/5*g**3 + 901/5*g + 5202/5 + 52/5*g**2.
(g + 17)**2*(g + 18)/5
Suppose -4*t - 3*r + 43 = 0, 5*t + 28*r - 31*r = 47. Suppose 276 - 96 = 3*v. Factor -t*y**3 + 98*y**5 - v*y**2 + 27*y + 18*y - 93*y**5 + 20*y**4.
5*y*(y - 1)**2*(y + 3)**2
Let b = 7407554/555567 + 2/185189. Factor b*i - 12*i**2 - 14/3 + 2/3*i**4 + 8/3*i**3.
2*(i - 1)**3*(i + 7)/3
Factor 0 - 32*f - 636/5*f**2 + 16/5*f**3.
4*f*(f - 40)*(4*f + 1)/5
Factor -4 + f**4 + 10*f**3 + 125*f**2 + 4 + 0 - 109*f**2.
f**2*(f + 2)*(f + 8)
Let f = -680 - -683. Determine d, given that 25*d**2 + 45*d - d**2 + 89*d**3 - 86*d**f = 0.
-5, -3, 0
Factor 62/5*q**2 + 64/5*q + 0 - 2/5*q**3.
-2*q*(q - 32)*(q + 1)/5
Suppose 4*p + f - 17 = 1, -2*f = -20. Suppose 1/9*d**3 + 13/9*d - 2/3 - 8/9*d**p = 0. Calculate d.
1, 6
Let -3*v**2 + 35*v**3 - 12 + 3*v**5 + 36*v + 12 - 11*v**4 - 74*v**3 + 14*v**4 = 0. What is v?
-4, -1, 0, 1, 3
Let t = 3687/329 + -2439/658. Factor -14*q**2 + 0*q - 1/4*q**4 + 0 - t*q**3.
-q**2*(q + 2)*(q + 28)/4
Determine s, given that -17545*s + 338*s**3 - 33275 + 13090*s**2 - 751*s**3 + 155*s**4 + 30*s**4 - 5*s**5 - 734*s**3 - 1303*s**3 = 0.
-1, 5, 11
Let z be (39/6)/(3/12). Suppose -10*p + z = 3*p. Let 10*t + 8 - 15*t - p*t**2 + 11*t = 0. What is t?
-1, 4
Suppose 3*x**3 + 44 - 2531*x + 2450*x + 118 = 0. What is x?
-6, 3
Suppose -2*u - 8 = -4*d + 6, 4*d = -2*u - 46. Let b = 18 + u. Find n such that -2/7*n**4 + 6/7*n**2 - 4/7*n**b + 0 + 0*n = 0.
-3, 0, 1
Let s(i) be the second derivative of 0*i**2 - 10/9*i**4 + 4/63*i**7 + 0*i**3 + 3/5*i**5 + 14/15*i**6 + 30*i + 4. Determine c so that s(c) = 0.
-10, -1, 0, 1/2
Let n = -543430 - -3804012/7. Determine y, given that 0 + 72/7*y - 22/7*y**3 - 48/7*y**2 - n*y**4 = 0.
-6, 0, 1
Let q(v) be the third derivative of 4/15*v**3 - 20*v**2 - 1 + 1/150*v**5 + 0*v - 1/15*v**4. Determine o so that q(o) = 0.
2
Let h be (-420)/(-10) - (1 + -1)/2. Factor -36*t**2 - 44*t + h*t**3 + 22*t**4 + 0 - 25*t**4 + 39 + 2*t.
-3*(t - 13)*(t - 1)**2*(t + 1)
Suppose 5*x - 156 = 34. Let r = -28 + x. Solve -6 + r*c + c + 3*c**2 + 5*c - 13*c = 0.
-2, 1
Suppose 6*r + 18 = 54. Suppose 3*y = -2*x + 34, -5*x + 60 = y - r*y. Factor 91*n**2 - 92*n**2 - x - 107 - 22*n.
-(n + 11)**2
Let z(l) be the first derivative of -20 + 1/15*l**6 - 3/10*l**4 + 0*l**5 + 0*l**2 + 0*l + 4/15*l**3. Factor z(g).
2*g**2*(g - 1)**2*(g + 2)/5
Let p(f) be the first derivative of f**6 + 74*f**5/25 - 113*f**4/10 - 46*f**3/5 + 58*f**2/5 - 16*f/5 - 1962. Let p(m) = 0. What is m?
-4, -1, 1/5, 1/3, 2
Factor 35/6*t**2 + 2401/6 - 1/6*t**3 + 637/6*t.
-(t - 49)*(t + 7)**2/6
Solve 2/7*p**2 + 334/7 - 48*p = 0 for p.
1, 167
Find r such that -6/13*r**3 + 24/13*r - 2/13*r**2 + 8/13 = 0.
-2, -1/3, 2
Let h(g) be the first derivative of -1/24*g**6 + 0*g - 29/16*g**4 - 270 - 9/4*g**2 + 9/20*g**5 + 13/4*g**3. What is w in h(w) = 0?
0, 1, 2, 3
Let i(q) be the first derivative of 400*q - 190*q**2 + 80/3*q**3 + 5/4*q**4 + 79. Suppose i(g) = 0. Calculate g.
-20, 2
Let z(y) = -96*y**4 - 135*y**3 - 489*y**2 - 9*y - 9. Let r(i) = 53*i**4 + 68*i**3 + 245*i**2 + 5*i + 5. Let d(h) = 9*r(h) + 5*z(h). Factor d(w).
-3*w**2*(w + 5)*(w + 16)
Let u(y) = y**4 - y**2 + y - 1. Let x(z) = 7*z**2 - 6*z**4 - z**2 - 6 + 2*z**4 - 2*z**2 + z + 5*z**3. Let o(i) = -6*u(i) + x(i). Find t, given that o(t) = 0.
-1, 0, 1/2, 1
Let o = 1 + 2. Let s(h) = 4*h**3 - 19*h**2 + 12*h - 82. Let w be s(5). What is v in 2*v**o + 0*v - 6*v + 0*v + 4*v**2 + 0*v**w = 0?
-3, 0, 1
Let j(w) = 7*w**2 - 27*w - 598. Let a(v) = -v**2 - 4*v - 1. Let r(k) = -2*a(k) - j(k). Factor r(y).
-5*(y - 15)*(y + 8)
Let f(h) = -306*h + 2759. Let p be f(9). Let z(w) be the second derivative of -25/2*w**3 + 7*w - 3/4*w**p + 0 - 20/3*w**4 + 45*w**2. Factor z(b).
-5*(b + 3)**2*(3*b - 2)
Let t be (-1 - 1)*33/22 - 150. Let a be (-10 - 1539/t)*6*1. Factor 4/17 + a*z + 2/17*z**2.
2*(z + 1)*(z + 2)/17
Let n(q) be the first derivative of 3*q**4/4 - 6*q**2 + 1118. Determine f so that n(f) = 0.
-2, 0, 2
Let i(s) be the second derivative of 5/24*s**4 + 1/180*s**6 + 2 - 1/4*s**3 - s + 0*s**2 - 7/120*s**5. Suppose i(t) = 0. Calculate t.
0, 1, 3
Let y(o) be the second derivative of 9/50*o**6 + 7/10*o**4 + 0 - 3*o - 3/5*o**3 - 12/25*o**5 - 1/35*o**7 + 3/10*o**2. Find p such that y(p) = 0.
1/2, 1
Let p(t) = -40*t**2 + 4482*t - 221. Let k be p(112). Factor -3 - 9/4*q**2 + 5*q + 1/4*q**k.
(q - 6)*(q - 2)*(q - 1)/4
Let p(d) be the second derivative of -d**6/45 - 39*d**5/10 - 580*d**4/3 - 3364*d**3/9 - 46*d - 6. Solve p(g) = 0.
-58, -1, 0
Let o = -13 - -18. Suppose 36*x**3 - 6*x - 54 + 28*x**4 - 67*x - 4*x**4 - 56*x - 66*x**2 - 3*x**o = 0. Calculate x.
-1, 2, 9
Let t(f) = 14*f - 3. Let a be t(-3). Let k be 17 - 20 - a/12. Factor -k*o - 1/4*o**3 + 0 + o**2.
-o*(o - 3)*(o - 1)/4
Suppose 0 = 6*g + 164 - 380. Factor -192*w + 192*w**3 + 4 + g*w**4 + 7 + 56*w**2 + 25 + 128*w**2.
4*(w + 3)**2*(3*w - 1)**2
Let r be ((-3216)/440)/67*(1/3)/(5/(-165)). What is x in -3/5*x**2 - 9/5*x**3 + r*x**4 + 9/5*x - 3/5 = 0?
-1, 1/2, 1
Let p(b) be the third derivative of 2/27*b**3 + 5/108*b**4 + 1/540*b**6 - b + 0 - 26*b**2 + 2/135*b**5. Let p(x) = 0. Calculate x.
-2, -1
Let k(z) be the first derivative of -5*z**4/12 + 35*z**3/2 + 55*z**2 + 24*z - 51. Let f(u) be the first derivative of k(u). What is h in f(h) = 0?
-1, 22
Determine r, given that 200*r**2 + 388 + 1179956*r**3 + 492 - 1084*r - 1179952*r**3 = 0.
-55, 1, 4
Let c(a) = 0 - 4 - 12*a + 13*a + 1 + 30*a**2. Let p be c(1). Determine s, given that -125*s - 3 - 22*s**2 + 3 - 5*s**3 - p*s**2 = 0.
-5, 0
Suppose -a - 2*w - 537 = -561, a - w = -9. Factor -3/2 - 1/4*v**a - 5/4*v.
-(v + 2)*(v + 3)/4
Solve 10*l**2 - 6444*l**4 + 6448*l**4 - 20*l**3 - 3*l + l**5 - 14 + 22*l = 0 for l.
-7, -1, 1, 2
Let q(o) be the third derivative of o**7/1470 - 43*o**6/840 - 5*o**5/6 + 162*o**2 + 2*o + 2. Determine v, given that q(v) = 0.
-7, 0, 50
Let g = 1303534/3421761 + -2/1140587. Find q such that -2/21*q**5 + 16/21*q**2 + 0 - 4/21*q**4 + 2/7*q**3 + g*q = 0.
-2, -1, 0, 2
Let j be 1/2*252/462. Let r be 63/(-33) + 3 + 0. Determine s, given that -4/11 - r*s - j*s**2 + 5/11*s**3 = 0.
-1, -2/5, 2
Solve 4096/3 + 224*p**2 + 2944/3*p + 40/3*p**3 - 2/3*p**4 = 0 for p.
-4, 32
Suppose 10*b + 4 = 11*b. Suppose 0*y - b*y = 20, -4*j + 2*y = -18. Factor -25*l**j - 3*l + 8*l + 20*l**2.
-5*l*(l - 1)
Let g be 9*(-7 + (-1088)/(-144)). Let y(u) be the third derivative of 0*u + 34*u**2 + 1/10*u**g + 2*u**3 + 7/8*u**4 - 1/40*u**6 + 0. Factor y(k).
-3*(k - 4)*(k + 1)**2
Let k(p) be the first derivative of -2*p**3/39 + 316*p**2/13 - 49928*p/13 - 1923. Factor k(b).
-2*(b - 158)**2/13
Let d = -773862/7 - -110553. Factor -d*q**2 - 16/7 + 1/7*q**3 + 24/7*q.
(q - 4)**2*(q - 1)/7
Let p = -75 - -51. Let r = 27 + p. Factor 4*y**3 - 3*y**3 - 4*y**3 - r*y**2.
-3*y**2*(y + 1)
Solve 256*t + 2*t**3 - 21*t**2 - 43*t**2 + 3*t**3 - t**3 + 0*t**3 = 0.
0, 8
Let z = 17327 + -952967/55. Let v(p) be the first derivative of 4/11*p - 25/22*p**4 - 3/11*p**2 - z*p**5 - 11 - 14/11*p**3. Suppose v(d) = 0. What is d?
-1, 2/9
Let a be 1560/91 - (-3)/(-21). Factor -4*r**3 - 55*r + 4*r**3 - 240 - a*r + 10*r**3 + 9*r**2 - 7*r**3.
3*(r - 5)*(r + 4)**2
Let p(f) be the third derivative of 0*f - 1/8*f**6 + 1/35*f**7 + 0 + 191*f**2 + f**4 + 0*f**3 - 7/10*f**5. Let p(n) = 0. Calculate n.
-2, 0, 1/2, 4
Let k(n) be the third derivative of 61*n**2 + 2/13*n**3 - 1 + 1/390*n**5 - 7/156*n**4 + 0*n. Factor k(p).
2*(p - 6)*(p - 1)/13
Let y(f) be the third derivative of f**9/1008 - f**8/336 + f**7/420 - f**3/3 - 3*f**2 - 9. Let l(p) be the first derivative of y(p). What is n in l(n) = 0?
0, 2/3, 1
Let y(w) be the third derivative of w**8/1008 + w**7/90 - w**6/40 - 7*w**5/180 + w**4/9 - 886*w**2. Factor y(j).
j*(j - 1)**2*(j + 1)*(j + 8)/3
Let n be (1/(-4))/(200/(-5600)) - 41/8. Factor n + 1/4*a - 1/8*a**2.
-(a - 5)*(a + 3)/8
Let o = -16441 - -16488. Let u(y) be the first derivative of -11/30*y**3 - 1/5*y + o + 13/50*y**5 - 3/8*y**4 + 3/4*y**2. Determine i so that u(i) = 0.
-1, 2/13, 1
Let j = -79777/123600 + -1/2575. Let u = j + 21/16. Determine q so that u*q + 1/6*q**2 + 1/2 = 0.
-3, -1
Let w(v) = -v**2 + 102*v - 2550. Let t be w(44). Let -2/15*r**4 + 0 - 2/5*r**3 + 0*r - 4/15*r**t = 0. What is r?
-2, -1, 0
Let n(d) be the second derivative of d**4/84 + 11*d**3/3 - 156*d