z - 4)**2/3
Factor -1/2*l**3 + 15/2 + 17/2*l + 1/2*l**2.
-(l - 5)*(l + 1)*(l + 3)/2
Suppose 4 = 80*q - 79*q. Let a be (-8)/(-28) - 4/(84/(-57)). Determine k, given that 6*k**2 - k**4 - 4*k**3 + 8*k**3 - a*k**4 - 2*k**2 - q*k**5 = 0.
-1, 0, 1
Let w(m) be the second derivative of 0*m**2 + 0 + 1/84*m**7 + 1/8*m**4 - 1/20*m**6 + 1/40*m**5 - 18*m - 1/6*m**3. Factor w(t).
t*(t - 2)*(t - 1)**2*(t + 1)/2
Suppose 3*i = -5*f + 2*i + 145, 2*f - i - 51 = 0. Let o(n) = -24*n**3 + 30*n + 48. Let t(h) = -5*h**3 + 6*h + 10. Let q(s) = f*t(s) - 6*o(s). Factor q(m).
4*(m - 2)*(m + 1)**2
Let g = -1926 - -1977. Let p = g - 48. Suppose 0*h + 2/15*h**p - 6/5*h**2 + 0 = 0. Calculate h.
0, 9
Let f be (55 - -1) + (-3370 - -3316). Find c, given that 17/4*c**4 + 47/2*c**3 + 111/2*c**f + 225/4*c + 1/4*c**5 + 81/4 = 0.
-9, -3, -1
Let v(y) be the third derivative of y**8/1680 - y**7/50 + 33*y**6/200 - 9*y**5/20 - 958*y**2. Factor v(n).
n**2*(n - 15)*(n - 3)**2/5
Suppose -2*j + 5*d - 141 = 0, 5*j - 2*d + 309 = -4*d. Let a be (-2)/6 + 39*(-1)/j. Factor -a*z**2 - 50/7 - 20/7*z.
-2*(z + 5)**2/7
Let s(u) be the third derivative of -u**5/150 + 193*u**4/6 - 186245*u**3/3 - u**2 + 2014. Factor s(o).
-2*(o - 965)**2/5
Let q(t) be the second derivative of 3/40*t**5 + 0*t**2 - 159*t + 0*t**3 + 1/20*t**6 - 1/8*t**4 + 0 - 1/28*t**7. Find v such that q(v) = 0.
-1, 0, 1
Factor -10*w**2 + 12 - 48*w**3 + 31*w**2 - 11*w + 53*w**2 + 94*w**2 + 104*w.
-3*(w - 4)*(4*w + 1)**2
Factor 684*o**4 - 4*o**5 - 14539*o**3 + 28900*o**2 + 0*o**5 - 19140*o**3 + 4099*o**3.
-4*o**2*(o - 85)**2*(o - 1)
Let b be 3/9*1582/(-728). Let u = -3/52 - b. Factor 0 + u*m**3 + 1/3*m**4 - 2/3*m - 1/3*m**2.
m*(m - 1)*(m + 1)*(m + 2)/3
Let g(w) be the first derivative of -w**6/10 + w**5/5 + 11*w**4/20 - 7*w**3/5 + 2*w**2/5 + 4*w/5 + 150. Solve g(q) = 0.
-2, -1/3, 1, 2
Let m(z) be the first derivative of -3/10*z**5 + 1/12*z**6 + 62 + 3/8*z**4 + 0*z**2 - 1/6*z**3 + 0*z. Factor m(d).
d**2*(d - 1)**3/2
Let o(n) be the first derivative of 126 + 1/12*n**3 + 841*n + 29/2*n**2. Find p such that o(p) = 0.
-58
Let x = -1108577/2 + 554296. Factor 33/2 - 84*d + x*d**2.
3*(d - 11)*(5*d - 1)/2
Let a(v) = -61*v**2 - 1110*v - 214. Let k be a(-18). Find q such that 35/2*q**4 - 30*q**k - 47*q**3 + 0 + 36*q - 3/2*q**5 = 0.
-1, 0, 2/3, 6
Let r(o) be the third derivative of -o - 2/3*o**4 - 1/4*o**8 + 5*o**2 - 8/15*o**5 + 5/6*o**6 + 0 + 16/105*o**7 + 0*o**3. What is i in r(i) = 0?
-1, -2/7, 0, 2/3, 1
Let m = -96823 - -1065205/11. Determine y so that m*y - 200/11*y**4 - 16/11 - 492/11*y**2 + 610/11*y**3 = 0.
1/4, 2/5, 2
Let f(a) be the third derivative of a**5/100 + 89*a**4/40 + 44*a**3/5 + 220*a**2 - 2*a. Factor f(z).
3*(z + 1)*(z + 88)/5
Let w(y) be the first derivative of y**3 - 456*y**2 - 915*y + 4356. Solve w(h) = 0 for h.
-1, 305
Let q(a) be the second derivative of -a**7/42 + a**6/3 - 29*a**5/20 + 5*a**4/3 + 1665*a. Factor q(l).
-l**2*(l - 5)*(l - 4)*(l - 1)
Let v(r) be the first derivative of -r**3 - 24*r**2 + 675*r - 1165. Let v(c) = 0. What is c?
-25, 9
Let v(z) = z**2 - 26*z - 26. Let r be v(27). Let q be (25/8)/r + 1/(-8). Find m, given that -8/9*m - 8/9*m**2 + 2/3*m**q + 2/9*m**5 + 8/9*m**4 + 0 = 0.
-2, -1, 0, 1
Suppose 3*z - 99 = 69. Suppose -7*l + 5*l = -z. Factor -l*y**2 + 48 + 16*y**2 - 24*y + 15*y**2.
3*(y - 4)**2
Let h(k) be the second derivative of k**4/84 + 17*k**3/42 + 342*k - 3. What is x in h(x) = 0?
-17, 0
Let y(n) = 16*n**2 - n + 4. Let p(j) = 2*j**2 - j. Let s = 506 - 492. Let q(d) = s*p(d) - 2*y(d). Find a, given that q(a) = 0.
-2, -1
Let y = -186 - -195. Let 74 - y*p**2 - 125 + 63 + 3*p**3 = 0. Calculate p.
-1, 2
Let y(h) be the second derivative of 128/33*h**4 + 1/11*h**2 - 12 - 2*h - 32/33*h**3. Factor y(o).
2*(16*o - 1)**2/11
Find z such that 196*z**2 - 396*z + 4/3*z**3 + 596/3 = 0.
-149, 1
Let g(l) = l**2 + 3*l - 9. Suppose -8*t = 18 + 22. Let p be g(t). Find y such that -p + y**2 + 10*y**3 - 11*y**3 + 6*y - 5*y = 0.
-1, 1
Let a(x) = -6*x**3 + 8*x**2 + 14*x + 2. Let d(z) = 24*z**2 - 19*z**3 + 7 + 0*z**4 - 79*z - 48*z + z**4 + 168*z. Let y(t) = -7*a(t) + 2*d(t). Factor y(i).
2*i*(i - 2)*(i + 2)**2
Suppose -1990*r + 142*r**2 + 4274*r + 474*r**2 - 28 - 2168*r + 296*r**2 = 0. Calculate r.
-1/4, 7/57
Suppose 3*d - 26 - 64 = 0. Suppose -2*k**5 + 217*k**3 + 7*k**5 - 192*k**3 - d*k**4 = 0. Calculate k.
0, 1, 5
Suppose 2*m - 3 + 9 = 0, -4*r - 2*m = 6. Let d(u) be the first derivative of r*u - 2/13*u**2 + 2/39*u**3 - 11. Suppose d(h) = 0. What is h?
0, 2
Determine n, given that -45*n + 1/2*n**4 - 45/4*n**3 - 13 - 175/4*n**2 = 0.
-2, -1, -1/2, 26
Let l = 2237 + -2234. Let m(w) be the second derivative of -1/42*w**4 + 2/21*w**l + 0 + 20*w - 1/7*w**2. Factor m(r).
-2*(r - 1)**2/7
Let z be -64*(-60)/(-75)*(-16)/32. What is o in z - 36/5*o**3 - 16/5*o**2 + 144/5*o - 4/5*o**4 = 0?
-8, -2, -1, 2
Let s(v) = -v**3 - 3*v**2 + 11*v - 9. Let j be s(4). Let c = 95 + j. Find r, given that -65*r**2 + 1712*r - 5*r**4 + 30*r**3 - c - 1652*r - 2 = 0.
1, 2
Let i(c) = -178*c**4 - 293*c**3 + 490*c**2 - 104*c. Let g(k) = -60*k**4 - 98*k**3 + 164*k**2 - 36*k. Let u(s) = -17*g(s) + 6*i(s). Determine x so that u(x) = 0.
-3, 0, 1/12, 1
Let q(x) be the first derivative of -4*x**5/35 + 14*x**4 - 3328*x**3/7 + 9216*x**2/7 + 3344. Factor q(d).
-4*d*(d - 48)**2*(d - 2)/7
Factor 480/17 + 76/17*y - 2/17*y**3 - 14/17*y**2.
-2*(y - 6)*(y + 5)*(y + 8)/17
Let n(q) be the first derivative of q**3/9 + 17*q**2/6 + 16*q/3 - 1679. Factor n(t).
(t + 1)*(t + 16)/3
Let c(z) be the second derivative of -10*z + 5/6*z**4 - 12*z**2 + 4/3*z**3 + 0 + 4/15*z**5 + 1/30*z**6. Let h(i) be the first derivative of c(i). Factor h(u).
4*(u + 1)**2*(u + 2)
Let x be (-14 + 10)/(0 - 16). Let c(y) be the second derivative of -1/48*y**4 - 5*y - x*y**3 + 0 - 5/8*y**2. Let c(l) = 0. What is l?
-5, -1
Suppose 0 = 8*g - 5*g - 2*s, g + 7 = 3*s. Let z be 36/72*g/5. Factor -z*k**5 + 0 - 6/5*k**3 - 1/5*k - 4/5*k**4 - 4/5*k**2.
-k*(k + 1)**4/5
Let x = 16 + 7. Let h(s) = -2*s + 17*s + 6*s + x*s - 9*s**2 - 80. Let j(r) = 55*r**2 - 265*r + 480. Let y(a) = 25*h(a) + 4*j(a). Factor y(w).
-5*(w - 4)**2
Let d be 4/6*3344/1056 - (-3)/(-27). Find w such that -2/13*w**3 + 4/13*w**4 + 0*w - 2/13*w**5 + 0 + 0*w**d = 0.
0, 1
Let o(y) be the first derivative of 2/5*y**2 + 0*y - 112 + 7/10*y**4 - 4/25*y**5 - 14/15*y**3. Suppose o(p) = 0. Calculate p.
0, 1/2, 1, 2
Let g(j) be the first derivative of -j**6/240 - j**5/16 - 25*j**4/96 - 89*j - 184. Let h(w) be the first derivative of g(w). Factor h(p).
-p**2*(p + 5)**2/8
Let o(q) = -398*q - 9549. Let a be o(-24). Let u(m) be the third derivative of -5/6*m**a + 0*m + 20*m**2 - 1/20*m**5 - 3/8*m**4 + 0 + 1/120*m**6. Factor u(l).
(l - 5)*(l + 1)**2
Factor 2810/7*c + 0 + 2/7*c**2.
2*c*(c + 1405)/7
Let d(l) = -46*l**2 + 767*l + 1604. Let c(f) = 5*f**2 - 85*f - 178. Let r(t) = 19*c(t) + 2*d(t). Solve r(h) = 0 for h.
-2, 29
Let j be ((-8)/6)/((-5)/(-29 + 24) + (-17)/3). Factor -j*k**3 - 330/7*k - 8*k**2 + 900/7.
-2*(k - 2)*(k + 15)**2/7
Suppose 64/7*k + 0 - 24/7*k**2 - 36/7*k**3 - 4/7*k**4 = 0. Calculate k.
-8, -2, 0, 1
Suppose -1074*c - 18 = -1076*c + 3*m, 3*c = -m + 5. Find i, given that 1/3*i**5 - 1/3*i**4 + 5/3*i - 2/3*i**2 + 1 - 2*i**c = 0.
-1, 1, 3
Let q(z) be the first derivative of z**7/840 - z**6/40 - 5*z**3/3 - 5*z**2 - 60. Let o(s) be the third derivative of q(s). Find p such that o(p) = 0.
0, 9
Let b(f) be the first derivative of -f**4/10 - 422*f**3/15 - 832*f**2/5 - 1656*f/5 + 3880. Find y such that b(y) = 0.
-207, -2
Factor -4*y**3 + 965*y**2 - 2127*y - 741*y**2 + 504*y + 19294 + 6306 - 2537*y.
-4*(y - 20)**2*(y - 16)
Suppose 4*k = -3*v + 27, -5*k + 17 = 3*v - 7. Let -18*b**5 + 44*b**4 + 26*b - 8*b**3 - v - 36*b**2 + 9 - 4*b**4 = 0. Calculate b.
-1, 2/9, 1
Let l(w) = 3*w - 48. Let a be l(16). Find q such that -40*q - 5*q**4 + 25*q**3 - q**2 + 6*q**2 + 20 - 5*q**5 + a*q**2 + 0 = 0.
-2, 1
Suppose 9*a = 6*a - 6, 3*k + 3*a = 3. Find g, given that -7*g**3 - 6*g**4 + 5*g**4 + 2*g**3 + g**k = 0.
-4, 0
Suppose -2*t + 6 = -4*d, 5*t - d = 14 + 1. Factor -t*v**4 + 28*v**3 - 7836*v**2 - v**4 + 7804*v**2 - 64*v.
-4*v*(v - 4)**2*(v + 1)
Find n such that -3008*n**4 - 16 + 388*n + 947*n**2 + 8*n**3 + 2802*n**4 - 329*n**2 = 0.
-1, 4/103, 2
Suppose -11*o - 4*z = -7*o +