r**4/12 - 45*r**3/2 + 175*r + 18. Let c(v) be the first derivative of z(v). Let c(w) = 0. What is w?
0, 27
Let 18*u**3 - 36 - 4*u + 5*u + 39*u**2 - 5*u**2 - 8*u - 11*u + 2*u**4 = 0. What is u?
-6, -3, -1, 1
Let m(v) be the third derivative of 0*v + 0 + 31/25*v**5 - 4418/15*v**3 - 1/150*v**6 - 141/2*v**4 + 118*v**2. Determine t so that m(t) = 0.
-1, 47
Suppose -52*j = 67*j. Let m(f) be the third derivative of 1/15*f**5 + j*f + 0 - 2*f**2 + 50/3*f**3 - 5/3*f**4. What is d in m(d) = 0?
5
Let n(y) be the first derivative of -y**4/2 + 60*y**3 + 183*y**2 + 184*y - 818. Suppose n(a) = 0. What is a?
-1, 92
Let i be (20/60)/((-20)/(-6)) - (-3159)/810. Let 2/15*v**2 + i*v - 62/15 = 0. Calculate v.
-31, 1
Let c(w) = -4*w**2 - 36*w + 6. Let z(s) = -3*s**2 - 33*s + 4. Let k(n) = -2*c(n) + 3*z(n). Factor k(o).
-o*(o + 27)
Let w = -77 + 19. Let z = w - -60. Determine r so that -r**3 + 8*r**z - 12*r**4 + 10*r**3 + 11*r**3 = 0.
-1/3, 0, 2
What is p in 58459*p**2 - 1806*p - 59855*p**2 - 998*p - 1404 + 4*p**3 = 0?
-1, 351
Let i(o) be the second derivative of 5*o**7/168 + 3*o**6/4 + 27*o**5/4 + 595*o**4/24 + 245*o**3/8 - 2275*o. Suppose i(w) = 0. Calculate w.
-7, -3, -1, 0
Factor 222 - 81226*d - 4*d**2 + 79838*d + 378 - 24*d**2.
-4*(d + 50)*(7*d - 3)
Let z be (-55 - -1)*50/175*7/(-6). Factor -21*c + 5/2*c**2 - z + 25/4*c**3.
(c - 2)*(5*c + 6)**2/4
Let v(z) be the third derivative of 1/168*z**8 - 79*z**2 + 0 + 0*z**3 + 0*z - 1/2*z**5 + 0*z**4 - 13/105*z**7 - 29/60*z**6. Factor v(o).
2*o**2*(o - 15)*(o + 1)**2
Find n such that -3722*n + 20480 + 46*n**3 + 240*n**2 + 46*n**3 - 1078*n - 87*n**3 = 0.
-64, 8
Let j be (-1 - -2)*((-193)/(-1737))/(2/1032). Determine z so that -16*z + j*z**3 + 0 + 112/3*z**4 + 20/3*z**5 + 32/3*z**2 = 0.
-3, -2, -1, 0, 2/5
Let h(f) be the first derivative of -76 + 0*f**2 + 0*f + 2/35*f**5 + 3/14*f**4 + 0*f**3. Suppose h(q) = 0. Calculate q.
-3, 0
Let y = -67 - -41. Let l = 28 + y. Determine p, given that -p - 58*p**3 + 57*p**3 - p**2 - 4*p**l - 3*p = 0.
-4, -1, 0
Let u(p) be the third derivative of -p**8/560 + 29*p**7/350 - 129*p**6/100 + 152*p**5/25 + 112*p**4/5 + 83*p**2 - 5*p. What is x in u(x) = 0?
-1, 0, 8, 14
Let x(a) be the first derivative of 0*a - 8/9*a**3 + 44 + 0*a**2 - 1/18*a**4. Factor x(v).
-2*v**2*(v + 12)/9
Determine d so that 11/2*d + 1/2*d**3 - 35 + 5*d**2 = 0.
-7, -5, 2
Let p = 292676 - 292676. Let -2/5*x**4 + 6/5*x**5 + p*x + 2/5*x**2 + 0 - 6/5*x**3 = 0. Calculate x.
-1, 0, 1/3, 1
Factor -59*y**2 + 2*y**2 + 945 + 867*y - 24*y**2 - 14350*y**3 + 14347*y**3.
-3*(y - 9)*(y + 1)*(y + 35)
Factor 9/5 - 6/5*s - 11/5*s**2 + 4/5*s**3.
(s - 3)*(s + 1)*(4*s - 3)/5
Let i(d) be the second derivative of -d**4/4 - 1073*d**3 - 3453987*d**2/2 + 9*d + 244. Determine s, given that i(s) = 0.
-1073
Let l = -2 - -5. Suppose -3*t = 4*i - 17, -14 = i - 4*t - 4. Factor -4*j**i + 2*j**3 - j**2 - 84*j**4 + 8*j**l + 79*j**4.
-5*j**2*(j - 1)**2
Let l be (-552*2 - 2)/(-3 - -5). Let p = l - -557. Determine w, given that 2/5*w**p + 4/15*w**3 + 2/5 - 2/15*w**5 - 2/15*w - 4/5*w**2 = 0.
-1, 1, 3
Let q(i) be the second derivative of i**7/70 + i**6/10 - 3*i**5/50 - 7*i**4/5 - 4*i**3/5 + 48*i**2/5 + 10*i - 4. Solve q(u) = 0.
-4, -2, 1, 2
Factor 4/7*q**2 + 0 + 404/7*q.
4*q*(q + 101)/7
Suppose -7*h + 9 = 2*h. Let p(l) = l**4 - l**3 - l. Let o(q) = 20*q**4 - 4*q**3 - 24*q**2 - 2*q. Let b(d) = h*o(d) - 10*p(d). Let b(v) = 0. What is v?
-2, 0, 2/5, 1
Let p = 862 + -852. Suppose -5*a - 2*r + p = 0, 3*a - 3 - 3 = 4*r. Factor -8/9*y - 8/9 - 2/9*y**a.
-2*(y + 2)**2/9
Let k(b) = -b**3 + 11*b**2 + 79*b + 17. Let v be k(16). Let y be (3/(-10))/(v/(-20)*8). What is t in -15/4*t + y*t**2 + 9/4 + 3/4*t**3 = 0?
-3, 1
Suppose 5*u - 32 = -4*i, u + 2*i + 44 = 6*u. Suppose u*o = 36 - 12. Let -t**o - 1/6*t**4 - 5/3*t - 2*t**2 - 1/2 = 0. Calculate t.
-3, -1
Let l(t) = t**2 - 9*t + 1. Let s(b) = -6*b**2 + 8247*b - 5630703. Let m(o) = -3*l(o) - s(o). Determine j so that m(j) = 0.
1370
Find n, given that -533968/5*n**3 - 206024/5*n**2 + 533988/5*n - 4*n**5 + 212552/5 - 6528/5*n**4 = 0.
-163, -1, -2/5, 1
Let k(d) be the second derivative of -7/24*d**3 + 23/16*d**5 + 0 - 1/4*d**2 + 7/10*d**6 + 13/24*d**4 + 19*d. Suppose k(a) = 0. Calculate a.
-1, -1/3, -2/7, 1/4
Let i(f) be the first derivative of f**5/80 - f**4/8 - 57*f - 41. Let w(a) be the first derivative of i(a). Factor w(d).
d**2*(d - 6)/4
Let d be (-1702)/69*(-10)/8*-6. Let q be (d/(-35) + -3)*(-7 + 8). Let -q*r - 32/7 - 2/7*r**2 = 0. Calculate r.
-4
Let k(u) = -3*u**2 - 18*u + 24. Let h be k(-8). Let z be -8 - (8 - (-464)/h). Solve 5*a + 5/3*a**2 + z = 0.
-2, -1
Let k be (432535/209)/(-145) + 15. Let z = 1/5284 - -676341/58124. Factor 64/11*f - 24/11*f**2 + z + 2/11*f**4 - k*f**3.
2*(f - 4)**2*(f + 2)**2/11
Factor 0 - 1/2*l**4 + 9*l - 2*l**3 + 15/2*l**2.
-l*(l - 3)*(l + 1)*(l + 6)/2
Let p = -7094 + 7096. Suppose -2/17*x**p + 8/17*x + 0 = 0. What is x?
0, 4
Let x be (-2)/7 + 836/133. Determine o so that -x*o + 6*o + 6*o - o**2 - 8 = 0.
2, 4
Let x(c) = c + c**3 - 1 + 4*c**2 - 17*c**2 + 8*c**2 + 4*c**2. Let b(d) = 15*d**3 - 3*d**2 + 12*d - 42. Let m(o) = -b(o) + 18*x(o). Determine v so that m(v) = 0.
-1, 2, 4
Find q such that 11*q**5 + 1012*q**4 - 2224*q**4 + 693*q - 8*q**5 + 1134*q**4 - 696*q**3 + 78*q**2 = 0.
-7, -1, 0, 1, 33
Factor -9*r + 5*r + 26*r**2 + 0*r + 176*r**3 - 2*r.
2*r*(8*r - 1)*(11*r + 3)
Let l(i) be the second derivative of -7/18*i**3 - 1/36*i**4 + 38 + 2*i - i**2. Factor l(z).
-(z + 1)*(z + 6)/3
Find j, given that 408/7*j + 0 + 4/7*j**4 + 556/7*j**2 + 152/7*j**3 = 0.
-34, -3, -1, 0
Determine d so that 8*d - 28511*d**3 + 5*d**4 + 28*d**2 + d**5 - 4*d**4 - d**4 - 32 + 28497*d**3 - d**4 = 0.
-4, -1, 2
Let b be (11648/(-616))/104 - (-70)/22. Solve 0 - 1/4*u**4 + 1/4*u + 3/4*u**b - 3/4*u**2 = 0 for u.
0, 1
Let k(q) = q**3 + 20*q**2 - 2*q - 24. Let h be k(-20). Factor 4*i**2 - 3*i**2 + 52 - h*i + 66*i - 3*i**2.
-2*(i - 26)*(i + 1)
Let i(g) = -2*g**3 - 234*g**2 - 244*g - 1389. Let j be i(-116). Solve 45/4 - 87/4*p + 3/4*p**j + 39/4*p**2 = 0 for p.
-15, 1
Let c(k) be the third derivative of k**5/45 + 446*k**4/3 + 397832*k**3 + 992*k**2. Factor c(m).
4*(m + 1338)**2/3
Let d be (-2)/7*((-693)/(-1089))/((-64)/88). Suppose -67/4*k**3 - 54*k - 13/4*k**4 - 27 - 171/4*k**2 - d*k**5 = 0. Calculate k.
-3, -2
Suppose -9*p**2 - 452*p + 156*p - 6*p**2 - 7*p**2 + 20*p**2 = 0. What is p?
-148, 0
Suppose -f + 2*j + 63 = 0, -4*f - 20*j + 255 = -25*j. Let 23*q**2 - 18*q**2 + f*q - 15*q + 45 = 0. What is q?
-9, -1
Let h be (1 + (-14)/6)/(86/(-129)). Let -364*v**2 + 10*v + 737*v**2 - 368*v**h = 0. Calculate v.
-2, 0
Let q(m) be the first derivative of -5*m**6/36 - 5*m**5/3 - 175*m**4/24 - 125*m**3/9 - 10*m**2 - 386. Solve q(o) = 0.
-4, -3, -2, -1, 0
Let y(p) be the second derivative of p**4/36 - 806*p**3/9 + 324818*p**2/3 - 4716*p. Let y(v) = 0. What is v?
806
Factor -n**3 - 30319*n + 105*n**2 - 13543 + 27844*n - 1582.
-(n - 55)**2*(n + 5)
Let n(x) be the first derivative of -85 + 0*x**3 + 0*x + 1/7*x**2 + 1/21*x**6 - 1/7*x**4 + 0*x**5. Factor n(d).
2*d*(d - 1)**2*(d + 1)**2/7
Let d(r) be the second derivative of 0 - 1/10*r**6 - 3/10*r**5 + 3/2*r**2 + r**3 + 56*r + 0*r**4. Factor d(h).
-3*(h - 1)*(h + 1)**3
Let d be 2 - 3/(-24)*18*(-400)/750. Factor d - 2/5*z - 2/5*z**2.
-2*(z - 1)*(z + 2)/5
Suppose 13 + 27 = 5*c. Factor 20*l**2 - 4*l + 2*l**3 + c + 2*l - 28.
2*(l - 1)*(l + 1)*(l + 10)
Let y(h) be the first derivative of h**6/36 + 19*h**5/30 + 17*h**4/8 - 51*h**3/2 - 90*h**2 + 702*h - 2805. Find f such that y(f) = 0.
-13, -6, 3
Suppose 4*n + 182 = 70. Let o be n/(-49) + (-124)/(-28) - 1. Factor 5*x + o*x**2 - 4/3*x**3 + 4/3.
-(x - 4)*(2*x + 1)**2/3
Let f(v) = -214*v**2 + 1 + 265*v**2 + 4*v - 4. Let x be f(1). Determine p so that 393*p**2 + x*p**4 - 193*p**2 + 5*p**5 + 165*p**3 + 80*p - 2*p**4 = 0.
-4, -1, 0
Let v be (4 - 8)/(-1) - (-21)/(-6). Let k(x) be the first derivative of 10 + 1/2*x**2 + v*x**3 + 1/8*x**4 + 0*x. Factor k(z).
z*(z + 1)*(z + 2)/2
Let v(f) be the first derivative of -5929*f**6/6 + 25641*f**5/5 - 26779*f**4/4 + 3353*f**3 - 620*f**2 + 48*f - 3522. Suppose v(q) = 0. What is q?
1/11, 4/7, 3
Let i(y) be the third derivative of 0 - 162*y**2 + 0*y - 1/336*y**8 - 1/30*y**5 + 0*y**7 + 1/40*y**6 + 0*y**3 + 0*y**4. Find n such 