ve h(g) = 0.
2, 4
What is n in -5/2*n**4 + 1/2*n**2 + 0 - n**5 - 3/2*n**3 + 1/2*n = 0?
-1, 0, 1/2
Suppose 102 = 4*v + 2*k, -6*v + 2*v = -2*k - 98. Let n be (v/8)/(9/36). Suppose -41/2*u**2 + 45/2*u**4 - 1/2*u**3 - 2 + n*u**5 - 12*u = 0. What is u?
-1, -2/5, 1
Suppose -g + 1 = 1. Let b(i) be the second derivative of 0*i**4 - 1/21*i**7 + 0*i**2 + 1/10*i**5 + g*i**3 + 0 + 0*i**6 - 3*i. What is f in b(f) = 0?
-1, 0, 1
Let h(u) = 3*u**2 - 69*u - 67. Let w(j) = 20*j**2 - 448*j - 436. Let z(r) = -32*h(r) + 5*w(r). Factor z(i).
4*(i - 9)*(i + 1)
Factor -3/4*d**2 - 1/4*d**3 + d + 0.
-d*(d - 1)*(d + 4)/4
Determine v so that -25*v - 17*v**2 + 11 + 22*v**2 + 9 = 0.
1, 4
Let f(a) = a**2 - 3*a + 1. Let q be f(3). Let x(g) = g**2 - 52 + 52 + 5*g. Let c(r) = -r**2 - r. Let p(s) = q*x(s) + 3*c(s). Determine h so that p(h) = 0.
0, 1
Let y(d) be the third derivative of -d**7/315 + 2*d**6/45 - 4*d**5/15 + 8*d**4/9 - 16*d**3/9 - 7*d**2. What is w in y(w) = 0?
2
Suppose -x + 3*y + 2*y = -14, -5*x = -4*y - 28. Suppose 7 + 9 = x*w. Find z such that -6*z**3 + z**4 + 3*z**4 + 10*z**2 + 2*z**5 - w*z - 6*z**4 = 0.
-2, 0, 1
Let g be 2/24 + 3/12. Let f = 1/142 + 281/426. Factor f - 2/3*u**2 - 1/3*u + g*u**3.
(u - 2)*(u - 1)*(u + 1)/3
Let 0 + 2/3*q + 0*q**2 - 2/3*q**3 = 0. What is q?
-1, 0, 1
Let w(k) = k**5 + 2*k**4 - 4*k**2 + k - 2. Suppose 4 = 3*u - 5. Let g(q) = -q**5 - 2*q**4 + 5*q**2 - 2*q + 3. Let z(n) = u*w(n) + 2*g(n). Factor z(x).
x*(x - 1)*(x + 1)**3
Factor 21/2*t + 147/4 + 3/4*t**2.
3*(t + 7)**2/4
Factor -1/3*h**3 + h**2 + 1/3 - h.
-(h - 1)**3/3
Suppose 24*p = 43 + 5. What is l in l**5 - 1/4*l + 5/4*l**p - 3/4*l**3 - 5/4*l**4 + 0 = 0?
-1, 0, 1/4, 1
Let k(n) be the third derivative of 0 + 2/75*n**5 + 0*n + n**2 + 1/60*n**4 + 0*n**3. Factor k(h).
2*h*(4*h + 1)/5
Determine o so that 1/5*o**2 + 1/5 - 2/5*o = 0.
1
Suppose -3*t + 28 + 1 = 5*k, 0 = -5*t - 3*k + 43. Let u = 11 - t. Find j such that 0*j - 4/7*j**2 + 2/7*j**4 + 0 - 2/7*j**u = 0.
-1, 0, 2
Let u(r) = -4*r + 8. Let d(p) = p - 3. Let t(m) = 7*d(m) + 2*u(m). Let y be t(-7). Suppose -3*c**2 + 2*c**y + 2*c**2 = 0. Calculate c.
0
Let l(h) = -h**2 - 4*h + 1. Let u be l(5). Let n be (-2)/4 + u/(-24). Suppose 14/3*f - 4/3 - n*f**2 - 2*f**3 = 0. What is f?
-2, 1/3, 1
Let n(s) be the second derivative of -5*s**4/12 + 5*s**3/2 + 10*s**2 + 3*s + 3. Let n(f) = 0. What is f?
-1, 4
Let z = 80 + -136. Let j be z/(-60) - 6/10. Find u, given that 0 + j*u**2 + 0*u = 0.
0
Let q(v) be the third derivative of -v**7/1680 + v**6/320 - v**5/240 - 2*v**2. Solve q(o) = 0 for o.
0, 1, 2
Let v(q) = q**2 + 13*q + 4. Let s be v(-13). Factor -3 + 0*t**3 + 2*t**3 + 0*t**2 - 1 - 2*t + s*t**2.
2*(t - 1)*(t + 1)*(t + 2)
Let a(x) be the first derivative of x**3/6 - x/2 - 14. Determine m, given that a(m) = 0.
-1, 1
Let w = -32 + 5. Let r be (1 + 2)*w/(-45). Suppose -2/5*z - r*z**2 + 0 = 0. What is z?
-2/9, 0
Let k(w) be the second derivative of 3*w**5/20 - w**4/2 - 13*w. Factor k(g).
3*g**2*(g - 2)
Let z(i) = -i**2 - 8*i. Let s be z(-7). Suppose s*l**3 - 3 - l**3 + 12*l**2 + 0*l**2 - 4*l**4 - 6*l**5 - 5*l**4 = 0. What is l?
-1, 1/2, 1
Let j(q) = -q - 80. Let z be j(0). Let t be z/45 - (-3 + 1). Determine y so that 0*y**2 + 0 - 2/9*y + t*y**3 = 0.
-1, 0, 1
Let w = -15194405567/1212 + 12536639. Let g = w + 2/303. Factor 0*t - g + 3/4*t**2.
3*(t - 1)*(t + 1)/4
Let s(z) = z**2 + 11*z - 60. Let g be s(-15). Factor -5/3*n**3 - n**2 + g + 2/3*n.
-n*(n + 1)*(5*n - 2)/3
Suppose -5*b - 5*y = -10*y + 20, 0 = -3*b + 4*y - 16. Factor 0*l + b - 3/2*l**4 - 3/2*l**5 + 3/2*l**2 + 3/2*l**3.
-3*l**2*(l - 1)*(l + 1)**2/2
Let h(m) = -2*m**5 + 4*m**4 + 10*m**3 - 4*m**2 - 4*m. Let b(v) = -v**5 - v**3 + v. Let x(w) = -4*b(w) - h(w). What is q in x(q) = 0?
-1, 0, 2/3, 1
Let o(t) be the third derivative of -1/200*t**6 + 0*t**3 - 1/150*t**5 + 0 + 7*t**2 + 0*t + 1/210*t**7 + 0*t**4. Factor o(f).
f**2*(f - 1)*(5*f + 2)/5
Let z(x) be the first derivative of -x**8/80 - 2*x**7/35 - 11*x**6/120 - x**5/20 + x**3 + 2. Let t(n) be the third derivative of z(n). Factor t(r).
-3*r*(r + 1)**2*(7*r + 2)
Let o(i) be the second derivative of i**5/4 - 5*i**4/6 + 5*i**3/6 + 12*i. Factor o(d).
5*d*(d - 1)**2
Let b(p) be the third derivative of p**8/168 + 8*p**7/105 + p**6/3 + 8*p**5/15 - 12*p**2. Factor b(y).
2*y**2*(y + 2)**2*(y + 4)
Let u(d) be the first derivative of -2/15*d**5 + 1/9*d**6 - 1/6*d**4 + 0*d + 0*d**2 + 2/9*d**3 - 5. Factor u(v).
2*v**2*(v - 1)**2*(v + 1)/3
Suppose -432 = -2*x - x. Let l be (-4)/(-18) + 40/x. Let -1/4*a**2 + l*a - 1/4 = 0. Calculate a.
1
Let s be (-4 + 2/(-2 + 3))/(-1). Let j = -9/2 + 5. Find l, given that -1/2*l**s - l - j = 0.
-1
Let v(u) be the first derivative of u**6/3 - u**4 + u**2 + 1. Suppose v(f) = 0. Calculate f.
-1, 0, 1
Let k be (-2)/(20/6 - 4). Let g(u) = 4*u**2 - 3*u + 1. Suppose 1 = 2*i + 5. Let c(o) = 5*o**2 - 4*o + 2. Let z(h) = i*c(h) + k*g(h). Factor z(m).
(m - 1)*(2*m + 1)
Factor 5 + 5*q**4 + 0*q**4 + 20*q + 20*q**3 + 16*q**2 + 14*q**2.
5*(q + 1)**4
Let t = 12 + -23/2. Factor -t*z**4 + 1/2*z**3 + 0 + 1/2*z**2 - 1/2*z.
-z*(z - 1)**2*(z + 1)/2
Let p(f) be the third derivative of 0 - 1/36*f**4 + 0*f + 0*f**3 + f**2 - 1/90*f**5. Factor p(r).
-2*r*(r + 1)/3
Let j(w) be the first derivative of 21/5*w**5 + 27/2*w**2 + 2 - 6*w - 27/4*w**4 - 5*w**3. Factor j(f).
3*(f - 1)**2*(f + 1)*(7*f - 2)
Let y = 9 + -9. Let m = y - -5. Solve 3*k**3 - 1 - m*k**2 - 3*k + 4*k**2 - 4*k**3 - 2*k**2 = 0 for k.
-1
Let l = -879 + 14947/17. Let p = 40/119 + l. Let 2/7*z**5 + 4/7*z**2 + 2/7 - 6/7*z + p*z**3 - 6/7*z**4 = 0. What is z?
-1, 1
Let c be -1*5*4/(-30). Let d be (11 + (-803)/66)*8/(-14). Find a such that c*a**2 - 2/3*a - d + 2/3*a**3 = 0.
-1, 1
Let o(c) be the first derivative of 2/3*c**4 + 1 + 0*c + 0*c**2 + 2/9*c**5 + 8/27*c**3. Factor o(j).
2*j**2*(j + 2)*(5*j + 2)/9
Factor -108*s - 46*s**3 - 18*s**2 + 20*s**3 + 25*s**3 - 216.
-(s + 6)**3
Let m = -142/9 + 148/9. Factor 1/3*d**2 + 1/3 - m*d.
(d - 1)**2/3
Let m(q) = -q - 1. Let k be m(-1). Let l(z) be the first derivative of k*z**2 + 1 - 1/12*z**3 + 1/4*z. Factor l(o).
-(o - 1)*(o + 1)/4
Let j be 0 + -3*(-12)/81. Factor -2/9 + 2/9*h + j*h**2.
2*(h + 1)*(2*h - 1)/9
Let z(p) be the first derivative of -p**6/420 - p**5/70 - p**4/28 - p**3/21 - 3*p**2/2 - 3. Let o(b) be the second derivative of z(b). Factor o(w).
-2*(w + 1)**3/7
Factor -n**5 - 3*n**4 - 14*n**3 + 8*n**3 + 4*n**3.
-n**3*(n + 1)*(n + 2)
Factor 5/4*c**4 - 7/4*c**2 - 3/4*c + 1/2 + 3/4*c**3.
(c - 1)*(c + 1)**2*(5*c - 2)/4
Let l(a) be the third derivative of 1/66*a**4 - 5*a**2 + 0 - 1/330*a**5 + 0*a - 1/33*a**3. Factor l(u).
-2*(u - 1)**2/11
Find i such that -2/9*i**2 - 10/9 - 4/3*i = 0.
-5, -1
Let z = -295 - -3247/11. Factor 0*y**2 - 2/11*y**5 + z*y**4 + 0*y + 0*y**3 + 0.
-2*y**4*(y - 1)/11
Let u(n) be the first derivative of 1/7*n**2 + 2/21*n**3 - 4/7*n - 4. Factor u(y).
2*(y - 1)*(y + 2)/7
Let f(l) = l**2 + 7*l + 9. Let j be f(-6). Solve -24*z + 15*z**j - 3*z**2 + 3*z**4 + 2*z**5 - 5*z**5 - 20 + 8 = 0.
-1, 2
Let p(r) be the second derivative of -r**6/20 - 3*r**5/10 + r**4/4 + 3*r**3 - 27*r**2/4 + 5*r. Determine c, given that p(c) = 0.
-3, 1
Let z(u) = 1. Let b(t) = -2*t**4 - 10*t**3 - 18*t**2 - 14*t - 9. Let i(v) = 2*b(v) + 10*z(v). Determine a, given that i(a) = 0.
-2, -1
Let s(a) = 15*a**2 + 6*a - 12. Let j(l) = l**2 - 1. Let f(k) = 12*j(k) - s(k). Factor f(q).
-3*q*(q + 2)
Let f(z) be the first derivative of z**7/840 + z**6/180 + z**5/120 - z**3/3 + 1. Let v(k) be the third derivative of f(k). Factor v(d).
d*(d + 1)**2
Let n be (0 + -3 - -2) + 3. Let l be n/(0 + -18)*-2. Find p, given that 0 - 2/9*p**4 + 2/9*p**2 + 2/9*p**3 - l*p = 0.
-1, 0, 1
Suppose 3 = -60*g + 61*g. Let a(i) be the third derivative of -1/240*i**6 + 3*i**2 + 0*i**g + 0*i + 5/1344*i**8 + 0 + 0*i**4 - 1/280*i**7 + 0*i**5. Factor a(c).
c**3*(c - 1)*(5*c + 2)/4
Let q(r) be the second derivative of -r**5/90 - 7*r**4/54 + 58*r. Find k such that q(k) = 0.
-7, 0
Suppose -1 - 3 = -2*f. Let a = -8 - -11. Determine s, given that -4*s**2 + 2*s**f - 4*s**a + 3*s**3 = 0.
-2, 0
Let o(h) = 7*h**2 - 2. Let s = 16 + -11. Let n(p) = -8*p**2 + 2. Let t(q) = s*n(q) + 6*o(q). Determine m so that t(m) = 0.
-1, 1
Let f(q) be the second derivative of q**8/840 + q**7/210 + q**6/180 + q**3/3 + 3*q. L