u + 1)*(u + 34)**2
Suppose -15*c + 232 + 83 = 0. Let -100*b**3 - 22*b**2 - c*b**2 + 10*b**5 + 154*b**4 - 21*b**2 = 0. What is b?
-16, -2/5, 0, 1
Let i(x) = 4*x**3 + x**2. Let z(v) = -11*v**3 - 3664*v**2 + 669780*v. Let r(u) = -4*i(u) - z(u). Suppose r(h) = 0. What is h?
0, 366
Let r(y) be the second derivative of -70*y**2 - 1/4*y**5 - 95/2*y**3 + 78*y - 25/2*y**4 + 0. Factor r(i).
-5*(i + 1)**2*(i + 28)
Factor -22*c + 16187*c**2 + c**3 - 3*c**3 + 9 - 16175*c**2 + 0 + 3.
-2*(c - 3)*(c - 2)*(c - 1)
Let h(u) = -2*u**4 + u**3 - u**2 + u + 2. Let f(b) = 7*b**5 - 19*b**4 - 147*b**3 - 269*b**2 - 75*b + 58. Let j(g) = -f(g) + 5*h(g). Solve j(p) = 0.
-2, -1, 2/7, 6
Let f = 10 - 17/2. Let h be (-6)/(-15)*((-315)/(-28) + -5). Factor -h*t - f*t**3 - 1/4*t**4 - 3*t**2 - 3/4.
-(t + 1)**3*(t + 3)/4
Let a(m) be the second derivative of 0*m**2 + 15*m - 105/8*m**4 - 1/12*m**6 - 15/8*m**5 + 1 - 245/12*m**3. Factor a(y).
-5*y*(y + 1)*(y + 7)**2/2
Determine l so that -134*l**2 + 410/3*l**4 + 88/3*l - 32/9*l**3 - 8*l**5 + 136/9 = 0.
-1, -1/4, 2/3, 17
Suppose -1736*p + 273*p - 448 + 3219 = -1618. Solve -u - 1/3*u**p + 1/3 + u**2 = 0.
1
Solve 4/3*p**2 + 0 - 704*p = 0 for p.
0, 528
Let r(m) be the first derivative of -5*m**4/4 + 5*m**3 + 55*m**2 - 120*m + 1361. Solve r(y) = 0.
-4, 1, 6
Let a(h) be the second derivative of 3*h**5/20 - 53*h**4/2 - 107*h**3/2 - 9*h + 7. Factor a(s).
3*s*(s - 107)*(s + 1)
Let v(r) = -2585*r + 71 + 2595*r + 59. Let w be v(-13). Solve 2/5*s**5 + w + 0*s**3 + 0*s**2 + 0*s + 2/15*s**4 = 0.
-1/3, 0
Let y(w) be the third derivative of 1/20*w**5 + 24*w**2 + 0*w - 1/360*w**6 - 5/18*w**4 + 0*w**3 - 3. Factor y(x).
-x*(x - 5)*(x - 4)/3
Let n = -2715 - -11357/4. Let p = 125 - n. Determine u, given that 3/4*u - p*u**3 - 3/4*u**2 + 3/4 = 0.
-1, 1
Let k be (-33 + 1515/45)/(2/(-4 + 10)). Factor -32/7*z - 4/7*z**k + 12/7*z**3 - 16/7.
4*(z - 2)*(z + 1)*(3*z + 2)/7
Solve 28*y + 64/7*y**2 + 12/7 = 0 for y.
-3, -1/16
What is u in 606 + 25*u**4 + 545*u**2 + 444 + 1194*u + 4201*u - 895*u**3 = 0?
-2, -1/5, 3, 35
Determine q so that 328/9*q + 2/9*q**2 + 1280/9 = 0.
-160, -4
Factor 1/2*b**4 - 338*b - 46*b**3 - 291/2 - 239*b**2.
(b - 97)*(b + 1)**2*(b + 3)/2
Let l be ((-360)/300)/(-3*2/4). Factor -2/5*d**2 + l*d - 2/5.
-2*(d - 1)**2/5
Let t(y) be the third derivative of -y**6/3780 + y**5/126 - 25*y**4/252 + 27*y**3/2 + y**2 - 41. Let l(c) be the first derivative of t(c). Factor l(a).
-2*(a - 5)**2/21
Let t(c) be the first derivative of -64 + 0*c**2 + 1/15*c**6 - 1/10*c**4 + 0*c + 16/25*c**5 - 16/15*c**3. Find q, given that t(q) = 0.
-8, -1, 0, 1
Let t = 17 + -15. Suppose -k + 6 = t*k. Determine p, given that -38 - 3*p**4 + 5*p**5 - 4*p**5 + 38 + k*p**3 = 0.
0, 1, 2
Let w be (-4 - (-2268)/566)*(-9)/30. Let b = 1442/12735 + w. Suppose b*m**3 + 0 - 2/9*m + 1/9*m**2 = 0. Calculate m.
-2, 0, 1
Suppose -4*q - 53 = f, 39*q - 7 = 40*q - f. Let w be q/195*(-60)/8. Suppose -2/13*t**4 + 4/13 + 6/13*t**3 - 2/13*t**2 - w*t = 0. Calculate t.
-1, 1, 2
Let y = -679781 - -679784. What is n in 36*n - 27 + 3/4*n**y - 39/4*n**2 = 0?
1, 6
Let c be 6/5*(-5350)/(-4815)*6/44. Let -c*o**2 + 0 - 3/11*o = 0. Calculate o.
-3/2, 0
Let w(x) = x**2 - 41*x + 118. Let v be w(3). Let k(j) be the second derivative of 4/9*j**3 + 5/9*j**v - 7*j + 0 - 16/3*j**2 + 1/15*j**5. Solve k(q) = 0.
-4, -2, 1
Let d(c) be the third derivative of 5*c**5/72 + 5*c**4/36 + c**3/9 + 70*c**2 - c. Factor d(u).
(5*u + 2)**2/6
Let r(p) be the third derivative of p**5/75 + 3*p**4/4 - 23*p**3/15 - 281*p**2 - 2. Factor r(d).
2*(d + 23)*(2*d - 1)/5
Let j(b) = -1345*b - 157361. Let c be j(-117). Factor 4*g**2 - c - 2/3*g + 2/3*g**3.
2*(g - 1)*(g + 1)*(g + 6)/3
Let n(v) be the first derivative of -2*v**5/35 + 23*v**4/7 - 1418*v**3/21 + 4140*v**2/7 - 16200*v/7 - 1299. Factor n(l).
-2*(l - 18)**2*(l - 5)**2/7
Let m = -65 - -12. Let i = -50 - m. Factor 3*t**2 + 3*t**5 + 6*t + 79*t**4 + 0*t**i - 82*t**4 - 9*t**3.
3*t*(t - 2)*(t - 1)*(t + 1)**2
Let f(s) be the first derivative of -96*s**2 - 87 - 1404/5*s**5 + 75*s**4 - 144*s + 764/3*s**3 + 338/3*s**6. Determine g so that f(g) = 0.
-6/13, 1
Let w(l) = -2*l**3 - 2*l + 1. Let x(c) = -11*c**3 - 10*c**2 + 15*c - 14. Let q(r) = 6*w(r) - x(r). Let o be q(6). Factor 0 - 1/9*m - 1/9*m**o.
-m*(m + 1)/9
Let u(y) be the third derivative of 48*y**2 + 1/210*y**7 + 2/15*y**5 + 1/4*y**4 - 1/20*y**6 + 0 + 0*y - 3/2*y**3. Factor u(r).
(r - 3)**2*(r - 1)*(r + 1)
Let p(o) = -o**2 + 17*o - 14. Let w be p(16). Find x, given that 2 + 188*x + 3*x**2 + 2*x**2 + 2*x**w - 197*x = 0.
2/7, 1
Solve -276/7*m + 60/7*m**2 + 3/7*m**3 + 288/7 = 0.
-24, 2
Let c(w) be the third derivative of w**7/105 + 7*w**6/6 + 66*w**5/5 + 194*w**4/3 + 512*w**3/3 - 7*w**2 - 57. Factor c(u).
2*(u + 2)**3*(u + 64)
Let p(g) be the third derivative of g**8/168 + 29*g**7/7 - 146*g**6/5 + 878*g**5/15 + 97*g**2 - 9*g + 2. Determine t, given that p(t) = 0.
-439, 0, 2
Suppose 0 = -4*w - 3*b + 32, 22*b + 24 = 3*w + 23*b. Let t be (16/(-7))/w + (-8)/(-28). Find f, given that -4/3*f**3 + t + 4*f**2 - 8/3*f = 0.
0, 1, 2
Let 490*l - 785*l**2 - 1530 - 125*l**3 + 2*l**4 - 7*l**4 - 2365*l = 0. What is l?
-17, -3, -2
Let d(h) = 32*h**3 - 1674*h**2 + 23744*h - 3136. Let r(g) = -g**3 - 5*g**2. Let p(w) = -2*d(w) - 4*r(w). Factor p(v).
-4*(v - 28)**2*(15*v - 2)
Suppose 2/3*m**4 - 72*m + 0 + 26/3*m**3 + 16*m**2 = 0. What is m?
-9, -6, 0, 2
Determine f so that 24*f**5 + 94/3*f**3 + 90*f**4 - 4 - 86*f**2 - 166/3*f = 0.
-3, -1, -2/3, -1/12, 1
Factor 12840 - 4275 - 4287 + 70*n - 4278 - 5*n**2.
-5*n*(n - 14)
Factor -t**5 - 2503*t**3 + t**4 - 2*t**4 + 2545*t**3.
-t**3*(t - 6)*(t + 7)
Let u(l) be the third derivative of -l**5/30 + 47*l**4/12 - 46*l**3/3 + 2*l**2 + 41*l. Factor u(i).
-2*(i - 46)*(i - 1)
Suppose 0 = -2*h - 0*h - 4*l, h - 2*l = 4. Let g be (h*(-1)/90)/(1/(-6)). Factor g*s**3 - 4/5 - 16/15*s**2 + 26/15*s.
2*(s - 6)*(s - 1)**2/15
Let b(p) = 30*p + 201. Let g(s) = 122*s + 802. Let m(l) = -9*b(l) + 2*g(l). Let n be m(-8). Suppose 2/3*t + 2*t**2 + 2/3*t**4 + 0 + 2*t**n = 0. Calculate t.
-1, 0
Let x(r) be the second derivative of r**7/315 - 2*r**6/75 - 13*r**5/150 + 19*r**4/45 + 4*r**3/5 - 56*r**2/15 - 653*r. Find c, given that x(c) = 0.
-2, 1, 2, 7
Factor 1402 - 731 - 23*x - 2*x - 41 - 5*x**2.
-5*(x - 9)*(x + 14)
Let w(u) be the first derivative of -5*u**3/9 + 4180*u**2/3 - 3494480*u/3 - 3006. Determine b, given that w(b) = 0.
836
Let i(m) be the first derivative of 2*m**3/27 + 29*m**2/3 + 56*m - 1872. Find d, given that i(d) = 0.
-84, -3
Let w be (126/30 + -6)/(6/(-10)). Let 14*h**4 + 168*h**5 + 100*h**2 - 75*h**w - 114*h**4 - 113*h**5 + 20*h = 0. Calculate h.
-1, -2/11, 0, 1, 2
Let u be 2 + 99/462*258/9 - (9 - 2). Factor -16/7*c**2 + u*c**3 - 8/7*c + 4/7*c**4 + 12/7.
4*(c - 1)**2*(c + 1)*(c + 3)/7
Determine o so that 58*o**3 - 36/5 - 26/5*o**4 - 538/5*o**2 + 62*o = 0.
2/13, 1, 9
Let z(v) be the second derivative of v**5/150 - 67*v**4/90 + 256*v**3/45 - 84*v**2/5 + 3*v + 1087. Factor z(n).
2*(n - 63)*(n - 2)**2/15
Let k(z) be the third derivative of -z**5/5 - 17*z**4/60 - 2*z**3/15 + 1392*z**2. Suppose k(l) = 0. Calculate l.
-2/5, -1/6
Let c(f) be the second derivative of 2*f**6/15 - 26*f**5/5 + 8*f**4 + 52*f**3/3 - 50*f**2 + 8*f - 12. Determine s, given that c(s) = 0.
-1, 1, 25
Let t(s) be the first derivative of -2*s**6/3 + 528*s**5/5 - 5249*s**4 + 228808*s**3/3 - 198360*s**2 + 188384*s + 2173. Find o such that t(o) = 0.
1, 14, 58
Suppose -20 = a - 5*n - 0*n, 5*a = 2*n - 100. Let p be a/(-6) - (10/3 - 3). Factor -4/3*i**p + 8/3*i**2 + 0*i + 0.
-4*i**2*(i - 2)/3
Suppose 34 = -15*l + 64. Let y be 1*l/(-10) - (-4)/10. Let y*p**2 + 0 - 1/5*p**4 + 4/5*p - 4/5*p**3 = 0. What is p?
-4, -1, 0, 1
Let j = 1 + 1. Find m, given that -2 - m + 198*m**4 + 13*m - 341*m**j - 242*m**5 + 284*m**3 + 145*m**2 - 54*m = 0.
-1, -1/11, 1
Let q be 1*(1 - -1) + 0/((-220)/5). Suppose -22/5*m - 8/5*m**3 + 0 + 18*m**q = 0. What is m?
0, 1/4, 11
Let d be 21/5 - (-11)/(253/(-92)). Suppose 18/5*a - d*a**5 - 1/5*a**3 - a**4 + 21/5*a**2 + 0 = 0. What is a?
-3, -1, 0, 2
Let m(p) = p**3 + 21*p**2 + 70*p + 34. Let i be m(-17). Factor i + 4/3*t + 1/3*t**2.
t*(t + 4)/3
Let v(q) be the second derivative of q**2 - 2/3*q**3 + 3 - 1/6*q**4 + 17*q + 1/5*q**5. Suppose v(n) = 0. What is n?
