) be the first derivative of c(h). Suppose u(s) = 0. What is s?
1
Let n be 18/63 + (-24)/(-14). What is z in 2*z + 0*z**4 + z**4 + z**5 - n*z**5 + 0*z**5 - 5*z**2 + 3*z**3 = 0?
-2, 0, 1
Let n(j) = 11*j**3 - 11*j**2 + 6*j + 11. Let v = 10 + -16. Let m(o) = -2*o**3 + 2*o**2 - o - 2. Let d(a) = v*n(a) - 34*m(a). Factor d(c).
2*(c - 1)**2*(c + 1)
Let m(v) = 7*v**5 + 14*v**4 - 65*v**3 + 172*v**2 - 184*v + 72. Let c(x) = x**5 + x**3 - x + 1. Let d(s) = 40*c(s) - 5*m(s). Suppose d(b) = 0. What is b?
1, 4
Suppose -5 = -5*m + 5*c, c - 3*c + 13 = 3*m. Let m - 6 - 2*b**3 + 2*b + 3 = 0. What is b?
-1, 0, 1
Let d(i) be the second derivative of -i**7/21 - 2*i**6/15 + i**5/5 + 2*i**4/3 - i**3/3 - 2*i**2 + 11*i. Solve d(j) = 0 for j.
-2, -1, 1
Let r = 7/38 - -6/19. Let n(u) be the second derivative of -1/14*u**7 + r*u**4 - 2/5*u**6 + 5/2*u**3 + 0 + 3*u**2 - 3/5*u**5 + u. Find w such that n(w) = 0.
-2, -1, 1
Let x(z) = 2*z**3 - z + 1. Let y be x(1). Suppose 2*b + b - 6 = y*r, -9 = 3*r. Find g, given that b - 2/9*g**3 + 2/9*g + 0*g**2 = 0.
-1, 0, 1
Suppose 2*k + 3 = 3*u, -2*k - 4*u - 4 = -22. Factor 4*b - 25*b**2 + 4 - 16*b**4 - 3*b + 44*b**3 - 11*b**2 + k*b.
-4*(b - 1)**3*(4*b + 1)
Let l(d) be the second derivative of d**6/720 - d**4/48 - d**3/2 + 2*d. Let c(h) be the second derivative of l(h). Find i, given that c(i) = 0.
-1, 1
Let s(f) be the first derivative of 0*f + 0*f**2 - 7 - 1/10*f**5 + 0*f**3 + 1/4*f**4. Find u, given that s(u) = 0.
0, 2
Let g(p) be the first derivative of -3*p**4/10 - 2*p**3/3 - 2*p**2/5 + 30. Factor g(d).
-2*d*(d + 1)*(3*d + 2)/5
Let f be (-2)/12 - -3*85/450. Factor 2/5 + 8/5*h + f*h**4 + 12/5*h**2 + 8/5*h**3.
2*(h + 1)**4/5
Suppose -g + 6 = -b - 3*b, -5 = -3*g - b. Find j, given that j**g - 3*j**2 + 2*j**3 - 2*j**2 + 0*j**2 + 2*j = 0.
0, 1
Let s be (27/18)/(3/4). Suppose 6*j**4 + j**5 + s*j**5 - 9*j**4 = 0. What is j?
0, 1
Let y(p) be the second derivative of -p**4/4 + p**3/2 + 5*p. Factor y(v).
-3*v*(v - 1)
Let c(a) be the first derivative of 2/5*a**2 - 2/25*a**5 + 1 - 1/5*a**4 + 0*a**3 + 2/5*a. Find q such that c(q) = 0.
-1, 1
Let z(n) = 3*n**2 + n + 2. Let y(o) = -38*o**2 - 3*o + 5. Let b(m) = -13*m**2 - m + 2. Let r(g) = -17*b(g) + 6*y(g). Let c(v) = 2*r(v) + 5*z(v). Factor c(t).
(t + 1)*(t + 2)
Let h = -8 - -12. Let r(w) be the first derivative of 0*w - 2 + 7/3*w**3 - w**2 - 5/4*w**h. Determine m so that r(m) = 0.
0, 2/5, 1
Let h be ((-1)/4)/((-3)/12). Let a(f) = 2*f**3. Let p(n) = n. Let u(b) = h*a(b) - 2*p(b). Solve u(i) = 0 for i.
-1, 0, 1
Suppose 0*v + 5*v = 0. Suppose v = -2*o - 2*o. Factor 2/3*c + 2/3*c**5 + 4*c**3 + o - 8/3*c**4 - 8/3*c**2.
2*c*(c - 1)**4/3
Let j = -45 + 406/9. Let x(a) be the first derivative of -j*a**3 - 1 - 1/6*a**2 + 2/3*a. What is m in x(m) = 0?
-2, 1
Let z(i) = 2*i**2 - 4. Let w(t) = -4*t**2 + 9. Let k(v) = -2*w(v) - 5*z(v). Factor k(m).
-2*(m - 1)*(m + 1)
Let q(l) be the second derivative of 3*l - 1/12*l**6 + 0*l**2 + 1/5*l**5 - 1/24*l**4 - 1/6*l**3 + 0. Determine a, given that q(a) = 0.
-2/5, 0, 1
Let i = -441 + 1779/4. Let g(c) be the second derivative of i*c**4 + 0 + 2/5*c**6 + 3/2*c**2 + 4*c - 39/20*c**5 - 7/2*c**3. Find b, given that g(b) = 0.
1/4, 1
Let c(o) be the second derivative of 1/30*o**5 - 1/90*o**6 + 0 + 0*o**3 + 0*o**2 - 1/36*o**4 - o. Let c(p) = 0. What is p?
0, 1
Let h(u) = 9*u**4 - 45*u**3 + 74*u**2 - 56*u + 18. Let r(x) = 3*x**4 - 15*x**3 + 25*x**2 - 19*x + 6. Let s(f) = 2*h(f) - 7*r(f). Suppose s(b) = 0. What is b?
1, 2
Let x(m) = m**2 - 9*m + 16. Let h be x(7). Let b(o) be the second derivative of 1/18*o**4 + 1/45*o**6 + 1/15*o**5 + 0 + 0*o**3 + o + 0*o**h. Solve b(d) = 0.
-1, 0
Factor 1/5*r**3 - 4/5 - r**2 + 8/5*r.
(r - 2)**2*(r - 1)/5
Let r be (-30)/8*(-9)/180. Let t(l) be the first derivative of 3/20*l**5 + r*l**4 + 1/12*l**3 + 0*l + 1 + 0*l**2 + 1/24*l**6. Suppose t(w) = 0. Calculate w.
-1, 0
Let p = -15 + 6. Let n be (-516)/p*(-5)/(-10). Suppose -32/3*q**4 - 44/3*q - 8/3 - n*q**2 - 5/3*q**5 - 77/3*q**3 = 0. What is q?
-2, -1, -2/5
Let w(l) be the second derivative of -2*l + 0 - 1/3*l**4 - 8/9*l**2 - 1/135*l**6 + 7/90*l**5 + 20/27*l**3. Solve w(x) = 0 for x.
1, 2
Let q(y) be the second derivative of 0*y**2 + 0 + y + 0*y**5 + 0*y**3 - 1/40*y**6 + 1/16*y**4. Factor q(h).
-3*h**2*(h - 1)*(h + 1)/4
Let u(q) be the third derivative of -q**5/210 + q**3/21 + 4*q**2. Solve u(f) = 0 for f.
-1, 1
Suppose 2*s = 2, -5*d = -3*d + 4*s - 12. Let q(x) be the second derivative of -1/5*x**2 + 0 + 1/10*x**3 - 1/60*x**d - 4*x. Find b such that q(b) = 0.
1, 2
Let t = -102 - -102. Factor t - 12/7*h - 3/7*h**3 + 12/7*h**2.
-3*h*(h - 2)**2/7
Let x = -12 - -15. What is k in -4*k**2 - 3*k**5 - 3*k**x + 22*k**4 - 8*k**3 - 5*k**5 + k**3 = 0?
-1/4, 0, 1, 2
Let r = 6/185 - -1068/1295. Suppose -4*m + 2*m = -4. Factor 6/7*l**m + r*l + 2/7*l**3 + 2/7.
2*(l + 1)**3/7
Let q(w) be the first derivative of w**4/16 + w**3/4 - w + 60. Factor q(g).
(g - 1)*(g + 2)**2/4
Let f(h) = 6*h**2 + 8*h + 2. Suppose -2*d + 1 + 1 = 0. Let a be 2/(-2) - d - -5. Let g(n) = -5*n**2 - 7*n - 2. Let l(o) = a*f(o) + 4*g(o). Solve l(b) = 0.
-1
Factor 12*a - 15*a - 21*a - 48 - 3*a**2.
-3*(a + 4)**2
Let g = -5 - -8. Find x, given that g*x**2 - 4*x + 2 - 1 - 5*x**2 - 3 = 0.
-1
Suppose 8 = 4*x, 4 + 10 = 2*i - 3*x. Let m be (-4)/i - 24/(-10). Determine v, given that 2*v**5 + 0*v**4 + 0*v**4 - m*v**3 = 0.
-1, 0, 1
Find s, given that -s**2 + 2*s**2 - 3*s**2 = 0.
0
Factor -2*l**3 + 8/7 + 46/7*l**2 - 40/7*l.
-2*(l - 2)*(l - 1)*(7*l - 2)/7
Let f = -3488/3 + 1207. Let r = -44 + f. Factor 2/3*n + r + 1/3*n**2.
(n + 1)**2/3
Suppose 0 = -5*r + r + 4. Let p(a) be the first derivative of -1/16*a**4 - r + 0*a + 1/8*a**2 + 1/20*a**5 - 1/12*a**3. Factor p(i).
i*(i - 1)**2*(i + 1)/4
Factor 2*i**2 - 4*i**2 + 3*i + 9*i - 18.
-2*(i - 3)**2
Determine u, given that 44/13*u**2 - 64/13 + 18/13*u**3 + 0*u + 2/13*u**4 = 0.
-4, -2, 1
Solve 3*j**4 - 2*j**3 + 3*j**3 - 4*j**4 - j**5 + j**2 = 0 for j.
-1, 0, 1
Suppose -4*j - j = -20. Let p = j + -1. What is u in 0 - 1/2*u**p + 0*u**2 + 0*u = 0?
0
Let q(s) be the second derivative of 0 + 0*s**2 + 1/5*s**6 - s - 1/2*s**7 + 21/20*s**5 - 1/2*s**4 + 0*s**3. Find c, given that q(c) = 0.
-1, 0, 2/7, 1
Let j = -157 - -1109/7. Determine v, given that -2/7*v**4 + 4/7 + j*v + 6/7*v**2 - 2/7*v**3 = 0.
-1, 2
What is v in -2*v**4 + 2*v**3 - 2*v**3 + 7*v**4 - 2*v**3 = 0?
0, 2/5
Factor -5/4*h + 0 + 5/4*h**2.
5*h*(h - 1)/4
Suppose 0 = j - 2*j + 2. Let -3 - w**2 - j*w**2 + 5*w**2 + 1 = 0. What is w?
-1, 1
Let a = 4 + 20. Let o be (-8)/a + 16/3. Determine w, given that 0 + 10/3*w**4 - 6*w**3 + 14/3*w**2 - 4/3*w - 2/3*w**o = 0.
0, 1, 2
Let n(l) = -l**4 - l**3 - 1. Let x(p) = 9*p**4 + 8*p**3 - p**2 + 8. Let w(s) = -24*n(s) - 3*x(s). Let w(r) = 0. Calculate r.
-1, 0, 1
Let f = 97/4 - 24. Factor 1/4*a**3 + f - 1/4*a - 1/4*a**2.
(a - 1)**2*(a + 1)/4
Suppose 9 = 3*s + k - 4, 3*s - 21 = -3*k. Factor -8/5*q**2 + 0 + 0*q - 32/5*q**s - 14/5*q**4.
-2*q**2*(q + 2)*(7*q + 2)/5
Suppose 0*y**3 - 2/9*y**4 + 0*y + 2/9*y**2 + 0 = 0. What is y?
-1, 0, 1
Factor -3*a**2 - 104 + 6*a**2 + 101.
3*(a - 1)*(a + 1)
Let t(j) be the first derivative of 4*j**3/3 + 4*j**2 + 2. Solve t(c) = 0.
-2, 0
Let x be 14/(-36) + (-7)/(-14). Let v(l) be the third derivative of 5/72*l**4 + 1/40*l**6 - x*l**3 + 0*l + l**2 + 0 + 4/45*l**5. Let v(r) = 0. What is r?
-1, 2/9
Let z(c) be the first derivative of -5*c**4/12 - c**3/3 + 2*c**2 - 4*c/3 - 14. Suppose z(w) = 0. What is w?
-2, 2/5, 1
Let z(x) be the third derivative of -x**10/50400 - x**9/20160 + x**8/3360 - x**5/12 - x**2. Let b(s) be the third derivative of z(s). Find k such that b(k) = 0.
-2, 0, 1
Let a(v) be the first derivative of -v**4/8 + 3*v**2/4 - v - 12. Factor a(y).
-(y - 1)**2*(y + 2)/2
Factor 0*b**3 + 0*b + 4*b**3 + 6*b + 12*b**2 + 2*b.
4*b*(b + 1)*(b + 2)
Suppose 9*f = f + 3*f. Factor f + 0*j + 3/4*j**4 - 1/4*j**2 + 1/2*j**3.
j**2*(j + 1)*(3*j - 1)/4
Let i(a) = 9*a**4 - 75*a**3 - 144*a**2 - 84*a. Let w(v) = 2*v**4 - 15*v**3 - 29*v**2 - 17*v. Let o(j) = -5*i(j) + 24*w(j). Suppose o(r) = 0. What is r?
-2, -1, 0
Let q(h) be the third derivative of 7*h**5/30 - 7*h**4/12 - 10*h**3/3 + 9*h**2. Let a(z) = -5*z**2 + 5*z + 7. Let u(n) = -8*a(n) - 3*q(n). Factor u(w).
-2*(w - 2)*(w + 1)
Let l be -5 - (187/(-77) - 