3*u + 2*o + 29, -3*o = 3*u - 21. Suppose 0*q + 6 = u*q. Find n, given that n - n + n**2 + 0*n**q = 0.
0
Let c(o) = o**2 - 40*o - 80. Let g(m) = -3*m**2 + 80*m + 160. Let u(s) = -13*c(s) - 6*g(s). Factor u(v).
5*(v + 4)**2
Let c(a) be the third derivative of a**7/5880 - a**5/280 + a**4/12 + 10*a**2. Let j(u) be the second derivative of c(u). Factor j(o).
3*(o - 1)*(o + 1)/7
Let g(z) be the third derivative of z**7/525 + 13*z**6/300 + 11*z**5/50 + 31*z**4/60 + 2*z**3/3 - 27*z**2. Find q, given that g(q) = 0.
-10, -1
Suppose -w + 6 = 2*p, 3*p - 4 - 8 = -3*w. Determine n, given that 1 + 1/2*n**w + 3/2*n = 0.
-2, -1
Let v(z) = -5*z**2 - 3*z - 2. Let r(b) = b**2 + 9*b + 5. Let k be r(-9). Let d(l) = -6*l**2 - 4*l - 3. Let u(j) = k*v(j) - 4*d(j). Factor u(y).
-(y - 2)*(y + 1)
Let n = 20 + -15. Let b(t) be the second derivative of 1/12*t**4 + 0 + 1/10*t**n - 1/10*t**6 + 2*t + 0*t**3 + 0*t**2. Find w, given that b(w) = 0.
-1/3, 0, 1
Let q(u) = -u**2 + u. Let b(y) be the first derivative of 9*y**5/5 + 15*y**4/4 - 2*y**3 + 3*y**2 - 2. Let p(r) = b(r) - 9*q(r). Factor p(n).
3*n*(n + 1)**2*(3*n - 1)
Let b(c) be the third derivative of -c**8/504 + 2*c**7/945 + c**6/60 - c**4/27 - 5*c**2. Find o such that b(o) = 0.
-1, 0, 2/3, 2
Let j be 28/(-36) - (9/(-3))/3. Factor 0 + j*z**4 + 2/9*z + 2/3*z**2 + 2/3*z**3.
2*z*(z + 1)**3/9
Let c be (2/96)/(50/90). Let s(w) be the second derivative of -7/24*w**4 + 2*w - w**2 + 0 + 5/6*w**3 + c*w**5. Determine q so that s(q) = 0.
2/3, 2
Let m(t) be the second derivative of 0 + 0*t**2 - 1/9*t**4 + 4/15*t**6 + t + 0*t**3 + 1/10*t**5 + 1/9*t**7. Solve m(k) = 0 for k.
-1, 0, 2/7
Let c be (-20)/(-21)*1 + 12/(-42). Let z(i) = i**3 + 6*i**2 - i - 3. Let b be z(-6). Factor 2/3*q**2 + 0*q**b - c*q**4 + 0 - 1/3*q + 1/3*q**5.
q*(q - 1)**3*(q + 1)/3
Suppose -5*f**4 + 12*f**2 - 7*f**4 - 8*f + 8*f**4 = 0. What is f?
-2, 0, 1
Let u(w) = w - 6. Let y be u(4). Let h be -2*y*(-7)/(-4). Factor 7*f**2 - h*f**2 - 2*f**3 + 2*f**4.
2*f**3*(f - 1)
Suppose 0 = -0*j - 2*j + 6. Suppose 9 = j*v - 0. Determine c, given that -1/4*c**5 + 1/2*c**2 - 1/2*c**4 + 0 + 0*c**v + 1/4*c = 0.
-1, 0, 1
Suppose 2 = 3*i - 2*i. What is a in 13*a**3 - 4 - 4*a**3 + 90*a - 30*a + 28 + 42*a**i = 0?
-2, -2/3
Let f(l) = -7*l**3 - 2*l**2 + 10*l - 1. Let q = -8 + 11. Let r(m) = 3*m**2 + 1 + 0*m**2 - m**3 - q*m**2. Let v(b) = f(b) - 3*r(b). Find i such that v(i) = 0.
-2, 1/2, 1
Let d(g) = -g**2 + g - 1. Let u(m) = 5*m**2 - 5*m + 2. Let n(w) = -2*d(w) - u(w). Factor n(k).
-3*k*(k - 1)
Let s(n) = n**2 - n. Suppose 4*o = 3*t + 5, 2*o - 2*t + 0*t = 2. Let k(r) = 2*r**2 + o*r - r**2 - 2*r**2. Let a(g) = -k(g) - 2*s(g). Factor a(l).
-l**2
Factor 1/3*r**5 + 4/3*r**4 + 0*r + 0 + 5/3*r**3 + 2/3*r**2.
r**2*(r + 1)**2*(r + 2)/3
Suppose 33 = 5*v + b, 2*v + 0*v + 5*b - 27 = 0. Suppose 0 = v*u - u - 15. Factor -2*k**2 + 2*k**5 - 2*k**5 + u*k**5 + 4*k**4 - k**3.
k**2*(k + 1)**2*(3*k - 2)
Let p = -40 - -202/5. Let j be 6/(-1)*2/(-30). Find i, given that -4/5*i**3 + 4/5*i + 0*i**2 - p + j*i**4 = 0.
-1, 1
Let d(m) be the first derivative of m**5/120 - m**3/12 + 5*m**2/2 - 2. Let h(j) be the second derivative of d(j). Solve h(l) = 0 for l.
-1, 1
Let s(c) be the second derivative of -c**7/2520 + c**6/240 - c**5/60 + 5*c**4/12 - 3*c. Let o(t) be the third derivative of s(t). Factor o(b).
-(b - 2)*(b - 1)
Let x = -118 + 355/3. Find l such that 0 + 0*l**2 + 0*l - x*l**3 = 0.
0
Let x(v) be the first derivative of -2*v**5/15 - v**4/3 + 2*v**3/9 + 2*v**2/3 - 1. Solve x(i) = 0 for i.
-2, -1, 0, 1
Determine f so that 10*f**2 - 5/3*f**4 + 0*f**3 + 40/3*f + 5 = 0.
-1, 3
Let g = -459/2 + 230. Determine m so that -g*m**3 + 0 + 2*m**2 - 2*m = 0.
0, 2
Let d(q) be the first derivative of q**6/30 + 3*q**5/20 + q**4/4 + q**3/6 + 3*q**2/2 - 2. Let o(m) be the second derivative of d(m). Let o(u) = 0. What is u?
-1, -1/4
Factor g**3 - 4*g + 10*g + 3*g**2 - 6*g.
g**2*(g + 3)
Let k(a) be the first derivative of a**7/350 - a**6/200 - 3*a**5/100 + a**4/8 - a**3/5 - 5*a**2 + 2. Let c(s) be the second derivative of k(s). Factor c(q).
3*(q - 1)**3*(q + 2)/5
Determine n so that 152/3*n - 16/3 - 140*n**2 + 686/3*n**4 + 98/3*n**3 = 0.
-1, 2/7
Let m(u) be the first derivative of u**3/3 + u**2 - 3. Factor m(l).
l*(l + 2)
Let g be (27/(-36))/((-3)/8). Let l(q) be the first derivative of -1/12*q**3 - q + 1 + 1/2*q**g. Factor l(r).
-(r - 2)**2/4
Suppose -3*u = -0*u + 15, -3*u = -3*k + 21. Suppose 4*l - 3*w = -15, 0 = -0*l + k*l - 4*w + 20. Factor -1/2*g**2 + 0 + l*g - 1/2*g**3.
-g**2*(g + 1)/2
Let x(m) be the third derivative of -m**7/490 - m**6/280 + 3*m**5/140 + 5*m**4/56 + m**3/7 - 3*m**2. Factor x(a).
-3*(a - 2)*(a + 1)**3/7
Let q(w) be the third derivative of w**6/240 - w**5/60 - 7*w**4/48 - w**3/3 + w**2. Solve q(i) = 0 for i.
-1, 4
Suppose 12*r + 3 - r**2 - 38 - 1 = 0. Calculate r.
6
Let a(x) = x**3 + 7*x**2 + x + 9. Let l be a(-7). Factor -3*r**3 + 2*r + 2*r + r - l*r.
-3*r*(r - 1)*(r + 1)
Factor 9/5*x**3 + 0*x - 5*x**5 + 0 + 1/5*x**2 + 3*x**4.
-x**2*(x - 1)*(5*x + 1)**2/5
Let i = -6 - -13/2. Suppose 1/2*g**3 + 0 + i*g + g**2 = 0. Calculate g.
-1, 0
Let z(c) be the second derivative of -1/80*c**5 + 1/2*c**2 - 1/2*c**3 - 7*c - 1/40*c**6 + 0 + 1/168*c**7 + 11/48*c**4. Factor z(i).
(i - 2)*(i - 1)**3*(i + 2)/4
Suppose -1/5*a**3 - 1/5*a**2 + 0 + 1/5*a**4 + 1/5*a = 0. What is a?
-1, 0, 1
Let x be (-27)/(-9) + 0 + -2. Let v(p) be the first derivative of 2/27*p**3 + x + 1/6*p**4 + 0*p - 2/9*p**2. Determine m so that v(m) = 0.
-1, 0, 2/3
Factor 4/7*g**3 + 0 - 8/7*g - 4/7*g**2.
4*g*(g - 2)*(g + 1)/7
Suppose 21 = t + 5*p, t + 10 = 5*p + 1. Determine b so that 5*b + 2*b**3 + 0*b**3 + 4 - t*b**2 + 14*b**2 + 5*b = 0.
-2, -1
What is v in -12*v**2 - 2*v**4 + 8*v**2 + 6*v**4 + 2*v**2 - 7*v**3 = 0?
-1/4, 0, 2
Let x be 1 - (4 + 28/(-8)). Let z(l) be the first derivative of l**2 + 10/9*l**3 - 3 - 2/3*l - 8/15*l**5 - x*l**4. Determine f so that z(f) = 0.
-1, 1/4, 1
Suppose 4*i + 1 - 13 = 0. Let o(h) be the second derivative of 1/14*h**5 + h - 5/21*h**i + 0 + 2/7*h**2 - 1/21*h**4. Determine a so that o(a) = 0.
-1, 2/5, 1
Let i(l) be the third derivative of -l**8/84 - 26*l**7/315 - 13*l**6/90 + l**5/5 + 8*l**4/9 + 8*l**3/9 + 18*l**2. Determine x so that i(x) = 0.
-2, -1, -1/3, 1
Let p be 3 + -1 + 2 - 2/(-4). Let s(z) be the first derivative of -1/4*z**4 - 3*z**3 - 2*z - 1 + 3/5*z**5 + p*z**2. Solve s(o) = 0 for o.
-2, 1/3, 1
Factor 0 - 2/3*b - 1/3*b**2.
-b*(b + 2)/3
Let k be (10/35)/((-5)/(-7)). Let p(f) be the first derivative of k*f**2 + 4/5*f - 1/10*f**4 + 1 + 1/25*f**5 - 1/5*f**3. Factor p(d).
(d - 2)**2*(d + 1)**2/5
Let p be (-4)/(-5)*(-15)/6. Let n be ((-2)/(-4))/(p/(-16)). Factor h - 2*h**n - h**5 - 5*h**2 + h**2 + 5*h**2 + h**2.
-h*(h - 1)*(h + 1)**3
Let k(v) = -5*v**3 - 7*v**2 - 36*v. Let i(w) = w**3 + w**2 + 6*w. Let g(z) = 34*i(z) + 6*k(z). Suppose g(c) = 0. Calculate c.
-1, 0, 3
Find z such that -69*z**4 - 18*z**3 + 55 - 21*z**5 + 84*z**2 + 24*z - 55 = 0.
-2, -2/7, 0, 1
Let j be 6/4 - (-2)/4. Let f be (-4 + 1)*5/(-120)*2. Factor 1/2 - 3/4*g + f*g**j.
(g - 2)*(g - 1)/4
Suppose -5*q = -2*f + 4, 2*q + 0*q + 2 = f. Let b(a) be the first derivative of -3/7*a**f + 2 + 4/21*a**3 - 4/7*a. Factor b(l).
2*(l - 2)*(2*l + 1)/7
Let c(y) be the first derivative of y**6/12 + 4*y**5/15 + 7*y**4/24 + y**3/9 + 5. Factor c(t).
t**2*(t + 1)**2*(3*t + 2)/6
Let f(b) = -3*b**4 - 5*b**3 + 8*b**2. Let h(l) = 2*l**4 + 6*l**3 - 8*l**2. Let n(r) = 6*f(r) + 7*h(r). Factor n(c).
-4*c**2*(c - 2)*(c - 1)
Let f = 5 - 9/2. Factor -1 - 1/2*s + s**2 + f*s**3.
(s - 1)*(s + 1)*(s + 2)/2
Let p(n) be the second derivative of 1/6*n**4 - 2/3*n**3 + 1/20*n**5 + 0 - 4*n**2 + 5*n. Factor p(b).
(b - 2)*(b + 2)**2
Let m(j) = j - 5. Let d be m(7). Suppose -9 = -h - d*h. Factor -b**h - b**4 + 0*b**4 + 3*b**4 - b**4.
b**3*(b - 1)
Let g(r) = 3*r**2 + r - 7. Let i(f) = 2*f**2 + f - 4. Suppose -b = 3 + 7. Let l(v) = b*i(v) + 6*g(v). Suppose l(p) = 0. Calculate p.
-1
Let g(o) = 12*o**4 - 45*o**3 - 15*o**2 + 135*o - 87. Let v(q) = -3*q**4 + 11*q**3 + 4*q**2 - 34*q + 22. Let b(s) = -2*g(s) - 9*v(s). Solve b(f) = 0 for f.
-2, 1, 2
Suppose 2*i = -2*x + 6, -5*i + 3*x - 7 = -38. Suppose -22*y**3 - 3*y**2 + 4*y**3 - 19*y**i - 27*y**4 + 7*y**5 = 0. What is y?
-1, -1/4, 0
Let u(k) be the se