 - 46/7*t**3 - 124/7*t**2 = 0. Calculate t.
-14, 2, 3
Suppose -20*y - 387 = -25*y - 3*f, 4*f - 230 = -3*y. Determine x so that 432*x**4 + 12 - 3*x**2 - y*x + 795/2*x**3 + 243/2*x**5 = 0.
-2, -1, 2/9
Let n(q) be the second derivative of -10*q**7/21 + 18*q**6/5 - 9*q**5 + 29*q**4/3 - 4*q**3 - q + 17. Solve n(a) = 0 for a.
0, 2/5, 1, 3
Let x be 6*(-1)/8 + (-8139)/(-1116). Let v = -4/93 + x. Find s, given that -5/2*s**5 - 1/2*s**2 + v*s**4 + s - 9/2*s**3 + 0 = 0.
-2/5, 0, 1
Let r(n) be the third derivative of 0 + 0*n - 3/40*n**6 - 8*n**2 + 0*n**3 + 1/70*n**7 - 1/20*n**5 + 1/112*n**8 + 1/4*n**4. Suppose r(j) = 0. What is j?
-2, -1, 0, 1
Let k(j) be the first derivative of 25*j**4/4 - 80*j**3/3 + 15*j**2/2 - 115. Factor k(m).
5*m*(m - 3)*(5*m - 1)
Let j(k) = -k**3 - 4*k**2 + 7*k + 12. Let y be j(-5). Factor -v**2 - 3*v + 3*v - 16 - 16*v - 3*v**y.
-4*(v + 2)**2
Factor -48/7*n - 3/7*n**5 - 57/7*n**3 - 3*n**4 - 12/7 - 75/7*n**2.
-3*(n + 1)**3*(n + 2)**2/7
Suppose -p + 5*l = 21, 20*p - 15 = 15*p + l. Factor -1/2*g + 0*g**3 + 1/4*g**p - 3/4*g**2 + 0.
g*(g - 2)*(g + 1)**2/4
Let z(l) be the third derivative of -l**5/240 - 3*l**4/32 - 7*l**3/12 - 6*l**2 + 10. Factor z(x).
-(x + 2)*(x + 7)/4
What is i in 0 + 135/8*i + 3/8*i**2 = 0?
-45, 0
Let o be 4/3*(10 - 7). Let c be 2/o - (-8)/48. Factor -4/3 + 4/3*p**2 - c*p + 2/3*p**3.
2*(p - 1)*(p + 1)*(p + 2)/3
Factor 28/3*v**3 + 6*v + 2/3*v**5 + 4*v**4 + 4/3 + 32/3*v**2.
2*(v + 1)**4*(v + 2)/3
Let r(n) = -2*n**2 + n + 3. Let w be r(3). Let m = -9 - w. Let 10*u + 0*u**m + 12*u**4 + 1 + 4*u**4 + 32*u**3 - 2*u + 24*u**2 = 0. Calculate u.
-1/2
Let v(a) = -a**2 - 2*a + 3. Let k be 4/(-6)*(36/(-8))/3. Let s be v(k). Factor 1/2*w**4 + 0*w + s + 1/2*w**2 + w**3.
w**2*(w + 1)**2/2
Let p(v) be the third derivative of -v**6/90 + 11*v**5/15 - 16*v**4 + 512*v**3/9 - 301*v**2. Factor p(u).
-4*(u - 16)**2*(u - 1)/3
Let o(n) = -15*n**2 - 15*n + 10. Let w(u) = 13*u**2 + 13*u - 10. Let d(f) = -4*o(f) - 5*w(f). Solve d(z) = 0 for z.
-2, 1
Let t(o) = -4*o + 3. Let h be t(-3). Suppose 0 = -4*b + h + 1. Let b*d - 5*d**2 - 2 + d**2 + 2*d**2 = 0. Calculate d.
1
Suppose -q + 27 = 5*k - 4*q, 5*k = -4*q - 1. Suppose k*t - 9 = -3. Solve -3*g**4 - 16*g**2 + 3*g**3 + 19*g**t + 0*g - 3*g = 0 for g.
-1, 0, 1
Determine u, given that 2/9*u**4 + 14/9*u**3 - 14/9*u - 4/3 + 10/9*u**2 = 0.
-6, -1, 1
Let v = 15 - 13. Suppose 10*r = v*r + 16. Factor 0 - 4/3*o**3 + 2/3*o**r + 2/3*o**4 + 0*o.
2*o**2*(o - 1)**2/3
Let l(w) be the first derivative of -w**3/3 - 35*w**2/2 + 141. Solve l(i) = 0.
-35, 0
Let d(l) = l**3 + 12*l**2 - 3*l - 27. Let c be d(-12). Factor -9*r**3 - 4*r**2 - r + 11*r**3 - 4*r**2 + c*r.
2*r*(r - 2)**2
Let a(t) be the first derivative of -t**4/2 - 4*t**3/3 - t**2 - 122. Factor a(b).
-2*b*(b + 1)**2
Let u(a) = a**2 - a - 2. Let h(r) = -12*r**2 + 3*r + 12. Let n(d) = h(d) + 6*u(d). Factor n(s).
-3*s*(2*s + 1)
Let l = -64 - -66. Let s + 45*s**4 + 3*s**3 - 91*s**4 + 47*s**4 + 5*s**2 - l*s**2 = 0. What is s?
-1, 0
Let f(o) be the first derivative of 14*o**5/5 + 9*o**4/2 - 8*o**3 - 4*o**2 - 141. Find a such that f(a) = 0.
-2, -2/7, 0, 1
Let y(m) be the third derivative of 1/8*m**4 + 0*m + 0*m**3 + 0 - 1/40*m**6 + 1/20*m**5 - 14*m**2 - 1/70*m**7. Determine h, given that y(h) = 0.
-1, 0, 1
Let n be ((-1)/10)/(1 - (-139)/(-5)). Let a = 1613/1340 - n. Factor 0*c**4 - a*c**3 + 2/5*c**5 + 0 + 0*c - 4/5*c**2.
2*c**2*(c - 2)*(c + 1)**2/5
Suppose -14*i - 28 = -21*i. Let q(g) be the first derivative of 4 - 5/2*g**i + 5/6*g**6 + 0*g + 0*g**5 + 5/2*g**2 + 0*g**3. Suppose q(w) = 0. What is w?
-1, 0, 1
Let u(g) be the second derivative of 0*g**2 - 1/5*g**5 + 0*g**3 + 18*g - 1/3*g**4 + 0. Solve u(o) = 0 for o.
-1, 0
Let u be (-596)/149*(-2)/(-1 - -5). Find d, given that -2/5*d**u + 4/5 + 2/5*d = 0.
-1, 2
Let h(r) = -6*r**2 - 4*r - 2. Let m(s) = -2*s**2 + s + 1. Let b(c) = -h(c) + 2*m(c). Suppose b(d) = 0. What is d?
-2, -1
Let b(p) = p**2 + p + 1. Let w = 6 + -3. Let m(q) = 3*q + 3*q**2 + 7*q**2 + 7 + q - 3 + 15*q**w. Let i(z) = 4*b(z) - m(z). Suppose i(s) = 0. What is s?
-2/5, 0
Let m(n) be the first derivative of n**6/3 - 2*n**5/5 - 3*n**4/2 + 2*n**3/3 + 2*n**2 - 44. Suppose m(z) = 0. Calculate z.
-1, 0, 1, 2
Suppose d = 4*q - 10, -q - 4*d = -2*d + 2. Determine u, given that 1/3*u**q + 25/3 + 10/3*u = 0.
-5
Let f = 73556/247 + -3870/13. Factor 2/19*o**2 - 2/19*o**3 + 0 - f*o**4 + 2/19*o.
-2*o*(o - 1)*(o + 1)**2/19
Let i be 0*(4/(-9))/(12/9). Let c(p) be the first derivative of i*p**2 + 0*p + 7 - p**3 - 3/4*p**4. Factor c(k).
-3*k**2*(k + 1)
Let t(i) = -i**4 + 2*i**3 + i**2 - i. Let a(b) = 20*b**4 - 75*b**3 - 40*b**2 + 70*b. Let v(q) = -a(q) - 25*t(q). Factor v(d).
5*d*(d - 1)*(d + 3)**2
Let l(x) be the third derivative of -x**5/90 - 8*x**4/9 + 23*x**2 - 2. Factor l(f).
-2*f*(f + 32)/3
Suppose -5*x - 4*n - 16 = 0, x + 1 - 13 = 3*n. Let z(j) be the first derivative of 0*j**3 + 0*j**2 - 1/2*j**4 + 3 + x*j. Factor z(l).
-2*l**3
Solve 4/5*k**5 - 4*k + 8/5*k**2 + 8/5 - 16/5*k**4 + 16/5*k**3 = 0.
-1, 1, 2
Let a(y) be the first derivative of -y**6/18 + 4*y**5/15 - y**4/6 - 4*y**3/9 + y**2/2 + 114. What is c in a(c) = 0?
-1, 0, 1, 3
Let g = 1176/5 - 234. Factor 3/5 - g*q + 3/5*q**2.
3*(q - 1)**2/5
Let k be -1 - 0 - (-2 + (-2 - -1)). Let x(f) be the third derivative of -6*f**k + 0 - 1/75*f**5 + 0*f**4 + 0*f + 2/15*f**3. Solve x(o) = 0 for o.
-1, 1
Let n(g) be the third derivative of g**8/1848 + g**7/1155 - 3*g**6/220 - 13*g**5/330 + 2*g**4/33 + 4*g**3/11 + 26*g**2 - g. Solve n(q) = 0 for q.
-2, -1, 1, 3
Let k be 10 - (0/10 - -8). Factor -8/11 - 8/11*l - 2/11*l**k.
-2*(l + 2)**2/11
Suppose i + s + 1 - 2 = 0, -s = 5. Suppose -2*w + i = -w. Factor -4*g**2 + w*g - 15*g + 5*g.
-4*g*(g + 1)
Let w(r) be the third derivative of -r**7/42 - 11*r**6/8 + 91*r**5/6 - 125*r**4/2 + 380*r**3/3 - 2*r**2 + 4. Determine k so that w(k) = 0.
-38, 1, 2
Let b = -38101/3 + 12906. Let z = b + -205. Factor z - x - 5/3*x**2.
-(x + 1)*(5*x - 2)/3
Let h(w) be the third derivative of -5*w**5/66 - 2*w**4/11 + w**3/33 - 11*w**2 - 3. Factor h(j).
-2*(j + 1)*(25*j - 1)/11
Let w(q) be the first derivative of 5*q**4/4 + 10*q**3/3 - 5*q**2/2 - 10*q + 76. Factor w(j).
5*(j - 1)*(j + 1)*(j + 2)
Let i(r) be the third derivative of -3*r**8/112 - r**7/14 + r**6/10 + r**5/5 - r**2 - 24. Find v, given that i(v) = 0.
-2, -2/3, 0, 1
Let n(v) be the second derivative of -v**9/7560 - v**8/2100 - v**7/2100 - 15*v**3/2 + 41*v. Let j(b) be the second derivative of n(b). Factor j(l).
-2*l**3*(l + 1)**2/5
Let c(x) be the first derivative of -218*x**2 - 3*x + 14 - 3*x**3 + 215*x**2 + 2*x. Factor c(h).
-(3*h + 1)**2
Let x(b) be the first derivative of -3*b**4/8 + b**3 + 9*b**2/4 + 146. Factor x(w).
-3*w*(w - 3)*(w + 1)/2
Let u(z) be the second derivative of z**5/12 - 25*z**4/24 + 10*z**3/3 - 9*z**2/2 - 11*z. Let c(o) be the first derivative of u(o). Factor c(v).
5*(v - 4)*(v - 1)
Suppose -4*r + 0*r + 16 = 0, -5*t - r + 44 = 0. Let b be 2/(36/t + -4). Factor b*p + 2*p**3 + 96*p**4 - 12*p - 92*p**4 - 8*p**2 - 2*p**5 + 4*p**3.
-2*p*(p - 2)**2*(p + 1)**2
Let g(h) be the second derivative of -3*h**5/70 - 5*h**4/42 - h**3/21 + h**2/7 - 390*h. Let g(z) = 0. What is z?
-1, 1/3
Factor 2/5*b**2 - 8/5*b + 6/5.
2*(b - 3)*(b - 1)/5
Suppose -4*v + 2*v = -6. Let c(k) = k**3 - 14*k**2 + 23*k + 20. Let t be c(12). Factor t*o + 6*o**3 - 3*o**v - 3 + 9 + 7*o + 12*o**2.
3*(o + 1)**2*(o + 2)
Let h = -8205 - -41031/5. Factor h*x**2 - 1/5*x**3 - 9/5*x + 4/5.
-(x - 4)*(x - 1)**2/5
Let i be (-10 + 67)*4/(-6). Let n be 18/171 - 72/i. Suppose -2*q**n - 11*q - 4*q + 9*q = 0. What is q?
-3, 0
Let z(g) be the first derivative of -12*g**3 + 20*g - 34*g**2 + 44*g**2 + 20 + g**3 - 14*g**3. Factor z(v).
-5*(3*v - 2)*(5*v + 2)
Let w(c) = -c**3 - 98*c**2 - 195*c - 286. Let g be w(-96). What is u in 1/3*u**g + 1/3*u**3 - 1/3*u - 1/3 = 0?
-1, 1
Let q be -4*(2 - 38/18). Let m(u) = -u**3 + 55*u**2 - 156*u + 5. Let r be m(52). Suppose -q*k**2 - 2/9*k + 2/9*k**r + 4/9*k**4 + 0*k**3 + 0 = 0. What is k?
-1, 0, 1
Factor 200/3 + 208/3*u + 58/3*u**2 + 2/3*u**3.
2*(u + 2)**2*(u + 25)/3
Let f(m) be the second derivative of -m**7/70 - m**6/50 + 3*m**5/20 - 3*m**4/20 - m + 35. Factor f(g).
-3*g**2*(g - 1)**2*(g + 3)/5
Let m(p) = 2*p**2 - 4*p + 11. Let v be m(4). Solve 