 1)*(u + 3)**2/3
Suppose 4269*h + 76 = 4307*h. Factor 8/3*q**h - 2/3*q**4 - q**3 - 4/3*q + 1/3*q**5 + 0.
q*(q - 2)*(q - 1)**2*(q + 2)/3
Suppose -18*v**3 - 19/2*v**4 + 18*v + 23/2*v**2 - 2 = 0. What is v?
-2, -1, 2/19, 1
Let a = 23824 + -4343. Determine x, given that -a*x**2 - 1093500*x + 211*x**3 - 280*x**3 - 16969*x**2 - 12301875 - 3*x**4 - 471*x**3 = 0.
-45
Suppose 4*n - 3*n + 4*m - 20 = 0, 0 = 2*n - 3*m + 4. Find u such that -12*u**3 + 16*u**2 + 2*u**2 + n*u**3 - 54*u**4 + 4*u + 40*u**5 = 0.
-2/5, -1/4, 0, 1
Let n be 1 + -2 + 15 - (-4380)/(-365). Factor 3 - 8/3*j - 1/3*j**n.
-(j - 1)*(j + 9)/3
Let n(j) = 7*j**3 - 494*j**2 + 3*j + 27. Let k(i) = 9*i**3 - 495*i**2 + 4*i + 36. Let q(g) = 3*k(g) - 4*n(g). Find r, given that q(r) = 0.
0, 491
Let g(b) be the first derivative of 1/5*b**2 + 22 + 0*b**3 - 13*b - 1/30*b**4. Let c(u) be the first derivative of g(u). Factor c(a).
-2*(a - 1)*(a + 1)/5
Let u be (-8)/(-2)*112/64. Let o = -5 + u. Suppose 19 + 15*m + m**2 - m**2 + 5*m**o - 9 = 0. What is m?
-2, -1
Let s(p) be the first derivative of 1/30*p**5 - 4/3*p**2 + 23 - 41*p + 1/18*p**4 - 4/9*p**3. Let o(l) be the first derivative of s(l). Solve o(j) = 0.
-2, -1, 2
Let r(w) be the third derivative of -1/48*w**4 - 1/240*w**5 + 0*w**3 + 1/840*w**7 + 22*w**2 + 0 + 1/240*w**6 + 0*w. Solve r(z) = 0 for z.
-2, -1, 0, 1
Let x(b) be the second derivative of 96*b**4 - 1153*b**3/3 + 2*b**2 - 129*b - 4. Factor x(o).
2*(o - 2)*(576*o - 1)
Let y(k) be the third derivative of 0*k + 1/12*k**5 - 155/24*k**4 + 0 + 25*k**3 + 22*k**2. Factor y(c).
5*(c - 30)*(c - 1)
Suppose -6*f = -4*x - 34, -f + 22 = 4*x + f. Find o, given that 0*o + 0 + 24/5*o**x + 2/5*o**3 = 0.
-12, 0
Let f(g) = -g**3 + 10*g**2 - 10*g + 12. Let k be f(9). Let d(z) be the second derivative of -1/6*z**4 - k*z + 0 - z**2 + 17/12*z**3. Factor d(x).
-(x - 4)*(4*x - 1)/2
Let o(s) = -s**3 + 7*s**2 + s + 1. Let c(h) = -h**3 + 1 + 2*h + 0 + 3 + 14*h**2 + 2 - 3. Let r(f) = -4*c(f) + 9*o(f). Factor r(t).
-(t - 1)**2*(5*t + 3)
Suppose 0 = 3*o - 4*o, -210 = -5*s + o. Let 15*z**5 + s*z**2 + 0*z + z**5 + 180*z**3 + 8*z - 158*z**2 - 96*z**4 + 16*z = 0. What is z?
0, 1/2, 2, 3
Suppose 0 = -27*j + 15*j + 96. Suppose 0 = j*y - 12*y + 12. Suppose 12*t**4 + 2*t - 4/3*t**y + 4/3 - 8*t**2 - 6*t**5 = 0. Calculate t.
-2/3, -1/3, 1
Suppose 4*q + 98 = -2*d, -d = -1 + 6. Let t be 2*(77/15 + q/66). Determine m, given that -3/5*m**2 - t + 24/5*m = 0.
4
Let 17/3*x - 11/6 - 1/2*x**2 = 0. What is x?
1/3, 11
Let p = 14/1263 + 3677/10104. Determine t, given that p*t**3 + 3/4 + 3/2*t**2 + 15/8*t = 0.
-2, -1
Let s(i) be the second derivative of -i**7/7 - 103*i**6/10 - 221*i**5/30 + 73*i**4/3 + 230*i**3/9 + 17*i**2/2 - 8938*i. Let s(r) = 0. Calculate r.
-51, -1, -1/3, -1/6, 1
Suppose d = 2*j + 9, 5*d - j = 3*d + 24. Determine q so that q - 43*q**2 - 37*q**2 - 30*q**5 + 29*q**3 + d*q**4 + 67*q**2 = 0.
-1, 0, 1/10, 1/3, 1
Let h = -69577 - -69579. What is y in 18/19*y - 2/19*y**3 - 16/19*y**h + 0 = 0?
-9, 0, 1
Let l be (-1952)/(-10736) + (126/(-12))/(33/(-1)). Solve 0*z - l*z**3 + z**2 + 0 = 0.
0, 2
Let z(l) be the third derivative of -l**5/80 - 147*l**4/32 + 149*l**3/4 - 23*l**2 - 3*l - 58. Let z(b) = 0. Calculate b.
-149, 2
Solve -586*n**3 - 810*n**3 - 10294*n**2 - 98*n**4 + 5730*n + 1872*n**3 + 2977*n**3 - 1008 + 2217*n**3 = 0 for n.
3/7, 1, 56
Let t(w) = -w**2 + 14*w - 6. Let l(i) = i**2 + i + 1. Suppose -5*s + 3*d + 15 + 12 = 0, s + 2*d - 8 = 0. Let k(p) = s*l(p) + t(p). Let k(r) = 0. Calculate r.
-4, 0
Let n(h) = -30*h**2 + 646*h + 7. Let t(q) = 39*q**2 - 864*q - 9. Let d(c) = -9*n(c) - 7*t(c). Factor d(i).
-3*i*(i - 78)
Let j(k) = 2557*k**2 + 2581*k + 231. Let s(r) = 639*r**2 + 645*r + 60. Let a(d) = 6*j(d) - 23*s(d). Factor a(o).
3*(o + 1)*(215*o + 2)
Let i(y) be the second derivative of y**5/90 - y**4/72 - y**3/18 - 7*y**2/2 - 21*y. Let f(d) be the first derivative of i(d). Solve f(r) = 0.
-1/2, 1
Let y = 340457 - 340455. Find c such that 2/5*c**3 - 2/5*c + 2/5*c**4 - 2/5*c**y + 0 = 0.
-1, 0, 1
Let h(w) be the third derivative of 9*w**2 + 507/7*w**3 + 5/42*w**5 + 0 + w + 65/14*w**4. Factor h(z).
2*(5*z + 39)**2/7
Factor 873 - 233 + 20*y - 24*y**2 + 19*y**2 - 160*y.
-5*(y - 4)*(y + 32)
Let t(c) be the second derivative of c**7/840 + 7*c**6/240 - c**5/5 + 17*c**4/12 + 16*c. Let r(a) be the third derivative of t(a). Factor r(z).
3*(z - 1)*(z + 8)
Let c = -23653 - -47309/2. Let t = -39/2 + 21. Solve 0 - c*v**2 + t*v**3 + 0*v = 0 for v.
0, 1
Let v(x) be the third derivative of 4/27*x**3 + 3*x**2 + 0 - 1/135*x**5 + 1/54*x**4 + 32*x. Factor v(p).
-4*(p - 2)*(p + 1)/9
Let g(p) be the first derivative of 12*p**5 - 11451*p**4/4 - 4415*p**3 - 291*p**2 + 1152*p - 1689. Find q such that g(q) = 0.
-1, -2/5, 1/4, 192
Let o(s) = -2*s**2 + 32*s + 17. Let l be o(16). Find a such that 28*a - 69 + 113*a - 75*a**2 - l*a**3 + 20*a**3 = 0.
1, 23
Let j(o) be the first derivative of -10/3*o**3 - 13*o**2 - 14*o - 100 + 1/2*o**4. Suppose j(g) = 0. What is g?
-1, 7
Let -176102*l**4 - 108 - 279*l**3 - 864*l**2 + 176105*l**4 + 108 = 0. Calculate l.
-3, 0, 96
Let p(t) be the second derivative of 0*t**2 - 1/10*t**6 - 3 + 3/20*t**5 + 1/4*t**4 - 6*t + 0*t**3 - 1/14*t**7. Find c such that p(c) = 0.
-1, 0, 1
Suppose 10*f - 18 = 112. Let n(i) be the first derivative of 201*i**5 - f*i**2 - 20*i + 5*i**3 - 32 + 3*i**2 + 2*i**4 + 3*i**4 - 200*i**5. Factor n(g).
5*(g - 1)*(g + 1)*(g + 2)**2
Suppose -2/5*a**4 + 0 + 32/5*a**2 - 6/5*a**3 - 24/5*a = 0. Calculate a.
-6, 0, 1, 2
Let p(q) = -q**2 + 4786*q + 125115. Let d be p(-26). Let 0 - 2*x**2 - 4/5*x**d + 12/5*x + 2/5*x**4 = 0. Calculate x.
-2, 0, 1, 3
Let p(l) = -17*l**4 - 143*l**3 - 368*l**2 - 398*l - 80. Let z(i) = 69*i**4 + 574*i**3 + 1458*i**2 + 1593*i + 320. Let f(w) = -9*p(w) - 2*z(w). Solve f(j) = 0.
-5, -2, -4/15
Suppose 11*n - 116*n + 237 = 132*n. Let q(a) be the first derivative of 6*a**3 + 9*a - 57/2*a**2 - n. Factor q(o).
3*(o - 3)*(6*o - 1)
Suppose -17 + 7 = -5*z. Suppose -26 - 64*g - 57*g + 149*g - z*g**2 = 0. Calculate g.
1, 13
Let m(w) = -3*w**2 + 611*w - 626. Let t(h) = -85*h**2 + 16490*h - 16900. Let k(a) = -55*m(a) + 2*t(a). Factor k(g).
-5*(g - 1)*(g + 126)
Let i = -2361780/7 - -337400. Let -10/7 - 2/7*z - 2/7*z**5 + i*z**2 - 10/7*z**4 + 4/7*z**3 = 0. What is z?
-5, -1, 1
Let h(k) be the first derivative of -3/10*k**5 + 0*k**3 + 0*k**2 + 0*k + 3/8*k**4 - 86 + 1/16*k**6. Factor h(p).
3*p**3*(p - 2)**2/8
Let s(c) = c**2 - 2*c + 1. Let k(i) = -310*i - 290. Let g(t) = k(t) - 5*s(t). Let g(z) = 0. What is z?
-59, -1
Let u = 143/503 - -1223/1006. Find g such that 3/2*g**3 + 3/2*g**4 - 3*g**2 + u - 3/4*g - 3/4*g**5 = 0.
-1, 1, 2
Let d = 77/320 + 89/960. Factor 0*r + 20/3*r**2 - d*r**3 + 0.
-r**2*(r - 20)/3
Let p(o) be the third derivative of -9/56*o**4 + 25*o**2 + 0*o - o**3 + 0 + 1/280*o**6 + 3/70*o**5. Find n such that p(n) = 0.
-7, -1, 2
Let k(b) = -2*b - 26. Let x be k(-14). Factor -x*n - 6*n + 5*n**2 - 15*n - 2*n.
5*n*(n - 5)
Let w = 87 - 85. Let 164*n**2 + 6*n**4 + 24*n + 2*n**3 - 2*n**5 - 8 + 158*n**w - 344*n**2 = 0. Calculate n.
-2, 1, 2
Suppose -7*g - 134 = -29. Let f be 1 - 2/((-5)/(g/2)). Let z(a) = a + 1. Let x(l) = -l**3 - l**2 + 3*l + 1. Let h(o) = f*x(o) + 2*z(o). Factor h(b).
2*b*(b - 1)*(b + 2)
Suppose -6 = -3*k - 33. Let u be (-1 - 2)*6/k. Factor 4*i**u + 12 - 12.
4*i**2
Let i(u) = 12*u - 20. Let y be i(11). Let -363*q**5 + 178*q**5 - y*q + 41*q**3 - 96 - 12*q**2 + 36*q**2 + 181*q**5 + 3*q**3 = 0. What is q?
-2, -1, 2, 3
Suppose 4*x = -11*i + 6*i + 14, -x = -4*i + 7. Determine n so that n**2 - 324*n + 11370 + 1752 + n**i = 0.
81
Suppose -3*t + 13 - 16 = 0. Let f be 2/8 + 57/12 + t. Suppose -28*y**2 + 16 + 0*y**4 - 12*y**f - 14*y**3 - 26*y**3 + 16*y = 0. Calculate y.
-2, -1, 2/3
Let t(b) be the second derivative of -2/33*b**3 - 5/22*b**2 - 11*b - 3 + 1/132*b**4. Factor t(u).
(u - 5)*(u + 1)/11
Let q(w) be the third derivative of -w**5/60 + 59*w**4/12 - 440*w**3/3 - 4382*w**2. Factor q(s).
-(s - 110)*(s - 8)
What is y in 24*y**3 + 204 + 108*y - 27*y**3 - 27*y**2 - 72*y**2 = 0?
-34, -1, 2
Let d = 1/829400 + 1036749/829400. Determine n, given that -205/2 - d*n**2 + 215/4*n = 0.
2, 41
Determine h, given that 22*h**4 + 7*h + 6*h**2 - 61*h**4 - 10*h**3 + 15*h**4 + 18*h**4 + 2*h**5 + h = 0.
-1, 