-1/2, 0, 2
Factor -1163964*m + 25281 + m**2 + 0*m**2 + 1163646*m.
(m - 159)**2
Let a(m) be the second derivative of 215*m + 0*m**2 + 17/24*m**4 - 53/120*m**5 + 0 + 1/18*m**3. Factor a(r).
-r*(r - 1)*(53*r + 2)/6
Suppose 16 = 48*c - 65 - 15. Factor -52/7*p + 2/7*p**c + 338/7.
2*(p - 13)**2/7
Let j(q) be the second derivative of 7*q**5/20 + 19*q**4/15 + 47*q**3/30 + 3*q**2/5 - 158*q. Determine d so that j(d) = 0.
-1, -6/35
Let w be (3 + -1 - 288/120)*3295. Let v = w + 1323. Let -10/3 + 20/3*t**2 + 5/3*t**v - 10/3*t**3 - 10/3*t**4 + 5/3*t = 0. Calculate t.
-1, 1, 2
Suppose -x - 13 = -c, 56 = 2*c - 3*x + 19. Find o, given that 28/3*o**4 + 104/3*o**3 + 0 + 0*o - 32/3*o**c = 0.
-4, 0, 2/7
Let f(u) = 5*u**3 - 105*u**2 - 1431*u - 3875. Let x(y) = -3*y. Let b(p) = f(p) - 2*x(p). Factor b(t).
5*(t - 31)*(t + 5)**2
Let y(o) be the second derivative of -o**4/36 - 2101*o**3/18 - 2099*o**2/3 - 2*o + 556. Factor y(s).
-(s + 2)*(s + 2099)/3
Let f = -314 - -838. Let z = -524 + f. Solve 4/15*j**2 + 2/15*j + z = 0.
-1/2, 0
Let h = -131 + 107. Let c be 2/(-5)*(23 + h)*3. What is u in 0 - c*u - 2/5*u**5 - 4/5*u**2 + 8/5*u**3 + 4/5*u**4 = 0?
-1, 0, 1, 3
Factor 1128002/7 + 3004/7*c + 2/7*c**2.
2*(c + 751)**2/7
Let y(v) be the second derivative of 24088464*v**5/25 + 8026216*v**4/5 - 3926*v**3/3 + 2*v**2/5 + 1097*v + 2. Factor y(l).
4*(l + 1)*(4908*l - 1)**2/5
Let z(n) be the first derivative of n**7/399 + n**6/285 - 4*n**5/95 - 2*n**4/19 - 120*n + 9. Let s(g) be the first derivative of z(g). Factor s(r).
2*r**2*(r - 3)*(r + 2)**2/19
Let i(p) = 69*p**2 + 499*p + 114. Let c be i(-7). Solve 0 + 2/3*h**c - 4/5*h + 8/15*h**3 = 0 for h.
-2, 0, 3/4
Let g(r) = r**3 + 14*r**2 + 32*r - 7. Let x be g(-11). Let -55 - 672*n**x - 147*n**5 - 1083*n**3 + 13 + 18 - 228*n - 25*n**2 - 737*n**2 = 0. Calculate n.
-2, -1, -2/7
Suppose -32*i + 3*i**2 - 4*i**2 - 90 - 42 - 2*i - i**2 = 0. Calculate i.
-11, -6
Let s(m) be the third derivative of -m**7/945 - 13*m**6/540 - 23*m**5/135 - 4*m**4/9 - 2*m**2 + 648*m + 2. Factor s(g).
-2*g*(g + 2)*(g + 3)*(g + 8)/9
Let d = 322 + -326. Let j(v) = 12*v**4 - 15*v**3 + 3*v**2 + 5*v + 5. Let q(p) = -12*p**4 + 16*p**3 - 4*p**2 - 4*p - 4. Let u(o) = d*j(o) - 5*q(o). Factor u(s).
4*s**2*(s - 1)*(3*s - 2)
Let y(b) be the third derivative of b**6/360 + b**5/90 - 7*b**4/24 + b**3 + 224*b**2. Let y(p) = 0. Calculate p.
-6, 1, 3
Let d(r) be the third derivative of 0*r**3 + 0*r**5 + 1/210*r**6 + 9 + 6*r**2 + 0*r**4 + 0*r. Factor d(m).
4*m**3/7
Suppose 2*v = -v + 6. Let s = -49133 - -736997/15. Suppose 6/5*w**v + 16/15*w + 0 + s*w**3 = 0. What is w?
-8, -1, 0
Factor 19/2*s + 30 - 13/4*s**2 - 1/4*s**3.
-(s - 4)*(s + 2)*(s + 15)/4
Factor -180*r + 284*r + 398*r + 501 + r**2.
(r + 1)*(r + 501)
Find k, given that 2/7*k**4 - 248/7 - 52/7*k**3 - 488/7*k - 42*k**2 = 0.
-2, -1, 31
Let x(i) be the third derivative of i**6/90 - 3343*i**5/180 + 174515*i**4/18 + 87362*i**3/9 - 2*i**2 + 201*i. Suppose x(t) = 0. What is t?
-1/4, 418
Let d(v) be the second derivative of -v**5/34 + 13*v**4/102 - 4*v**3/51 - 4*v**2/17 - 457*v - 1. Suppose d(f) = 0. What is f?
-2/5, 1, 2
Factor 0*g**2 - 432/7*g**3 + 0*g - 62*g**4 + 0 - 2/7*g**5.
-2*g**3*(g + 1)*(g + 216)/7
Let i(s) be the second derivative of 0 - 118*s - 8/39*s**3 + 9/13*s**2 - 1/78*s**4. Suppose i(d) = 0. Calculate d.
-9, 1
Suppose 12 = -158*m + 12. Let o(t) be the third derivative of 0*t**3 + 0*t**5 - 1/960*t**6 - 9*t**2 + 1/192*t**4 + m*t + 0. Factor o(j).
-j*(j - 1)*(j + 1)/8
Suppose -229*m + 3*m - 20*m + 738 = 0. Solve 0 - 8/3*d**2 + 4/3*d + 5/3*d**m - 1/3*d**4 = 0 for d.
0, 1, 2
Let d(n) be the third derivative of -2*n**7/105 + 79*n**6/30 - 558*n**5/5 + 2242*n**4/3 - 5776*n**3/3 - 3257*n**2. Find m such that d(m) = 0.
1, 2, 38
Let h = -32384/3 - -10796. Find o, given that -o**4 + 4/3*o + 1/3 + 2/3*o**2 - h*o**3 = 0.
-1, -1/3, 1
Let r(w) = 10*w**2 + 604*w + 9626. Suppose 3*p = 8*p + i + 14, 3*i = -3*p - 6. Let h(g) = -2*g**2 - 121*g - 1925. Let b(s) = p*r(s) - 16*h(s). Factor b(x).
2*(x + 31)**2
Suppose 3*i - 6 = -h, -12*i + 17*i - 4*h = 27. Suppose 45*x**2 + 1138*x + 26 + 49 - 1023*x + 5*x**i = 0. What is x?
-5, -3, -1
Let k(m) be the first derivative of m**4 + 1952*m**3/3 + 119072*m**2 - 597. Factor k(x).
4*x*(x + 244)**2
Let m(s) be the first derivative of -s**4/4 - 50*s**3/3 + 2*s**2 + 200*s - 275. Find o, given that m(o) = 0.
-50, -2, 2
Let r(p) be the third derivative of p**7/504 - p**6/18 - 3*p**5/8 - p**4/6 - 54*p**2. Let g(u) be the second derivative of r(u). Factor g(t).
5*(t - 9)*(t + 1)
Suppose 0*y = 3*y - 24. Suppose -y = -2*s - 2. Suppose -27*i**2 + 3*i**2 - 3*i**s - i**3 + 4*i**2 = 0. What is i?
-5, 0
Let h be (-34 + 40)/((-12)/(-8) - 2). Let q(p) = 26*p + 314. Let s be q(h). Factor -3/2*x**2 + s - 1/2*x**3 + 0*x.
-(x - 1)*(x + 2)**2/2
Let o(t) = 30 - 4*t**2 + t**2 + 15*t**2 - 8*t**2 - 37*t + 9*t. Let u(d) = -11*d**2 + 55*d - 59. Let h(q) = -5*o(q) - 2*u(q). Determine p so that h(p) = 0.
-16, 1
Let n(x) be the third derivative of x**8/168 + 11*x**7/105 - 5*x**6/12 + 13*x**5/30 - 12*x**2 + 5*x. Factor n(b).
2*b**2*(b - 1)**2*(b + 13)
Let h(a) be the second derivative of -a**8/2240 - a**7/210 - 17*a**4/6 - 52*a + 2. Let q(j) be the third derivative of h(j). Factor q(p).
-3*p**2*(p + 4)
Let n(r) be the second derivative of -3249/10*r**3 + 29 + 185193/10*r**2 - 1/100*r**5 + 57/20*r**4 + r. Factor n(u).
-(u - 57)**3/5
Factor 0 - 2/5*l**4 - 6/5*l**2 - 2*l**3 + 2/5*l**5 + 0*l.
2*l**2*(l - 3)*(l + 1)**2/5
Let x(d) = d**3 + 2*d**2 - d + 1. Let y be x(1). Let m = -220 + 222. Let 0 - 5/2*a**m - 25/4*a - 1/4*a**y = 0. What is a?
-5, 0
Factor 12056040/11*w + 2/11*w**4 - 12256974/11 + 199836/11*w**2 + 1096/11*w**3.
2*(w - 1)*(w + 183)**3/11
Let 0 - 7/3*d + 1/3*d**2 - 1/3*d**4 + 7/3*d**3 = 0. What is d?
-1, 0, 1, 7
Let 36*y**3 + 23*y**2 - 18 + 14*y**2 - 32*y**3 + 9*y + y**3 - 5*y**2 = 0. What is y?
-6, -1, 3/5
Find f such that 267*f - 1/3*f**3 - 644/3 - 52*f**2 = 0.
-161, 1, 4
Suppose -3*u - b + 5 = 0, 34*b + 25 = 39*b. Let n(w) be the third derivative of 0*w**3 + u + 1/60*w**6 + 1/10*w**5 + 0*w + 0*w**4 - 23*w**2. Factor n(d).
2*d**2*(d + 3)
Let g(s) = s**4 + 22*s**3 - 46*s**2 + 29*s - 3. Let q(i) = -i**2 - 5*i + 3. Let a(n) = -g(n) - q(n). Factor a(x).
-x*(x - 1)**2*(x + 24)
Let k(z) = -79*z**2 - 1742*z - 86. Let w be k(-22). Solve -8/5*t**3 + 2/5*t**4 - 2/5*t**w - 24/5 + 32/5*t = 0.
-2, 1, 2, 3
Let b be 0/3 + -3 + 5. What is h in h**3 + 33*h**b + 4*h**4 + 4*h**3 - 12*h**5 - 35*h**2 = 0?
-2/3, 0, 1/2
What is u in u**2 + 120*u - 829*u + 39635 - 41057 = 0?
-2, 711
Suppose -l + 0*l + 9 = 0, 4*g + 161 = -2*l + 191. Determine r, given that 0 + 31/5*r**2 + 0*r + 1/5*r**g = 0.
-31, 0
Let j be -15*(4 - (-1434)/(-18)). Let h = j - 1130. What is z in -2/15*z**h + 0 + 0*z + 0*z**2 + 4/15*z**4 - 2/15*z**3 = 0?
0, 1
Suppose -3*k - 40 = -4*v, 5*v + 2*k - 13 - 14 = 0. Let j = v - -10. Factor -10*y - y**3 + 9*y**2 - j*y**2 - 6*y.
-y*(y + 4)**2
Let q(s) be the second derivative of -s**5/20 + s**3 + s**2 - 30*s. Let x be q(0). What is i in 0*i - 2/11*i**3 + 0 + 4/11*i**x = 0?
0, 2
Let v = -500 - -4501/9. Let y(o) be the first derivative of 8 + 2/3*o - v*o**3 + 1/6*o**2. What is x in y(x) = 0?
-1, 2
Let y(g) be the first derivative of 361*g**6/9 - 152*g**5/15 - 2164*g**4/3 - 9728*g**3/9 + 1168*g**2/3 - 128*g/3 - 867. Let y(l) = 0. What is l?
-2, 2/19, 4
Let u(q) be the third derivative of 12*q**2 - 11/25*q**5 + 0*q - 19/35*q**7 + 153/200*q**6 + 0 + 11/80*q**8 + 0*q**3 + 1/10*q**4. Let u(b) = 0. Calculate b.
0, 2/11, 2/7, 1
Let l(k) be the third derivative of -49*k**5/12 + 1015*k**4/12 - 4205*k**3/6 - 2132*k**2. Solve l(g) = 0.
29/7
Let p be ((-75)/(-12))/5 + (-42)/(-552)*23. Factor 177/4*b - 3/4*b**4 + 171/4*b**2 + 15 + 51/4*b**p.
-3*(b - 20)*(b + 1)**3/4
Let t(o) be the third derivative of o**5/15 + 10*o**4 + 216*o**3 - o**2 - 2*o + 141. Factor t(g).
4*(g + 6)*(g + 54)
Let u(l) = -l**3 + 1. Let f(k) = 3*k**4 - 12*k**3 - 9*k**2 + 12*k + 18. Let s be (-7)/(35/25) + 5 + -1. Let n(i) = s*f(i) + 6*u(i). Let n(d) = 0. Calculate d.
-1, 2
Let p(j) be the second derivative of 2*j**5/5 - 11*j**4/2 + 50*j**3/3 + 4245*j. Factor p(w).
2*w*(w - 2)*(4*w - 25)
Let j be 675/990*(-10)/(-3). Let x(m) be the second derivative of 0 - 15*m - 10/33*m**3 + j*m**