+ 10*u + 4 - 20*u. Let d(f) = -6*a(f) - 11*q(f). Factor d(b).
-(b + 2)**2
Suppose -12 = -4*d, 5*z - 213*d = -211*d + 4. Solve -1/4*w**3 + 0*w**z + 1/4*w**4 + 0 + 0*w = 0.
0, 1
Let l = 12 - 10. Suppose y**3 - 2*y**3 + y**4 + 0*y**3 + 2*y**l - 2*y**4 = 0. What is y?
-2, 0, 1
Determine f, given that 3/8*f**2 + 3/8*f**3 + 0 + 1/8*f**4 + 1/8*f = 0.
-1, 0
Let x(j) be the first derivative of 11 + 2/9*j**2 + 0*j - 1/18*j**4 - 2/27*j**3. Factor x(l).
-2*l*(l - 1)*(l + 2)/9
Let -151*n**2 + 27 + 70*n**2 + 82*n**2 + 114*n + 3222 = 0. Calculate n.
-57
Let n(w) = 2*w**4 + w**3 - 3*w**2 + w. Let o(b) = 21*b**4 - 27*b**2 + 12*b. Let z(p) = 6*n(p) - o(p). Factor z(a).
-3*a*(a - 1)*(a + 1)*(3*a - 2)
Let w(i) = -i**2 - 6. Let v(d) = 3*d**2 - 2*d + 17. Let x(p) = 3*v(p) + 8*w(p). Let q be x(6). Factor -1/3*n**2 + 2*n - q.
-(n - 3)**2/3
Let g(l) be the third derivative of 128/3*l**3 + 8/3*l**4 - 2/105*l**7 + 38*l**2 + 0 - 12/5*l**5 + 0*l + 11/30*l**6. Find m, given that g(m) = 0.
-1, 4
Let g(y) = -2*y**2 - 5*y + 2. Let j be g(-2). Find r, given that r - 2*r**2 + 5*r**2 - r**5 - j*r**2 - r**2 + 2*r**4 = 0.
-1, 0, 1
Let r(k) = 26*k**2 + 14*k + 1. Let z(d) = d**3 + 77*d**2 + 41*d + 4. Let t(f) = -17*r(f) + 6*z(f). Let g(y) be the first derivative of t(y). Factor g(c).
2*(c + 2)*(9*c + 2)
Let i be ((-2)/4)/(40/480*-3). What is u in -1/5 + 1/5*u**i + 0*u = 0?
-1, 1
Let x = 31 + -29. Let m be (x/(-4))/((-27)/18). Factor 2/3*i - 2/3*i**3 + 0 - m*i**2 + 1/3*i**4.
i*(i - 2)*(i - 1)*(i + 1)/3
Suppose -2*h = -3*h + 2. Suppose -h*v + 3*v = 0. Determine u so that 7*u + 7*u**2 - 3*u - 9*u**2 + v*u = 0.
0, 2
Let n(b) be the third derivative of 0*b - 19/840*b**7 - 1/32*b**6 + 0 - 1/240*b**5 - 2*b**2 + 0*b**3 - 1/192*b**8 + 1/48*b**4. Factor n(c).
-c*(c + 1)**3*(7*c - 2)/4
Let i(j) be the first derivative of -j**6/120 + j**4/16 + j**3/12 + 39*j + 21. Let u(b) be the first derivative of i(b). Factor u(t).
-t*(t - 2)*(t + 1)**2/4
Let v = 162884/9 - 18098. Let -16/9*b + 32/9 - v*b**3 - 14/9*b**2 = 0. Calculate b.
-4, 1
Suppose 0 = -4*w + 3*w. Factor -3*y + 3*y**2 + w + 3 - 3*y.
3*(y - 1)**2
Let k be (-2)/(-6) - -58*(-7)/(-42). Determine d so that 9*d + 4*d**3 + 10*d**2 + k*d**2 + 16 + 23*d = 0.
-2, -1
Let l(u) be the second derivative of -1/840*u**5 + 1/84*u**4 - 1/420*u**6 + 0 - 2*u + 0*u**2 - 5/6*u**3. Let h(x) be the second derivative of l(x). Factor h(o).
-(2*o - 1)*(3*o + 2)/7
Let v(r) = -8*r**3 + 40*r**2 + 58*r - 84. Let l(i) = -15*i**3 + 80*i**2 + 115*i - 170. Let n(w) = -3*l(w) + 5*v(w). Factor n(a).
5*(a - 9)*(a - 1)*(a + 2)
Let n be ((2220/(-80))/37)/(6/(-16)). Find t, given that -2/21*t**4 - 4/21*t - 2/21*t**5 + 2/21*t**n + 0 + 2/7*t**3 = 0.
-2, -1, 0, 1
Factor -8*j**2 + 0*j**3 - 21*j - 10*j**2 + 38 - 43*j**3 + 44*j**3.
(j - 19)*(j - 1)*(j + 2)
Let -81/5 + 3/5*u**2 + 78/5*u = 0. Calculate u.
-27, 1
Find j, given that 10*j - j**2 - 20 - 43*j + 24*j = 0.
-5, -4
Suppose -1 = 4*v - 5*v. Let z(i) = -i**3 + i - 1. Let c(d) = -6*d**2 - 6*d + 2. Let b(w) = v*c(w) + 2*z(w). Find s, given that b(s) = 0.
-2, -1, 0
Let y be (-78)/81 - (0 - (4 - 3)). Let l(q) be the second derivative of 1/27*q**4 - 1/90*q**5 + 0*q**2 - y*q**3 + 0 + 6*q. Factor l(w).
-2*w*(w - 1)**2/9
Let z = -10 - -4. Let n = -4 - z. Determine c, given that 4*c**n + 10*c**2 + 8*c - 35*c**3 + 7*c**2 + 10*c**2 - 4 = 0.
-2/5, 2/7, 1
Let w = 19132/5 - 3826. Let 0*y + 2/5*y**5 - 2/5*y**2 + 0 - w*y**3 + 2/5*y**4 = 0. Calculate y.
-1, 0, 1
What is f in 3*f + 33*f**2 - 49*f**3 + 23*f**3 - 6*f**2 - 4*f**3 = 0?
-1/10, 0, 1
Factor 26/3*t + 0 - 2/9*t**2.
-2*t*(t - 39)/9
Let d(o) be the second derivative of o**7/56 + o**6/10 + 3*o**5/16 + o**4/8 - 3*o - 33. Determine u, given that d(u) = 0.
-2, -1, 0
Let y(g) be the second derivative of 3*g**5/80 + g**4/16 - 3*g**3/2 - 468*g. Factor y(a).
3*a*(a - 3)*(a + 4)/4
Suppose 4*d - 2 = -t + 5, t = -1. Factor -3*h**d + 2*h - 2*h + 9*h.
-3*h*(h - 3)
Let g(l) = 3*l**3 + 35*l**2 + 86*l - 16. Let a be g(-8). Factor 0 + 2/19*u**2 + a*u.
2*u**2/19
Suppose -7*f + 2 + 12 = 0. Let a = -5 + 7. Solve -f*h**4 + 16*h - 2*h**2 - 30*h**2 - 2*h**4 - 4 + 8*h**a + 16*h**3 = 0 for h.
1
Let r be (-2)/(-1)*(-177)/(-3363). Determine p so that 0*p + 2/19*p**4 + 0*p**2 + r*p**5 + 0 + 0*p**3 = 0.
-1, 0
Suppose 0 = -3*o + 18 - 3. Suppose -a + z = -o, -4*a + 12 = -2*a - 3*z. Let -6*u**a - 3*u**4 - 9*u - 3*u**2 + 12*u - 3*u = 0. What is u?
-1, 0
Let r(a) be the second derivative of 1/3240*a**6 - 1/216*a**4 + 0 + 0*a**2 - a - 4/3*a**3 + 0*a**5. Let g(w) be the second derivative of r(w). Factor g(y).
(y - 1)*(y + 1)/9
Suppose 1 + 6*f**2 - 2 + 12*f - 31 - 28*f = 0. What is f?
-4/3, 4
Let k be 1/(7*(-4)/14)*(0 - 0). Factor 0 + 0*a**2 - 2/7*a**3 + k*a.
-2*a**3/7
Let 5*q**2 + 42 - 158*q**3 + 62*q - 3*q**2 - 4*q**2 + 160*q**3 + 24*q**2 = 0. What is q?
-7, -3, -1
Let y(r) be the third derivative of -1/420*r**7 + 0*r + 1/80*r**6 + 0 + 0*r**5 - 2*r**2 + 0*r**3 - 1/12*r**4. Solve y(l) = 0 for l.
-1, 0, 2
Suppose 48 = 7*f + 20. Factor 2 + 0*z**3 - 9*z - 3*z**3 - z**f + 13*z - z - z**2.
-(z - 1)*(z + 1)**2*(z + 2)
Let q(w) be the third derivative of -w**9/1260 + w**7/280 - w**6/240 - w**4/8 - w**2. Let y(v) be the second derivative of q(v). Factor y(f).
-3*f*(f + 1)*(2*f - 1)**2
Solve -1/3*m - 1/9*m**3 - 1 + 5/9*m**2 = 0.
-1, 3
Let o(h) be the second derivative of -1/100*h**5 - 2*h**2 + 1/10*h**3 + 0*h**4 - 7*h + 0. Let d(k) be the first derivative of o(k). Find n such that d(n) = 0.
-1, 1
Let g = 210 - 194. Let k(q) = -q**2 - 6*q + 2. Let i be k(-6). Find d, given that 3*d**2 + 2*d**2 + 3*d**i - 4*d**2 - g = 0.
-2, 2
Let y(t) = 4*t**3 + 32*t**2 - 24*t. Let w(d) = 10*d**3 + 65*d**2 - 48*d. Let l(j) = 4*w(j) - 9*y(j). Suppose l(v) = 0. Calculate v.
0, 1, 6
Let w be (-6)/4*6*4/(-9). Let b(m) be the second derivative of -9/2*m**2 - 1/4*m**w - 2*m + 0 - 2*m**3. Determine g so that b(g) = 0.
-3, -1
Let x be (-14)/7 - (24/(-6) - -2). Determine v so that 5/2*v**2 + x + 25*v = 0.
-10, 0
Let l(q) be the third derivative of 0 + 0*q**3 - 1/420*q**6 + 1/490*q**7 + 0*q**5 + 0*q**4 + 22*q**2 + 0*q - 1/2352*q**8. Find k such that l(k) = 0.
0, 1, 2
Let z be 44 - 47 - 3/(-1). Find s, given that z - 2/3*s**2 + 0*s = 0.
0
Solve -4 + 13 - 12*w**2 - 16*w**3 + 8 + 96*w + 72*w**2 + 3 = 0.
-1, -1/4, 5
Let g = -4408 + 17635/4. What is l in g + 9/4*l + 3*l**4 - 15/4*l**2 - 9/4*l**3 = 0?
-1, -1/4, 1
Let l(o) = -9*o**2 - 5*o - 1. Let u(k) be the first derivative of -7*k**3/3 - 5*k**2/2 + 60. Let f(b) = -4*l(b) + 5*u(b). Solve f(t) = 0 for t.
1, 4
Let t(f) = 2*f**2 - 14*f - 13. Let m be t(8). Let n = 136 - 678/5. Factor 0 + 0*p + 2/5*p**4 - 2/5*p**5 + 2/5*p**m - n*p**2.
-2*p**2*(p - 1)**2*(p + 1)/5
Suppose 2*h + 2*h - 3*o - 20 = 0, 0 = -h + 4*o + 18. Let y be 16/(-4) + (-2)/(-1) + 7. Find q, given that -2*q + 8*q - y - 9*q**h + 4 = 0.
1/3
Let q(o) be the third derivative of 13/36*o**5 + 0*o + 0 + 35/72*o**4 - 5/126*o**8 + 5/18*o**3 + 1/72*o**6 + 6*o**2 - 1/9*o**7. Solve q(a) = 0 for a.
-1, -1/2, -1/4, 1
Let c(q) be the first derivative of -q**4/4 + 26*q**3/3 - 96*q**2 + 288*q + 186. Let c(n) = 0. Calculate n.
2, 12
Let n be ((-30)/(-35))/((-20)/(-70)). What is f in 8/7*f**2 + 4/7*f + 4/7*f**n + 0 = 0?
-1, 0
Let -6*q**2 - q**2 - 12*q**2 + 4*q**3 - 100*q + 84 + 34*q**2 - 3*q**2 = 0. Calculate q.
-7, 1, 3
Let u(t) be the third derivative of 0*t**3 - 1/180*t**6 - 1/36*t**4 - 20*t**2 + 0*t + 0 + 1/36*t**5. Suppose u(v) = 0. Calculate v.
0, 1/2, 2
Let k be 1450/(-500) - (-3 + 0). Let r(z) be the second derivative of 3/2*z**2 - 3/10*z**5 + 0*z**4 - k*z**6 + z**3 - 2*z + 0. Let r(g) = 0. Calculate g.
-1, 1
Factor -410*k**3 - 5*k**2 + 406*k**3 + 17*k**2.
-4*k**2*(k - 3)
Let z(b) be the second derivative of -b**4/16 - 3*b**3/4 - 3*b**2 + 11*b - 4. Factor z(f).
-3*(f + 2)*(f + 4)/4
Let s(c) be the first derivative of c**3/36 - 3*c**2/8 + 359. Solve s(v) = 0.
0, 9
Find r, given that -2/9*r**4 - 14/9*r**2 - 2/9 - r**3 - r = 0.
-2, -1, -1/2
Let o(v) be the third derivative of -5*v**9/12096 + v**8/576 - v**7/504 - v**5/5 + 24*v**2. Let d(n) be the third derivative of o(n). Factor d(a).
-5*a*(a - 1)*(5*a - 2)
Suppose 0 = 3*m - 0*m - 9. Let r(u) be the first derivative of -6/5*u**5 + 0*u**m + 4 + 0*u**2 + u**4 + 1/3*u**6 + 0*u. Determine y, given that r(y) = 0.
0, 1, 2
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