851*c - 5*c**3 + 4*c**2 + 9*c**4 = 0.
0, 1, 4
Let n(g) = 4*g - 109. Let k be n(26). Let v(a) = -a**2 + a - 5. Let z(y) = -y + 2. Let r(q) = k*z(q) - 2*v(q). Factor r(b).
b*(2*b + 3)
Let a(p) be the second derivative of -2*p**6/15 + 3*p**5 - 14*p**4/3 + 31*p + 2. Find l, given that a(l) = 0.
0, 1, 14
Let i be 1 + (-2)/10*25 + 156/16 + -5. Find a such that 12*a - 27 + i*a**2 = 0.
-18, 2
Let r(c) be the third derivative of c**6/240 + c**5/24 - 73*c**4/48 - 77*c**3/12 - 3*c**2 + 581. Suppose r(s) = 0. Calculate s.
-11, -1, 7
Let a(b) be the third derivative of -b**9/21168 + b**8/1960 - b**7/1176 + 89*b**3/6 - 66*b**2. Let l(t) be the first derivative of a(t). Factor l(y).
-y**3*(y - 5)*(y - 1)/7
Let o(g) be the second derivative of -2*g**6/5 + 17*g**5/5 - 6*g**4 - 16*g**3/3 - 783*g. Let o(s) = 0. What is s?
-1/3, 0, 2, 4
Suppose -155441037312/5 - 3345408/5*d**2 - 2/5*d**4 + 4224/5*d**3 + 1177583616/5*d = 0. What is d?
528
Let g(l) be the first derivative of -5*l**3/3 - 11*l**2 - 8*l - 73. Let z be g(-4). Suppose 2/9*o**2 + 0 + 4/9*o**3 + 2/9*o**4 + z*o = 0. What is o?
-1, 0
Let b = -131 - -175. Let 7*p - 34*p**2 - 5*p**3 - 22*p - 35*p + 45*p**2 + b*p**2 = 0. What is p?
0, 1, 10
Let u(m) be the first derivative of 0*m - 24*m**3 - 15/4*m**4 - 1/5*m**5 + 115 - 54*m**2. Factor u(t).
-t*(t + 3)*(t + 6)**2
Suppose 8 - 20 = -m. Suppose 12 = -m*w + 16*w. Factor 12*i + 12 - 3*i**2 - i**3 - 2*i**3 + 0*i**w.
-3*(i - 2)*(i + 1)*(i + 2)
Suppose -144/5*n**3 + 0*n**2 + 0*n + 0 + 24/5*n**4 - 1/5*n**5 = 0. What is n?
0, 12
Let r(i) = 2*i**3 - i**2 + 1. Let q(k) = k**2 + k + 1. Let f(v) = -10*v**3 + 3*v**2 + 13*v + 1. Let b(d) = f(d) - 5*q(d). Let c(y) = b(y) + 4*r(y). Factor c(n).
-2*n*(n - 1)*(n + 4)
Let h(k) = 2*k**4 + 382*k**3 + 13110*k**2 + 12154*k - 25594. Let x(w) = -10*w**3 + w**2 + w - 1. Let v(p) = -h(p) - 6*x(p). Factor v(i).
-2*(i - 1)*(i + 2)*(i + 80)**2
Let g be 9184/(-336) + -4 + 32. Suppose -20 = -5*j + 3*m, 3*j - m = -0*m + 12. Factor -g*p**j + 0 + 0*p**3 - 4/3*p + 2*p**2.
-2*p*(p - 1)**2*(p + 2)/3
Let s be (-4)/(-6) - (-5952)/(-8960). Let i(g) be the third derivative of 0*g**3 + s*g**5 + 0 + 0*g + 0*g**4 - 21*g**2. Factor i(a).
a**2/7
Let g(b) = -b**3 - 11*b**2 - 12*b - 8. Let c be g(-10). Let v be c - 6 - 6/3. Factor -16*r**2 + 11*r**2 - v + 4.
-5*r**2
Let h be 13 - -1 - 759/69. Let b(l) be the third derivative of 0*l - 3/16*l**h + 0 + 1/320*l**6 + 15*l**2 + 7/64*l**4 - 1/32*l**5. Solve b(r) = 0.
1, 3
Let v = 101/37 + -266/111. Factor -5*a**2 + 9*a - 13/3 + v*a**3.
(a - 13)*(a - 1)**2/3
Let a = 2550 - 2541. Let h(k) be the first derivative of -3/5*k**4 - a + 0*k - 1/5*k**5 - 1/5*k**2 - 3/5*k**3. Find f such that h(f) = 0.
-1, -2/5, 0
Let h(u) be the second derivative of u**5/4 - 5*u**4/12 - 25*u**3/6 - 15*u**2/2 - 6*u - 135. Factor h(j).
5*(j - 3)*(j + 1)**2
Suppose 4*m = -5*i + 117 + 57, 4*m - 4*i = 156. Let z(n) be the third derivative of 0*n + 1/96*n**4 + 0 + m*n**2 + 1/24*n**3 - 1/120*n**5. Factor z(y).
-(y - 1)*(2*y + 1)/4
Let v(s) be the first derivative of 7/11*s**2 - 1/33*s**6 - 48 - 2/11*s**5 + 4/33*s**3 - 3/11*s**4 + 6/11*s. Let v(u) = 0. What is u?
-3, -1, 1
Let s(o) be the second derivative of 3*o**5/20 + 39*o**4/2 - 79*o**3/2 + 1598*o. What is l in s(l) = 0?
-79, 0, 1
Let p = 75219/61126 - -1/4702. Let q(f) be the first derivative of -192/13*f**2 - 26 + 1024/13*f - 1/26*f**4 + p*f**3. Factor q(i).
-2*(i - 8)**3/13
Let j = 251473 + -251469. Solve -2/3*z**2 - 2/3*z**j + 4/3*z**3 + 0 + 0*z = 0 for z.
0, 1
Let x = -163 - -168. Let m(j) = -45*j**3 + 1115*j**2 + 912*j + 179. Let g(q) = 23*q**3 - 557*q**2 - 456*q - 90. Let n(a) = x*g(a) + 2*m(a). Factor n(k).
(k - 23)*(5*k + 2)**2
Suppose 0 = 4*w - 2*q, 0*q - q = 2*w - 3*q. Let x(j) be the first derivative of -19 + 0*j + 0*j**2 - 1/2*j**6 - 3/14*j**4 + w*j**3 + 27/35*j**5. Factor x(s).
-3*s**3*(s - 1)*(7*s - 2)/7
Let v(q) be the first derivative of -q**4 - 68*q**3/3 + 82*q**2 + 228*q - 912. Factor v(k).
-4*(k - 3)*(k + 1)*(k + 19)
Suppose -3*x = 4*d - 22, 97*x - 101*x = -31*d + 225. Determine w so that d*w + 1/4 + 141/4*w**2 + 99/2*w**3 = 0.
-1/3, -1/22
Factor -34310*s**2 - 3204*s**2 - 143640*s + 308*s**3 - 141512 - 848*s**3 + s**4 - 3*s**4.
-2*(s + 2)**2*(s + 133)**2
Let b be 6/(-63) - (-195)/63. Find i such that 13*i**2 + 18*i**2 - 6*i**b - 4*i**2 + 12 + 0*i**2 - 36*i = 0.
1/2, 2
Let i be (26/(-78))/(36/(-54)*(-2)/(-1296)). Factor -5/2*p**3 - 846*p + i + 91*p**2.
-(p - 18)**2*(5*p - 2)/2
Solve 50 - 252/5*b**2 - 8*b**3 + 8*b + 2/5*b**4 = 0.
-5, -1, 1, 25
Let u(v) be the first derivative of 0*v + 1/42*v**4 - 3/7*v**2 + 24 - 16/63*v**3. Determine y, given that u(y) = 0.
-1, 0, 9
Let l(v) be the third derivative of -v**2 - 11/8*v**3 + 81 + 0*v - 1/80*v**5 + 3/8*v**4. Factor l(j).
-3*(j - 11)*(j - 1)/4
Let t(o) = -6*o**3 - 144*o**2 - 7. Let l(n) = -55*n**2 + 1427*n - 25*n**2 - 1427*n + 8*n**2 - 3 - 3*n**3. Let w(r) = -7*l(r) + 3*t(r). Factor w(i).
3*i**2*(i + 24)
Let p = 6/443075 + 886072/5759975. Suppose 0 + p*c**3 + 12/13*c**2 - 32/13*c = 0. What is c?
-8, 0, 2
Suppose -4*q = 2*f - 8, -5*q = f - 0*f - 4. Suppose -w = 3*h - 33 - 7, -f*h = -4*w - 80. What is u in 4 + h*u + 4 - 4 + 5 - 6*u**2 = 0?
-1/2, 3
Find t such that -35*t**3 + 260 - 600*t + 345*t**2 + 35*t + 68*t**4 - 73*t**4 = 0.
-13, 1, 4
Let g be (-6)/14 + (-102)/(-42). Solve 35*v**4 - 10*v + 60*v**3 + 507 - 507 + 15*v**g = 0 for v.
-1, 0, 2/7
Factor -102 - 557/4*d**2 - 445/2*d - 1/4*d**4 - 19*d**3.
-(d + 1)**2*(d + 6)*(d + 68)/4
Let v(p) be the third derivative of -p**5/80 - 485*p**4/96 - 161*p**3/12 - 46*p**2 - 2. Suppose v(k) = 0. Calculate k.
-161, -2/3
Let f(h) be the second derivative of h**6/10 - 24*h**5/5 + 61*h**4/4 - 15*h**3 + 6*h - 45. Determine q so that f(q) = 0.
0, 1, 30
Factor 1060/7*j + 2/7*j**2 + 0.
2*j*(j + 530)/7
Determine l, given that 60*l - 170680*l**5 - 20*l**2 + 170685*l**5 + 3*l**3 - 48*l**3 = 0.
-2, 0, 1, 3
Factor 1/2 - 5/6*n + 1/6*n**3 + 1/6*n**2.
(n - 1)**2*(n + 3)/6
Suppose 31 = 4*v - d, 22 = v + d + 8. Factor -v*y**3 - 31*y**3 - y - 36*y**2 - 7*y - 12*y**4.
-4*y*(y + 1)*(y + 2)*(3*y + 1)
Factor 76*p**2 + 128*p**4 - 6*p**2 + 61*p**3 + 129*p**4 - 258*p**4 + 8*p**3.
-p**2*(p - 70)*(p + 1)
Determine o, given that 51*o**2 - 36*o + 0 + 3/2*o**4 - 33/2*o**3 = 0.
0, 1, 4, 6
Let j(s) be the first derivative of s**7/315 - s**6/90 + s**2/2 - 2*s + 46. Let y(q) be the second derivative of j(q). What is h in y(h) = 0?
0, 2
Suppose 57 = 5*a + 3*p, 2*a - 52 = -2*a + 4*p. Let g(y) be the second derivative of -8*y - 2*y**3 - a*y**2 + 7/8*y**4 - 3/40*y**5 + 0. Factor g(j).
-3*(j - 4)**2*(j + 1)/2
Let z = 1444 + -7211/5. Let a(h) be the second derivative of 7/10*h**6 - 4*h + z*h**5 - 53/4*h**4 + 0 + 21*h**3 - 12*h**2. Factor a(p).
3*(p - 1)**2*(p + 4)*(7*p - 2)
Let x be (0 + -5)/((-10)/12). Suppose -17*l = x*l - 69. Solve 0*p**2 + 0*p + 3/2*p**l + 1/2*p**4 + 0 = 0 for p.
-3, 0
Let k be 22/352 - (-2114)/2016. Let 4/9 + 4/9*y**2 + k*y - 8/9*y**4 - 8/9*y**3 - 2/9*y**5 = 0. What is y?
-2, -1, 1
Let b(j) be the third derivative of 0*j + 0*j**4 - 1/210*j**7 + 1/120*j**6 + 0*j**3 + 0 + 0*j**5 - 29*j**2. Suppose b(l) = 0. Calculate l.
0, 1
Let n(f) = -12*f**2 - 145*f - 12. Let s be 2/(-12) + 5822/(-492). Let j be n(s). Suppose -1/4*p**3 + 1/4*p**4 + 1/4*p - 1/4*p**2 + j = 0. Calculate p.
-1, 0, 1
Suppose -4*v = -a - 87, -v + 3*a - 106 = -103. Solve -242/3*q**2 + 88*q - v = 0.
6/11
Let g(x) be the third derivative of -1/6*x**5 - 4 + 65/24*x**4 + 3*x**2 - 5*x**3 + 0*x. Let g(k) = 0. What is k?
1/2, 6
Let q(x) = -x**2 + 18*x - 61. Let i be q(10). Factor -29*r**4 - 6*r**2 + 2*r**5 + 0*r + 0*r + 14*r**3 + i*r**4.
2*r**2*(r - 3)*(r - 1)**2
Suppose 0 = 3*y + 2*w - 18, 5*w - 22 - 3 = -5*y. Suppose 0 = p - 0*p - y. Factor p - 3*q**2 - q**2 - 3*q**2 + 3*q**2 + 4*q.
-4*(q - 2)*(q + 1)
Let i(s) be the third derivative of 1/60*s**5 + 0*s**3 + 0*s + 0 + 17/8*s**4 + 103*s**2. What is r in i(r) = 0?
-51, 0
Suppose 4*y - 8 = 0, -2*y + 9 = 2*i - i. Let u be (i/15)/((-2)/(-66)). Find m, given that -6*m + 12*m**2 - 10 - 6*m**2 - 9*m - u*m**2 = 0.
-2, -1
Let q(b) be the first derivative of -6*b**6 + 1248*b**5/5 + 443*b**4 - 1592*b**3/3 + 144*b**2 - 239. Let q(d) = 0. Calculate d.
-2, 0, 1/3, 36
Let q(a) be the third derivative of 7*a**4/24 - 9*a**3