 -40*a**4 - 102*a**3 - 450*a**2 - 346*a + 12. Let p(l) = 6*l**4 - l**3 - l**2 - l - 2. Let t(d) = m(d) + 6*p(d). Let t(w) = 0. What is w?
-22, -4, -1, 0
Let j(b) be the second derivative of -b**5/70 + 13*b**4/14 + 46*b**3/21 - 240*b**2/7 + 8153*b. Suppose j(w) = 0. What is w?
-3, 2, 40
Let c = 1402 + -1398. Let r(n) be the first derivative of -c + 5/2*n**2 - 5/3*n**3 + 0*n. Factor r(s).
-5*s*(s - 1)
Let g(y) = -3*y**3 + 30*y**2 - 30. Let l(b) = 3*b**3 - 30*b**2 + b + 30. Suppose 4 = a + 1. Let r(k) = a*l(k) + 4*g(k). Factor r(u).
-3*(u - 10)*(u - 1)*(u + 1)
Let -116/7*n**2 + 2/7*n**4 + 80/7*n + 34/7*n**3 + 0 = 0. Calculate n.
-20, 0, 1, 2
Let m be (13 - -2)*(-1)/(-30 + 28). Solve -5/2*j**3 - m*j - 25/2*j**2 + 45/2 = 0.
-3, 1
Let t be -56 + (-573)/171*-19. Factor t*p**2 + 121/3 - 1/3*p**3 - 143/3*p.
-(p - 11)**2*(p - 1)/3
Let d(r) be the second derivative of 24*r**5/5 + 46*r**4/3 - 10*r**3/3 - 4*r**2 + 1590*r. Factor d(p).
4*(p + 2)*(4*p - 1)*(6*p + 1)
Suppose 163*f - 141*f - 132 = 0. Suppose -5*x + f = -3*w, -18 = -4*x + 2*x - 4*w. Factor 0 + 0*r - 1/4*r**x + 0*r**2 + 1/4*r**4.
r**3*(r - 1)/4
Let q(g) = -g**3 - 19*g**2 + 122*g + 1092. Let v(c) = -19*c**3 - 366*c**2 + 2319*c + 20744. Let l(f) = 39*q(f) - 2*v(f). Factor l(b).
-(b - 11)*(b + 10)**2
Let m(c) be the first derivative of 76 - 32/3*c**2 + 4/5*c**5 + 32/3*c**3 + 0*c - 13/3*c**4 - 1/18*c**6. Solve m(r) = 0.
0, 2, 4
Let w(z) = 8*z**2 - 53*z + 3. Let n(i) = -17*i**2 + 72*i - 7. Let o(b) = 3*n(b) + 7*w(b). Find p, given that o(p) = 0.
0, 31
Let g(n) = -34*n**2 + 5*n - 26. Let p be g(5). Let m = 851 + p. Suppose -1/3*t**2 + 0 + m*t = 0. What is t?
0
Factor 0 + 0*t**2 + 0*t + 96*t**3 - 1/2*t**4.
-t**3*(t - 192)/2
Suppose 0 = 5*w + 20, -5*q + 37 = -w - 52. Suppose -q = -2*s + 25. Determine t so that s*t**4 - 3*t**4 + 48*t - 132*t**3 + 22*t**2 - 3*t**4 + 8 + 39*t**4 = 0.
-1/3, -2/9, 1, 2
Let y = -67 + 70. Suppose -y*b - 3 = 2*c, -c - 5*b - 27 = -5*c. Factor 4*r**4 + 6*r**3 + 3*r**3 + 2*r**3 - 3*r**c.
4*r**3*(r + 2)
Let h(s) be the first derivative of s**7/210 - s**6/90 - 2*s**5/15 + 2*s**4/3 - 8*s**3/3 - s - 54. Let m(c) be the third derivative of h(c). Factor m(n).
4*(n - 2)*(n - 1)*(n + 2)
Suppose 20 = -2*j + b, -3*j + 56*b - 20 = 52*b. Let x be -1*((-6)/16)/((-9)/j). What is a in -a**2 - 7/4*a + x = 0?
-2, 1/4
Find c such that -156/5*c + 2*c**2 - 64/5 = 0.
-2/5, 16
Suppose 204 = -906*l + 907*l. Let i be 4/(-16)*-5 - (-289)/l. Determine h, given that 4*h**3 + 0 - 20/3*h**2 - 4/3*h**5 + i*h + 4/3*h**4 = 0.
-2, 0, 1
Let i = -8 - -11. Let s(h) = -h**3 - 13*h**2 - h + 16. Let r be s(-13). Find z such that 1 + r*z**3 + 250*z + z**i + 150*z**2 + 2*z**4 - 1 = 0.
-5, 0
Factor -298 + 36*j + 73*j**3 + 4*j**5 + 28*j**4 + 169 + 129 + 84*j**2.
j*(j + 2)**2*(2*j + 3)**2
Let q(h) = -11*h**2 - 29*h - 12. Let p(z) = 9*z**2 + 27*z + 13. Let b(w) = 6*p(w) + 5*q(w). Solve b(m) = 0 for m.
-1, 18
Let a = -161 - -215. Solve a + 49 - 76*s - 68*s**2 - 111 = 0.
-1, -2/17
Let w = -29875/71 - 82987/1207. Let o = w + 490. Factor -8/17*v + o + 2/17*v**2.
2*(v - 2)**2/17
Suppose 3 = 5*c + 2*g - 42, 3*c - 27 = 3*g. Factor -3*a + 7*a - c*a - 4 - a**2 + 0.
-(a + 1)*(a + 4)
Let v(m) = 2*m**2 - 360*m + 8512. Let y be v(152). Solve 0*r + r**3 + 1/4*r**4 + y + 3/4*r**2 = 0.
-3, -1, 0
Let l = 1027830 - 1027826. Let 1/3*n**5 - 6*n**l + 64/3*n + 97/3*n**3 + 0 - 48*n**2 = 0. Calculate n.
0, 1, 8
Suppose -675930 = -35*c - 675755. Factor -9/2*b**2 - 3*b + 0 + 21/2*b**4 + 9/2*b**c + 9/2*b**3.
3*b*(b + 1)**3*(3*b - 2)/2
Suppose -3*b + 690*k - 9 = 687*k, 3*k = 18. Find z, given that 0 - 2/9*z**5 - 46/9*z**2 + 20/9*z - 2/9*z**4 + 10/3*z**b = 0.
-5, 0, 1, 2
Let x be 3*(-132)/8118*-82. Let 10*t**2 - 15/2*t**5 + 0 + 0*t + 30*t**3 - 5/2*t**x = 0. Calculate t.
-2, -1/3, 0, 2
Let n(c) be the second derivative of 43*c - 36/5*c**2 + 1/50*c**6 + 14/5*c**3 - 3/10*c**4 + 0 - 9/100*c**5. Factor n(d).
3*(d - 2)**3*(d + 3)/5
Solve 20836*h - 467 - 548 + 5*h**2 - 20946*h = 0 for h.
-7, 29
What is r in 129*r**2 - 2*r**3 - 336*r - r**3 + 90*r**2 - 153*r**2 = 0?
0, 8, 14
Let o = 839518/7 - 119931. Find b, given that 0*b - 2/7*b**2 + 2/7*b**4 + o*b**3 + 0 - 1/7*b**5 = 0.
-1, 0, 1, 2
Let r(p) = 3*p**3 - 594*p**2 + 19984*p - 145808. Let b(w) = 35*w**3 - 7130*w**2 + 239810*w - 1749700. Let h(k) = 2*b(k) - 25*r(k). Factor h(n).
-5*(n - 54)**2*(n - 10)
Let 9/4*q**3 - 93/2*q**2 - 57/2 + 291/4*q = 0. What is q?
2/3, 1, 19
Solve -5/4*r**5 - 18635*r**3 + 446600*r**2 - 392000*r + 1055/4*r**4 - 857500 = 0.
-1, 2, 70
Let d = 2249276/3 + -749758. Suppose -16/3*c**2 - 10/3*c + 100/3 - d*c**3 = 0. What is c?
-5, 2
Let s be (8/(-16) - (-100)/(-24))*-3. Let -8*i**4 - 8*i**3 + 76*i**2 - 112*i - s*i**4 + 36 + 18*i**4 + 12 = 0. What is i?
-6, 1, 2
Let b = -10094834/17 - -593814. Suppose -2/17*k**5 + 0*k + 0 - b*k**2 - 10/17*k**3 - 8/17*k**4 = 0. What is k?
-2, -1, 0
Let k(w) be the first derivative of -10*w**2 - 1/6*w**6 + 5/4*w**4 + 1/2*w**5 + 10*w - 5 - 10/3*w**3. Let m(b) be the first derivative of k(b). Factor m(d).
-5*(d - 2)**2*(d + 1)**2
Let p(m) = -16*m - 2. Let x be p(2). Let t be x/(-9) + (-4)/(-18). Suppose -6*q**2 + 2*q**5 + q**4 + 57*q**3 - 54*q**3 + 5*q**t - 5*q**5 = 0. What is q?
-1, 0, 1, 2
Let u(b) be the third derivative of -b**7/5040 + 29*b**6/1440 - 7*b**4/8 - b**3 + 2*b**2 - 238*b. Let n(f) be the second derivative of u(f). Factor n(h).
-h*(h - 29)/2
Let d(a) be the third derivative of -a**6/780 - a**5/65 + 25*a**4/156 - 6*a**3/13 - 1441*a**2. Factor d(v).
-2*(v - 2)*(v - 1)*(v + 9)/13
Suppose 617*l - 6897 = -934*l - 748*l. Determine t so that 0 - 1/7*t**4 + 2/7*t**l + t**2 + 4/7*t = 0.
-1, 0, 4
Suppose -5*w + 7 = -4*u, 2*w - 1 - 5 = 0. Factor u*y + 22*y**2 - 35*y**2 + 2*y + 17*y**2.
4*y*(y + 1)
Factor -52*m**4 - 294*m**3 - m**5 - 1008*m**3 - 2312*m**2 - 1146*m**3 - 86*m**4 - m**5.
-2*m**2*(m + 1)*(m + 34)**2
Let m(h) = -641*h - 53200. Let r be m(-83). Suppose 32/9*l**r - 2/3*l**4 + 0 + 0*l - 10/9*l**2 = 0. What is l?
0, 1/3, 5
Suppose -47*f - 2637 = -3342. Let r(w) be the second derivative of -f*w - 2 - 1/6*w**7 - 1/4*w**4 + 0*w**3 - 1/20*w**5 + 0*w**2 + 11/30*w**6. Factor r(g).
-g**2*(g - 1)**2*(7*g + 3)
Let x(r) be the second derivative of -1/30*r**5 - 1/360*r**6 + 0*r**2 + 0 + 17/6*r**3 - 1/6*r**4 - 2*r. Let g(l) be the second derivative of x(l). Factor g(m).
-(m + 2)**2
Let -16*s**2 + 70*s - 15*s**2 + 2395*s + 36*s**2 + 699380 + 1275*s = 0. Calculate s.
-374
Suppose -6*v + 24*v = 1764. Solve -75*t**4 - 23 - 32*t - 46*t**2 + 134*t**3 + 31 + v*t**5 + 313*t**4 = 0 for t.
-1, 2/7
Determine t so that -4341/7*t**2 + 6/7 + 4335/7*t = 0.
-2/1447, 1
Suppose 0 = -481*n + 478*n - 12. Let r be ((-108)/882)/(n/112). Factor 2/7*p + r*p**3 - 20/7*p**4 - 12/7*p**2 + 0 + 6/7*p**5.
2*p*(p - 1)**3*(3*p - 1)/7
Let i(x) be the third derivative of -x**5/75 + 33*x**4/2 - 988*x**3/15 + 10*x**2 + 190. What is y in i(y) = 0?
1, 494
Let q(o) = 32*o**5 + 46*o**4 + 314*o**3 + 1188*o**2 + 2310*o + 1740. Let b(d) = 5*d**5 + d**4 - 4*d**2 + d + 2. Let g(t) = 6*b(t) - q(t). Solve g(w) = 0 for w.
-6, -4, -3
Find q such that 43187*q**2 - 137*q - 43191*q**2 - 39*q - 172 = 0.
-43, -1
Let z(l) be the first derivative of -2*l**5/15 + 151*l**4/3 + 616*l**3 + 2790*l**2 + 5598*l + 10074. Solve z(j) = 0.
-3, 311
Let w(c) be the first derivative of -c**4/8 + 17*c**3/6 - 23*c**2/2 - 84*c + 7026. Suppose w(v) = 0. What is v?
-2, 7, 12
Suppose 0 = 4*r + r - 105285. Find z, given that 116*z - 680*z**3 - 5*z**4 + 564*z - 2058*z**2 - r*z**2 + 23120 = 0.
-68, -1, 1
Let x(t) be the third derivative of 23/70*t**7 + 27/20*t**5 - 215*t**2 + 1/4*t**4 + 0*t**3 + 6/5*t**6 + 0 + 0*t. Factor x(g).
3*g*(g + 1)**2*(23*g + 2)
Factor -709*x - 4*x**4 + 84*x**3 + 534*x**2 - 303*x + 2904 - 906*x**2.
-4*(x - 11)**2*(x - 2)*(x + 3)
Let o(z) = -16*z**4 - 21*z**3 + 20*z**2 + 40*z + 11. Let d(g) = 3*g**4 + 4*g**3 - 4*g**2 - 8*g - 2. Let p = 45 + -49. Let h(u) = p*o(u) - 22*d(u). Factor h(v).
-2*v*(v - 2)*(v + 2)**2
Let d(z) be the third derivative of 53*z**7/1470 - 31*z**6/70 + 401*z**5/210 - 41*z**4/14 + 3*z**3/14 - 46*z**2 - 12*z - 3. Suppose d(x) = 0. Calculate x.
1/53, 1, 3
Let b(n) be the third derivative of 1/18*n**4 + 1/18*n**3 + 2*n + 0 + 5*n**2 - 1/36*n**5. Solve b(z) = 0 for z.
-1/5, 1
Let m(c) be the second