 = -2284*f + 40. Factor 15/2*b**f + 3*b + 3/2*b**3 - 12.
3*(b - 1)*(b + 2)*(b + 4)/2
Suppose 153 - 213 = -15*n. Let r(w) = -w**3 - 5*w**2. Let c be r(-5). Factor c + 3/7*u + 9/7*u**2 + 9/7*u**3 + 3/7*u**n.
3*u*(u + 1)**3/7
Let m(o) be the second derivative of 3*o**5/20 + 15*o**4/4 - 29*o**3 - 108*o**2 - 425*o. Let m(x) = 0. What is x?
-18, -1, 4
Determine l, given that 3/7*l**2 + 165/7 - 24*l = 0.
1, 55
Let s(o) be the first derivative of o**6/180 - o**5/60 - o**4/2 - 4*o**3 + 32. Let h(z) be the third derivative of s(z). Factor h(w).
2*(w - 3)*(w + 2)
Solve -17*i**2 - 18*i**2 + 22 - 14 + 33*i**2 = 0 for i.
-2, 2
Suppose -2*c - 3 - 1/4*c**2 = 0. What is c?
-6, -2
Suppose -8*b + 9*b = 4. Let s(d) = 3*d**2 + d + 2. Let g = 4 - -3. Let x(f) = -5*f**2 - 2*f - 4. Let y(m) = b*x(m) + g*s(m). Factor y(w).
(w - 2)*(w + 1)
Let u(i) be the second derivative of -i**8/33600 + i**7/1260 - i**6/144 - i**4/3 - 3*i**2/2 - 47*i. Let p(z) be the third derivative of u(z). Factor p(k).
-k*(k - 5)**2/5
Suppose 530*j = 520*j + 50. Let t(r) be the second derivative of 0 + 3*r + 0*r**3 - 1/80*r**j + 0*r**2 - 1/24*r**4. Solve t(n) = 0 for n.
-2, 0
Let m(x) be the second derivative of -10/9*x**4 - 4*x**3 - 16/3*x**2 - 1/10*x**5 + 0 - 12*x. Factor m(v).
-2*(v + 2)*(v + 4)*(3*v + 2)/3
Factor 5*d**4 + 41*d**5 + 19*d**3 + d**4 - 44*d**5 - 10*d**3.
-3*d**3*(d - 3)*(d + 1)
Let z(i) be the third derivative of -2*i**7/105 - 13*i**6/10 - 249*i**2. Suppose z(s) = 0. Calculate s.
-39, 0
Let f(o) be the second derivative of -1/12*o**4 + 0*o**2 - 1/6*o**3 + 2*o + 0 - 1/80*o**5. Factor f(t).
-t*(t + 2)**2/4
Let q(l) = -4*l**2 + 64*l - 66. Let w(b) = -36*b**2 + 576*b - 596. Let f(j) = 28*q(j) - 3*w(j). Factor f(x).
-4*(x - 15)*(x - 1)
Suppose -4*y**2 - 4/5*y**3 + 84/5 + 68/5*y = 0. Calculate y.
-7, -1, 3
Factor 3/5*q**3 + 1/10*q**4 + 0 - q + 3/10*q**2.
q*(q - 1)*(q + 2)*(q + 5)/10
Suppose v - 1208 = -5*i, 4*i = v + v - 2346. Factor -1183*n**3 + 12*n**4 + 4*n**5 + v*n**3 - 16*n**2.
4*n**2*(n - 1)*(n + 2)**2
Let z(j) be the second derivative of 1/42*j**4 + 0*j**2 - 2/21*j**3 - 2*j + 0. Suppose z(l) = 0. Calculate l.
0, 2
Let d(w) be the third derivative of 1/30*w**5 + 5*w**2 + 0 + 0*w**3 - 1/60*w**6 + 0*w + 0*w**4. Find s, given that d(s) = 0.
0, 1
Let m(d) = -d**3 + d**2 - 1. Let s(q) be the second derivative of q**5/5 + q**4/6 - 5*q**3/2 + 7*q**2 - q. Let t(i) = 5*m(i) + s(i). Factor t(z).
-(z - 3)**2*(z - 1)
Let z(s) be the first derivative of 0*s**2 - 1 + 0*s + 1/15*s**3 - 1/20*s**4. Factor z(q).
-q**2*(q - 1)/5
Let c(z) be the third derivative of -16*z**7/315 - 10*z**6/9 - 89*z**5/90 + 83*z**4/36 - 4*z**3/3 - z**2 + 56. Suppose c(d) = 0. Calculate d.
-12, -1, 1/4
Let k(b) = b**2 + 18*b + 34. Let t be k(-16). Factor 8*h + 4*h**2 + 10*h**t - 6 - 16*h**2.
-2*(h - 3)*(h - 1)
Suppose -1363 = 22*f - 1363. Factor 2/15*o**2 + f*o + 0.
2*o**2/15
Let f(w) be the third derivative of -11/360*w**6 + 0 + 0*w + 1/90*w**5 + 1/105*w**7 + 1/6*w**4 - 7*w**2 - 1/1008*w**8 - 4/9*w**3. Determine n so that f(n) = 0.
-1, 1, 2
Suppose 0 = -19*d - 28 + 85. Let j(s) be the first derivative of 3/8*s**2 - 3/2*s + d + 1/4*s**3. Determine b, given that j(b) = 0.
-2, 1
Let o(h) be the second derivative of -h**5/45 + 13*h**4/54 - 8*h**3/9 + h**2 + 2*h + 10. Suppose o(b) = 0. What is b?
1/2, 3
Let y(t) be the first derivative of -2*t**6/3 - 48*t**5/5 + 27*t**4 - 56*t**3/3 + 427. Find m such that y(m) = 0.
-14, 0, 1
Let w(n) be the third derivative of -1 + 0*n**4 - 1/2352*n**8 + 1/735*n**7 + 0*n**5 + 0*n**3 + 1/280*n**6 - 15*n**2 + 0*n. Factor w(r).
-r**3*(r - 3)*(r + 1)/7
Let v be ((-1)/2)/(5/(-180)*9). Factor 5/2*r + 1/2*r**v + 3.
(r + 2)*(r + 3)/2
What is d in 6*d**2 + 2*d + 0*d**4 - 4*d**4 + 3*d + 2*d**4 - 9*d = 0?
-2, 0, 1
Let a(h) be the third derivative of 0*h**3 + 0*h + 0*h**4 - 1/120*h**5 - 1/240*h**6 + 0 - 5*h**2. Factor a(o).
-o**2*(o + 1)/2
Let x = 29 - 27. Find h such that x*h**4 + 9 - h**4 - 2*h**2 - 6 - 2 = 0.
-1, 1
Let y be -55*((0 - 1) + -1 + 1). Factor 5 - 2*a**2 + 5 + 28*a - 53 - y.
-2*(a - 7)**2
Let s(u) be the third derivative of -u**5/210 - 19*u**4/12 + 134*u**3/21 + u**2 - 315*u. Solve s(x) = 0 for x.
-134, 1
Let t(a) be the first derivative of 5*a**6/6 - 20*a**5 + 385*a**4/4 + 1210*a**3/3 + 202. Factor t(k).
5*k**2*(k - 11)**2*(k + 2)
Let t(f) be the third derivative of -f**9/68040 + f**7/7560 + f**6/3240 + 11*f**5/30 + 13*f**2. Let c(x) be the third derivative of t(x). Solve c(b) = 0.
-1/2, 1
Let o be ((-13)/26)/(2/(-20)). Determine g, given that 19*g**3 - 5*g**3 - o*g**4 + 5*g + g**3 - 12*g**2 - 3*g**2 = 0.
0, 1
Let c(q) be the second derivative of 15*q + 0 - 7/3*q**4 + 0*q**2 + q**3 + 4/15*q**6 + 7/10*q**5. Factor c(k).
2*k*(k - 1)*(k + 3)*(4*k - 1)
Let p(m) = 2*m**4 - m**3 - 10*m**2 - m + 6. Let t(a) = a**2 - 1. Let c(h) = h**2 - 8*h + 8. Let y be c(7). Let s(x) = y*p(x) + 4*t(x). Factor s(j).
(j - 2)*(j + 1)**2*(2*j - 1)
Let x be -5 + 1*(5 - 3). Let q(j) = -3*j**2 + 5*j + 4. Let b(v) = -3*v**2 + 6*v + 3. Let z = 2 + 0. Let u(n) = x*q(n) + z*b(n). Let u(h) = 0. What is h?
-1, 2
Solve -7*x + 5*x - 17*x + 72 + 12*x - 23*x - 3*x**2 = 0.
-12, 2
Let r be (1/6)/(18/(-240)*-10). Solve 0 - 2/9*k**2 + 2/9*k**3 - r*k + 2/9*k**4 = 0.
-1, 0, 1
Let s be -6*(-1 + 1/3). Let b = s - 0. Determine f so that 0*f**2 - 3*f**3 + 3*f - b*f + 5*f**2 - f = 0.
0, 2/3, 1
Suppose -15/2*m - 69/8*m**4 + 21/8*m**5 + 3/2 + 57/8*m**2 + 39/8*m**3 = 0. Calculate m.
-1, 2/7, 1, 2
Let f(c) be the second derivative of -1/6*c**4 + 0 - 1/120*c**6 + 1/15*c**5 + 2*c + 0*c**3 + 5/2*c**2. Let h(z) be the first derivative of f(z). Factor h(i).
-i*(i - 2)**2
Suppose 4*g - 31 = -4*j + 3*g, -3*j = 4*g - 33. Suppose 12*m - 20 = j*m. Factor -m*f**2 - 2/3 + 11/3*f - 3*f**3.
-(f + 2)*(3*f - 1)**2/3
Let b(y) be the third derivative of 0 + y**2 - 1/60*y**5 + 0*y + 1/24*y**4 + 0*y**3. Factor b(l).
-l*(l - 1)
Let o(k) be the second derivative of 9*k + 3*k**2 - 4/3*k**3 + 1/6*k**4 + 0. Factor o(p).
2*(p - 3)*(p - 1)
Let i(d) be the second derivative of d**7/420 + d**6/120 + d**5/120 + 2*d**2 - 3*d. Let j(g) be the first derivative of i(g). Factor j(u).
u**2*(u + 1)**2/2
Let i(h) be the first derivative of h**6/36 - h**5/6 + h**4/8 + 5*h**3/18 - h**2/3 - 22. Solve i(o) = 0.
-1, 0, 1, 4
Let m(z) be the first derivative of -7 - 1/2*z**3 + 9/2*z + 3/2*z**2. Factor m(o).
-3*(o - 3)*(o + 1)/2
Let y be 1/((1/(-3))/(2/(-18))). Let n(b) be the second derivative of -y*b**4 + 0*b**3 - 3*b + 9/10*b**5 - 2/3*b**6 + 0*b**2 + 0. Factor n(a).
-2*a**2*(2*a - 1)*(5*a - 2)
Find w such that -40*w**3 - 22*w**4 + 56*w**2 - 20*w**3 + 6*w**4 + 48*w - 20*w**4 - 32 = 0.
-2, -1, 2/3
Let g(q) be the first derivative of -8/3*q**3 - 5 + 0*q**2 + q**4 + 0*q. Suppose g(p) = 0. Calculate p.
0, 2
Let g(b) be the second derivative of -23*b + 2/3*b**6 - 5*b**2 + 0 - 5/6*b**4 + 25/6*b**3 - b**5 - 5/42*b**7. Factor g(q).
-5*(q - 2)*(q - 1)**3*(q + 1)
Let h(d) = 7*d**3 - 49*d**2 + 378*d - 648. Let b(c) = -c**3 + 8*c**2 - 63*c + 108. Let n(s) = 39*b(s) + 6*h(s). Find r such that n(r) = 0.
-12, 3
Let l(j) be the third derivative of -j**8/168 - 2*j**7/21 - 2*j**6/5 - 11*j**5/15 - 7*j**4/12 + j**2 + 23*j. Factor l(k).
-2*k*(k + 1)**3*(k + 7)
Let w(u) be the third derivative of u**6/300 + 11*u**5/50 + 31*u**4/30 + 318*u**2. Factor w(d).
2*d*(d + 2)*(d + 31)/5
Let a = 1995/11 + -544/3. Let p(y) be the second derivative of 0*y**2 + 0 - a*y**4 + 7*y + 1/33*y**3 + 1/110*y**5. Factor p(j).
2*j*(j - 1)**2/11
Let d = -31 - -157/5. Let r = -45 + 227/5. Factor 0 + d*s - 2/5*s**3 + r*s**4 - 2/5*s**2.
2*s*(s - 1)**2*(s + 1)/5
Let q = -147 - -154. Let i(r) be the third derivative of 1/240*r**6 + 2*r**2 + 0*r + 0*r**4 + 0*r**3 + 0 + 1/840*r**q + 0*r**5. Solve i(d) = 0.
-2, 0
Let i = 3125/808 - 378/101. Suppose 1/8*q**4 - 9/8*q**2 - i*q**3 - 11/8*q - 1/2 = 0. What is q?
-1, 4
Let v(q) be the first derivative of -q**4/16 + 7*q**3/12 - 2*q**2 + 3*q + 166. Factor v(l).
-(l - 3)*(l - 2)**2/4
Factor -9*p**3 + 5*p - 2*p - 6 + 6*p**3 + 6*p**2.
-3*(p - 2)*(p - 1)*(p + 1)
What is m in -6/5*m**3 + 0 - 2/5*m**4 + 0*m - 4/5*m**2 = 0?
-2, -1, 0
Let r(n) be the third derivative of -n**7/140 + 53*n**6/320 + 51*n**5/160 - 2*n**4 + 7*n**3/4 + 248*n**2. Solve r(s) = 0 for s.
-2, 1/4, 1, 14
Let u(d) = 16*d**3 + 91