e the second derivative of -y**5/60 - 71*y**4/12 - 612*y**3 + 5832*y**2 - 2686*y + 3. Suppose w(u) = 0. Calculate u.
-108, 3
Let h(w) be the second derivative of w**5/90 - 94*w**4 + 318096*w**3 - 538218432*w**2 - 8434*w. Find t such that h(t) = 0.
1692
Suppose -46/19*z**2 + 40/19*z - 12/19*z**3 + 18/19 = 0. Calculate z.
-9/2, -1/3, 1
Let v = 1379 - 1936. Let q = 559 + v. Suppose 2/7*s**3 + 4/7*s**q + 8/7 - 2*s = 0. Calculate s.
-4, 1
Let p(t) = t**4 + 6*t**2 - 1. Let w(j) = 3*j**4 + 742*j**3 + 6*j**2 - 1. Let r(z) = p(z) - w(z). Factor r(v).
-2*v**3*(v + 371)
Find q such that -1/4*q**5 + 7*q**3 - 27/2 + 27/2*q**2 + 0*q**4 - 27/4*q = 0.
-3, -1, 1, 6
Let j = -10 - -11. Suppose 5*z = -4*y + 4 - j, 0 = y + 2*z. Find w, given that -w**2 + 8*w**y - 8 - 8*w - 3*w**2 + 2*w**2 = 0.
-2/3, 2
Let q = -942 - -1032. Let m = q + -87. Find a such that -2/7*a**4 + 6/7*a**2 + 4/7*a**m + 0*a + 0 = 0.
-1, 0, 3
Let o(k) be the second derivative of -k**5/20 + 201*k**4/4 + 404*k**3 + 1214*k**2 - 5674*k. Find n such that o(n) = 0.
-2, 607
Factor -41405*v + 71*v**2 + 309*v**2 + 269*v**2 + 293*v**2 - 5*v**3 - 32*v**2.
-5*v*(v - 91)**2
Let x(l) = -l**3 + 9*l**2 - 9*l + 22. Let r be x(9). Let c = r + 62. Factor 3*d**c - 6*d - 4*d + 7*d.
3*d*(d - 1)*(d + 1)
Let z(j) be the first derivative of 5*j**9/3024 + j**8/168 - j**7/21 - 11*j**3/3 - 37. Let r(c) be the third derivative of z(c). Factor r(y).
5*y**3*(y - 2)*(y + 4)
Let n(o) = 6*o**3 + 5*o**2 - 65*o - 2. Let t be n(3). Factor 3/2*u**3 - 5 + 27/2*u - t*u**2.
(u - 5)*(u - 1)*(3*u - 2)/2
Let z = -18 + 18. Suppose z = -2*j - 7 + 11. What is v in -2*v**j - 1 - 8 - 18*v - 8*v**2 + 1 = 0?
-1, -4/5
Factor -30*w - 144 + 3/2*w**2.
3*(w - 24)*(w + 4)/2
Let b = 158 + -109. Let d = b + -13. Suppose 5*c**2 + c**2 - 4*c**2 + 0*c**2 + 162 - d*c = 0. What is c?
9
Determine y, given that -34/3*y**2 - 56/3 + 88/3*y + 2/3*y**3 = 0.
1, 2, 14
Let d = -186 - -144. Let m = d + 50. Find x such that -5*x**2 - 7*x**3 - 14*x**4 + m*x**4 + 4*x**2 = 0.
-1, -1/6, 0
Suppose 0 = -3*i + w + 2*w + 3, 5*w = -4*i - 5. Suppose i = 3*d - 23 - 22. Factor -7*c + 335*c**3 + c - d*c**2 - 314*c**3.
3*c*(c - 1)*(7*c + 2)
Determine c so that -825*c + 1305 + 115*c**2 + 5*c**3 - 1784 + 1784 = 0.
-29, 3
Let m(a) be the third derivative of 36 + 0*a**3 + 1/240*a**6 + 361/48*a**4 - 19/60*a**5 + 0*a + 2*a**2. Factor m(d).
d*(d - 19)**2/2
Let o(t) be the second derivative of -1/15*t**6 - 6 + 2*t + 0*t**2 - 1/6*t**4 + 0*t**3 - 1/5*t**5. Factor o(l).
-2*l**2*(l + 1)**2
Let q(g) be the first derivative of 23/2*g**4 - 2/5*g**5 + 77*g**2 - 44 - 94*g**3 + 484*g. Factor q(a).
-2*(a - 11)**2*(a - 2)*(a + 1)
Let o(h) = -h**2. Let g(i) = 8*i**2 - 172*i - 552*i**2 + 822*i - 125 - 299*i**2. Let q(u) = g(u) + 2*o(u). Determine f, given that q(f) = 0.
5/13
Let o(n) be the third derivative of n**5/210 - 31*n**4/12 - 218*n**3/21 - 921*n**2. Factor o(r).
2*(r - 218)*(r + 1)/7
Let d(b) = -76*b**2 + 372*b - 224. Let t(a) = -156*a**2 + 732*a - 450. Let y(u) = -7*d(u) + 4*t(u). Suppose y(n) = 0. Calculate n.
1, 58/23
Let d be 10/35 + (-6)/(-126). Let l(b) be the third derivative of 0 + 0*b + 2*b**2 + 8/3*b**3 + 1/60*b**5 + d*b**4. Factor l(p).
(p + 4)**2
Solve -628*k + k**3 - 808*k + 67*k**2 - 753*k + 1905*k = 0 for k.
-71, 0, 4
Let -10/9*r**2 + 40/9 - 8/9*r + 2/9*r**3 = 0. Calculate r.
-2, 2, 5
Determine j, given that 56287167 + 23*j**2 + 30*j**2 + 14008*j - 44048*j - 11167087 - 48*j**2 = 0.
3004
Let z(l) be the third derivative of -4/15*l**5 - 5/36*l**4 + 0*l**3 + 1/36*l**6 + 0*l + 0 - 112*l**2. Suppose z(n) = 0. What is n?
-1/5, 0, 5
Factor 91*o**2 + 165 + 92*o**2 - 39 + 57*o - 186*o**2.
-3*(o - 21)*(o + 2)
Factor -312/7*c**3 + 90*c**2 - 316/7*c - 2/7*c**4 + 0.
-2*c*(c - 1)**2*(c + 158)/7
Suppose -2*l - 19 = -27. Solve 2*s - 14*s**3 - 145*s**l + 14*s + 133*s**4 - 2*s**5 + 12*s**2 = 0 for s.
-4, -2, -1, 0, 1
Factor 5 - 1/2*m**3 - 17/2*m + 4*m**2.
-(m - 5)*(m - 2)*(m - 1)/2
Let a(z) be the third derivative of -6 + 4/45*z**5 + 1/6*z**4 + 0*z - 2/9*z**3 - 4*z**2. Factor a(m).
4*(m + 1)*(4*m - 1)/3
Let n(h) be the first derivative of h**4/24 - 4*h**3/9 - 259*h**2/12 - 539*h/3 + 1947. Solve n(c) = 0.
-7, 22
Let b be 7/(3/(0 + 3)). Let z = 13 - b. Let t(v) = -v**2 - 3*v - 11. Let c(i) = i**2 + 2*i + 10. Let r(k) = z*t(k) + 7*c(k). Factor r(p).
(p - 2)**2
Let t(i) be the first derivative of -i**3/12 - 183*i**2/8 - 91*i/2 - 88. Factor t(z).
-(z + 1)*(z + 182)/4
Let p(o) be the second derivative of 28*o**4/3 - 394*o**3/3 + 14*o**2 - 57*o - 4. Factor p(q).
4*(q - 7)*(28*q - 1)
Suppose -2*m = 2*a - 16, 31 - 3 = 4*a + 2*m. Let i be (a/(-2))/(675/(-50)). Find h such that 0 + 2/9*h + i*h**3 - 4/9*h**2 = 0.
0, 1
Suppose 3*s + 2*i + 1 = 3, 0 = 3*s + 5*i + 13. Determine b so that 16/9 - s*b - 70/9*b**2 = 0.
-4/5, 2/7
Suppose 10 + 59*j**3 + 48*j**3 + 21*j - 115*j**3 - 10*j**2 + 13*j**2 = 0. What is j?
-1, -5/8, 2
Let b(a) be the second derivative of -a**6/195 - 29*a**5/130 - 61*a**4/39 - 40*a**3/39 + 192*a**2/13 + 9*a - 45. What is q in b(q) = 0?
-24, -4, -2, 1
Let m(h) = -3280*h + 3200. Let r(v) = -v**2 + 3268*v - 3207. Let c(g) = -3*m(g) - 4*r(g). Factor c(k).
4*(k - 807)*(k - 1)
Let w(n) be the second derivative of n**4/30 - 29*n**3/3 - 444*n**2/5 - 7236*n. Factor w(c).
2*(c - 148)*(c + 3)/5
Let x = -111056 - -111065. Factor 138/5*m + 3/5*m**4 + x + 144/5*m**2 + 54/5*m**3.
3*(m + 1)**3*(m + 15)/5
Let t(u) be the second derivative of u**6/90 - 3*u**5/20 - 5*u**4/9 + 6*u**3 - 40*u**2/3 + 101*u - 1. Let t(i) = 0. Calculate i.
-4, 1, 2, 10
Let v(l) be the first derivative of 155/3*l**3 + 540*l + 5/4*l**4 - 9 + 280*l**2. Factor v(q).
5*(q + 2)**2*(q + 27)
Suppose 335/8*g**2 + 1/2 + 337/8*g**3 - 169/2*g = 0. What is g?
-2, 2/337, 1
Solve -108/7 + 6*h**2 + 3/7*h**3 + 9*h = 0.
-12, -3, 1
Suppose a - 6 = -1. Suppose 5*w - 10 = -a*h, -5*h + 3*w = 2*w + 2. Factor -9*k**2 + 3*k**4 + 3*k + 2 + 4 + h - 4*k**3 + k**3.
3*(k - 2)*(k - 1)*(k + 1)**2
Let i = -7148849/5 + 1429771. What is d in 0 - i*d + 2/5*d**2 = 0?
0, 3
Let f = -755695 + 755695. Factor f*y + 0 + 1/3*y**3 - 26/3*y**2.
y**2*(y - 26)/3
Let b = 18/69569 + 2279636938/208707. Factor b*h + 128/3*h**3 + 2/3*h**4 + 1024*h**2 + 131072/3.
2*(h + 16)**4/3
Let d(x) be the first derivative of x**4/4 - 100*x**3 - 1854*x**2 - 11232*x + 5547. Determine g, given that d(g) = 0.
-6, 312
Suppose 0 - 3/2*y**2 + 342*y = 0. What is y?
0, 228
Suppose a - 14 = 0, 59*w - 7 = 66*w - 2*a. Suppose -3 - 13/2*g - 7/2*g**2 + 1/2*g**4 + 1/2*g**w = 0. What is g?
-2, -1, 3
Let t(x) be the third derivative of 3/280*x**8 + 0*x**3 + 1/60*x**6 - 1/75*x**5 + 16/525*x**7 + 0*x**4 + 60*x**2 + 0 + 0*x. Factor t(c).
2*c**2*(c + 1)**2*(9*c - 2)/5
Factor 0 - 248/11*l**2 - 70/11*l**4 + 2/11*l**5 + 256/11*l**3 + 0*l.
2*l**2*(l - 31)*(l - 2)**2/11
Let g be -49 + 5983/124 - (-35)/36. Find d, given that g*d**5 + 34/9*d**4 - 482/9*d**2 - 200/9 + 86/9*d**3 + 560/9*d = 0.
-10, 1
Let s(m) be the first derivative of -5*m**6/6 - 397*m**5 - 1965*m**4/4 + 5945*m**3/3 + 985*m**2 - 3960*m - 9244. Solve s(g) = 0.
-396, -2, -1, 1
Let v(n) = 4*n**3 + 92*n**2 - 691*n + 575. Let o(b) = 12*b**3 + 276*b**2 - 2070*b + 1726. Let y(j) = 5*o(j) - 14*v(j). Find a, given that y(a) = 0.
-29, 1, 5
Factor -2175/2*a - 255/2*a**2 - 5/2*a**3 + 29435/2.
-5*(a - 7)*(a + 29)**2/2
Let d be (((-8)/(-3))/4)/((-14)/(-126)). Let s(k) be the second derivative of -1/12*k**3 + 18*k + 0*k**2 + 1/60*k**d + 0 + 1/8*k**4 - 3/40*k**5. Factor s(t).
t*(t - 1)**3/2
Let 16/7*u**5 - 10*u**4 - 24/7*u**3 + 68/7*u - 48/7 + 178/7*u**2 = 0. Calculate u.
-1, 3/8, 2, 4
Determine s so that 47*s**2 - 236/5*s - 1/5*s**5 + 17/5*s**4 - 99/5*s**3 + 84/5 = 0.
1, 2, 6, 7
Let w = 1719 - 1692. Suppose 5*c - 12 = 2*n, w*c + 4 = -3*n + 31*c. Determine b, given that 1/3*b**n - 5/3*b**2 + b**3 + 4/3 - b = 0.
-4, -1, 1
Let r(p) = -9*p + 137. Let w be r(15). Let o(y) be the second derivative of -1/20*y**5 + 2/9*y**4 + 0*y**w + 0 - 2/9*y**3 + 18*y. What is l in o(l) = 0?
0, 2/3, 2
Find i such that 1036/5*i + 134162/5 + 2/5*i**2 = 0.
-259
Factor 1/4 - 167/4*l**2 - 41/2*l - 21*l**3.
-(l + 1)**2*(84*l - 1)/4
Let n be ((-14)/((-70)/(-15)))/(4 - 1). Let q be -3 + 3 - n - 12/(-48). Factor q + 0*l**3 - 5/2*l**2 + 5/4*l**4 + 0*l.
5*(l - 1)**2*(l + 1)**2/4
Let t(n) be the third deriv