*(y - 7)*(y + 1)
Suppose -15*i + 0*i = 60. Let t(o) = -o**3 + 5*o + 4. Let c(q) = -q**3 - q**2 + 4*q + 4. Let k(d) = i*c(d) + 3*t(d). Factor k(n).
(n - 1)*(n + 1)*(n + 4)
Let c be ((-461)/1383 - (-71)/6) + -1*8. Let n(q) be the first derivative of 36 - 18*q - 3/8*q**4 - c*q**3 - 12*q**2. Solve n(g) = 0.
-3, -2
Suppose 553352/7 + 2/7*w**2 + 2104/7*w = 0. Calculate w.
-526
Let g(h) be the first derivative of -1/5*h**2 + 91 + 0*h - 20/3*h**3 + 51/10*h**4. Suppose g(d) = 0. Calculate d.
-1/51, 0, 1
Suppose 9*l - 13*l - 2 = 2*a, 4*a = -5*l - 1. Let o be (-3820)/573*(l - 0)/5. Find w such that o*w**2 + 32/3 - 8*w = 0.
2, 4
Let n = -20941 - -314119/15. Let h(b) be the first derivative of -24/5*b - 14/5*b**2 - 36 - n*b**3. Factor h(k).
-4*(k + 1)*(k + 6)/5
Let i(o) be the first derivative of o**5/240 + o**4/4 + 6*o**3 - 287*o**2/2 - 117. Let s(q) be the second derivative of i(q). Find l such that s(l) = 0.
-12
Let d(u) = u**4 + 4*u**3 - 8*u**2 - 3*u + 6. Let t(y) be the first derivative of -y**5/5 + y**2/2 - 27. Let c(v) = -d(v) + t(v). Factor c(w).
-2*(w - 1)**2*(w + 1)*(w + 3)
Suppose -4*o - 74 = -2*x - 8*o, 0 = 2*o - 2. Suppose 6*c - 5 = c - t, 0 = 5*c - 5*t - x. Factor 0*r**4 + 15*r**3 + 5*r + 5*r**4 - 141*r**c + 156*r**2.
5*r*(r + 1)**3
Suppose -1196 + 466 = 10*k. Let z = 76 + k. Let -45*j**z - 60*j - 11 + 91*j**2 + 38*j**2 - 4*j**2 - 9 = 0. Calculate j.
-2/9, 1, 2
Let i(g) be the first derivative of -35*g**3 + 1891*g - 62 - 87*g**2 + 387*g + 790*g + 36*g**3 - 545*g. Find n, given that i(n) = 0.
29
Suppose 60 = 6*l + 4*l. What is c in 356*c - 108*c - l*c**2 - 4098 + 254 + 2*c**2 = 0?
31
Let g(q) be the second derivative of -q**6/180 - q**5/90 - 149*q**2 - 222*q. Let x(v) be the first derivative of g(v). Suppose x(w) = 0. Calculate w.
-1, 0
Let n = -168 - -168. What is f in -100*f**5 + 2*f**3 + 2*f**3 + 180*f**4 - 164*f**2 + 0*f**2 - 16 + n + 96*f = 0?
-1, 2/5, 1
Let b = 271/80 - 35/16. Let q be 18/5 + 3657/(-7245) + 2/(-21). Factor -3/5*y**q + b + 3/5*y - 6/5*y**2.
-3*(y - 1)*(y + 1)*(y + 2)/5
Let o be (-4*(-1)/(-6))/(8/(-12)). Let b be o + (-2)/(-16)*12. What is z in -5*z**3 + 0 + 0*z - b*z**4 + 15/2*z**2 = 0?
-3, 0, 1
Suppose -u - 188 = -196. Let g(h) = 4*h**3 - 31*h**2 - 4*h + 8. Let p be g(u). Determine f, given that -5/2*f**4 - p + 80*f - 60*f**2 + 20*f**3 = 0.
2
Let h(x) be the second derivative of x**5/10 - 5*x**4/6 - 17*x**3/3 + 21*x**2 + 1071*x. Find j such that h(j) = 0.
-3, 1, 7
Let n(r) be the third derivative of r**7/630 + 19*r**6/90 + 677*r**5/180 + 565*r**4/36 + 88*r**3/3 + 15*r**2 + 37. Solve n(v) = 0.
-66, -8, -1
Let p be 31284/(-8295) + 78/14. Factor -2*y**2 + 0 + p*y + 1/5*y**3.
y*(y - 9)*(y - 1)/5
Suppose 2*n + 2*r = -2*n + 4, n + 3*r + 4 = 0. Find y such that -152*y**4 - 15*y**n - y**2 - 8*y**3 + 160*y**4 + 8 + 4*y**5 + 4*y = 0.
-2, -1, 1
Factor 1/11*n**2 - 39/11*n + 170/11.
(n - 34)*(n - 5)/11
Let x(b) be the first derivative of -4*b**3/3 - 564*b**2 + 1132*b - 2798. Factor x(s).
-4*(s - 1)*(s + 283)
Let g(y) be the third derivative of -7 + 1/540*y**6 + 0*y - 4*y**2 + 1/108*y**4 + 1/135*y**5 + 0*y**3. Factor g(q).
2*q*(q + 1)**2/9
Let s(y) be the second derivative of 1/10*y**5 - 1/42*y**7 + 1/30*y**6 - 1/6*y**3 - 1/6*y**4 + 0 + 1/2*y**2 - 18*y. Determine m, given that s(m) = 0.
-1, 1
Let l be 133*52/988*(-2)/(-91). Factor 2*f + l*f**4 + 8/13 + 14/13*f**3 + 30/13*f**2.
2*(f + 1)**3*(f + 4)/13
Let q(v) be the second derivative of 1/10*v**6 + 0 + 31*v + 3/4*v**4 - 3/4*v**5 - 6*v**2 + 5/2*v**3. Factor q(s).
3*(s - 4)*(s - 1)**2*(s + 1)
Suppose 10*r - 284 = 86. Let x(j) = 5*j**2 - 38 + r + 26 + 33*j. Let y(n) = 5*n**2 + 34*n + 25. Let d(c) = -4*x(c) + 3*y(c). Factor d(g).
-5*(g + 1)*(g + 5)
Let y = 659 - 409. Suppose -5*j - y = -10*j. Factor -j*f**2 + 3*f - 48*f**2 + 95*f**2.
-3*f*(f - 1)
Let z be (0 - 9)*1/(-3). Factor -z*x**2 - 4*x**2 + 24*x + 3*x**2 - 44 + 24.
-4*(x - 5)*(x - 1)
Let f(y) = 13242*y - 79450. Let l be f(6). Factor -4/3 - 1/3*x**l + 5/3*x**3 + 1/3*x**4 - 8/3*x - 1/3*x**5.
-(x - 2)**2*(x + 1)**3/3
Suppose 1170*j - 1175*j + 64 = 3*n, 4*j - 59 = -3*n. Suppose 4/5*l**2 - 12/5*l**3 - 2/5 + 6/5*l**j - 2/5*l**4 + 6/5*l = 0. What is l?
-1, 1/3, 1
Let m(o) be the third derivative of -o**5/210 - 3*o**4/14 - 1774*o**2. Factor m(f).
-2*f*(f + 18)/7
Let y be ((-6)/(-20))/((-376)/(-940)). Let t(p) be the first derivative of p**3 - 9/4*p - 17 - 3/20*p**5 + 3/8*p**4 - y*p**2. Solve t(j) = 0.
-1, 1, 3
Let g(v) be the third derivative of v**6/64 - 401*v**5/80 + 5*v**4 - 415*v**2 - 1. Factor g(i).
3*i*(i - 160)*(5*i - 2)/8
Let k(l) = 9*l**2 + 107*l + 106. Let y(p) = -3*p**2 - 36*p - 36. Let c(d) = 3*k(d) + 8*y(d). Let c(t) = 0. Calculate t.
-10, -1
Suppose 0*j + 2*t = -j - 26, 0 = -3*j + 5*t - 45. Let c = 24 + j. Find z, given that 10*z**2 + 14*z**3 - c - 4*z**2 - 9*z**4 - 14*z + z**4 + 6*z**2 = 0.
-1, -1/4, 1, 2
Let n = 276 + -81. Let s = 198 - n. Let -2/3*p + 4/3*p**2 + 0 - 1/2*p**4 - 1/6*p**s = 0. Calculate p.
-2, 0, 2/3, 1
Let c(d) = -8*d**2 - 42*d - 162. Let z(o) = -41*o + 50*o**2 + 68 - 106 - 124 - 57*o**2. Let k(x) = -5*c(x) + 6*z(x). Factor k(l).
-2*(l + 9)**2
Let b(n) be the first derivative of -1215*n**6/2 - 31833*n**5 - 64530*n**4 - 125320*n**3/3 - 12200*n**2 - 1680*n + 3804. Determine v, given that b(v) = 0.
-42, -1, -2/9
Let s = -8177 + 8181. Let t(j) be the third derivative of -1/30*j**5 + 0 + 0*j + 0*j**s + 0*j**3 + 1/60*j**6 - 23*j**2. Factor t(o).
2*o**2*(o - 1)
Determine p, given that 20/3*p**5 - 14*p + 129*p**4 - 226*p**3 + 313/3*p**2 + 0 = 0.
-21, 0, 1/4, 2/5, 1
Determine k, given that -1020 + 2395*k**2 + 170*k**3 - 2155*k**2 + 785*k - 175*k**3 = 0.
-4, 1, 51
Let q be 310/35 + -9 - 7381/(-3843). Determine p so that -4*p**3 - 4*p**2 - 1/9*p + q*p**4 + 1/3 = 0.
-1/2, 1/4, 3
Let d(z) be the third derivative of z**8/672 + 13*z**7/210 - 9*z**6/80 + 3*z**2 + 9*z - 40. Determine g so that d(g) = 0.
-27, 0, 1
Suppose 0 = 3*t - 111 + 96. Let c(y) be the second derivative of -18*y + 1/12*y**3 + 0 - 1/40*y**t + 0*y**4 + 0*y**2. Find v such that c(v) = 0.
-1, 0, 1
Let g(t) = 5*t**2 + 184*t - 1004. Let m(q) = 4*q**2 + 122*q - 667. Let h(p) = 5*g(p) - 7*m(p). Factor h(d).
-3*(d - 13)*(d - 9)
Suppose f = -3*g + 4, -2*g - 2*g - 3*f + 2 = 0. Suppose -l - 3*q = -352, q + 318 + 386 = g*l. Factor -l*p**2 - 547*p**3 - 153*p**3 - 196*p**4 - 9*p - 39*p.
-4*p*(p + 3)*(7*p + 2)**2
Let s = -254105 - -1016477/4. Suppose -51/2*c**2 + 21/4*c**4 - s*c**3 - 6*c + 0 = 0. What is c?
-1, -2/7, 0, 4
Let q = -378/367 + 743663/4037. Let w = q - 183. Factor -6/11*k + 6/11*k**3 - w*k**2 + 2/11.
2*(k - 1)*(k + 1)*(3*k - 1)/11
Let b(y) = y**3 - 26*y**2 - 2*y + 69. Let p be b(26). Suppose -2*r = -2, -2*r - 1 = x - 6. Let -6*g**2 + p*g + 7*g**4 - 17*g - 4*g**4 - 3*g**x = 0. Calculate g.
-1, 0, 2
Let v = -59 + 158. Suppose 0*h**5 + 33*h**2 - 132*h**4 + 3*h**5 + v*h**4 - 3*h**3 = 0. Calculate h.
-1, 0, 1, 11
Suppose 25*l - 74 - 126 = 0. What is m in l*m**3 + 9*m**4 + 6*m**5 + 2*m**4 + 5*m**4 = 0?
-2, -2/3, 0
Let a(t) = -t**3 + 7*t**2 + 2*t - 9. Let l be a(7). Let s = 2465069/4 - 616266. Factor -5/2*x**3 + 0*x**2 - 5/4*x**4 + 0 + s*x**l + 0*x.
5*x**3*(x - 2)*(x + 1)/4
Let w = 721/2880 + -1/2880. Find c such that 0 - 3*c + w*c**2 = 0.
0, 12
Let q(f) be the first derivative of f**4/4 + 40*f**3/3 - 43*f**2/2 - 82*f - 752. Determine w, given that q(w) = 0.
-41, -1, 2
Let t(f) be the second derivative of 38*f + 0 - 19/24*f**4 + 7/4*f**2 - 3/40*f**5 + 5/4*f**3. Factor t(r).
-(r - 1)*(r + 7)*(3*r + 1)/2
Let p(z) = 21 - 3*z + 0*z + 6*z - 4*z. Let a be p(0). Factor -8*v - a*v**3 + 5*v**2 + 10*v**3 + 10*v**3 + 4.
-(v - 2)**2*(v - 1)
Let c(r) be the first derivative of -r**6/6 + 43*r**5/5 - 10*r**4 - 28*r**3 - 2539. Factor c(g).
-g**2*(g - 42)*(g - 2)*(g + 1)
Let l be 120/21 - 26/(-91). Suppose -l*f + 16 = 2*f. Find p, given that 1/6*p**3 + 3/2*p + 0 + p**f = 0.
-3, 0
Let f(l) be the second derivative of -5*l**7/42 + l**6 + 2*l**5 - 5*l**4/2 - 35*l**3/6 - 7032*l. What is m in f(m) = 0?
-1, 0, 1, 7
Determine z so that 15999 + 126*z + 17849 + 618*z + 3*z**2 - 9153 + 21433 = 0.
-124
Determine d so that 0 - 2*d**4 + 2*d**2 - 21/2*d + 11*d**3 - 1/2*d**5 = 0.
-7, -1, 0, 1, 3
Let t(y) be the first derivative of 4*y**5/25 + 144*y**4/5 - 4*y**3/15 - 288*y**2/5 + 5825. What 