. Factor r(w).
2*w*(w - 2)*(w - 1)*(w + 1)/7
Factor -3/7*v**2 - 119 + 1/7*v**3 - 27*v.
(v - 17)*(v + 7)**2/7
Let j(g) be the second derivative of g**7/42 + g**6/10 + 3*g**5/20 + g**4/12 - 2*g + 14. Suppose j(l) = 0. What is l?
-1, 0
Let z(v) = v**2 + 15*v - 17. Let o be z(-16). Let l be (3 + (-125)/45)/(o/(-3)). Find g such that 0 + 2/3*g**2 + l*g = 0.
-1, 0
Let c be -1*(-6)/4*-2 + (-612)/(-132). Suppose -4*s + 9 = -s. Factor -28/11*x**s + 12/11*x**4 - 2/11*x**5 + 4/11 - c*x + 32/11*x**2.
-2*(x - 2)*(x - 1)**4/11
Suppose -49 = -4*n - 9. Factor n*k**2 + 0*k**2 - 9*k**3 - 9*k**3 + 12*k**4 - 3*k**5 + 2*k**2 - 3*k.
-3*k*(k - 1)**4
Let o(w) be the third derivative of w**5/60 + w**4/30 - w**3/30 - 46*w**2. Factor o(x).
(x + 1)*(5*x - 1)/5
Let c be 6/(-18) - (-30)/27. Let n(h) be the second derivative of 10*h + 0 - h**2 - 1/30*h**5 - c*h**3 - 5/18*h**4. Determine d, given that n(d) = 0.
-3, -1
Let s(c) be the third derivative of -7*c**6/360 - 23*c**5/360 - c**4/48 + 248*c**2. Factor s(k).
-k*(2*k + 3)*(7*k + 1)/6
Let f(s) be the first derivative of -s**3/4 - 9*s**2/4 - 650. Solve f(q) = 0 for q.
-6, 0
Suppose -221 + 718 = 214*v - 145. Factor 2/11*c**v - 2/11*c - 20/11 + 20/11*c**2.
2*(c - 1)*(c + 1)*(c + 10)/11
What is c in 42*c**2 - 28*c - 12*c**2 - 4*c**3 + 2*c**2 = 0?
0, 1, 7
Let a(v) be the first derivative of v**6/30 - 3*v**5/25 - v**4/2 - 2*v**3/15 + 9*v**2/10 + v + 64. Factor a(h).
(h - 5)*(h - 1)*(h + 1)**3/5
Factor -95*q**2 - 16 - 62 - q**3 + 87*q**2 + 59*q.
-(q - 3)*(q - 2)*(q + 13)
Let z(p) = -100*p**3 + 3*p + 3. Let r be z(-1). Let c = r + -98. Solve -8*y**3 + 0 - 4/3*y - 10/3*y**4 - 6*y**c = 0 for y.
-1, -2/5, 0
Let s(k) be the third derivative of k**5/60 + k**3/6 + 2*k**2. Let j(a) = -3*a**2 - 4. Let u = -7 + 19. Let y(h) = u*s(h) + 3*j(h). Factor y(t).
3*t**2
Suppose -o + 3*o = 60. Let a = o - 28. Determine r so that 3 - 7*r + 8*r + 8*r + 3*r**3 + 9*r**a = 0.
-1
Suppose -14*i = -18*i + 3*l + 16, l + 16 = 4*i. Let g(u) be the third derivative of 0*u - 4/9*u**3 + 1/30*u**5 + 5*u**2 + 1/180*u**6 + 0*u**i + 0. Factor g(v).
2*(v - 1)*(v + 2)**2/3
Find r such that 4/5*r**4 + 0*r - 4/5*r**2 + 0*r**3 + 0 = 0.
-1, 0, 1
Let j be (-2 - -2)*(-13)/(-26). Let d(s) be the first derivative of -3/5*s**5 - 3/2*s**4 + 6 + 3*s**2 + 3*s + j*s**3. Find i such that d(i) = 0.
-1, 1
Let p(t) be the third derivative of -t**7/840 + 7*t**6/240 - t**5/10 + 140*t**2. Let p(g) = 0. Calculate g.
0, 2, 12
Suppose l - 4*u - 14 - 19 = 0, 5*l - 2*u = 201. Factor l + 20 + s**2 - 12 + 0*s**2 + 14*s.
(s + 7)**2
Suppose -5*h = x - 9*h - 48, 3 = h. Factor -11*i**2 - 105*i**3 - 35*i**4 + i**2 + x*i**3.
-5*i**2*(i + 1)*(7*i + 2)
Factor -2*t**3 + 4 + 21*t**2 + 82*t - 7*t**2 + 62.
-2*(t - 11)*(t + 1)*(t + 3)
Suppose -6*b + 2*u = -b - 23, 5*b = u + 24. Factor -33*g**3 + 36*g - 5*g**2 - 6*g**5 - 18*g**4 + 24 - 5*g**2 + 4*g**2 + 3*g**b.
-3*(g - 1)*(g + 1)*(g + 2)**3
Let i be 60/24 - (-10)/(-5). Let -1 + 1/2*h**2 - i*h = 0. Calculate h.
-1, 2
Let o(c) = 19*c**2 - 11*c - 16 + 13*c**2 - 33*c**2. Let a be o(-9). Factor -2/3*v**a + 0 + 0*v - 10/3*v**3 - 8/3*v**4.
-2*v**2*(v + 1)*(4*v + 1)/3
Let r(z) be the first derivative of 2*z**7/105 + 2*z**6/15 + z**5/3 + z**4/3 - 15*z**2/2 + 9. Let k(n) be the second derivative of r(n). Factor k(a).
4*a*(a + 1)**2*(a + 2)
Suppose -48 = -t - 15*t. Let o(f) be the second derivative of -1/6*f**t - 1/36*f**4 + 0 - 1/3*f**2 + f. Factor o(m).
-(m + 1)*(m + 2)/3
Let x(a) be the third derivative of 1/60*a**5 + 1/24*a**4 + 0*a**3 + 0*a + 3*a**2 + 0. Determine v, given that x(v) = 0.
-1, 0
Let r(g) be the first derivative of -g**6/6 + 6*g**5/5 - 7*g**4/2 + 16*g**3/3 - 9*g**2/2 + 2*g + 239. Factor r(j).
-(j - 2)*(j - 1)**4
Let b(a) be the second derivative of a**8/33600 - a**7/4200 + a**6/1200 - a**5/600 - 31*a**4/12 - 10*a. Let z(g) be the third derivative of b(g). Factor z(j).
(j - 1)**3/5
Let h(x) be the second derivative of x**6/15 - 6*x**5/5 - 43*x**4/6 - 10*x**3 + 11*x + 21. Determine d, given that h(d) = 0.
-2, -1, 0, 15
Factor -1/3*r**2 + 17/3*r + 0.
-r*(r - 17)/3
Let g(a) be the first derivative of -a**7/420 - a**6/45 - a**5/15 - 5*a**3 + 19. Let q(p) be the third derivative of g(p). Factor q(x).
-2*x*(x + 2)**2
Let r(t) be the first derivative of t**5/25 + 9*t**4/10 + 97*t**3/15 + 72*t**2/5 + 64*t/5 + 29. Solve r(q) = 0 for q.
-8, -1
Suppose a - 1 = 3. Let j be 3/(-12) + 9/a. Find g, given that -5*g**2 + 0*g**2 + 2*g**4 + 3*g**j = 0.
-1, 0, 1
Let a(y) be the third derivative of y**8/84 + 4*y**7/315 - y**6/10 + 2*y**4/9 - 34*y**2. Suppose a(o) = 0. What is o?
-2, -2/3, 0, 1
Let z(y) be the second derivative of -5*y**4/12 - 115*y**3/3 - 2645*y**2/2 + 193*y. Factor z(v).
-5*(v + 23)**2
Let k(q) be the first derivative of -q**7/70 + q**6/10 - 2*q**4 + 8*q**3 - 13*q**2 - 16. Let b(g) be the second derivative of k(g). Let b(d) = 0. What is d?
-2, 2
Let a = 123 + -121. Let u(f) = 9*f**3 - 36*f**2 - 92*f - 54. Let n(z) = 3*z**3 - 12*z**2 - 31*z - 18. Let h(c) = a*u(c) - 7*n(c). Factor h(k).
-3*(k - 6)*(k + 1)**2
Let o = -2590/11 - -236. Let z = o - 13/44. Factor 1/4*p**3 - 1/4*p**2 - 1/4*p + z.
(p - 1)**2*(p + 1)/4
Suppose 12/7 - 6/7*i**5 - 4*i**4 - 4*i**3 + 34/7*i + 16/7*i**2 = 0. Calculate i.
-3, -1, -2/3, 1
Let f be (2/(-45))/(6/(-30)). Let p = -159 + 1433/9. Factor -4/9*s - p*s**2 - f.
-2*(s + 1)**2/9
Let v(g) = 4*g**2 - 51*g - 55. Let o(u) = -u**2 + 17*u + 18. Let k(h) = -21*o(h) - 6*v(h). Find r, given that k(r) = 0.
-16, -1
Suppose -3*g = -6*g + 2*k + 39, -4*g + 66 = 2*k. Factor g*p + 0*p**3 + 5*p**3 - 5 - p**2 - 14*p**2.
5*(p - 1)**3
Let j(a) be the third derivative of -a**2 + 1/72*a**5 + 0 - 1/144*a**6 + 5/72*a**4 + 0*a + 0*a**3. Factor j(v).
-5*v*(v - 2)*(v + 1)/6
Let a(r) be the first derivative of -20/3*r**3 + 15/4*r**4 - 5/6*r**6 + 0*r + 2 - 10*r**2 + 2*r**5. What is h in a(h) = 0?
-1, 0, 2
Let x = 38 + -51. Let f(m) = -3*m - 38. Let t be f(x). Factor q - t - 1/4*q**2.
-(q - 2)**2/4
Let s(v) = 2*v**3 + v**2 - 1. Let r be s(1). Factor 6*n**2 - n**2 - 16*n - 5*n**2 + 4*n**r + 16.
4*(n - 2)**2
Let y(x) be the third derivative of 0*x**4 + 0 + 1/27*x**3 - 7*x**2 + 0*x - 1/270*x**5. Factor y(m).
-2*(m - 1)*(m + 1)/9
Let b(s) be the second derivative of -s**4/48 - s**3/4 - 9*s**2/8 + s + 9. Determine t, given that b(t) = 0.
-3
Let b be (-6)/(-18)*13/((-260)/(-24)). Factor 2/5*p**2 + 0*p - b.
2*(p - 1)*(p + 1)/5
Let m(o) be the first derivative of -1/16*o**4 + 5 + 0*o - 1/40*o**5 + 0*o**2 - 1/24*o**3. Let m(k) = 0. Calculate k.
-1, 0
Let h(y) be the first derivative of y**6/900 - y**5/225 - y**4/60 + y**2 + 4*y + 6. Let o(d) be the second derivative of h(d). Factor o(v).
2*v*(v - 3)*(v + 1)/15
Suppose -15 = -5*p - 2*z + 7*z, -2*z + 22 = 5*p. Suppose -q**2 - 27*q**5 + 28*q**5 - q**3 + 6*q**4 - 5*q**p = 0. Calculate q.
-1, 0, 1
Suppose -10*a + 43 = -87. Factor 27 + 4*r**2 - 2 + r**3 + 15*r - a*r**2.
(r - 5)**2*(r + 1)
Suppose -4*c + s - 2*s = -8, 2*c - s - 10 = 0. Let b be (-6)/(-5)*(-5)/(-2). Solve 3*j + 6*j**c + 0*j - 11*j**3 + 2*j**b = 0.
-1, 0, 1
Let b(q) be the second derivative of q**5/16 + 5*q**4/48 - 5*q**3/24 - 5*q**2/8 - 7*q + 2. Find g, given that b(g) = 0.
-1, 1
Let v(h) be the third derivative of h**6/660 - h**5/165 - h**4/132 + 2*h**3/33 - 211*h**2. Determine q, given that v(q) = 0.
-1, 1, 2
Let o(c) = 4*c**3 + 6*c**2 - 60*c - 72. Let p(s) = -5*s**3 - 3*s**2 + 59*s + 72. Let q(i) = -3*o(i) - 2*p(i). Factor q(w).
-2*(w - 4)*(w + 1)*(w + 9)
Let o = 30/323 - -909/646. Factor 1/2 + o*d**2 - 1/2*d**3 - 3/2*d.
-(d - 1)**3/2
Let k = -17 + 29. Factor -3*a**2 + 13*a + k*a - 35*a + 13*a.
-3*a*(a - 1)
Let y be (-78)/(-12) + 4/(-8). Factor 4 + 7*l - y*l**3 - l - 2*l**3 - 4*l**4 + 2*l.
-4*(l - 1)*(l + 1)**3
Factor 1922 - 8*x**2 - 1930 + 4*x**5 - 23*x + 16*x**3 + 3*x + 16*x**4.
4*(x - 1)*(x + 1)**3*(x + 2)
Let n be 1/(30/20 - (-10)/(-6)). Let o be 275/(-525) - 4/n. Determine c so that -2/7*c**2 - 1/7*c**3 + 0 - o*c = 0.
-1, 0
Let n(j) be the second derivative of j**8/336 + 13*j**7/840 + j**6/90 - j**5/30 - 3*j**3/2 + 5*j. Let x(s) be the second derivative of n(s). Factor x(g).
g*(g + 1)*(g + 2)*(5*g - 2)
Let y(f) be the second derivative of f**7/63 - 2*f**6/45 - f**5/15 + 2*f**4/9 + f**3/9 - 2*f**2/3 - 36*f. Let y(r) = 0. Calculate r.
-1, 1, 2
Suppos