
(f - 4)*(f - 1)/12
Let b be (-11244)/(-2604) + ((-570)/589)/30. Factor 3/7*z**3 - b + 51/7*z - 24/7*z**2.
3*(z - 5)*(z - 2)*(z - 1)/7
Let j(w) = -10221*w - 51097. Let b be j(-5). Factor 2/3*p**4 + 0 + 2/3*p**3 - 16/3*p**2 - b*p.
2*p*(p - 3)*(p + 2)**2/3
Factor 92*i**2 - 41 + 581*i + 2185 + 102*i + 5*i**3 - 1154 - 6*i**3.
-(i - 99)*(i + 2)*(i + 5)
Suppose -6*k + 2*k + 3*l = 392, k + l = -105. Let j = k + 105. Find v, given that 0*v**2 + 1/5*v**j - 1/5 - 2/5*v + 2/5*v**3 = 0.
-1, 1
Let l = 62 + -59. Let n = -668/37 - -4746/185. Determine k so that 2/3*k**l + 12/5 + n*k + 64/15*k**2 = 0.
-3, -2/5
Let z(x) be the first derivative of -x**4/2 + 824*x**3/15 + 1111*x**2/5 - 204*x + 2283. Suppose z(p) = 0. What is p?
-3, 2/5, 85
Let j = 9279/2 + -3136. Let g = -1466 + j. Factor -g*r - 5/2*r**3 + 35/2*r**2 + 45/2.
-5*(r - 3)**2*(r - 1)/2
Let h(u) be the first derivative of -u**4/42 - 200*u**3/63 + 412*u**2/21 - 832*u/21 - 1476. Determine l so that h(l) = 0.
-104, 2
Let k = 11 + -4. Let u be 2 + (-20 - -24) - 3. Let -4*s**3 + k*s**3 - s**3 - u*s**4 + s**3 = 0. Calculate s.
0, 1
Let t(k) be the first derivative of -40/3*k**3 - 5/4*k**4 - 50*k - 85/2*k**2 + 136. Let t(o) = 0. What is o?
-5, -2, -1
Let b(l) = l**3 - 3477*l**2 - 6947*l - 3471. Let x(t) = -t**3 + 6957*t**2 + 13892*t + 6939. Let i(a) = 5*b(a) + 2*x(a). Solve i(f) = 0 for f.
-1, 1159
Let s be -6 - 10 - 2068/(-110) - 3*(-4)/60. Let g be (-14)/(-8) - (-1)/4. Factor g*b**s + 0 - 4/3*b - 2/3*b**2.
2*b*(b - 1)*(3*b + 2)/3
Factor 2916/7 - 3/7*g**2 + 207/7*g.
-3*(g - 81)*(g + 12)/7
Let p = -18113/570 + 1817/57. Factor -1/10*o**3 + 1/2*o - 1/5 + p*o**4 - 3/10*o**2.
(o - 1)**3*(o + 2)/10
Let s(i) be the first derivative of i**5/15 + 4*i**4 + 47*i**3/9 + 1071. Factor s(q).
q**2*(q + 1)*(q + 47)/3
Let n = 1471/5 - 291. Suppose i - 4 = -y, -2 + 1 = -i. Solve 932/5*u**y - n*u - 96/5 - 84*u**4 + 200*u**2 = 0 for u.
-2/3, -2/5, 2/7, 3
Let h = -507 + 447. Let g be (h/40)/(7*1/(-2)). Factor -g*f**2 - 9/7*f + 0.
-3*f*(f + 3)/7
Let s(u) be the first derivative of -2*u**5/5 - 57*u**4 - 1838*u**3 + 28304*u**2 - 89304*u + 776. Factor s(n).
-2*(n - 6)*(n - 2)*(n + 61)**2
Factor -25772*z + 8551*z + 8716*z - 2*z**2 + 8649*z - 1024.
-2*(z - 64)*(z - 8)
Let m be (216/(-32400))/(2/(-10)). Let p(c) be the second derivative of 3/100*c**5 + 1/5*c**2 - 14*c - 1/10*c**3 - m*c**4 + 0. Suppose p(b) = 0. Calculate b.
-1, 2/3, 1
Let u be 441/(6 + 141/(-21)). Let s = -617 - u. Let 12/5 - 2*g - s*g**2 = 0. What is g?
-6, 1
Let v(c) be the second derivative of -2*c - 3/5*c**5 - 3 + 1/20*c**6 + 11/4*c**4 + 27/4*c**2 - 6*c**3. Determine t, given that v(t) = 0.
1, 3
Determine p so that -3287*p**4 - 21004*p**3 - 2062084*p**2 + 11873*p**3 + 920320*p - 16753*p**3 + 3206*p**4 - 102400 = 0.
-160, 2/9
Let w = -45573/2 + 22789. Factor 120*g + 90 + w*g**3 + 65/2*g**2.
5*(g + 1)*(g + 6)**2/2
Suppose 915442 - 915362 = 40*a. Suppose -5/3*b**4 + 5*b**3 + 0 + 15*b**a - 45*b = 0. Calculate b.
-3, 0, 3
Let h(k) = 217*k + 60764. Let b be h(-280). Let 28/5*g**3 - 24/5*g - 4/5*g**b - 4/5*g**5 + 0 + 4/5*g**2 = 0. What is g?
-3, -1, 0, 1, 2
Factor -112 - 10*a - 26*a + 48*a + 5*a**2 + 2*a**2 - 3*a**2.
4*(a - 4)*(a + 7)
Let w be 18*(17 + 912/(-54)). Let j(s) be the first derivative of w*s**2 + 1/16*s**4 + 3*s - 18 + 7/12*s**3. Determine v so that j(v) = 0.
-3, -2
Suppose 41*s - 42*s + 11 = 2*f, 3*f = -21. Let v(k) be the first derivative of s + 6/5*k**2 - 2*k - 2/15*k**3. Factor v(b).
-2*(b - 5)*(b - 1)/5
Let 1105*r**2 - 1220*r - 900 - 3*r**5 + 18683*r**4 - 12*r**5 + 1235*r**3 - 18888*r**4 = 0. What is r?
-18, -1, -2/3, 1, 5
Suppose -4*b + 6*b + y = -1960, -3*b - 2930 = 4*y. Let n = b - -2956/3. Let 2/3*s**5 - 8/3*s**4 + 8/3*s**3 - n*s + 4/3*s**2 + 4/3 = 0. What is s?
-1, 1, 2
Let g(p) = 3*p**2 - 14*p + 7. Let c = 3 - -3. Let f be g(c). Factor -19 + 132*o**2 + 12*o**3 - 13 + 16*o**3 - f*o + 103*o.
4*(o + 1)*(o + 4)*(7*o - 2)
Let z = 6 + -1. Let q(j) = -10 + 2*j**2 + j + 15 + 4. Let f(a) = -2*a**2 - 10. Let c(i) = z*f(i) + 6*q(i). Solve c(x) = 0.
-2, -1
Suppose 32*p = 70*p - 42712. Let s = 12396/11 - p. Find z, given that s*z + 128/11 + 2/11*z**2 = 0.
-8
Suppose 17*w + 48 = 33*w. Let x be (-5)/w + 143/39. Find s such that 0 - 2/11*s**x - 6/11*s = 0.
-3, 0
Let o(i) be the first derivative of -48 + 44*i + 1/33*i**3 + 2*i**2. Factor o(a).
(a + 22)**2/11
Let g(x) = -x**2 - 6*x + 21. Let k be g(0). Let y be 72/90*90/k. Factor 3/7*b**2 - y + 6/7*b.
3*(b - 2)*(b + 4)/7
Let p(k) = -2*k**3 - 5*k**2 - 2*k. Let c(y) = -3*y**3 - 277*y**2 + 94*y. Let w(t) = -c(t) + 4*p(t). Solve w(d) = 0 for d.
0, 2/5, 51
Let h(c) be the third derivative of -1/15*c**4 + 4/5*c**3 + 0 - 5*c**2 - 20*c - 1/150*c**5. Suppose h(j) = 0. What is j?
-6, 2
Let f(r) be the first derivative of -5/7*r**2 - 1/7*r**3 + 0*r - 31. Factor f(h).
-h*(3*h + 10)/7
Let a(i) = i**3 + 25*i**2 - 2*i - 48. Let p be a(-25). Factor 46*w**2 - 17*w + 108*w + 108*w + 9*w + 216 - p*w**3.
-2*(w - 27)*(w + 2)**2
Let q(v) = 2*v**3 + 61*v**2 + 387*v + 10998. Let b be q(-30). Determine i, given that -24*i**2 + 2/3*i**3 - 1152 + b*i = 0.
12
Suppose 0 = 37751*g - 37633*g. Suppose 28/5*d**4 - 16/5*d + g + 32/5*d**2 + 76/5*d**3 = 0. What is d?
-2, -1, 0, 2/7
What is k in -2782224 - 23304*k**3 + 5498298*k**2 + 2875252*k**4 - 2875224*k**4 + 8360016*k - 669454*k**2 = 0?
-2, 2/7, 417
Find z such that -1/3*z**2 + 58/3*z - 841/3 = 0.
29
Let u be ((-574)/(-656))/((-148)/32 - -5). Let -1/3*d**2 - 4 - u*d = 0. Calculate d.
-4, -3
Let n(h) be the third derivative of h**5/60 - h**4/2 + 13*h**3/6 + 23*h**2 - 4. Let a be n(11). Determine i so that 1/4*i**3 + 0 + 1/4*i + 1/2*i**a = 0.
-1, 0
Let p(l) be the second derivative of -l**6/40 + 69*l**5/16 - 4725*l**4/16 + 79625*l**3/8 - 643125*l**2/4 + 4570*l. Solve p(y) = 0.
10, 35
Let f = 12144 - 12139. Let v(w) be the third derivative of 0*w + 0 + 0*w**3 + 5/42*w**4 - 1/105*w**f + 8*w**2. Solve v(k) = 0 for k.
0, 5
Let s = -228 + 231. Suppose 21*p**2 - 75 + 29 + s*p**3 + 25 - 3*p = 0. Calculate p.
-7, -1, 1
Let g(l) = 26*l**3 - 34*l**2 - 60*l + 10. Let q(w) = 8*w**3 - 12*w**2 - 20*w + 3. Let a(b) = 6*g(b) - 20*q(b). Factor a(z).
-4*z*(z - 10)*(z + 1)
Let n(a) be the second derivative of -a**6/30 - 23*a**5/40 - 41*a**4/12 - 73*a**3/12 + 15*a**2 - 243*a + 1. Find h such that n(h) = 0.
-5, -4, -3, 1/2
Factor -6534 - 2/3*p**2 + 132*p.
-2*(p - 99)**2/3
Suppose -8*o - 5 = -5. Let j(g) be the third derivative of o*g + 1/30*g**5 - 1/40*g**6 + 0*g**3 - 17*g**2 + 1/24*g**4 + 0. Factor j(u).
-u*(u - 1)*(3*u + 1)
Let k(y) be the first derivative of 5/4*y**4 - 85*y**2 + 171 + 120*y + 15*y**3. Factor k(d).
5*(d - 2)*(d - 1)*(d + 12)
Suppose -38 = 4*k - 102. Suppose -26 = -m - 5*y, 0 = 4*m + 4*y - k - 24. Determine a, given that 0*a**2 - m*a + 0*a**2 + 4 + a**2 + a**2 = 0.
1, 2
Find n such that -4/3*n**2 - 1522756/3 + 4936/3*n = 0.
617
Let m(r) be the first derivative of r**6/24 + r**5/4 - r**4/16 - 5*r**3/12 + 883. Factor m(o).
o**2*(o - 1)*(o + 1)*(o + 5)/4
Suppose -286*l**3 - 168*l**3 - 945*l**5 + 176*l - 328*l**2 + 940*l**2 + 953*l**5 - 342*l**4 = 0. What is l?
-2, -1/4, 0, 1, 44
Let z = -82 - -84. Factor -83*y**2 - 40*y + 156*y**2 + 45 - 78*y**z.
-5*(y - 1)*(y + 9)
Let u(g) be the first derivative of -15/16*g**4 + 6*g - 5/2*g**3 + 3/2*g**2 + 1/8*g**6 + 3/10*g**5 - 98. Determine v so that u(v) = 0.
-2, -1, 1, 2
Let o(s) be the second derivative of -s**5/160 - 3*s**4/64 + s**3/4 + 68*s**2 + 38*s + 2. Let y(a) be the first derivative of o(a). Suppose y(l) = 0. What is l?
-4, 1
Let x = -117158 - -117158. Let 0 + x*f + 2/13*f**2 - 2/13*f**3 = 0. What is f?
0, 1
Let h(v) = -30377*v + 698674. Let c be h(23). Factor 0*d + 4/11*d**c - 1/11*d**4 + 0 - 3/11*d**2.
-d**2*(d - 3)*(d - 1)/11
Let b(t) be the third derivative of t**5/15 - 13*t**4/6 + 80*t**3/3 - 816*t**2. Factor b(u).
4*(u - 8)*(u - 5)
Let o be (-4*(-1)/(-35))/(14/(-10360)). Let q = o - 1321/21. Determine d so that 80/3*d + 20/3 + 5*d**3 + q*d**2 = 0.
-2, -1/3
Let s be 87395/(-133) - 4/(-38). Let i = 1317/2 + s. Factor -y + 0 - i*y**2 + 0*y**3 + 1/2*y**4.
y*(y - 2)*(y + 1)**2/2
Factor -41*m + 39 - 850*m**2 + 46*m - 80 + 200*m + 56.
-5*(10*m - 3)*(17*m + 1)
Suppose 0 = -3*b + 3, 3*b + 42 = 3*q - 18. Suppose -6*x + q = 9. Let -1/2 - 5/2*p**x + 3*p = 0. 