20*g**2 - 34 - 103*g**3 - x*g - 18*g**2 = 0 for g.
1, 17
Let m(b) be the second derivative of 3/14*b**5 + 1/147*b**7 + 1/15*b**6 + 0*b**2 - 42 + 3/14*b**4 + 2*b + 0*b**3. Let m(s) = 0. What is s?
-3, -1, 0
Let -3872*r**4 + 1952*r**4 + 1921*r**4 - 80*r**2 + 84*r + 115 - 3*r**3 + 45 = 0. What is r?
-8, -1, 2, 10
Let a(s) be the first derivative of -2/3*s**4 + 8 - 12*s - s**3 + 0*s**2. Let j(n) be the first derivative of a(n). Find z, given that j(z) = 0.
-3/4, 0
Let -4*a**2 - 16*a + 4/7*a**3 - 80/7 = 0. Calculate a.
-2, -1, 10
Suppose -5*d = 4*t - 115, 0 = 5*d - 17*t + 20*t - 115. Suppose 20 = -w + d. Suppose -15/8*i**2 - 3/8*i**w + 0*i + 0 = 0. What is i?
-5, 0
Let k(g) be the first derivative of 1/9*g**6 + 10/9*g**3 - 7/6*g**4 + 2*g**2 + 0*g - 2/3*g**5 - 241. Suppose k(t) = 0. Calculate t.
-1, 0, 1, 6
Let k(d) = 5*d**2 - 8*d - 1. Let j(s) = -s**2 + s + 1. Suppose -16*b = -23*b + 35. Let v(t) = b*k(t) + 20*j(t). Find i, given that v(i) = 0.
1, 3
Suppose -5*s = 4*x + 128, 0 = 3*x + 2*s - 5*s + 96. Let b(p) = p**2 + 31*p - 28. Let m be b(x). Factor -y**m + 0 - 1/4*y - 1/4*y**5 - 3/2*y**3 - y**2.
-y*(y + 1)**4/4
Suppose 0 = 4*x - 3*m - 52, x - 5*m + 6 = 19. Let a be x/(-130) + 3/5. Find z such that 7*z**2 + 50*z**4 - 65/2*z**3 - a*z + 0 = 0.
0, 1/5, 1/4
Let c(q) = -2*q**3 - 89*q + 8*q**2 - 6 + 113*q - 2*q**2 - 11. Let y be c(5). Determine w so that 27/2*w**3 + 0 + 27/4*w**4 - y*w**5 + 9/2*w - 87/4*w**2 = 0.
-2, 0, 1/4, 1, 3
Let b(c) = -20*c**3 - 258*c**2 - 137*c + 106. Let x(a) = 9*a**3 + 129*a**2 + 69*a - 54. Let h(m) = 3*b(m) + 5*x(m). Determine v, given that h(v) = 0.
-8, -1, 2/5
Factor 125 + 47*o - 176 - 101*o - 3*o**2.
-3*(o + 1)*(o + 17)
Let x be (7 + -39)/(2/8*-2). Suppose -6*h + 2*h**2 - 163 + 79 + x = 0. Calculate h.
-2, 5
Factor 2/7*v**4 - 162/7*v**2 - 648/7 + 594/7*v + 6/7*v**3.
2*(v - 3)**3*(v + 12)/7
Let h(w) = 2*w**2 + 5*w - 16. Let j be h(2). Let z(b) be the first derivative of 1/6*b - 9 + 1/18*b**3 + 1/6*b**j. Let z(k) = 0. What is k?
-1
Let g be (-1031)/(-5)*(-4)/(-140). Let c = g - 33/25. Solve -c*x**5 - 22/7*x - 86/7*x**2 - 2/7 - 16*x**4 - 146/7*x**3 = 0 for x.
-1, -1/4
Let u = 17137 - 17137. Let d(q) be the third derivative of -5/48*q**4 + 0*q + u + 32*q**2 - 1/240*q**6 - 1/6*q**3 - 1/30*q**5. Factor d(c).
-(c + 1)**2*(c + 2)/2
Let z(v) be the first derivative of -v**5/15 + 5*v**4/4 - 26*v**3/3 + 80*v**2/3 - 32*v - 1513. Factor z(j).
-(j - 6)*(j - 4)**2*(j - 1)/3
Factor 68 - 106/3*g + 2/3*g**2.
2*(g - 51)*(g - 2)/3
Suppose -22*l + 140 = 13*l. Let q be 576/480*2/l. Let 0*c**2 + q*c**5 + 3/5*c**3 + 0 + 6/5*c**4 + 0*c = 0. What is c?
-1, 0
Let u(r) = r**2 + 99*r - 304. Let i be u(-102). Let l(v) be the first derivative of -3/16*v**4 - 3/2*v + 0*v**3 + 9/8*v**i - 26. What is z in l(z) = 0?
-2, 1
Let n = -864 + 1472. Let -108 - 117 - t**4 - 188*t - 28*t**3 - 166*t**2 + n*t = 0. Calculate t.
-15, 1
Let p be 115863/(-165)*-1*(-2 + 3). Let r = -701 + p. Factor r*n**2 + 0 + 3/5*n.
3*n*(2*n + 1)/5
Let x be (968/308)/(8/28). Let m(l) be the third derivative of 3*l**3 - 5/4*l**4 - 1/60*l**6 - x*l**2 + 7/30*l**5 + 0 + 0*l. Factor m(r).
-2*(r - 3)**2*(r - 1)
Factor 64*l**2 - 84*l**2 - 64 - l**3 + 163*l - 75*l - 3*l**3.
-4*(l - 2)*(l - 1)*(l + 8)
Determine u, given that 146/5*u**2 - 152/5 + 6/5*u**4 + 458/5*u**3 - 458/5*u = 0.
-76, -1, -1/3, 1
Let i(t) = -1157*t + 535693. Let q be i(463). Let -6*w**q - 5*w**3 - 4/3*w + 0 + 25/6*w**4 = 0. Calculate w.
-2/5, 0, 2
Factor 17/3 - 103/9*c**2 + 50/9*c + 2/9*c**3.
(c - 51)*(c - 1)*(2*c + 1)/9
Suppose 0 = -1344*h + 1329*h. Let v(w) be the second derivative of -9/11*w**2 + 17*w + h - 4/11*w**3 - 1/22*w**4. Determine j so that v(j) = 0.
-3, -1
Suppose 0 = 3733032*v - 3733156*v. Find t, given that v*t - 392/3*t**2 - 28/3*t**3 - 1/6*t**4 + 0 = 0.
-28, 0
Let t(m) be the first derivative of -3*m**4/4 + 101*m**3 - 8085*m**2/2 + 21609*m + 6665. Suppose t(j) = 0. What is j?
3, 49
Let o(r) be the first derivative of 4 + 4*r**2 - 7/9*r**3 - 3*r. Let o(n) = 0. Calculate n.
3/7, 3
Let n be ((-1)/5 - 3/(-15))/(-2). Suppose 4*c + n*c = -3*y + 14, y - 4*c = -6. Suppose 114*h + 5*h**y + 110*h + h**4 - 226*h - 4*h**3 = 0. What is h?
0, 1, 2
Let l(g) = -g**2 + 17*g - 28. Let v be l(14). Suppose v*f - 9*f - 200 = 0. Factor 23*w + 5*w**3 + 19*w - 30*w**2 - 18*w + 36*w - f.
5*(w - 2)**3
Suppose -2*d = 3*v - 812, 5*v = 4*d + 766 + 580. Let a be (-2856)/v + 10 + (-4)/(-5). What is o in -4/9 + 2/9*o**3 + 2/3*o**2 - a*o - 2/9*o**4 = 0?
-1, 1, 2
Suppose -21 = -5*a + 267*b - 263*b, 5*b = -2*a + 15. Let -2/11*l**a - 12/11*l**4 + 0 - 12/11*l**2 - 2*l**3 + 0*l = 0. What is l?
-3, -2, -1, 0
Let c = -27 + 31. Suppose c*z + 20 = 9*z. Suppose -12*p + 49*p**3 - 5*p**2 + 26*p**3 + 2*p + 35*p**5 - 27*p**4 - 68*p**z = 0. Calculate p.
-2/7, 0, 1
Suppose 10*s - 61 + 41 = 0. What is l in -64 + 17*l**s + 8 - 4*l**3 - 5*l**2 + 36*l + 7*l**2 + 5*l**2 = 0?
-2, 1, 7
Let y = -270 - -273. Suppose -y*n = 3, -3*n = j - 2*j + 5. Factor 0 + 6/11*m**3 + 18/11*m**j - 24/11*m.
6*m*(m - 1)*(m + 4)/11
Let t(h) = -6*h**4 - 4*h**3 - 23*h**2 + 32*h + 101. Let b(f) = f**4 - f**3 + f**2 - 1. Let o(y) = 5*b(y) + t(y). Solve o(x) = 0 for x.
-4, -3, 2
Let v(z) be the second derivative of -5*z**4/48 + 215*z**3/24 - 75*z**2 + 1269*z. Solve v(g) = 0.
3, 40
Let z be (-6)/4*(-2300)/(-138). Let v(r) = -r**2 - 21*r + 102. Let i be v(z). Factor -20/3*g**3 - 10/3*g + 5/3*g**4 + 0 + 25/3*g**i.
5*g*(g - 2)*(g - 1)**2/3
What is c in -699*c**3 + 162*c**5 + 6*c**4 + 348*c**4 - 84*c**5 + 348*c**2 - 81*c**5 = 0?
0, 1, 116
Let x(z) be the first derivative of 5*z**6/6 - 11*z**5 + 155*z**4/4 - 35*z**3 + 1217. Find n such that x(n) = 0.
0, 1, 3, 7
Suppose 86 = -o + 535. What is v in 7*v**5 - o*v**2 + 461*v**2 - v + 9*v**5 + 5*v - 12*v**4 - 20*v**3 = 0?
-1, -1/4, 0, 1
Let m(l) be the first derivative of 2*l**3/3 - 9*l**2 - 180*l - 475. Factor m(j).
2*(j - 15)*(j + 6)
Let y(j) be the first derivative of -24*j**2 - 26*j + 25 + 8/3*j**3 - 1/9*j**4. Let z(t) be the first derivative of y(t). Factor z(n).
-4*(n - 6)**2/3
Let h be 104/(-32)*(-184)/161*3. Determine p, given that -9/7*p**4 + 3/7*p**5 + 27/7 - 81/7*p - 18/7*p**3 + h*p**2 = 0.
-3, 1, 3
Let a(g) = -25*g**2 - 2522*g + 990. Let z(u) = 75*u**2 + 7563*u - 2965. Let d(y) = -19*a(y) - 6*z(y). Factor d(b).
5*(b + 102)*(5*b - 2)
Let o be (-13)/(-6) - ((-2)/(-4) - -1). Let y = -223/6 - -77/2. Factor o*b + y - 2/3*b**3 - 4/3*b**2.
-2*(b - 1)*(b + 1)*(b + 2)/3
Let i be 53 + -49 + (-110)/55. Factor 68/3*v + 2/3*v**i - 70/3.
2*(v - 1)*(v + 35)/3
Let v(w) = -13*w**4 - 6*w**3 + 3*w**2 + 4*w. Let j(t) = 37*t**4 + 16*t**3 - 7*t**2 - 12*t. Let h(n) = -6*j(n) - 17*v(n). Factor h(k).
-k*(k - 4)*(k - 1)**2
Find n such that -527*n + 40*n**2 - 15*n**2 - 88*n - 21*n**2 + 155*n - 936 = 0.
-2, 117
Suppose -m = 8*m - 36. Suppose -207 = -4*w - t, m*t - 261 = -5*w + 2*t. Factor 147 - w - 23*y**2 + 48 - y**3 - 120*y.
-(y - 1)*(y + 12)**2
Let a be ((-3)/77)/((-42)/(8 - -6)). Let o = a + 141/1001. Factor -o*d**2 - 2/13*d**3 + 2/13*d + 2/13.
-2*(d - 1)*(d + 1)**2/13
Suppose 2*k = 6*d, -27*d - 16 = -32*d - k. Let n(r) be the third derivative of 1/10*r**3 - d*r**2 + 49/25*r**5 + 0*r - 7/10*r**4 + 0. Factor n(m).
3*(14*m - 1)**2/5
Let v(c) be the second derivative of -2*c**7/21 - 118*c**6/15 + 122*c**5/5 - 2*c**4/3 - 242*c**3/3 + 122*c**2 + 6335*c. Factor v(x).
-4*(x - 1)**3*(x + 1)*(x + 61)
Let m = 7543/10356 - -56/2589. Factor 3/2 - m*i - 3/4*i**2.
-3*(i - 1)*(i + 2)/4
Suppose 2*v - 2*d - 10 = 0, 0 = -4*v - v + 3*d + 19. Factor -4*f**3 - 5 - 51 - 48*f**v + 45*f + 63*f.
-4*(f - 1)**2*(f + 14)
Let g(h) be the first derivative of -19*h**5 + 70*h**4/3 + 290*h**3/9 - 140*h**2/3 - 5*h/3 + 4519. Determine v, given that g(v) = 0.
-1, -1/57, 1
Let r = 9527/4 - 2380. Let p(q) be the first derivative of -3 + 1/2*q - 29/12*q**3 + r*q**4 - 1/8*q**2. Factor p(g).
(g - 1)*(4*g + 1)*(7*g - 2)/4
Suppose -11 = 3*s - 53. Let q(d) = d**3 + d**2 + d + 1. Let t(p) = 8*p**3 - 16*p**2 + 50*p - 14. Let v(m) = s*q(m) - 2*t(m). Factor v(x).
-2*(x - 21)*(x - 1)**2
Let i(j) be the third derivative of j**7/3360 + 11*j**6/1440 + j**5/12 + j**4/2 - 16*j**3/3 + 72*j**2. Let f(s) be the first derivative of i(s). Factor f(g).
(g + 3)*(g + 4)**2/4
Let f(t) = 4*t**3 + 8*t**2 + 2*t - 6. Let c be (