2 + 3*d + 5. Let q(u) = -3*u**2 - 4*u - 6. Let g(x) = h*q(x) - 6*b(x). Determine z, given that g(z) = 0.
-2/3, 0
Let m(f) = f**3 - 7*f**2 + 11*f - 3. Let v be m(5). Let t(z) be the second derivative of 0 - 1/20*z**4 + 0*z**2 + 1/15*z**3 - v*z. Find a, given that t(a) = 0.
0, 2/3
Let n = -3 + 5. Suppose 0 = 2*j - 3*j + 2. Factor -6*w**3 - n*w - 2*w**4 + 4*w**2 + 0*w - 10*w**j.
-2*w*(w + 1)**3
Suppose 4*y - 5*u - 25 = 0, 7*y - 4*u = 11*y + 20. Find x, given that y*x**3 + 0 + 6/5*x**2 - 2/5*x**4 + 4/5*x = 0.
-1, 0, 2
Factor 2/5 + 6/5*v**2 - 2/5*v**3 - 6/5*v.
-2*(v - 1)**3/5
Let p(t) = -t**3 + 8*t**2 + t - 6. Let b be p(8). Factor 0*o**2 + 3*o**2 + 2 - 6 - 2*o**b.
(o - 2)*(o + 2)
Factor -12/7*y - 20/7*y**2 + 0.
-4*y*(5*y + 3)/7
Let p be (10/(-25))/(2/(-10)). Factor 0 + 6/5*k + 3/5*k**p.
3*k*(k + 2)/5
Let s be ((-129)/(-1892))/(3/8). Factor -2/11*v - s*v**2 + 0.
-2*v*(v + 1)/11
Let p(d) be the first derivative of -2/3*d + 17/12*d**4 + 11/6*d**2 - 4 - 1/3*d**5 - 7/3*d**3. Let p(x) = 0. What is x?
2/5, 1
Let x(i) = i + 10. Let y be x(-8). Solve -4*j + 2*j**y + 40*j**3 - 3*j**2 - 5*j**2 = 0 for j.
-1/4, 0, 2/5
Suppose -1/5*w**2 - 2 + 7/5*w = 0. What is w?
2, 5
Let y(k) be the third derivative of k**5/210 + 5*k**4/84 - 2*k**3/7 + 68*k**2. Factor y(r).
2*(r - 1)*(r + 6)/7
Let s = -32 - -37. Let r(h) be the first derivative of -3 + 0*h + 1/6*h**3 - 1/8*h**4 - 1/10*h**s + 1/4*h**2. Factor r(f).
-f*(f - 1)*(f + 1)**2/2
Let l(n) be the first derivative of -2*n**5/45 + 8*n**3/27 + 25. Factor l(x).
-2*x**2*(x - 2)*(x + 2)/9
Let i(b) be the first derivative of -2/7*b**2 - 2/7*b - 2/21*b**3 - 4. Factor i(c).
-2*(c + 1)**2/7
Let a = 23 - 22. Let u(h) be the first derivative of -7/3*h**2 + a - 4/3*h - 2/3*h**3. Factor u(y).
-2*(y + 2)*(3*y + 1)/3
Let c(w) be the first derivative of -4*w**5/5 + 6*w**4 - 52*w**3/3 + 24*w**2 - 16*w - 1. Solve c(f) = 0.
1, 2
Suppose -3*g = -4 - 8. Factor g*x**2 + 2*x**3 - x**4 + 7 - x**4 - 7.
-2*x**2*(x - 2)*(x + 1)
Let q = 41 - 41. Solve -1/3*p**4 + 1/3*p**3 + 1/3*p**2 + q - 1/3*p = 0 for p.
-1, 0, 1
Let x(n) be the second derivative of n**6/6 - 5*n**4/3 + 8*n. What is i in x(i) = 0?
-2, 0, 2
Let r(x) be the first derivative of -x**7/231 - 2*x**6/165 + x**4/33 + x**3/33 + 6*x + 4. Let k(g) be the first derivative of r(g). Find a, given that k(a) = 0.
-1, 0, 1
Suppose 33 = 5*b + 78. Let f(p) = 597*p**3 - 915*p**2 + 384*p - 39. Let h(g) = 149*g**3 - 229*g**2 + 96*g - 10. Let z(j) = b*h(j) + 2*f(j). Factor z(i).
-3*(i - 1)*(7*i - 2)**2
Let g(y) = 3*y**2 + 5*y. Let d be g(0). Factor -2/5*l**3 + d - 2/5*l - 4/5*l**2.
-2*l*(l + 1)**2/5
Suppose -15 = 5*l - 35. Let g(d) be the second derivative of 2*d - 1/12*d**3 + 0 + 0*d**2 - 1/6*d**l - 1/30*d**6 - 1/8*d**5. Let g(c) = 0. Calculate c.
-1, -1/2, 0
Let i(r) = -r - 1. Let q(h) = -2*h**2 + 4*h + 18. Let x(j) = -6*i(j) - q(j). Solve x(u) = 0 for u.
-3, 2
Let m(j) be the second derivative of -j**4/12 - j**3/6 + j**2 + j. Factor m(r).
-(r - 1)*(r + 2)
Let a be (1 - 28/8) + (-12 - -16). Solve -a*x**3 + 0 + 3/2*x**2 + 1/2*x**4 - 1/2*x = 0.
0, 1
Let m(k) = 3*k - 27. Let s be m(9). Determine b so that -5/4*b**2 + s - 1/2*b = 0.
-2/5, 0
Let c(d) be the third derivative of 1/420*d**6 + 0 + 0*d**5 - 1/84*d**4 - 2*d**2 + 0*d**3 + 0*d. Factor c(s).
2*s*(s - 1)*(s + 1)/7
Let a = 21/17 + -113/119. Let d(u) be the first derivative of -2/7*u - 1 - 2/21*u**3 + a*u**2. Let d(o) = 0. What is o?
1
Let n(t) be the first derivative of -2*t**5/25 + t**4/10 + 2*t**3/5 - t**2/5 - 4*t/5 - 5. Determine q, given that n(q) = 0.
-1, 1, 2
Let v(s) be the third derivative of s**7/14 - 17*s**6/40 - 7*s**5/10 + s**4 - 9*s**2. Factor v(q).
3*q*(q - 4)*(q + 1)*(5*q - 2)
Let w be (2/(-2))/(6/(-12)). Let r(v) be the third derivative of 0*v + 1/180*v**5 + 0*v**4 + 0 + 0*v**3 + v**w. Let r(i) = 0. Calculate i.
0
Let v(p) be the third derivative of 1/105*p**7 + 0*p**5 + 0*p**3 + 1/60*p**6 - 4*p**2 + 0 + 0*p + 0*p**4. Factor v(d).
2*d**3*(d + 1)
Let q be 0 + (-2)/(-2 - -1). What is f in f + f**5 - f**2 + f**q - 4*f**2 - 4*f**4 + 6*f**3 = 0?
0, 1
Let c(j) be the first derivative of j**3/9 + 2*j**2/3 + j + 20. Factor c(l).
(l + 1)*(l + 3)/3
Let d(i) be the third derivative of i**6/320 - 3*i**4/64 + i**3/8 + 9*i**2. Factor d(t).
3*(t - 1)**2*(t + 2)/8
Suppose 3*q = 2*y - 14, -4*q = 4*y + q - 6. Let g(w) be the second derivative of -3*w + 0 + 1/2*w**y - 1/2*w**3 + 0*w**2 + 9/20*w**5. What is v in g(v) = 0?
-1, 0, 1/3
Let z(m) be the first derivative of -m**2/2 - 3*m + 1. Let f be z(-5). Let -3*v**3 + f + 6*v - v**3 - 2*v - 2*v**4 = 0. What is v?
-1, 1
Suppose -r = -3 + 2. Find z, given that 3*z**4 - 8 + 6*z**2 + r + 9*z**3 + 7 = 0.
-2, -1, 0
Let r(j) be the second derivative of j**7/2100 - j**6/900 - j**5/300 + j**4/60 + j**3/6 - 3*j. Let p(d) be the second derivative of r(d). Factor p(s).
2*(s - 1)**2*(s + 1)/5
What is g in -11*g**2 + 0*g + 3*g**2 - 17*g**3 + 13*g**3 + 4*g + 8 = 0?
-2, -1, 1
Let y(s) be the first derivative of -2*s**6/21 + 2*s**4/7 - 2*s**2/7 + 11. Solve y(j) = 0 for j.
-1, 0, 1
Factor -1/3*c**4 + 1/3*c**5 - 1/3 - 2/3*c**3 + 1/3*c + 2/3*c**2.
(c - 1)**3*(c + 1)**2/3
Let y(k) be the first derivative of -8*k**5/5 + 5*k**4 - 16*k**3/3 + 2*k**2 - 4. Determine z, given that y(z) = 0.
0, 1/2, 1
Let z(b) be the second derivative of -b**5/60 + b**4/18 + b**3/6 + 19*b. Let z(q) = 0. What is q?
-1, 0, 3
Let w(d) be the second derivative of 2*d**7/21 - 4*d**6/15 - 3*d**5/5 + 4*d**4/3 + 8*d**3/3 + 9*d. Let w(v) = 0. Calculate v.
-1, 0, 2
Find g, given that g**4 - 13*g**2 + 16*g**2 - 4*g + 3*g - 3*g**3 = 0.
0, 1
Let a(h) = 6*h**3 + 120*h**2 + 2*h + 43. Let b be a(-20). Factor 0 - 2/7*w**b + 6/7*w**2 - 4/7*w.
-2*w*(w - 2)*(w - 1)/7
Let x(l) be the first derivative of -16*l**3/15 + 34*l**2/5 - 16*l/5 + 11. What is q in x(q) = 0?
1/4, 4
Let b be 6*(-6 + 3 + (-11)/(-3)). Let k(y) be the first derivative of -1 - 1/4*y**2 + 0*y + 0*y**3 + 1/8*y**b. Factor k(w).
w*(w - 1)*(w + 1)/2
Suppose 0 = 36*d - 38*d. Factor 1/3 + 0*o**3 + d*o - 2/3*o**2 + 1/3*o**4.
(o - 1)**2*(o + 1)**2/3
Let j(t) be the first derivative of -t**9/1512 + t**8/420 - t**6/90 + t**5/60 - 2*t**3/3 - 5. Let r(w) be the third derivative of j(w). Factor r(u).
-2*u*(u - 1)**3*(u + 1)
Let g(u) be the second derivative of -u**5/15 - 2*u**4/3 - 2*u**3 + 10*u. Factor g(b).
-4*b*(b + 3)**2/3
Let j(i) be the first derivative of i**8/7560 - i**6/1620 - 8*i**3/3 - 8. Let q(n) be the third derivative of j(n). Let q(t) = 0. What is t?
-1, 0, 1
Factor -4/7*r**4 + 8/7 - 16/7*r**3 + 2*r - 4/7*r**2 + 2/7*r**5.
2*(r - 4)*(r - 1)*(r + 1)**3/7
Suppose 6*a - 25*a**3 + a**2 + 19*a**3 + 2 - 3*a**2 = 0. Calculate a.
-1, -1/3, 1
Suppose 0 = -0*j + j - 6. Suppose 2*s + 32 = j*s + 5*m, -18 = -2*s - 3*m. Solve 2*h**3 - s + 3 = 0 for h.
0
Let s(n) = n**2 + 51*n + 50. Let m be s(-1). Determine c, given that -1/4*c**2 + 0*c**3 + 1/4*c**4 + m + 0*c = 0.
-1, 0, 1
Let a be 0/((-3)/1*3/(-9)). Determine r, given that -1/3*r**5 - 1/3*r**2 + 1/3*r**4 + a + 1/3*r**3 + 0*r = 0.
-1, 0, 1
Let t = 74 - 220/3. Let d be 3/(-2)*(-4)/9. Factor 2/3*z**3 - d*z**4 + 2/3*z**2 + 0 + 0*z - t*z**5.
-2*z**2*(z - 1)*(z + 1)**2/3
Let j(k) be the first derivative of -3*k**4/20 - k**3/5 + 6*k**2/5 + 12*k/5 - 4. Suppose j(i) = 0. Calculate i.
-2, -1, 2
Let r(w) = 6*w**3 - 35*w**2 + 78*w - 41. Let p(g) = 6*g**3 - 36*g**2 + 78*g - 40. Let a(s) = 5*p(s) - 4*r(s). Solve a(d) = 0 for d.
2/3, 3
Let v(m) be the second derivative of -5*m**7/42 - m**6/2 + 4*m**5 + 25*m**4/3 - 80*m**3 + 160*m**2 + 31*m. Suppose v(k) = 0. Calculate k.
-4, 1, 2
Let z(p) = p**3 + 7*p**2 + 6*p + 6. Let u be z(-6). Let q(w) = -w**2 + 7*w - 4. Let l be q(u). Determine c, given that 4*c**4 + 2 + 4*c**5 - l - 18*c**5 = 0.
0, 2/7
Suppose 0 = 4*q - 2*r - 38, -30 = -5*q - 5*r + 10. Let n = -6 + q. Factor -1 - 2*h + 1 - n*h**2 + 5*h**2.
2*h*(h - 1)
Let w(z) be the first derivative of -3 - 1/8*z**4 - 1/6*z**3 + 0*z + 0*z**2. Determine m, given that w(m) = 0.
-1, 0
Factor 3 - 7/2*v + 1/2*v**2.
(v - 6)*(v - 1)/2
Let w(q) be the third derivative of 0 - 2/3*q**3 - q**2 + 1/12*q**4 + 0*q + 1/30*q**5. Factor w(u).
2*(u - 1)*(u + 2)
Let y(m) be the second derivative of -m**6/60 + 5*m**2/2 - 6*m. Let k(p) be the first derivative of y(p). Determine c so that k(c) = 0.
0
Let 