**4 + 0.
r*(r - 2)*(r - 1)**2*(r + 1)/7
Let s be 12/10*5/2. Suppose -8 + 2 = -s*t. What is d in -2 + 3*d - t*d**3 + 2*d**4 - d - 6*d**2 + 6 = 0?
-1, 1, 2
Let -1/2*b + 0 + 1/4*b**3 + 1/4*b**5 + 3/4*b**2 - 3/4*b**4 = 0. Calculate b.
-1, 0, 1, 2
Solve -29*i**2 - i**4 + 146*i**2 + 6*i**3 + 684 - 3*i**5 + 213*i - 594 + 27*i**2 - 17*i**4 = 0.
-5, -2, -1, 3
Suppose -3 - 7 = -5*g. Let m(s) be the second derivative of 1/12*s**4 - 2/3*s**g + 0*s**3 - 1/60*s**5 + 4*s + 0. Find l such that m(l) = 0.
-1, 2
Let w(s) = -s**2 - 53*s - 356. Let k be w(-45). Determine h so that -3*h + 11/4*h**2 - 3/4*h**k + 1 - 1/4*h**3 + 1/4*h**5 = 0.
-2, 1, 2
Solve 161 - 41*z + 57*z + 68*z + 216*z**2 - 153 = 0 for z.
-2/9, -1/6
Suppose 2*c = 8 - 0. Suppose -19 + 27 = c*d. Find i such that 1/4 - 1/2*i + 1/4*i**d = 0.
1
Let s(o) = o**3 - 11*o**2 + 8*o + 23. Let i be s(10). Find v, given that -7*v - 2*v**2 - 8*v + i - 13 - 3*v**2 = 0.
-2, -1
Let n = 234 - 233. Let l be 4/16*0*-1*n. Factor l + 4/11*h**4 + 0*h - 2/11*h**3 - 2/11*h**5 + 0*h**2.
-2*h**3*(h - 1)**2/11
Find p such that -263 + 263 - 150*p - 5*p**3 + 85*p**2 + 0*p**3 = 0.
0, 2, 15
Let m = 56893 + -56889. Determine a so that 0*a + 2/3*a**m + 8/3 - 10/3*a**2 + 0*a**3 = 0.
-2, -1, 1, 2
Let b(f) be the first derivative of -2*f**6/3 + 8*f**5/5 + f**4 - 8*f**3/3 + 88. Suppose b(s) = 0. Calculate s.
-1, 0, 1, 2
Let k(d) = -d**2 - 8*d - 11. Let g be k(-5). Suppose 5*u - 18 = -n, 2*u + u + g*n = 21. Solve -5*a**u - 2*a**4 + 4*a**4 - a**4 + 4*a**3 = 0.
0, 1
Let l(x) be the first derivative of -x**5/10 - x**4/4 + 13*x**3/6 - 5*x**2/2 - 423. Let l(c) = 0. What is c?
-5, 0, 1, 2
Let y(p) be the third derivative of 2/3*p**3 - 5*p**2 - 1/30*p**5 + 1/12*p**4 + 0*p + 0. Let y(i) = 0. What is i?
-1, 2
Let r = -81 + 81. Suppose r = j - j + 4*j. Factor -1/2*p + j + 1/2*p**2.
p*(p - 1)/2
Let p(t) be the third derivative of -t**6/1020 - 3*t**5/170 - 5*t**4/51 - 4*t**3/17 + 19*t**2. Factor p(w).
-2*(w + 1)*(w + 2)*(w + 6)/17
Let s(z) be the third derivative of -z**7/168 + z**6/80 + 3*z**5/80 - z**4/48 + 4*z**2 + 18*z. Solve s(a) = 0 for a.
-1, 0, 1/5, 2
Suppose 6*w = -8*w. Let l(b) be the second derivative of -5*b - 1/20*b**5 - 2/15*b**6 + 0 - 1/14*b**7 + w*b**2 + 0*b**3 + 0*b**4. Factor l(h).
-h**3*(h + 1)*(3*h + 1)
Let r(j) be the first derivative of -j**4/2 + 14*j**3 + 70*j**2 + 96*j + 204. Determine m so that r(m) = 0.
-2, -1, 24
Let u = -266 + 1863/7. Suppose -u*o**3 - 4/7*o**2 + 6/7 - 1/7*o = 0. What is o?
-3, -2, 1
Let p(h) be the first derivative of -2*h**3/39 + 18*h**2/13 + 38*h/13 - 240. Suppose p(n) = 0. What is n?
-1, 19
Let g(m) be the first derivative of -5*m**4/12 - 5*m**3/3 + 5*m - 2. Let x(q) be the first derivative of g(q). Let x(z) = 0. What is z?
-2, 0
Let i(v) = v**2 - 11*v + 2. Let s be i(6). Let r be (16/s)/((-6)/21). Suppose n**3 - 8*n**2 + 4*n**2 - n**r + 5*n**4 + 4*n**3 - 5*n**5 = 0. What is n?
-1, 0, 1
Factor -394/7*b**3 - 37/7*b**4 - 289/7 - 901/7*b - 1/7*b**5 - 970/7*b**2.
-(b + 1)**3*(b + 17)**2/7
Suppose 0 = -9*s + 151 - 151. Let s*r - 1/4 + 1/4*r**2 = 0. Calculate r.
-1, 1
Let m(g) be the second derivative of g**6/5 - 33*g**5/20 + 11*g**4/2 - 19*g**3/2 + 9*g**2 - 12*g + 20. Factor m(k).
3*(k - 2)*(k - 1)**2*(2*k - 3)
Suppose -24 = -8*u - 0*u. Let o(x) be the third derivative of -6*x**2 - 1/24*x**u + 0*x - 1/240*x**5 - 1/48*x**4 + 0. Solve o(y) = 0.
-1
Let z(f) be the first derivative of -3*f**5/5 + 4*f**3 + 87. Factor z(k).
-3*k**2*(k - 2)*(k + 2)
Suppose h - 2*l + 130 = 6*h, 68 = 2*h + 4*l. Suppose -5*j = -8*j + h. Factor 135*a**2 - j*a + 2*a - 137*a**2.
-2*a*(a + 3)
Let d be 5697/297 - (3/(-1) - (-3 - 1)). Factor -120/11*c - d - 18/11*c**2.
-2*(3*c + 10)**2/11
Let r(b) be the third derivative of 1/90*b**5 - 17*b**2 + 1/72*b**4 + 0 + 0*b - 1/9*b**3 - 1/360*b**6. Let r(f) = 0. What is f?
-1, 1, 2
Suppose 27 = 2*g + 3*y + 7, y = -g + 10. Let i be (12/g)/((-30)/(-50)). Solve -1/2*z**i + 0*z + 2 = 0.
-2, 2
Let l(o) be the first derivative of 6 - 5/6*o**6 + 0*o**5 + 5*o**4 - 15/2*o**2 + 10*o - 10/3*o**3. Solve l(g) = 0.
-2, -1, 1
Let m(y) be the first derivative of y**6/360 - y**5/60 - 4*y**3 + 20. Let s(k) be the third derivative of m(k). Find p such that s(p) = 0.
0, 2
Let q be 39/65 + (-207)/495. Factor -14/11*k**4 + 4/11*k**5 - 10/11*k**2 + 18/11*k**3 + q*k + 0.
2*k*(k - 1)**3*(2*k - 1)/11
Suppose 5*p = -w + p - 6, -p = -5*w + 12. Let 0 + 84*j**2 + 32*j**4 - 6 + 136*j**3 - 44*j**3 + w + 20*j = 0. Calculate j.
-1, 1/8
Let b(u) be the second derivative of -11*u**5/450 - u**4/20 + 2*u**3/45 + 4*u**2 - 38*u. Let g(w) be the first derivative of b(w). What is r in g(r) = 0?
-1, 2/11
Suppose -4*d - 12 = -7*d. Factor 0*s**d + s**4 - s**2 + 4*s**2 - 4*s**2.
s**2*(s - 1)*(s + 1)
Let d(z) = -z**2 + 83*z - 906. Let n be d(70). Let m be 0 - (-5)/((-55)/(-32)). Solve 18/11*j**n + 0 + m*j**2 - 42/11*j**3 - 8/11*j = 0.
0, 2/3, 1
Let d(q) be the third derivative of -q**8/84 + 2*q**7/21 + 7*q**6/30 - q**5/3 - q**4 + 2*q**2 - 5. What is n in d(n) = 0?
-1, 0, 1, 6
Let r(v) = -7*v**2 + 15*v + 8. Let k(z) be the third derivative of 29*z**5/60 - 61*z**4/24 - 11*z**3/2 - z**2 - z. Let b(f) = 4*k(f) + 18*r(f). Factor b(g).
-2*(g - 3)*(5*g + 2)
Let a(l) be the first derivative of l**3/15 + 13*l**2/2 - 66*l/5 + 232. Find n such that a(n) = 0.
-66, 1
Suppose -12 = -2*m + 4*w, -2*m - 4*w + w - 9 = 0. Let v be m - (0 - 1)*5. Determine u so that -7*u**2 + 15*u**2 + 9*u + v*u - 4 = 0.
-2, 1/4
Let h be 4 + (-600)/7 + -1. Let w = h - -83. Factor 2/7*u**2 - 2/7 + w*u - 2/7*u**3.
-2*(u - 1)**2*(u + 1)/7
Let r = 4 - 2. Suppose 4*m = 2*m + 2, -r*y + 5 = -3*m. Let -3*k - 6*k**2 + 6*k**y + k**4 + 4*k**4 + 3*k**5 - 5*k**4 = 0. What is k?
-1, 0, 1
Suppose 13*b = 9*b + 168. Suppose b*j - 25 = 37*j. Factor 0*k - 1/4*k**3 + 0 + 1/4*k**j - 1/4*k**4 + 1/4*k**2.
k**2*(k - 1)**2*(k + 1)/4
Let y(b) = 5*b**4 - 35*b**3 + 69*b**2 - 39*b. Let k(a) = 5*a**4 - 35*a**3 + 70*a**2 - 40*a. Let p(l) = -6*k(l) + 5*y(l). Factor p(h).
-5*h*(h - 3)**2*(h - 1)
Suppose 3*c - 16 = 26. Let a = 20 - c. Factor -z - 4*z + 62*z**3 - 64*z**3 + z + a*z**2.
-2*z*(z - 2)*(z - 1)
Let l(w) be the first derivative of -1/26*w**4 - 4/13*w + 4/39*w**3 + 1/13*w**2 - 15. What is z in l(z) = 0?
-1, 1, 2
Let s(g) be the first derivative of -g**3/21 - 11*g**2/14 - 18*g/7 - 93. Suppose s(q) = 0. Calculate q.
-9, -2
Let l = 4981/13849 + 5/1259. Determine o, given that 4/11*o**3 + 0 - l*o - 2/11*o**2 + 2/11*o**4 = 0.
-2, -1, 0, 1
Let v(d) = -d**3 - d**2 - d + 1. Let n(m) = -16 - 45*m - 6*m**2 - 3*m**2 - 9*m**3 - 20*m**2 + m. Let z(k) = n(k) - 4*v(k). Factor z(j).
-5*(j + 1)*(j + 2)**2
Determine o, given that -12*o - 218 + 5*o**2 - 3*o - 272 - 42*o - 178*o = 0.
-2, 49
Let u(r) be the third derivative of r**5/330 - 17*r**4/132 + 2*r**3 - 2*r**2 + 67*r. Factor u(g).
2*(g - 11)*(g - 6)/11
Let f(y) be the second derivative of y**5/12 + 50*y**4/9 + 2185*y**3/18 + 1805*y**2/3 - 60*y. Factor f(v).
5*(v + 2)*(v + 19)**2/3
Suppose -7*q**4 + q**4 + 2*q**5 + 4*q**3 - 5*q + 0*q**5 + 6*q**2 + 0*q**2 - q**5 = 0. What is q?
-1, 0, 1, 5
Let l(k) be the first derivative of 1/8*k**2 - 9/40*k**5 + 0*k - 5/24*k**3 - 6 - 1/2*k**4. Solve l(o) = 0.
-1, 0, 2/9
Let f(w) be the first derivative of 2*w**3/3 + 40*w**2 + 800*w + 19. Factor f(a).
2*(a + 20)**2
Factor 6 + 1/4*p**2 - 25/4*p.
(p - 24)*(p - 1)/4
Let g(x) be the third derivative of -x**7/11340 + x**6/1620 + x**5/180 - 5*x**4/6 + 16*x**2. Let a(s) be the second derivative of g(s). Solve a(c) = 0.
-1, 3
Let j be 1/(3/12*3/3). Suppose -2*v = j*a - a - 2, 0 = -5*a - 4*v. Factor 0*d - 10/3*d**a - 2/3*d**2 + 0 + 4/3*d**5 + 8/3*d**3.
2*d**2*(d - 1)**2*(2*d - 1)/3
Let k(y) be the first derivative of -y**3/3 - 31*y**2/2 + 337. Determine t so that k(t) = 0.
-31, 0
Suppose -20*y + 17 = -43. Let l(p) = 7*p**2 + 1. Let i be l(1). Suppose 2*o**2 - 29*o**3 + 11*o**3 - 2*o**4 + i*o**y + 12*o**3 - 2*o**5 = 0. Calculate o.
-1, 0, 1
Let h(q) be the second derivative of q**7/735 - q**6/420 - q**5/105 - 4*q**2 + 18*q. Let t(p) be the first derivative of h(p). Factor t(i).
2*i**2*(i - 2)*(i + 1)/7
Let d be (53720/(-153))/40 + 9. Solve 2*l - 8/9 + d*l**3 - 4/3*l**2 = 0 for l.
1, 4
Let c(w) = -3*w**3 + 4*w**2 + 3*w + 1. Let o be c(-2). Factor -27*h + 10 - 115*h**3 + o*h**4 + 5*h - 43*h +