r t.
-2, 0, 2
Suppose 0 = 69*j - 65*j + 4*i - 20, -j - 1 = -i. Factor -9/4*s**j - 15/4*s**4 + 0 + 0*s + 21/4*s**3 + 3/4*s**5.
3*s**2*(s - 3)*(s - 1)**2/4
Let q = 3218 + -28960/9. Solve 4/9*k**2 + q*k - 2/9*k**3 - 4/9 = 0.
-1, 1, 2
Let s(l) be the first derivative of 25/2*l**2 + 5/2*l**6 - 10*l**4 - 4*l**5 + 10*l**3 - 10*l - 1. Determine j so that s(j) = 0.
-1, 1/3, 1, 2
Let o(s) be the second derivative of 9*s + 0 - 1/8*s**4 + 1/3*s**3 + 2*s**2 - 1/12*s**5. Let g(v) be the first derivative of o(v). Find j such that g(j) = 0.
-1, 2/5
Let p be 1 + ((-18)/(-27))/(4/18). Let f(a) be the third derivative of 0 + 0*a + 5/36*a**5 + 2/9*a**3 + 5/18*a**p + 5*a**2. What is d in f(d) = 0?
-2/5
Let c = -12637/20 - -632. Let z(m) be the second derivative of 4*m - 1/2*m**3 - c*m**5 + 0 + 0*m**2 + 1/2*m**4. Factor z(u).
-3*u*(u - 1)**2
Let o be (28/21 - 1/3) + 1. Suppose -2*t + 0*t = 3*z + 8, -3*z = -5*t + 22. Let -c**2 + 4*c**t - o*c**2 = 0. Calculate c.
0
Let u be (-27)/84*(-928)/174. Determine g, given that -4/7*g**2 - u*g**3 + 12/7*g + 4/7*g**4 + 0 = 0.
-1, 0, 1, 3
Let o(g) be the second derivative of 9*g**5/20 + 2*g**4 - 5*g**3/2 - 9*g**2 - 125*g + 2. Factor o(q).
3*(q - 1)*(q + 3)*(3*q + 2)
Let u be (32/50)/((-6)/(-705)). Let m = -75 + u. Determine r, given that 6/5*r**3 - m*r**5 + 1/5*r**4 - 3/5 + 2/5*r**2 - r = 0.
-1, 1, 3
Suppose -15 = 81*l - 86*l. Let -2*g**3 - 10*g**2 - 6*g + g**l + g**2 + 16*g**3 = 0. Calculate g.
-2/5, 0, 1
Let l be 5/7 + -1 + (-48)/(-21). Factor -300*b**3 - 29*b**2 + 86*b**l + 48*b**2 + 125*b**4 - 10*b.
5*b*(b - 2)*(5*b - 1)**2
Let m = -451 - -903/2. Let f(z) be the first derivative of m*z**2 - 1/2*z + 7 - 1/6*z**3. Solve f(v) = 0 for v.
1
Let d be 5/2*(-38)/95. Let l be (-4 + 2)/(d/17). Factor -2*y**3 + y**2 + 4*y - 18 - 15*y**2 - l*y.
-2*(y + 1)*(y + 3)**2
Let n(q) = 24*q**5 + 198*q**4 + 363*q**3 + 255*q**2 + 57*q. Let m(a) = a**5 - a**2 + a. Let f(i) = 3*m(i) + n(i). Solve f(t) = 0.
-5, -1, -2/3, 0
Find o such that 19*o**5 - 39*o**5 + 16*o**3 - 16*o**2 + 4*o**4 + 16*o**5 = 0.
-2, 0, 1, 2
Let v(c) be the second derivative of -7*c**5/4 - 5*c**4 + 10*c**3/3 - 91*c - 1. Factor v(t).
-5*t*(t + 2)*(7*t - 2)
Let b be 279/27 + 1/(-3). Find v, given that -3*v + 4*v**4 + 3*v + b*v**5 - 12*v**5 = 0.
0, 2
Let s be (5 + -3)*(15/70)/(2/7). Find p such that 0 + s*p**2 + 3/2*p = 0.
-1, 0
Let a be (-80)/15*(-3)/2. Suppose 2*p = -4*o + a, 2*o - 4*o = 2*p - 2. Find b such that -2*b**5 + 3*b**4 + 3*b**3 + 0*b**3 + 5*b**5 - 6*b**3 - o*b**2 = 0.
-1, 0, 1
Factor -3*v**3 - 291572 + 37403 - 20736*v - 77607 - 432*v**2.
-3*(v + 48)**3
Let k = -166 + 171. Solve 25*s**4 + 2*s**2 + 40*s - 5*s**k + s**2 - 20 - 35*s**3 - 5*s**2 - 3*s**2 = 0 for s.
-1, 1, 2
Let g(v) be the first derivative of v**3 - 8*v**2 + 6*v**2 + 3*v - 8 - v**2. Let g(k) = 0. What is k?
1
Let j(p) be the second derivative of -1/2*p**3 + 0 - p**2 + p - 1/12*p**4. Let j(f) = 0. Calculate f.
-2, -1
Let h(p) = 5*p**2 + 58*p - 193. Let q(f) = -85*f**2 - 990*f + 3280. Let w(y) = -35*h(y) - 2*q(y). Factor w(l).
-5*(l - 3)*(l + 13)
Let i = 7859 + -7859. What is z in 2/13*z**2 + 4/13*z + i = 0?
-2, 0
Let b(t) be the third derivative of -t**8/392 - t**7/147 + t**6/105 + 2*t**5/105 + 50*t**2. Find m, given that b(m) = 0.
-2, -2/3, 0, 1
Let f be (-2 - (-8)/3)/(140/252). Factor -6/5*j**4 + f*j**3 + 0 - 2/5*j**2 + 0*j + 2/5*j**5.
2*j**2*(j - 1)**3/5
Let t(n) be the second derivative of -7*n**6/75 - n**5/2 - 23*n**4/30 + n**3/15 + 6*n**2/5 + 87*n. Find d such that t(d) = 0.
-2, -1, 3/7
Let f(j) be the first derivative of -j**5/2 - 5*j**4/4 + 5*j**3/3 + 7*j + 8. Let n(m) be the first derivative of f(m). Factor n(i).
-5*i*(i + 2)*(2*i - 1)
Suppose 0 = 4*y + 3*o, 3*y + y - 4 = -2*o. Factor 7*d - 3*d**2 + 5*d + 12 - d**y - 2*d**3.
-3*(d - 2)*(d + 1)*(d + 2)
Let t(m) be the second derivative of 7*m + 0 + 1/3*m**4 + 1/20*m**5 + m**2 + 5/6*m**3. Let t(s) = 0. What is s?
-2, -1
Let v(h) = -h**3 - 26*h**2 - 13*h + 34. Let l be v(-26). Let p = -3344/9 + l. Solve -16/3*q**2 + 2*q**3 - p + 26/9*q = 0.
1/3, 2
Let g(y) be the third derivative of -1/245*y**7 + 0*y + 0*y**4 + 0 - 2/105*y**5 + 5/1176*y**8 - 5*y**2 - 1/35*y**6 + 0*y**3. Suppose g(z) = 0. What is z?
-1, -2/5, 0, 2
Let q = 4/1035 + 191/4140. Let n(m) be the second derivative of -6/5*m**2 - q*m**4 + 0 - 2/5*m**3 + 13*m. Factor n(r).
-3*(r + 2)**2/5
Solve -199*w + 36125 + 238*w + 329*w + 448*w + 5*w**2 + 34*w = 0.
-85
Let y = -808 - -2426/3. Determine u so that 4/9*u + 10/9*u**5 - 14/9*u**3 - y*u**4 + 2/3*u**2 + 0 = 0.
-1, -2/5, 0, 1
Let c(k) be the first derivative of -3*k - k**2 + 2/3*k**3 + 5. Let o(m) = 4*m**2 - 4*m - 5. Let d(l) = 5*c(l) - 3*o(l). Determine g, given that d(g) = 0.
0, 1
Let w(h) = -h**2 + 9*h + 55. Let j be w(13). Let s(i) be the first derivative of -4/9*i - 1/27*i**j - 1 - 2/9*i**2. Determine z, given that s(z) = 0.
-2
Suppose 2*l - 134 - 12 = 0. Let v(d) = d**3 + 26*d**2 + 5. Let i be v(-26). Factor l*a - 5*a**3 - 73*a + i*a**2.
-5*a**2*(a - 1)
Find g such that 48/5*g + 72/5*g**5 - 156/5*g**4 + 32/5*g**2 - 196/5*g**3 + 0 = 0.
-2/3, 0, 1/2, 3
Let i(q) be the third derivative of -2*q**2 - 1/32*q**4 + 1/840*q**7 + 6 - 1/240*q**5 + 0*q**3 + 0*q + 1/160*q**6. Factor i(z).
z*(z - 1)*(z + 1)*(z + 3)/4
Let j(u) be the second derivative of 0 + 1/50*u**6 - 1/20*u**4 + 0*u**5 + 0*u**2 + u + 0*u**3. Factor j(k).
3*k**2*(k - 1)*(k + 1)/5
Let d = -29 - -33. Suppose 4*x + d*t + 12 = 0, -2*t - 12 = 2*x - 3*x. Suppose j**3 - j + 1/3 - 1/3*j**x = 0. Calculate j.
-1, 1/3, 1
Let h(u) = u**3 + u**2 - 5*u - 3. Let f be h(-2). Suppose 9 + f = 4*l. Let 0*w + 0*w + 5*w**l - 2*w - 3*w**3 = 0. What is w?
-1, 0, 1
Let j be 4/(-48)*(13 + -17). Let x(u) be the third derivative of 0*u**4 - 1/30*u**5 + 10*u**2 + 0*u + j*u**3 + 0. What is s in x(s) = 0?
-1, 1
Let r(x) be the first derivative of x**5/50 - x**4/6 + x**3/5 + 9*x**2/5 + 8*x + 21. Let i(d) be the first derivative of r(d). Factor i(b).
2*(b - 3)**2*(b + 1)/5
Suppose 33/7*t - 33/7*t**3 - 30/7 + 27/7*t**2 + 3/7*t**4 = 0. What is t?
-1, 1, 10
Let d = 11 - 7. Let k = 0 + 2. Factor 10*g**3 - 2*g - g**4 - g**d - 16*g**3 - 6*g**k.
-2*g*(g + 1)**3
Let x = -931/60 - -47/3. Let u(g) be the third derivative of -x*g**4 - 8*g**2 + 0*g + 7/150*g**5 + 2/15*g**3 + 0. Factor u(t).
2*(t - 1)*(7*t - 2)/5
Let f(u) = -u**2 + 6*u. Let g be f(6). Let d(m) be the first derivative of -2*m**3 - 3/2*m**4 - 2/5*m**5 - 4 - m**2 + g*m. Factor d(r).
-2*r*(r + 1)**3
Let q be -8 - (13 - 16 - 5). Determine a so that -2*a**2 - 1/4*a**4 + 3/2*a**3 + 0*a + q = 0.
0, 2, 4
Factor 4/9*x - 20/9*x**2 + 0.
-4*x*(5*x - 1)/9
Let n(x) be the first derivative of -3*x**4/32 - x**3/8 + 27*x**2/16 + 27*x/8 + 38. Factor n(a).
-3*(a - 3)*(a + 1)*(a + 3)/8
Let o(q) be the first derivative of q**3/5 - 12*q**2/5 - 27*q/5 - 274. Suppose o(c) = 0. What is c?
-1, 9
Let b(o) be the first derivative of o**4/10 - 4*o**3/5 - 63*o**2/5 - 216*o/5 - 154. Let b(g) = 0. Calculate g.
-3, 12
Solve -91/3*d**2 - 49/6*d + 0 - 2/3*d**5 - 47/2*d**3 + 26/3*d**4 = 0 for d.
-1/2, 0, 7
Suppose 0 = -3*j + 5*z - 19, -11 - 17 = -4*j - 4*z. Factor 3*i**j + 0 + 12/5*i**4 + 24/5*i**3 + 3/5*i.
3*i*(i + 1)*(2*i + 1)**2/5
Suppose 152*a - 341 = -4*g + 153*a, -g + 59 = 5*a. Factor -2/7 - 686*k**4 + 8*k - g*k**2 + 392*k**3.
-2*(7*k - 1)**4/7
Suppose 5*z = -z + 234. Factor 20*l**4 - 22*l - 32*l**3 - 2*l - 37*l**2 - z*l**2.
4*l*(l - 3)*(l + 1)*(5*l + 2)
Let z(o) be the first derivative of 28 - 10*o - 5/3*o**3 - 15/2*o**2. Factor z(p).
-5*(p + 1)*(p + 2)
Let k(h) be the second derivative of -5*h**4/48 - 130*h**3/3 - 6760*h**2 - 2*h + 409. Factor k(g).
-5*(g + 104)**2/4
Let y(x) = -x**4 + x**2 - x - 1. Let s(p) = -10*p**4 - 280*p**3 + 825*p**2 - 815*p + 250. Let k(j) = -s(j) + 15*y(j). Suppose k(v) = 0. What is v?
1, 53
Factor 9/4 - 3/2*a**3 + 3/2*a + 3/4*a**4 - 3*a**2.
3*(a - 3)*(a - 1)*(a + 1)**2/4
Let l(v) be the first derivative of 4*v**5/5 + 9*v**4 + 97*v**3/3 + 36*v**2 + 16*v + 27. Factor l(b).
(b + 4)**2*(2*b + 1)**2
Solve 0 + 5/4*d**2 - 3/4*d - 1/4*d**3 - 1/4*d**4 = 0.
-3, 0, 1
Let o(k) be the first derivative of -3*k**4 + 23*k**3/2 - 39*k**2/4 - 3*k + 41. Let o(x) = 0. What is x?
-1/8, 1, 2
Let q = -104 - -107. Suppose 0 = -q*i - 3*j, 3 = j + 7. Let 4*c**4 - 8*c**2 + 4/3*c - 8/3*c**3 