**2 + 40*n + 7. Let d(v) = 13*g(v) - 6*y(v). Factor d(a).
-(a - 1)*(a + 13)*(4*a + 1)
Let p(r) = 2*r**4 + 4*r**3 + r**2 + r. Let u(h) = 5*h**4 + 140*h**3 + 70*h**2 - 275*h - 200. Let t(k) = -5*p(k) - u(k). Let t(m) = 0. What is m?
-10, -1, 4/3
Let w = -2388 - -157609/66. Let h(g) be the second derivative of 0 + 1/33*g**3 - w*g**4 - 20*g + 0*g**2. What is p in h(p) = 0?
0, 1
Suppose 0 = -4*w + 14 - 2. Suppose 165*y = 153*y + 36. Find f, given that -6*f**4 + 57*f + 7 - y*f**5 + 11 + 60*f**2 + 32*f**3 - 14*f**w = 0.
-2, -1, 3
Solve 408*f**4 - 1044*f**2 - 3*f**5 + 448*f + 76*f**3 + 22*f**5 + 240 - 56*f**5 - 98*f**5 + 7*f**5 = 0.
-3/2, -5/16, 1, 2
Find y such that 32*y**2 + 21*y**2 + 3*y**3 + 6*y - 125*y**2 + 81*y**2 = 0.
-2, -1, 0
Let o(t) be the first derivative of 5*t**3/3 + 55*t**2 + 480*t - 2982. Suppose o(a) = 0. Calculate a.
-16, -6
Suppose 5*q = y + 2*y - 33, -y + q = -9. Factor 15*m**3 + 9*m**4 - y*m**4 - 12*m**3.
3*m**3*(m + 1)
Let t(j) be the first derivative of -2*j**3/33 + 13*j**2/11 + 28*j/11 - 1251. Factor t(y).
-2*(y - 14)*(y + 1)/11
Let j(c) = 68 - 31 + 10*c - 24 + c**2. Let t be j(-12). Factor 3*q**2 + 2*q**2 - t*q + 32*q.
5*q*(q - 1)
Let o(c) = -8*c + 74. Let h be o(9). Suppose -3 - 2*p + 4 - 8*p**h + 7 - 4*p**3 + 6*p = 0. Calculate p.
-2, -1, 1
Suppose 6 = 2*j, -5*p = -8*p - 5*j - 249. Let b = p + 441/5. Factor -b*w**3 - 7/5*w**2 + 1/5*w + 7/5.
-(w - 1)*(w + 1)*(w + 7)/5
Let l(f) be the second derivative of -62/3*f**3 + 31/5*f**5 - 2/15*f**6 - 132*f + 0 + 0*f**2 + 1/3*f**4. Factor l(s).
-4*s*(s - 31)*(s - 1)*(s + 1)
Let i(w) be the first derivative of w**4/2 - 958*w**3/3 + 955*w**2 - 954*w - 1875. Factor i(z).
2*(z - 477)*(z - 1)**2
Let n be (4 - 5)*(476/(-85))/1. Let y be (-32)/(-14) + 2/(-7). Find h, given that 16/5 + n*h + 6/5*h**y = 0.
-4, -2/3
Let z(t) = -t**3 + 3*t**2 - t + 16. Let x be z(3). Suppose -x*p + 12*p = -3*h + 8, 0 = -h - 4*p - 6. Factor 1 - 1/2*j**3 + 2*j**h - 5/2*j.
-(j - 2)*(j - 1)**2/2
Let m(i) be the second derivative of 3*i - 19 - 35/2*i**3 + 5/12*i**4 + 50*i**2. Let m(y) = 0. Calculate y.
1, 20
Suppose -59*q - 72 = -47*q. Let o be (-48)/32*16/q. Solve 1/6*j**o - 5/6*j**3 + 3/2*j**2 - 7/6*j + 1/3 = 0.
1, 2
Solve -5016*d**5 + 6*d**3 - 8*d**4 + 2497*d**5 + 48 + 2517*d**5 + 104*d + 68*d**2 = 0 for d.
-2, -1, 3
Let g(y) be the second derivative of 149*y + 0*y**2 + 0*y**3 + 0 + 1/120*y**6 + 1/48*y**4 - 1/40*y**5. Find p such that g(p) = 0.
0, 1
Let z(t) be the first derivative of 3*t**5/5 + 69*t**4/2 - 719*t**3 - 43056*t**2 + 1168128*t + 9472. Let z(f) = 0. What is f?
-39, 16
Let u(h) = h**3 - 7*h**2 - 2*h - 46. Suppose f - 20 = -4*z, -5*f + 5*z - z = -28. Let d be u(f). Factor 4/9*m**3 + 2/9*m**4 + 0*m + 0 + 2/9*m**d.
2*m**2*(m + 1)**2/9
What is f in -686*f + 0*f**2 - f**2 - 420*f - 305809 = 0?
-553
Solve -1 - 93*t**3 + 22*t - 119*t**3 + 184*t**3 - 32*t**2 + 6*t**5 + 26*t**4 + 11 - 4*t**2 = 0.
-5, -1, -1/3, 1
Determine z, given that 157*z**3 - 250 + 9*z**2 - 2*z - 2*z + 219*z**2 + 22 - 153*z**3 = 0.
-57, -1, 1
Let n(f) be the first derivative of f**4/28 + 39*f**3/7 + 1488*f**2/7 - 3844*f + 3176. Determine p, given that n(p) = 0.
-62, 7
Let h(z) be the third derivative of z**8/3360 - z**7/2520 - z**6/720 - 5*z**4/24 + 3*z**3/2 - 125*z**2. Let r(u) be the second derivative of h(u). Factor r(m).
m*(m - 1)*(2*m + 1)
Let w(t) be the third derivative of t**8/560 + 37*t**7/175 + 1751*t**6/200 + 6617*t**5/50 + 417*t**4/2 - 2340*t**3 + 10084*t**2. Suppose w(p) = 0. Calculate p.
-30, -13, -2, 1
Let x(z) be the first derivative of 0*z + 40/3*z**3 + 1/4*z**4 + 200*z**2 + 71. Determine g so that x(g) = 0.
-20, 0
Let q(o) be the third derivative of -5*o**8/1008 - 323*o**7/630 - 8*o**6/15 + 2959*o**2. Solve q(b) = 0 for b.
-64, -3/5, 0
Suppose -4*l = 3*t - 4*t + 34, -2*l = -2*t + 20. Let w be 4/l*-2 - -1. Determine j so that -5*j**2 + 4*j**2 - 2*j**w = 0.
0
Suppose 323*p - 996 = -175*p. Suppose -1/7*n**p - 576/7 + 48/7*n = 0. Calculate n.
24
Suppose 1532*d = 1411*d + 9075. Factor -25/2*t**3 - 135/2*t**2 - d*t - 20.
-5*(t + 1)*(t + 4)*(5*t + 2)/2
Let h = -12469/132 - -1040/11. Let q(m) be the first derivative of 0*m**3 - 4 - h*m**4 + 0*m + 1/6*m**2. Solve q(u) = 0.
-1, 0, 1
Suppose -20 = p - 25. Suppose p*h = 2*l - 13, l + 3*l - 41 = -5*h. Solve l*m - m - 8 - 4*m**2 + 2*m + 2*m = 0 for m.
1, 2
Let y(s) be the second derivative of 221/3*s**3 - 338*s**2 + 1/10*s**5 + 5*s + 1 - 14/3*s**4. Factor y(g).
2*(g - 13)**2*(g - 2)
Suppose -1/2*y + 11/2*y**2 - 11/2 + 1/2*y**3 = 0. Calculate y.
-11, -1, 1
Let v(j) be the third derivative of j**5/30 - 35*j**4/6 + 136*j**3/3 - 582*j**2. Determine r so that v(r) = 0.
2, 68
Let v be -4 + 7*(-2 - (-80)/28). Suppose h = 3*a - 1, 0 = v*a - 51*h + 47*h + 16. Factor 1/4*s**3 - 1/8*s**a + 0 - 1/8*s**4 + 0*s.
-s**2*(s - 1)**2/8
What is k in 216*k**4 - 17*k**4 - 636*k**3 + 1600*k + 11*k**4 - 4*k**5 - 48*k**4 - 62*k**4 + 860*k**2 = 0?
-1, 0, 5, 16
What is d in -93*d - 1/4*d**2 - 8649 = 0?
-186
Factor 34*o - 119*o**2 + 235*o**2 + 84*o + 158*o - 1040 - 120*o**2.
-4*(o - 65)*(o - 4)
Let j(t) be the first derivative of 3*t**5/5 - 81*t**4/4 + 109*t**3 + 81*t**2/2 - 330*t + 107. Determine s so that j(s) = 0.
-1, 1, 5, 22
Suppose -3*i - 18 = 3*b - 42, -3*i + 19 = 2*b. Factor 6*x**2 - 23*x**2 + 4*x + 8*x**2 - x**i + 12*x**2.
-x*(x - 4)*(x + 1)
Let s(j) = 4*j**2 - 407*j - 1689. Let k be s(-4). Factor 8/3 - 8/3*f**2 - 2/9*f + 2/9*f**k.
2*(f - 12)*(f - 1)*(f + 1)/9
Find x such that 16/7*x - 18/7*x**2 + 0 + 2/7*x**3 = 0.
0, 1, 8
Let j(m) = m**3 + 8*m**2 - 20*m + 2. Let b be j(-10). Factor -10*w**3 - 6 + 6*w**3 - 26 + 53*w - 4*w**b - 13*w.
-4*(w - 2)*(w - 1)*(w + 4)
Factor 3/8*o**4 + 0 + 63/8*o + 93/8*o**2 + 33/8*o**3.
3*o*(o + 1)*(o + 3)*(o + 7)/8
Let j = 318 + -549. Let r = j - -233. Factor 0 - 2/9*p**r + 2/9*p.
-2*p*(p - 1)/9
Suppose 8*a - 12 = 61 + 151. Let t(w) be the second derivative of 1/30*w**5 - 4/3*w**2 + 0 + 1/6*w**4 + a*w + 0*w**3. Solve t(q) = 0 for q.
-2, 1
Let k be (-34)/((6/(-60))/(2/(-8))). Let g = 120 + k. Factor -4*y**2 + 48 + 7*y - g*y**3 + 19*y**3 + 25*y + 12*y**3.
-4*(y - 3)*(y + 2)**2
Let f(w) be the second derivative of -1/42*w**7 + 0*w**4 + 0*w**2 + 36*w - 1/24*w**6 + 0*w**3 + 0 + 0*w**5. Factor f(b).
-b**4*(4*b + 5)/4
Let h(z) be the second derivative of -z**6/150 - 39*z**5/100 - 83*z**4/10 - 226*z**3/3 - 180*z**2 + 804*z + 3. Suppose h(l) = 0. What is l?
-18, -10, -1
Let b(w) be the third derivative of -w**6/1800 + 11*w**5/600 - 3*w**4/20 + 19*w**3/6 - 61*w**2. Let g(d) be the first derivative of b(d). Factor g(t).
-(t - 9)*(t - 2)/5
Factor 3/2*a**2 - 129*a + 0.
3*a*(a - 86)/2
Let h(f) be the first derivative of -f**3/6 - 727*f**2/4 - 725*f - 12920. Factor h(z).
-(z + 2)*(z + 725)/2
Let z(m) be the third derivative of -m**7/1260 - m**6/90 - m**5/15 + 7*m**4/3 + 16*m**2 - 1. Let f(j) be the second derivative of z(j). What is c in f(c) = 0?
-2
Let z(r) be the second derivative of -r**7/14 + 7*r**6/10 + 33*r**5/20 - 23*r**4/4 - 5*r**3 + 24*r**2 + 1864*r. Find c such that z(c) = 0.
-2, -1, 1, 8
Solve 4*o**4 + 3*o**4 + 20*o**3 - o - 3*o**4 - 41 - 19*o + 25 + 12*o**2 = 0 for o.
-4, -1, 1
Let q(f) be the first derivative of -11*f**4/5 + 608*f**3/15 - 934*f**2/5 - 72*f - 1140. Determine x so that q(x) = 0.
-2/11, 5, 9
Let j(v) = 49*v**2 + 15*v + 144. Let w(l) = -6*l**2 + l - 3. Let u(p) = -j(p) - 8*w(p). Factor u(c).
-(c + 8)*(c + 15)
Factor 323/9*u - 1/9*u**2 + 36.
-(u - 324)*(u + 1)/9
Let w be -2*(-6)/(-28) - (-243)/126. Let h = -1/1173 - -3521/2346. Factor -3 + h*m**2 - w*m.
3*(m - 2)*(m + 1)/2
Suppose 2*z - 38 = 2. Suppose z = -k + 5*k. Solve -6*o**2 - 6*o + 2*o**3 - 15 - 12*o + 0*o**3 + k = 0.
-1, 5
Let h(k) be the second derivative of -114*k + 0*k**2 + 2/15*k**4 - 1/75*k**6 + 0 - 4/15*k**3 + 1/50*k**5. Factor h(u).
-2*u*(u - 2)*(u - 1)*(u + 2)/5
Let u(m) = 3*m**2 + 21*m + 122. Let a(v) = -14*v**2 - 85*v - 489. Let k(b) = -2*a(b) - 9*u(b). Find r, given that k(r) = 0.
-5, 24
Let o(c) = -c**3 - c**2 + 25*c - 10. Let i be o(6). Let v be (28/i)/(-1 + 10/12). Factor 9/2*y**2 - v*y**4 + 0 + 3*y + 0*y**3.
-3*y*(y - 2)*(y + 1)**2/2
Solve 4/15*t + 2/3*t**2 - 46/3 = 0.
-5, 23/5
Determine l, given that -2759*l**2 + 207*l - 2782*l**2 + 8278*l**2 - 3*l**3 - 2779*l**2 - 162 = 0.
-18, 1, 3
Determin