olve -3*v**3 - q*v**3 - 3*v**4 + 0*v**4 - v**3 = 0.
-3, 0
Let i(h) be the first derivative of -h**8/112 - 8*h**7/35 + 48*h**2 + 14. Let s(y) be the second derivative of i(y). Let s(u) = 0. Calculate u.
-16, 0
Let a(k) be the second derivative of -k**4/78 - k**3/3 + 300*k**2/13 - 6*k + 475. Factor a(u).
-2*(u - 12)*(u + 25)/13
Let q(j) = -j**2 + 35*j + 74. Let a = -242 + 279. Let g be q(a). Factor -16/3*w + g - 4/3*w**3 + 16/3*w**2.
-4*w*(w - 2)**2/3
Let s(j) be the second derivative of 5/42*j**7 + 81175/6*j**4 - 187850/3*j**3 + 50/3*j**6 + 98260*j**2 - 3 - 36*j + 3265/4*j**5. Factor s(k).
5*(k - 1)**2*(k + 34)**3
Let k(n) be the first derivative of 95*n + 90 - 5/3*n**3 - 45*n**2. Determine d, given that k(d) = 0.
-19, 1
Let w(f) be the third derivative of 4/245*f**7 + 0*f**3 + 0*f + 1/147*f**8 + 0*f**4 - 5/84*f**5 + 0 - 1/56*f**6 - 50*f**2. Suppose w(k) = 0. What is k?
-5/4, 0, 1
Suppose -236/3*j**3 - 2092/3*j**2 - 3460/3*j + 4/3*j**4 - 536 = 0. Calculate j.
-6, -1, 67
Let l be (2 + (-176)/6)*(-45)/6. Let r = -203 + l. Factor 2/3*d - 2/3*d**r + 0.
-2*d*(d - 1)/3
Let t(d) be the second derivative of 4*d**6/15 + d**5/5 - 2*d**4/3 - 2*d**3/3 + 5*d - 58. Factor t(g).
4*g*(g - 1)*(g + 1)*(2*g + 1)
Let l(v) = -v**2 + v + 61. Let i be l(-7). Let d(u) be the first derivative of -10 - 2*u**3 - u + u**4 + 2*u**2 - 1/5*u**i. What is y in d(y) = 0?
1
Let u(v) be the first derivative of -3*v**5/5 - 18*v**4 + 56*v**3 + 144*v**2 - 624*v + 858. Solve u(i) = 0 for i.
-26, -2, 2
Let u(m) be the second derivative of -4/5*m**4 + 2/5*m**3 - 9 + 0*m**2 + 4*m - 27/100*m**5. Factor u(k).
-3*k*(k + 2)*(9*k - 2)/5
Let r(u) be the first derivative of -5*u**6/6 - 5*u**5 + 5*u**4/2 + 50*u**3/3 - 5*u**2/2 - 25*u + 151. Suppose r(c) = 0. Calculate c.
-5, -1, 1
Let z(s) be the first derivative of 1/180*s**6 + 0*s**2 + 1/2*s**4 - 1/12*s**5 + 0*s + 22/3*s**3 + 16. Let h(q) be the third derivative of z(q). Factor h(m).
2*(m - 3)*(m - 2)
Let z(b) be the second derivative of -b**5/60 + 8*b**4 - 2578*b. Factor z(d).
-d**2*(d - 288)/3
Determine c, given that 0 - 1/5*c**3 - 25*c**2 - 484/5*c = 0.
-121, -4, 0
Let v(x) be the third derivative of 0*x - 1/14*x**7 - 5/12*x**6 - 5/4*x**4 - 5/6*x**3 + 0 - 58*x**2 - x**5. Find z, given that v(z) = 0.
-1, -1/3
Solve 371*v**2 + 3888 + 136*v**2 + 8*v**4 + 177*v**2 - 327*v - 2373*v - 5*v**4 - 75*v**3 = 0 for v.
4, 6, 9
Let j(d) be the second derivative of d**5/100 + 21*d**4/4 + 209*d**3/10 + 313*d**2/10 - 1387*d. Solve j(i) = 0 for i.
-313, -1
Solve 103908*f - 424248*f + 1260*f**2 + 631688 - 4*f**3 + 996*f**2 = 0 for f.
2, 281
Let l(t) = -4 - 12*t**2 + 0 + 14*t**2 + 0. Let j be l(-2). Suppose -4*o**3 + 4*o - j*o**2 + 0*o**2 + 4*o**4 + 5*o - 5*o = 0. Calculate o.
-1, 0, 1
Let v(r) = -3*r + 76. Let y be v(24). Factor 68*c**3 - 4*c**5 - 18*c**y + 7*c**2 + 3*c**5 - 67*c**3 + 15*c**4 - 4.
-(c - 1)**2*(c + 1)*(c + 2)**2
Let x(n) be the first derivative of 7*n**4/22 - 2*n**3/33 - 48*n**2/11 - 72*n/11 + 133. Factor x(h).
2*(h - 3)*(h + 2)*(7*h + 6)/11
Let k(i) be the first derivative of -45 - 3/4*i**2 + 3/8*i**4 - 9/2*i**3 + 27/2*i. Solve k(z) = 0.
-1, 1, 9
Let w(v) be the third derivative of -7*v**6/60 - v**5/15 - v**2 + 2042*v. Find f such that w(f) = 0.
-2/7, 0
Find q such that 66/5*q**2 - 24 + 56/5*q - 2/5*q**4 + 0*q**3 = 0.
-5, -2, 1, 6
Let g(z) be the second derivative of z**6/70 + 99*z**5/140 + 5*z**4 - 2844*z - 1. Factor g(x).
3*x**2*(x + 5)*(x + 28)/7
Suppose 37*l - 7 - 83 = 7*l. Let c(b) be the first derivative of -35 + 1/2*b + 0*b**2 - 1/6*b**l. Factor c(r).
-(r - 1)*(r + 1)/2
Suppose -297*z + 1758 = 530*z + 178*z - 126*z. Solve -32/9*t + 64/9 + 4/9*t**z = 0.
4
Suppose 53 = 11*m - 310. Factor 0*o**2 + o**2 + m*o - 28 - 47*o + 26*o.
(o - 2)*(o + 14)
Let q(p) be the first derivative of -34 + p + 3/4*p**2 + 1/6*p**3. Find n such that q(n) = 0.
-2, -1
Suppose -2*f - 6 = -4*f. Suppose f*u + 10 = 8*u. Factor 0*z**2 + 4*z**u - 4 + 4 + 4*z.
4*z*(z + 1)
Let j(p) be the third derivative of -p**6/160 - 9*p**5/40 - 77*p**4/32 - 15*p**3/2 - 3*p**2 + 376*p + 5. Find g such that j(g) = 0.
-12, -5, -1
Let o(b) = -8*b - 27. Let u be o(-10). Factor 826*z**2 - 831*z**2 + u - 18 + 10.
-5*(z - 3)*(z + 3)
Determine b, given that -b**2 + 5*b**2 - 3712*b + 3488*b = 0.
0, 56
Suppose -175 + 455 = 14*t. Solve -64*h**2 - 2*h**4 - 180 - t*h**3 + 355 - 175 - 64*h = 0 for h.
-4, -2, 0
Let i(r) = -r**3 + 16*r**2 - 9*r + 18. Let a be i(12). Let x = a - 338. Suppose -12*u + 148*u**2 - 8 + 4*u**3 - x*u**2 = 0. Calculate u.
-1, 2
Let f(q) be the second derivative of 0 - 1/36*q**3 - 1/8*q**2 - 105*q + 1/144*q**4. Factor f(g).
(g - 3)*(g + 1)/12
Let z = 91789/2 + -45887. Determine b, given that 10 - 35/2*b**2 - 10*b**3 + 10*b + z*b**4 = 0.
-1, -2/3, 1, 2
Let b(o) be the third derivative of o**7/1155 + 13*o**6/220 - 41*o**5/110 + 125*o**4/132 - 14*o**3/11 + 9*o**2 + 2*o + 17. Factor b(a).
2*(a - 1)**3*(a + 42)/11
Let z = 4655/39 + 121/13. Let i = z - 128. Solve i*j**3 + 0 + 2/3*j + 4/3*j**2 = 0.
-1, 0
Suppose -77*s = -79*s. Find w such that 552*w + 15*w**2 + s*w**3 - 450 + 288*w + 103*w**2 + 4*w**3 = 0.
-15, 1/2
Suppose 315 - 6*s**2 + 1/3*s**4 - 144*s + 16/3*s**3 = 0. Calculate s.
-15, -7, 3
Suppose 18 = -33*t + 34*t. Suppose s = -5*s + t. Factor 4*l + 3*l - 14*l**s - 10*l**2 - 8*l**3 - l - 6*l**4.
-2*l*(l + 1)*(l + 3)*(3*l - 1)
Let r = 240725/2 - 120362. Factor -5/2*z + 3/2 + 1/2*z**2 + r*z**3.
(z - 1)**2*(z + 3)/2
Let j = -88337 + 88342. Factor 8/9*n**4 - 34/9*n + 2/9*n**j - 28/9*n**2 + 0*n**3 - 4/3.
2*(n - 2)*(n + 1)**3*(n + 3)/9
Let j(t) be the first derivative of 4*t**2 - 4/3*t**3 + 27 + 0*t. Factor j(m).
-4*m*(m - 2)
Let w be 8 + ((-258)/15 - (-1 - (4 + 5))). Let -2*g**3 + 2/5*g**2 + 4/5*g + w*g**4 + 0 = 0. Calculate g.
-1/2, 0, 1, 2
Find a such that 313 - 9*a**3 - 254 - 375*a**2 + 359 + 534 - 3843*a + 371 = 0.
-21, 1/3
Let a(b) be the second derivative of -43/8*b**2 + 217/48*b**3 + 2*b + 1 - 5/96*b**4. Factor a(j).
-(j - 43)*(5*j - 2)/8
Let m = -62 + 66. Suppose -j - o + 29 = j, 26 = 2*j - 2*o. Solve 4*a**2 - 4*a**m + 8*a**3 - j*a - 22*a + 28*a = 0 for a.
-1, 0, 1, 2
Let o(g) = -g**5 - g**4 + g - 2. Let a(m) = 8*m**4 + 24 + 2*m**5 - 9 - 9*m**4 + 5*m**4 - 6*m**2 - 2*m**3 - 16. Let h(v) = 3*a(v) - 3*o(v). Factor h(s).
3*(s - 1)*(s + 1)**3*(3*s - 1)
Let b(o) be the first derivative of -4*o**3/21 + 340*o**2/7 + 684*o/7 + 4488. Factor b(t).
-4*(t - 171)*(t + 1)/7
Factor -4/3*o**2 + 4/3 - 26/3*o + 26/3*o**3.
2*(o - 1)*(o + 1)*(13*o - 2)/3
Let a = -22 + 40. Suppose -2*h - 4 = 0, -s + 0*h + a = -4*h. Let 0*u + 4 + 4*u - 6 - 8*u**2 - 4*u**3 + s = 0. What is u?
-2, -1, 1
Let v(m) be the second derivative of 3/4*m**4 + 6*m**2 - 3/10*m**5 - m - 31 + 4*m**3 - 1/10*m**6. Find n, given that v(n) = 0.
-2, -1, 2
Suppose f + 14 = 15*f. Suppose f - 12*k**3 - 2*k**4 - 12 - 26*k**2 - 24*k + 3 = 0. What is k?
-2, -1
Let i(r) = r + 2. Let s be i(-3). Let f(v) = 5*v**2. Let k be f(s). Factor k*u + 0*u + 2*u**2 - 1 - u**4 - 5*u.
-(u - 1)**2*(u + 1)**2
Let u(v) = -8*v + 90. Let l be u(11). Factor -20480 - 150*a**l + 76*a**2 + 69*a**2 + 640*a.
-5*(a - 64)**2
Let c(h) be the first derivative of -h**4/6 + 2*h**3/3 - h**2 - 54*h + 7. Let p(o) be the first derivative of c(o). Factor p(s).
-2*(s - 1)**2
Suppose q - 2 = 1, 4*y + 3*q - 25 = 0. Suppose v - 6*v + 5*r = -40, 0 = -y*r + 12. Factor v - 6*w**2 - 19*w**2 - 40*w - 31 - 5*w**3.
-5*(w + 1)*(w + 2)**2
Let n = 627997 - 627994. Factor 0 + 10*v + 1/2*v**n - 9/2*v**2.
v*(v - 5)*(v - 4)/2
Let w(b) be the first derivative of 4*b**5/5 + 257*b**4 + 67564*b**3/3 + 96774*b**2 - 7855. Let w(h) = 0. Calculate h.
-127, -3, 0
Suppose 0 - 1/4*s**4 + 35/2*s + 19/2*s**3 - 107/4*s**2 = 0. Calculate s.
0, 1, 2, 35
Let j(k) be the first derivative of -34 + 1/20*k**5 + 3/4*k + 1/4*k**2 - 1/8*k**4 - 1/3*k**3. Solve j(h) = 0 for h.
-1, 1, 3
Let l = 992 + -911. Suppose -l*s + 45 = -66*s. Find u such that -2/5*u**5 + 4/5*u**2 - 6/5*u**4 + 6/5*u + 2/5 - 4/5*u**s = 0.
-1, 1
Factor -87/5*s**2 + 3/5*s - 3/5*s**3 + 87/5.
-3*(s - 1)*(s + 1)*(s + 29)/5
Let k be (-2)/(3*2/(-6)). Factor -135*m**3 - 63*m**k + 103*m**3 - 9*m**2 - 32 - 4*m**4 - 88*m - 12*m**2.
-4*(m + 1)**2*(m + 2)*(m + 4)
Let b(u) be the third derivative of 8*u**2 + 0*u**4 - 1/8*u**5 - 1/144*u**6 + 3*u + 0 + 0*u**