11868025*y**2/7 + 2741*y. Suppose f(w) = 0. What is w?
-3445
Let d(n) be the first derivative of -3*n**4/8 + 131*n**3/2 - 3168*n**2 - 6534*n + 226. Factor d(l).
-3*(l - 66)**2*(l + 1)/2
Suppose -10*l + 7*l + 69 = 0. Suppose -l = 3*q - 29. Factor -5/2*j**q + 10*j + 10 - 5/2*j**3.
-5*(j - 2)*(j + 1)*(j + 2)/2
Let b(s) = 5*s + 3. Suppose 3*v - 11 = -5*j, 0 = 2*j + j + v - 5. Let n be b(j). Factor -301*g**3 + 317*g**3 - n*g**5 + 4*g**5.
-4*g**3*(g - 2)*(g + 2)
Find a such that 9 - 18 - 33*a**3 - 128*a + 12*a**3 + 125*a + 33*a**2 = 0.
-3/7, 1
Suppose -558*w - 5 = -521*w - 79. Let f(z) be the second derivative of -1/126*z**7 + 1/18*z**3 + 0*z**5 - 1/45*z**6 + 0 + 0*z**w + 1/18*z**4 - 6*z. Factor f(v).
-v*(v - 1)*(v + 1)**3/3
Let r(p) be the third derivative of 509*p**5/90 + 57*p**4/4 + 4*p**3/9 - 2553*p**2. Factor r(d).
2*(d + 1)*(509*d + 4)/3
Let n(t) be the first derivative of t**5/190 - 4*t**4/57 - t**3/3 - 10*t**2/19 - 54*t + 52. Let b(i) be the first derivative of n(i). Let b(x) = 0. Calculate x.
-1, 10
Suppose 2*h = 3*d + 16, -10*d = 2*h - 5*d. Let m be (h/(-75))/(17/(-102)). Determine s, given that -m*s - 2/15*s**3 - 2/15 - 2/5*s**2 = 0.
-1
Suppose 5*w + 5*l + 22 = 252, 2*w = l + 98. Factor 195 - 195 + 3*b**4 - w*b + 72*b**2 - 27*b**3.
3*b*(b - 4)**2*(b - 1)
Let p(h) be the first derivative of 1/4*h**4 - h**3 + h**2 + 5 + 0*h. Factor p(m).
m*(m - 2)*(m - 1)
Let i(n) = n**2 + 3*n - 1. Let l(c) = 3*c**3 + 79*c**2 + 573*c + 5. Let m(t) = 5*i(t) + l(t). Factor m(d).
3*d*(d + 14)**2
Let o be (-10 + 882/77)/(3619/(-330) + 11). Factor 350/11*m**3 - 32/11 - o*m**2 + 216/11*m.
2*(5*m - 2)**2*(7*m - 4)/11
Let k be (528/396)/(4/21). Let h be k - ((-270)/(-25) + (-45)/9). Find n such that -1/5*n**2 - h*n + 0 = 0.
-6, 0
Let n(q) = 8*q**2 - 98*q - 3511. Let j(o) = -4*o**2 + 48*o + 1770. Let z(l) = -13*j(l) - 6*n(l). Find r such that z(r) = 0.
-18, 27
Factor -104*q - 135406 - q**2 + 554*q + 288*q - 755.
-(q - 369)**2
Solve -1/2*q**4 + 227/2*q**2 - 630*q + 5*q**3 - 7938 = 0 for q.
-9, 14
Let a(f) be the first derivative of -f**4/20 + 3*f**3 + 122*f**2/5 + 60*f + 1696. Determine n so that a(n) = 0.
-3, -2, 50
Find h such that 144336*h**2 + 2050*h**3 - 1595151*h**2 + 3650*h**3 + 150401155*h - 1035*h**3 - 5*h**4 = 0.
0, 311
Let s = -33343/2 - -16675. Factor s + 3/4*h**3 + 4*h**2 - 33/4*h.
(h - 1)*(h + 7)*(3*h - 2)/4
Let u = 1535 - 2575. Let s = u - -1044. Suppose 0*r + 32/5*r**2 + 24/5*r**s + 4/5*r**5 + 48/5*r**3 + 0 = 0. What is r?
-2, 0
Let r(h) be the third derivative of h**5/20 + 23*h**4/4 - 47*h**3/2 - h**2 + 157*h. Solve r(f) = 0.
-47, 1
Find s, given that 4*s**2 + 96 + 832*s + 1627 + 1067 + 474 = 0.
-204, -4
Suppose 252 = -5*h + 8*h. Suppose 0 = -3*k + 7*k - h. Factor -18*c**2 - 6*c + k*c**2 + 3*c**3 + 3*c**3 - 3*c**4.
-3*c*(c - 2)*(c - 1)*(c + 1)
Let d(m) = -19*m**2 + 10*m - 61. Let n(h) = -15*h**2 + 6*h - 30 + 41*h**2 - 35*h**2. Let b(o) = 6*d(o) - 13*n(o). Factor b(g).
3*(g - 4)*(g - 2)
Factor 546*j**2 + 2535 + j**3 + 5733*j + 2649 - 4*j**3.
-3*(j - 192)*(j + 1)*(j + 9)
Let p(q) be the third derivative of q**5/330 - 49*q**4/132 - 50*q**3/33 - 1558*q**2. Suppose p(i) = 0. Calculate i.
-1, 50
Let j(i) = 12*i**2 + 1104*i + 1172. Let d(y) = -11*y**2 - 1103*y - 1162. Let a(s) = 8*d(s) + 7*j(s). Factor a(l).
-4*(l + 1)*(l + 273)
Suppose 8 = 5*s - 2. Factor 16*r**2 - 1070*r + 25*r**3 - 12 + 12*r**s + 1134*r - 123*r**2.
(r - 3)*(5*r - 2)**2
Let z(k) be the third derivative of k**9/45360 + k**8/2880 + k**7/1260 + 3*k**4/2 + 107*k**2. Let h(g) be the second derivative of z(g). Factor h(s).
s**2*(s + 1)*(s + 6)/3
Suppose 9*y - 17 = 73. Suppose -y = -4*d + 14. Let -4 - 1 + 3 + d + t**2 + 4*t = 0. Calculate t.
-2
Suppose 0 = -0*s - s + 8. Suppose 5*l = t + 7, -10*l + s = -6*l. Factor p**2 - 9*p**t - 2*p + 13*p**3 + 18*p - 17*p**2.
4*p*(p - 2)**2
Let h(m) be the third derivative of 253*m**5/15 + 67*m**4/3 + 32*m**3/3 - 87*m**2. Suppose h(s) = 0. What is s?
-8/23, -2/11
Let m(a) be the third derivative of 1/540*a**6 + 4*a**2 - 7/3*a**3 - 1/18*a**4 + 0*a + 1/180*a**5 + 0. Let r(c) be the first derivative of m(c). Factor r(q).
2*(q - 1)*(q + 2)/3
Factor 46*u**2 - 117*u - 198/7 - 9/7*u**3.
-(u - 33)*(u - 3)*(9*u + 2)/7
Factor 867/8 + 391/8*y + 37/8*y**2 + 1/8*y**3.
(y + 3)*(y + 17)**2/8
Let w(l) = l**3 + 17*l**2 - 18*l + 5. Let m be w(-18). Suppose m*p + 5*n - 15 = 0, -2*n + n = 5*p - 11. Factor 14*z**p + 16*z**2 + z - 29*z**2.
z*(z + 1)
Let r(a) be the second derivative of a**6/15 + 7*a**5/10 + a**4 - 28*a**3/3 - 40*a**2 + 379*a. Factor r(w).
2*(w - 2)*(w + 2)**2*(w + 5)
Let l(h) = h**2 - 2*h. Let y = -132 + 186. Let a = y - 53. Let v(c) = 19*c**2 - 10*c. Let p(q) = a*v(q) - 3*l(q). Factor p(d).
4*d*(4*d - 1)
Factor -2*q**3 - 54 + 18*q - 270*q**2 + 522*q**2 - 246*q**2.
-2*(q - 3)**2*(q + 3)
Let u(b) be the second derivative of -7*b**5/20 + 647*b**4/3 + 370*b**3/3 - 439*b. Factor u(r).
-r*(r - 370)*(7*r + 2)
Let f(l) be the first derivative of l**5/30 + 7*l**4/12 + 4*l**3 - 10*l**2 - l + 118. Let y(h) be the second derivative of f(h). Factor y(v).
2*(v + 3)*(v + 4)
Let m(j) be the third derivative of -j**5/30 - 815*j**4/3 - 2656900*j**3/3 - 112*j**2 - 26. Factor m(h).
-2*(h + 1630)**2
Let j(v) be the first derivative of 150 - 3/4*v**2 + 21/4*v**3 + 0*v. What is r in j(r) = 0?
0, 2/21
Let o(n) be the third derivative of -n**8/1008 - 2*n**7/315 + n**6/36 + 7*n**5/45 + 5*n**4/24 + 4*n**2 - 342. Let o(z) = 0. What is z?
-5, -1, 0, 3
Find q such that -414/13*q**4 + 0 + 414/13*q**2 + 412/13*q - 2/13*q**5 - 410/13*q**3 = 0.
-206, -1, 0, 1
Let w(s) be the second derivative of 52/69*s**3 - 1/345*s**6 - 16*s - 1/230*s**5 + 3/23*s**4 + 40/23*s**2 - 2. Factor w(r).
-2*(r - 5)*(r + 2)**3/23
Suppose -3*d = 3*p + p + 6, -4*d - 8 = 3*p. Suppose p = -5*s + 14*s - 27. Factor 97*z**4 - 196*z**4 + 4*z**2 + 97*z**4 - 2*z**s.
-2*z**2*(z - 1)*(z + 2)
Let s = 12 + -5. Suppose 4*l - 15 = -s. Determine g so that 100*g**3 - 53 + 112*g + 165 + 32*g**4 + 152*g**l - 80 + 4*g**5 = 0.
-2, -1
Suppose 316*l - 2*i = 314*l + 6, -5*i + 17 = 3*l. Suppose -2*s + 5*m - 8*m - 8 = 0, -m - 14 = -5*s. Determine b so that -2/5*b**s + l*b - 10 = 0.
5
Let x be 11/(-6) + ((-7)/(1008/9) - 4521/(-2192)). Factor -5/3*d + 11/6 - x*d**2.
-(d - 1)*(d + 11)/6
Let i(d) be the second derivative of 1/2*d**4 + 1/10*d**6 + 0 - 9/2*d**2 - 3/5*d**5 - 177*d + 2*d**3. Find g, given that i(g) = 0.
-1, 1, 3
Let h(y) be the second derivative of 4/15*y**3 + 1/150*y**5 + 8/15*y**2 + 2 - 53*y + 1/15*y**4. What is q in h(q) = 0?
-2
Factor 0*w + 6/5*w**2 + 0 - 2/15*w**3.
-2*w**2*(w - 9)/15
Let c(d) = d**2 - 5*d - 12. Let i be 1 + (16/(-12) + 1)*9. Let h be c(i). Suppose 2/9 + 2/9*r**h - 4/9*r = 0. What is r?
1
Let q be 74/8 - -3 - 12. Let j(f) be the first derivative of 1/8*f**4 + 1/3*f**3 - f - q*f**2 - 11. Solve j(d) = 0.
-2, -1, 1
Let j be -2 - ((-8032)/160)/((-6)/(-10)). Let z be (4/(-6))/(1/(-3)). Find t such that 10/3*t**3 + 0*t + 0 - 245/6*t**5 + 20/3*t**z - j*t**4 = 0.
-2, -2/7, 0, 2/7
Let r = 700064 - 2100179/3. Let -r*a - 1/6*a**2 + 28/3 = 0. Calculate a.
-28, 2
Let x(m) be the first derivative of 3*m**4/4 - 61*m**3 + 1596*m**2 - 11760*m - 2515. Let x(b) = 0. What is b?
5, 28
Let d = 2203421 - 2203419. Solve -56/5*x**3 - 2744/5*x - 4802/5 - 588/5*x**d - 2/5*x**4 = 0.
-7
Let f(a) be the second derivative of 2*a**6/15 + 3*a**5 + 71*a**4/3 + 86*a**3 + 144*a**2 + 2829*a. Find g such that f(g) = 0.
-8, -3, -1
Let y(b) be the second derivative of -b**4/6 + 179*b**3/3 + b + 1374. Find t, given that y(t) = 0.
0, 179
Suppose 0*n - 2*n + 2*s - 588 = 0, -2*n - 612 = 4*s. Let b = 1789/6 + n. Determine q so that 1/6*q**4 - 5/6*q**2 - 1/2*q + 0 - b*q**3 = 0.
-1, 0, 3
Factor 315*r**2 - 324*r**2 - 525*r + 17 + 337.
-3*(r + 59)*(3*r - 2)
Let p be (-60)/(-9) + (-4)/6. Let o be (0 - -1)/((-10)/p - -2). Factor o*l**3 + 0*l + 54*l**2 - 57*l**2 + 0*l.
3*l**2*(l - 1)
Suppose 0 = -i + 5*k - 90, 0 = 2*k + k + 3. Let v = -91 - i. Factor -94 + v*x**2 - 3*x**2 - x**3 + 93 + x.
-(x - 1)**2*(x + 1)
Let t(n) be the third derivative of n**6/1080 - 7*n**5/180 + 131*n**4/216 - 77*n**3/18 - 507*n**2 + 3*n. Find l, given that t(l) = 0.
3, 7, 11
Let t = 3951/2 + -19743/10. Solve 4/5*m**3 + 12/5*m**2 - 2/5*m**5 - t - 6/5*m**4 - 2/5*m = 0.
-3, -1, 1
Let o(q) be t