, 2
Let j(p) be the second derivative of -1/2*p**5 + 5/42*p**7 - 7*p - 5*p**2 + 5/6*p**3 + 0 - 1/3*p**6 + 5/3*p**4. Suppose j(f) = 0. What is f?
-1, 1, 2
Suppose 3*z = 45 + 3. Let h be (-4)/z*0 - -2. Factor -6 - y**h + 3 + 5 - 4*y + 3*y**2.
2*(y - 1)**2
Let q be (-12)/5*(-40)/16. Factor -2*i**4 + 4*i**2 + 0*i**4 - q*i**3 + 8*i**3.
-2*i**2*(i - 2)*(i + 1)
Let s(g) be the second derivative of g**7/42 - g**6/10 - 3*g**5/10 + 5*g**4/6 + 7*g**3/2 + 9*g**2/2 + 9*g + 1. Let s(o) = 0. Calculate o.
-1, 3
Let f(m) = 4*m**3 - 32*m**2 + 20*m + 203. Let r(a) = -8*a**3 + 64*a**2 - 40*a - 405. Let c(b) = -5*f(b) - 3*r(b). Factor c(p).
4*(p - 5)**2*(p + 2)
Let y(g) be the first derivative of 70*g**3/9 + 4*g**2/3 - 8*g/3 - 72. Find a such that y(a) = 0.
-2/5, 2/7
Let l(b) be the first derivative of -5*b**6/6 + 11*b**5 - 215*b**4/4 + 365*b**3/3 - 140*b**2 + 80*b + 269. Factor l(h).
-5*(h - 4)**2*(h - 1)**3
Let b be 10*(-21)/(-560)*8/6. Let w(g) be the first derivative of 0*g**2 + b*g**4 - 4/9*g**3 - 1/9*g**6 + 0*g**5 + 13 + 0*g. Factor w(p).
-2*p**2*(p - 1)**2*(p + 2)/3
Let y(k) be the second derivative of -3*k**5/20 + 3*k**4/4 + k**3/2 - 9*k**2/2 + 3*k + 7. Let y(f) = 0. Calculate f.
-1, 1, 3
Let u be ((-6)/10)/((-34)/(-35) + -1). Let f be 27/u*14/8. Factor 1/2 + r**2 - f*r.
(r - 2)*(4*r - 1)/4
Factor 2/17*c**3 + 16/17*c**2 + 22/17*c - 40/17.
2*(c - 1)*(c + 4)*(c + 5)/17
Let j = -29 +