iven that g(q) = 0.
-2, 0, 1
Suppose 4*t + 4 = 3*f, -3*t - 3 = -2*f - f. Let d be (-187)/(-55) + (-12)/(-20). Factor 0*w**2 + f - 1/4*w**5 - w**3 - w**d + 0*w.
-w**3*(w + 2)**2/4
Let k(g) be the third derivative of -g**8/90720 - g**7/3780 - g**6/360 - g**5/15 - 5*g**2. Let x(a) be the third derivative of k(a). Factor x(r).
-2*(r + 3)**2/9
Let f(y) = -y**3 - 3*y**2 + y. Let v(g) = -2*g**3 - 5*g**2 + 2*g. Let k(t) = 5*f(t) - 3*v(t). Factor k(m).
m*(m - 1)*(m + 1)
Let h(a) be the third derivative of 0 + 0*a**5 + 0*a - 1/48*a**4 + 1/240*a**6 - 2*a**2 + 0*a**3. Factor h(d).
d*(d - 1)*(d + 1)/2
Let v(p) be the second derivative of -p**5/50 - 4*p**4/15 - 17*p**3/15 - 2*p**2 - 2*p - 20. Factor v(z).
-2*(z + 1)*(z + 2)*(z + 5)/5
Let x be 2*((-288)/30 + 10). Factor 0*c + 4/5*c**4 + x*c**2 - 8/5*c**3 + 0.
4*c**2*(c - 1)**2/5
Let b = -324 + 476. Let q = b - 1056/7. Factor -12/7*k**3 + q*k**4 - 2/7*k + 0 + 8/7*k**2 - 2/7*k**5.
-2*k*(k - 1)**4/7
Let f(l) be the first derivative of -5*l**4/32 + 41*l**3/12 - 22*l**2 + 16*l - 32. Factor f(i).
-(i - 8)**2*(5*i - 2)/8
Let t(z) be the third derivative of z**8/43680 + z**7/5460 + z**6/2340 - 3*z**4/8 - 7*z**2. Let h(a) be the second derivative of t(a). Factor h(v).
2*v*(v + 1)*(v + 2)/13
Determine f so that 62 - 29 - 2*f**2 - 31 = 0.
-1, 1
Find h, given that 2/9*h**4 + 2/9*h**3 + 4/9 - 2/3*h**2 - 2/9*h = 0.
-2, -1, 1
Let p = -115 + 1381/12. Let y(k) be the second derivative of 0*k**2 + 0 + 0*k**3 - 1/20*k**5 + p*k**4 + 2*k. Determine o so that y(o) = 0.
0, 1
Solve 0*t - 3/5*t**2 + 0 + 1/5*t**3 = 0 for t.
0, 3
Let l(i) = i**3 + i**2 - i - 1. Let h(p) = 6*p**3 + 30*p**2 - 42*p + 6. Let f(d) = h(d) - 10*l(d). Find y, given that f(y) = 0.
1, 2
Let y(u) = u**3 - 7*u**2 + 9*u - 15. Let q be y(6). Suppose -q*o = o. Find m such that 2/3*m**3 + o*m**2 - 2*m + 4/3 = 0.
-2, 1
Let p(d) = 2*d**5 - 3*d**4 - 4*d**3 + 2*d. Let j(y) = -12*y**5 + 17*y**4 + 24*y**3 - 12*y. Let q(g) = -6*j(g) - 34*p(g). Determine z, given that q(z) = 0.
-1, 0, 1
Factor 0*x**2 + 0 - 2/7*x**4 + 0*x + 2/7*x**3.
-2*x**3*(x - 1)/7
Let q(n) be the third derivative of n**7/4620 + n**6/1980 - n**3/2 + 2*n**2. Let r(t) be the first derivative of q(t). Determine h, given that r(h) = 0.
-1, 0
Let u(c) = c**3 - c**2 - c + 3. Let m be u(0). Factor 14*d**m - 3*d**2 - 3*d**4 + 0*d**3 - 8*d**3.
-3*d**2*(d - 1)**2
Let f(v) = 70*v**2 - 15*v - 85. Let i(l) = 5*l**2 - l - 6. Let k(z) = 4*f(z) - 55*i(z). Find n such that k(n) = 0.
-1, 2
Let z(r) = -r**2 + r - 1. Let n be z(2). Let a be (n + 7/2)*0. Let a - 3/4*u**2 - 1/2*u = 0. Calculate u.
-2/3, 0
Let v(o) be the second derivative of 1/4*o**5 + 0*o**2 + 1/10*o**6 + 7/36*o**4 + 1/18*o**3 - 2*o + 0. Find w, given that v(w) = 0.
-1, -1/3, 0
Let k = 35 + -31. Suppose -3*t = -t - k. Factor -1/4*y**t + 0*y + 1/4.
-(y - 1)*(y + 1)/4
Let z be 0 + 3 + 5 - 3. Let m be ((-2)/z)/(104/(-390)). Factor 1/2 + 3/2*c**2 - 1/2*c**3 - m*c.
-(c - 1)**3/2
Let w be (-2 + (-25)/(-12))*(-8 - -11). Determine k, given that 3/2*k**2 + 0 + 9/4*k**3 + w*k = 0.
-1/3, 0
Suppose -2*o = -7 - 1. Suppose -g + 5 = 5*a + 21, -4*g + o*a + 32 = 0. Factor 3*t**3 - t**4 + 0*t**4 - g*t**3.
-t**3*(t + 1)
Suppose 5*o + r = -35 - 2, -o + r - 11 = 0. Let g be 4/o*196/(-6). Factor -g*t**3 - 32/3*t + 77/3*t**2 + 4/3.
-(t - 1)*(7*t - 2)**2/3
Suppose -5 = 5*g, -4*p - g = 10 - 9. Suppose 1/2*d + 1/2*d**2 + p = 0. What is d?
-1, 0
Let o(a) be the second derivative of -2*a**7/21 + 2*a**6/15 + a**5 - a**4/3 - 16*a**3/3 - 8*a**2 + 3*a + 12. Factor o(m).
-4*(m - 2)**2*(m + 1)**3
Let g(i) be the third derivative of 1/630*i**7 + 1/180*i**6 + 0*i + 4*i**2 + 1/180*i**5 + 0*i**3 + 0 + 0*i**4. Let g(v) = 0. What is v?
-1, 0
Let c(w) = w**3 + w. Let x(t) = -t**2 + 4*t + 1. Let z be x(3). Let i(r) = -5*r**3 - r + z*r**3 - 4*r**3. Let b(q) = 3*c(q) + i(q). Factor b(s).
-2*s*(s - 1)*(s + 1)
Let b be -18 + 0*(-2)/(-6). Let w(d) = 3*d**2 + 8*d**2 - d - 12*d**2. Let c(f) = -10*f**2 - 7*f. Let y(u) = b*w(u) + 2*c(u). Factor y(h).
-2*h*(h - 2)
Let f(g) = 6*g**2 + 3*g. Let z be f(-2). Let a be (4/(-6))/((-3)/z). Determine v so that -4*v**2 + 6*v**3 + 2*v**2 + a*v**5 - 2*v**5 - 6*v**4 = 0.
0, 1
Let u(y) be the second derivative of -1/42*y**4 + 0 + 1/210*y**5 + 1/21*y**3 + 1/2*y**2 - 2*y. Let j(c) be the first derivative of u(c). Factor j(l).
2*(l - 1)**2/7
Let t(p) = 3*p**3 + p**2 - 7*p - 1. Let u(l) = -12*l**3 - 3*l**2 + 27*l + 3. Let g(f) = -15*t(f) - 4*u(f). Find r, given that g(r) = 0.
-1, 1
Suppose 4/7*q**2 - 4/7*q - 8/7 = 0. What is q?
-1, 2
Let n be (2/(-4))/(1/(-4)). Let p = 6 - 4. Suppose 3*o - 5*o + n*o**p + 1 - 5*o**2 = 0. Calculate o.
-1, 1/3
Suppose -4*w - 33 = 3*l, w + 3*l = -w - 21. Let f = w - -27. Determine o so that 10*o**4 - 14*o**5 + 5*o**5 + f*o**3 - 12*o - 15*o**4 - 7*o**4 + 12*o**2 = 0.
-2, -1, 0, 2/3, 1
Let i be 3/2*(-202)/(-12). Let b = i - 25. What is m in -1/2*m - 1/4 + 1/2*m**3 + b*m**2 = 0?
-1, -1/2, 1
Suppose 6/5*n + 0 - 3/5*n**2 = 0. Calculate n.
0, 2
Factor 66/7*x**3 - 58/7*x**4 + 4/7*x + 18/7*x**5 + 0 - 30/7*x**2.
2*x*(x - 1)**3*(9*x - 2)/7
Find w such that 12*w**2 - 16 - w**4 + w**3 + 16*w - 9*w**3 - 3*w**4 = 0.
-2, 1
Factor 8*g + 4*g**2 - 11 + 16*g + 47.
4*(g + 3)**2
Let k(r) be the second derivative of r**7/21 - r**6/3 + 9*r**5/10 - 7*r**4/6 + 2*r**3/3 - 15*r. Let k(z) = 0. What is z?
0, 1, 2
Let j(a) be the second derivative of a**6/50 + 3*a**5/100 - a**4/10 - 7*a. Let j(m) = 0. What is m?
-2, 0, 1
Let z(l) = -2*l**3 - 2*l**2 - l - 2. Let n be z(-2). Suppose 14 = -4*p + 6*p - 4*b, -2*p + b + n = 0. Factor -5*r + 3*r - 2*r**p + 4*r.
-2*r*(r - 1)*(r + 1)
Suppose 0 = h + 1 - 3. Suppose -1 = -w + h. Find i such that 1/3*i - 1/3*i**2 - 1/3*i**w + 1/3 = 0.
-1, 1
Suppose 0 = -2*k + 3 + 1. Let z be (-12)/4*k/(-9). Factor 2*f**2 + 2*f + z + 2/3*f**3.
2*(f + 1)**3/3
Let l(t) = -t**3 - t**2 + 6*t + 4. Let a be l(-3). Solve -2/5*c**a + 2/5*c**2 + 0 - 4/5*c + 4/5*c**3 = 0 for c.
-1, 0, 1, 2
What is b in 0 - 4/11*b**2 + 2/11*b**3 + 2/11*b = 0?
0, 1
Let d(x) be the third derivative of x**8/144 + x**7/70 - x**6/72 - x**5/20 - x**4/36 + 9*x**2. Let d(o) = 0. What is o?
-1, -2/7, 0, 1
Let p(a) be the first derivative of -2*a**5/35 + 2*a**3/21 - 10. Factor p(v).
-2*v**2*(v - 1)*(v + 1)/7
Let y(r) = -r**3 + r**2. Let o(h) = -9*h**3 - 24*h**2 - 13*h + 6. Let k(c) = -o(c) + 2*y(c). Determine t so that k(t) = 0.
-3, -1, 2/7
Let h be (-22)/3*126/(-231). Find s such that 9/4*s - 3/2*s**3 - 3/4 - 3/4*s**5 + 9/4*s**h - 3/2*s**2 = 0.
-1, 1
Let u be 1/((-1)/(-3)) + -21. Let i be ((-1)/(-3))/((-2)/u). Factor 4/7*o**2 - 2/7*o - 2/7*o**i + 0.
-2*o*(o - 1)**2/7
Let a(y) be the third derivative of -y**6/40 + y**5/10 - y**4/8 + 7*y**2. Suppose a(d) = 0. Calculate d.
0, 1
Suppose h = -3*b + 4, -5*h = 4*b - 7*h - 22. Let i(t) be the first derivative of -4/15*t**b + 0*t + 1/5*t**2 + 1 + 1/10*t**4. Determine p, given that i(p) = 0.
0, 1
Let h = -2 + 0. Let c be (h/(-20))/(6/24). Factor -c*b + 0 - 2/5*b**4 - 6/5*b**3 - 6/5*b**2.
-2*b*(b + 1)**3/5
Let c(h) be the third derivative of 7*h**5/15 - 3*h**4/2 + 4*h**3/3 - 4*h**2. Factor c(o).
4*(o - 1)*(7*o - 2)
Let b(k) be the second derivative of k**6/6 - 5*k**5/2 - 9*k. Find a, given that b(a) = 0.
0, 10
Determine q so that 0 - 2/11*q**3 + 6/11*q - 4/11*q**2 = 0.
-3, 0, 1
Suppose 2/5*m - 2/5*m**3 + 0 + 0*m**2 = 0. What is m?
-1, 0, 1
Let c(g) be the third derivative of -g**5/60 - g**4/8 + 2*g**3/3 - 13*g**2. Let u be c(-3). Factor 0*v + 0 + 0*v**2 - 1/2*v**3 - 1/2*v**5 - v**u.
-v**3*(v + 1)**2/2
Determine j so that 3 + 9*j + 5*j**5 - 9*j**4 + 6*j**2 - 5*j**5 - 4*j**5 + j**5 - 6*j**3 = 0.
-1, 1
Let r(j) be the third derivative of j**5/30 + 12*j**2 + 1. Factor r(d).
2*d**2
Let h(t) be the second derivative of -t**5/20 + t**4/12 + t**2/2 - t. Let p(r) = 10*r**3 - 2*r - 4. Let l(o) = 4*h(o) + p(o). Factor l(q).
2*q*(q + 1)*(3*q - 1)
Suppose 17 = 3*c + b, 2*b - 32 + 2 = -5*c. Let y(v) be the third derivative of -1/30*v**5 + 0 + 0*v**c + 1/3*v**3 + v**2 + 0*v. Factor y(s).
-2*(s - 1)*(s + 1)
Let t = -2/257 - -263/771. Solve 0 - 1/3*a - t*a**2 = 0.
-1, 0
Factor 8/5*t**3 + 4/5*t**4 - 12/5*t**2 + 0*t + 0.
4*t**2*(t - 1)*(t + 3)/5
Let 0 - 6/11*i**2 + 2/11*i**3 + 4/11*i = 0. Calculate i.
0, 1, 2
Let o(j) be the first derivative of 1/20*j**4 - 1/15*j**3 + 