*v.
-2*(v - 17)**2*(v - 6)**3
Let o = 282357/4 - 70587. Factor 6*i + 13/4*i**2 + o + 1/2*i**3.
(i + 3)**2*(2*i + 1)/4
Let h(t) be the second derivative of -t**4/6 - 938*t**3 - 1979649*t**2 - 2477*t. Factor h(y).
-2*(y + 1407)**2
Let o(g) = -2*g**2 + 416*g + 912. Let c(h) = 3*h**2 - 406*h - 914. Let y(v) = -8*c(v) - 10*o(v). Factor y(k).
-4*(k + 2)*(k + 226)
Let l(o) be the first derivative of -o**5/15 + 11*o**4/12 + 7*o**3/9 - 83*o**2/6 + 22*o + 1203. Find n, given that l(n) = 0.
-3, 1, 2, 11
Let u = 161269/12 + -13439. Let f(r) be the second derivative of 23*r + 0*r**3 + 0*r**2 - u*r**4 + 0 + 1/20*r**5. Find c such that f(c) = 0.
0, 1
Suppose 693 + 567 = -6*y. Let i = 215 + y. Solve 4/15*o**3 + 0*o**2 - 2/15*o**i + 0 + 0*o**4 - 2/15*o = 0.
-1, 0, 1
Find j, given that -997*j**5 + 2170*j**3 - 972*j - 1473*j - 321 + 952*j**5 - 129 - 210*j**4 - 2540*j**2 = 0.
-10, -1/3, 3
Suppose 1482 = 6*o + 1470. Let -2/3*v**o + 14/3*v - 8 = 0. Calculate v.
3, 4
Let h be (90 + -87 - (-34)/6) + -8. Suppose -2*t = 1 - 5. Factor t + h*g**2 + 8/3*g.
2*(g + 1)*(g + 3)/3
What is g in -131/3*g**2 + 1/3*g**4 + 0 + 64/3*g**3 + 22*g = 0?
-66, 0, 1
Let m(w) = -9*w**3 - 2*w - 2. Let b be m(-1). Let d be ((-30)/8)/(b/(-36)). Determine o so that 9*o**2 - d*o**3 + 10*o**2 + 15*o - 4 + 8*o**2 - 21*o**4 - 2 = 0.
-1, 2/7, 1
Let k(m) be the third derivative of 2*m**5/105 + 5*m**4/28 - 4*m**3/21 + 4*m**2 - 25*m - 3. Factor k(l).
2*(l + 4)*(4*l - 1)/7
Let i(t) be the second derivative of -t**7/945 - 4*t**6/135 + 7*t**5/54 - t**4/6 - 16*t**2 + 13*t. Let b(d) be the first derivative of i(d). Factor b(z).
-2*z*(z - 1)**2*(z + 18)/9
Let a(n) be the first derivative of -72*n + 113 + 47*n**4 + 148/3*n**3 - 150*n**2 + 36/5*n**5. Determine l, given that a(l) = 0.
-3, -2/9, 1
Let x = 611037/5 + -122205. Suppose 0 + x*y**4 - 12/5*y + 39/5*y**3 - 39/5*y**2 = 0. Calculate y.
-4, -1/4, 0, 1
Suppose 198*x - 54940 + 51574 = 0. Factor 0 + 1/2*k**3 + x*k**2 + 0*k.
k**2*(k + 34)/2
Let u(z) = -z**3 - 22*z**2 + 99*z - 118. Let j be u(-26). Let v(t) be the third derivative of -5/3*t**4 - 40/3*t**3 + 0*t - 1/12*t**5 + 0 - j*t**2. Factor v(x).
-5*(x + 4)**2
Suppose -19*a - 16 + 40*a - 9*a**3 + 74*a - 247*a**2 - 226*a**2 + 335*a**2 = 0. Calculate a.
-16, 1/3
Let j(f) be the second derivative of 3375*f**7/14 + 9315*f**6/2 - 5643*f**5/4 + 629*f**4/4 - 7*f**3 - 428*f. Factor j(v).
3*v*(v + 14)*(15*v - 1)**3
Let 20/3*c**3 + 1/3*c**4 + 68/3*c - 23/3 - 22*c**2 = 0. What is c?
-23, 1
Let m be 392*130/14560*(-1)/(14/(-8)). Solve 3/5*a**m + 2/5*a + 0 = 0 for a.
-2/3, 0
Let q(i) be the third derivative of i**7/630 + 14*i**6/45 + 29*i**5/12 + 9*i**4/2 - 11183*i**2. Factor q(c).
c*(c + 1)*(c + 3)*(c + 108)/3
Let t(i) be the third derivative of -i**7/63 + 61*i**6/90 + 347*i**5/90 + 28*i**4/9 - 12*i**3 - i**2 - 464*i. Determine v, given that t(v) = 0.
-2, -1, 2/5, 27
Let q(n) be the third derivative of n**5/30 - 9*n**4/2 + 161*n**2 - n. Find y such that q(y) = 0.
0, 54
Let h(g) = -g**2 + 21*g - 34. Let d(l) = -4*l**2 + 85*l - 136. Let a(j) = -24*j - 70. Let q be a(-3). Let z(b) = q*d(b) - 9*h(b). Suppose z(i) = 0. Calculate i.
2, 17
Let g(q) be the third derivative of 0*q + 0*q**3 - 1/540*q**6 - 223*q**2 - 1/54*q**4 + 0 + 1/90*q**5. Factor g(a).
-2*a*(a - 2)*(a - 1)/9
Let c(r) be the third derivative of r**7/105 - 17*r**6/12 + 14*r**5/5 - 394*r**2. Factor c(y).
2*y**2*(y - 84)*(y - 1)
Suppose -4*y = -12, 5*j + 4 = 2*y + 18. Let f be (-3)/j + 483/84 + -5. Factor 12/7*u**3 + 20/7*u**2 + 8/7*u + f.
4*u*(u + 1)*(3*u + 2)/7
Suppose j = -2*k - 4, 1 = 7*k + 4*j - 2*j. Factor -3/4*i**k + 0 + 3/8*i**4 + 3/4*i - 3/8*i**2.
3*i*(i - 2)*(i - 1)*(i + 1)/8
Let 112/3*j**3 + 2*j**4 + 382/3*j**2 + 0 - 140/3*j = 0. What is j?
-14, -5, 0, 1/3
Let w(c) = -39*c**2 + 2*c. Let d(t) = 40*t**2 + 518*t + 1036. Let m(u) = 5*d(u) + 5*w(u). Factor m(n).
5*(n + 2)*(n + 518)
Let w(r) be the third derivative of r**5/270 - 301*r**4/108 + 1173*r**2. What is q in w(q) = 0?
0, 301
Let q(z) be the second derivative of 7*z**4/60 - 38*z**3/15 + 117*z**2/10 + 4*z - 144. Factor q(c).
(c - 9)*(7*c - 13)/5
Let f(i) = -2*i**3 - 12*i**2 + 12*i - 3. Let d be f(-7). Factor 20*y + d*y**3 - 3*y**3 - 4*y**3 + 0*y**3 + 24*y**2.
4*y*(y + 1)*(y + 5)
Let u(a) = -16*a**4 - 69*a**3 - 266*a**2 - 216*a - 7. Let l(r) = 11*r**4 + 45*r**3 + 178*r**2 + 144*r + 5. Let c(f) = 7*l(f) + 5*u(f). Factor c(g).
-3*g*(g + 2)**2*(g + 6)
Find o such that 64*o - 10849*o**3 + 3657*o**3 + 3756*o**3 - 20*o**4 - 232*o**2 + 3624*o**3 = 0.
0, 2/5, 1, 8
Let f(i) be the first derivative of -3*i**5/5 - 27*i**4/2 - 61*i**3 + 270*i**2 - 300*i - 1471. Factor f(c).
-3*(c - 1)**2*(c + 10)**2
Suppose -12*b**5 + 253 + 308*b - 292*b**3 - 128*b**4 + 86*b**5 - 64*b**5 - 68*b**2 - 26*b**5 - 57 = 0. What is b?
-7/2, -1, 1
Let k(f) = 64*f**2 - 40*f - 82. Let x = 377 + -333. Let m(n) = 3*n**2 + n - 1. Let i(r) = x*m(r) - 2*k(r). Factor i(b).
4*(b + 1)*(b + 30)
Let j = -10409 - -52047/5. Let h(i) be the first derivative of 16*i + j*i**5 - 4*i**3 - 3 + 1/2*i**4 - 4*i**2. Determine q so that h(q) = 0.
-2, 1, 2
Let k(a) be the second derivative of -a**8/4200 + a**6/300 + a**5/150 - 19*a**3/6 - 36*a. Let v(o) be the second derivative of k(o). Solve v(t) = 0.
-1, 0, 2
Let d(y) be the first derivative of -4*y**5/5 + 18*y**4 - 208*y**3/3 - 720*y**2 + 3200*y + 207. Factor d(u).
-4*(u - 10)**2*(u - 2)*(u + 4)
Factor 0 + 2/5*f**3 - 8/5*f**2 - 2*f.
2*f*(f - 5)*(f + 1)/5
Let i(w) be the third derivative of -w**6/600 + 7*w**5/300 - 11*w**4/120 + w**3/6 - 997*w**2. Determine f, given that i(f) = 0.
1, 5
Let l(j) be the second derivative of j**5/4 + 1265*j**4/12 - 12223*j. Solve l(g) = 0.
-253, 0
Let f be (134/2345)/((3/30*-2)/(-3)). Factor -13/7*g**2 - f*g - 8/7*g**3 + 0 - 1/7*g**4.
-g*(g + 1)**2*(g + 6)/7
Let o(t) = -40*t**4 + 1279*t**3 - 1527*t**2 + 299*t - 11. Let w(a) = 20*a**4 - 639*a**3 + 762*a**2 - 149*a + 6. Let f(z) = -6*o(z) - 11*w(z). Factor f(v).
5*v*(v - 31)*(v - 1)*(4*v - 1)
Let p(a) = a**2 - 7. Suppose 8 = f + 11. Let u be p(f). What is s in -1/11*s**u + 0 - 3/11*s + 1/11*s**4 + 3/11*s**3 = 0?
-3, -1, 0, 1
Let v(q) = -q**4 - 19*q**3 - 18*q**2 - 12*q. Let u(k) = 2*k**3 + 3*k. Let l(h) = -12*u(h) - 3*v(h). Factor l(t).
3*t**2*(t + 2)*(t + 9)
Let s be -11*9/(-891)*(2 - 0). Let v(k) be the third derivative of 0*k - 15*k**2 + 5/18*k**4 + 0 - s*k**3 - 1/20*k**5. Suppose v(i) = 0. Calculate i.
2/9, 2
Let b(o) be the third derivative of -o**6/600 - 113*o**5/300 - 37*o**4/20 - 3748*o**2. Factor b(y).
-y*(y + 2)*(y + 111)/5
Factor 25*d**4 - 276*d + 3*d**5 + 111*d**3 + 26*d - 61*d**4 - 350*d + 90*d**2.
3*d*(d - 5)**2*(d - 4)*(d + 2)
Let h(m) be the first derivative of m**3 + 3*m**2/2 - 36*m - 2940. What is i in h(i) = 0?
-4, 3
Let h(n) = n**2 + 16*n + 10. Let v be h(-19). Let q = v + -65. Factor -4*c**3 + 22*c - 22*c - 4*c**2 - 2*c**4 + 2*c**q.
-2*c**2*(c + 1)**2
Let p = 352/3281 + 2/193. Let t = -159201 + 2706423/17. Factor 8/17 - p*h**2 - t*h.
-2*(h - 1)*(h + 4)/17
Suppose -2*p - 13*p + 0*p = 0. Let d(u) be the first derivative of 5/4*u**4 + p*u**3 - 5/2*u**2 - 19 + 0*u. Find s such that d(s) = 0.
-1, 0, 1
Let k = 171 - 169. Let 4*x**3 + 7*x**k - 3*x**2 - 2*x**4 + 3*x**4 = 0. Calculate x.
-2, 0
Let k(r) be the second derivative of -r**7/1680 - r**6/120 + 2*r**4/3 - r**3 + r + 51. Let h(f) be the second derivative of k(f). Factor h(j).
-(j - 2)*(j + 4)**2/2
Suppose 0 = 4*d - 4*a + 16, 2*a - 8 = -3*d + 7*d. Suppose 3*b - 5 - 1 = d. Let 6*q - 20*q + 10 - 6*q**2 + b = 0. Calculate q.
-3, 2/3
Let j be 6 - (75/(-10) + 8)*8. Let h(m) be the second derivative of -j*m**2 + 0 + 5*m + 4/9*m**3 + 1/9*m**4. Find d, given that h(d) = 0.
-3, 1
Suppose -80*r**2 - 2*r**5 - 126113*r**4 - 4*r**3 + 252251*r**4 - 126124*r**4 = 0. What is r?
-2, 0, 4, 5
Suppose 2 = 2*d, 6*d - 2*d - 10 = -2*f. Suppose 3*x = 3*m + 18, -2*x + 0*m - 4 = 2*m. Factor -q**2 + q**2 - q**2 + f*q + 2*q**x.
q*(q + 3)
Suppose 0 = a, 0 = 2*t - 5*a + a - 22. Suppose t*h = 3*h. Determine r so that h*r**3 + 12*r + 3*r**4 - 427*r**5 - 15*r**3 + 12 - 15*r**2 + 430*r**5 = 0.
-2, -1, 1, 2
Let u = 3/98 - -145/1666. Let l be 8/28 + (-806)/(-217). Find n, given that -2/17*n**l + u*n + 0 + 2/17*n**2 - 2/17*n**3 = 0.
-1, 0, 1
Let i = -69 - -135. Let y = -63 + i. Factor 124*x**2 - 2