x).
3*x*(2*x + 1)/4
Let w be (114/855)/(-3*2/(-120)). Solve -w*x**2 + 2/3*x**3 - 4/3 + 10/3*x = 0.
1, 2
Let g(m) be the second derivative of -m**4/12 - m**3/3 - m**2/2 + 3*m - 4. What is y in g(y) = 0?
-1
Let p be (1520/(-210) - -7) + (-8)/(-14). Factor 0*g + p - 1/3*g**2.
-(g - 1)*(g + 1)/3
Let u(o) = -3*o**2 + 19*o - 8. Let l(a) = 5*a**2 - 39*a + 17. Let z(v) = -2*l(v) - 5*u(v). Factor z(c).
(c - 3)*(5*c - 2)
Factor 11/3*o - 4*o**2 + 2 - 5/3*o**3.
-(o - 1)*(o + 3)*(5*o + 2)/3
Suppose 0 = 2*g + 3*g - 50. Let 7*j**3 + 132*j + 14 + 5*j**3 - 76*j**2 - g - 40 = 0. Calculate j.
1/3, 3
Suppose 0*z + 4*z = 24. Let s be (-1 - (2 - 1)) + 6. Factor 3*h**3 - 5*h**s - 4*h**3 + z*h**4 - 2*h**2.
h**2*(h - 2)*(h + 1)
Let p(q) = 5*q**2 + 3*q + 5. Let g(l) = -l**2 - l - 1. Let v(i) = -14*g(i) - 2*p(i). Determine c, given that v(c) = 0.
-1
Suppose 0 = 3*g - 0*g - 3*v, -4*v + 7 = 3*g. Suppose 6 + 3*p**2 + 1 - 7*p - 2*p - g = 0. Calculate p.
1, 2
Let o be 5/(-10)*(1 + -2). Let w(c) be the first derivative of -1/2*c**3 - o*c + 3/4*c**2 + 1/8*c**4 + 1. Factor w(a).
(a - 1)**3/2
Suppose -4*v = s - 17, 3*v = 2*s + 3*s - 16. Solve 3*q**3 + 7*q**2 - v*q - 7*q**2 = 0 for q.
-1, 0, 1
Let g be 2/7*(-4)/(220/(-35)). Suppose 0 - 2/11*f + g*f**3 + 0*f**2 = 0. Calculate f.
-1, 0, 1
Let i(w) = w**2 - 6*w + 3. Let p be i(6). What is v in 0 + 0*v + 6/5*v**p - 3/5*v**2 - 3/5*v**4 = 0?
0, 1
Let p = 6 + -5. Suppose 4*b - 25 = -p. Find d, given that -b*d**4 + 20*d**3 - 8*d**2 + 0*d**2 - 9*d - 7*d + 0*d**2 = 0.
-2/3, 0, 2
Solve -1/5*y**3 + 0*y + 0 - 2/5*y**2 = 0 for y.
-2, 0
Let a(p) = -p**2 - 10*p + 13. Let h(k) = k - 1. Let i(u) = 2*a(u) + 22*h(u). Determine b so that i(b) = 0.
-1, 2
Let q be (-12)/(-54) - (-11)/(-9). Let p = q - -1. Factor -4/3*v - 4/3*v**2 - 1/3*v**3 + p.
-v*(v + 2)**2/3
Let m be (-3)/(-5) - 120/(-50). Let h(t) be the first derivative of -1/8*t**4 - t - 2/3*t**m - 5/4*t**2 + 3. What is q in h(q) = 0?
-2, -1
Solve 3/2*y - 15/4*y**2 + 3/2*y**4 + 3 - 3/8*y**3 - 3/8*y**5 = 0.
-1, 2
Let k(q) be the first derivative of -5*q**4/12 + 5*q**3/9 + 5*q**2/6 - 5*q/3 - 28. Factor k(m).
-5*(m - 1)**2*(m + 1)/3
Let v(x) = 14*x**4 - 15*x**3 + 21*x**2 + x + 3. Let j(y) = 29*y**4 - 29*y**3 + 43*y**2 + 2*y + 7. Let s(l) = 6*j(l) - 13*v(l). Factor s(d).
-(d - 1)**3*(8*d + 3)
Let z(w) be the second derivative of w**6/30 - w**5/20 - w**4/6 + 5*w. Factor z(j).
j**2*(j - 2)*(j + 1)
Let j be (-36)/28 + 4/14. Let g be j/(1 - (-9)/(-6)). Let -128*w**5 - 120*w**3 - 145*w**4 - 26*w**2 - 4*w + g*w - 79*w**4 = 0. What is w?
-1, -1/4, 0
Let x(q) be the first derivative of -q**7/630 + q**6/180 - q**4/36 + q**3/18 - q**2/2 + 3. Let n(v) be the second derivative of x(v). Let n(g) = 0. What is g?
-1, 1
Suppose 0 = 6*r - 3*r. Suppose 5*w = -r*w. Factor w*o - 2/9*o**2 - 2/9*o**3 + 2/9*o**5 + 2/9*o**4 + 0.
2*o**2*(o - 1)*(o + 1)**2/9
Factor 0 + 3/7*h + 3/7*h**2.
3*h*(h + 1)/7
Let a(v) be the second derivative of -2*v + 2/3*v**2 + 0 + 22/9*v**3 + 121/36*v**4. Factor a(b).
(11*b + 2)**2/3
Let f(u) be the first derivative of -7*u**4/16 - 5*u**3/12 + u**2/4 + 8. Factor f(j).
-j*(j + 1)*(7*j - 2)/4
Let g(c) be the third derivative of -4*c**7/1785 - 4*c**6/255 - 7*c**5/170 - 3*c**4/68 - 16*c**2. Factor g(l).
-2*l*(l + 1)*(2*l + 3)**2/17
Suppose 44*r - 4*r**2 - 155 + 291 - 176 = 0. Calculate r.
1, 10
Let s(v) be the second derivative of -v**7/5040 - v**6/480 - v**5/120 - v**4/12 + 5*v. Let r(z) be the third derivative of s(z). Factor r(g).
-(g + 1)*(g + 2)/2
Suppose -3*m + 12 = 0, 4*b + 7*m - 12 = 6*m. Let a(c) be the second derivative of 0 + 0*c**4 + 1/10*c**5 - 1/3*c**3 + 0*c**b + 2*c. Suppose a(k) = 0. What is k?
-1, 0, 1
Determine o, given that 10/7 + 2/7*o**2 + 12/7*o = 0.
-5, -1
Let f(p) = 115*p**3 - 144*p**2 + 48*p. Let g(d) = 38*d**3 - 48*d**2 + 16*d. Let i(s) = 2*f(s) - 7*g(s). Find q, given that i(q) = 0.
0, 2/3
Let z(a) be the second derivative of a**6/660 - a**5/330 - 5*a**2/2 + 11*a. Let i(l) be the first derivative of z(l). What is x in i(x) = 0?
0, 1
Suppose -273*t + 270*t + 6 = 0. Factor -2/5 + 0*r**t + 1/5*r**3 - 3/5*r.
(r - 2)*(r + 1)**2/5
Let 0*o - 1/3 + 0*o**3 - 1/3*o**4 + 2/3*o**2 = 0. Calculate o.
-1, 1
Let k be 0/(-3) + 6/2. Factor -2/7*m**4 + 2/7*m**2 - 2/7*m + 0 + 2/7*m**k.
-2*m*(m - 1)**2*(m + 1)/7
Let d(s) = -12*s + 7 + s**2 + 5 + 1. Let h be d(11). Suppose -4/3*w**4 + 0 - 2/3*w**5 + 2/3*w + 0*w**3 + 4/3*w**h = 0. What is w?
-1, 0, 1
Suppose 86 - 30 = 14*u. Factor 0 + 0*z**u - 1/2*z**2 - 1/4*z**5 + 3/4*z**3 + 0*z.
-z**2*(z - 1)**2*(z + 2)/4
Let u(n) be the first derivative of -6*n**5/5 - 47*n**4/2 - 116*n**3 + 96*n**2 + 256*n + 29. What is w in u(w) = 0?
-8, -2/3, 1
Suppose 2*c - 3*j - 12 = 0, 5*c + 0 = 2*j + 8. Factor c + 0*f - 1/3*f**2 - f**4 + f**3 + 1/3*f**5.
f**2*(f - 1)**3/3
Let c = 382/105 + -25/7. Let v(o) be the second derivative of -2*o - 1/2*o**4 + 3/10*o**5 - c*o**6 + 0*o**2 + 1/3*o**3 + 0. Solve v(r) = 0.
0, 1
Let v(p) be the first derivative of p**8/672 + p**7/105 + p**6/40 + p**5/30 + p**4/48 - p**2 + 2. Let y(i) be the second derivative of v(i). Factor y(k).
k*(k + 1)**4/2
Let x(t) be the second derivative of -1/4*t**4 + 0*t**2 + 0*t**3 + 3/5*t**5 + 0 - t. Solve x(f) = 0.
0, 1/4
Factor 6*s**4 + 8 + 3*s**3 - 9*s - 6*s**2 - s**4 + 29*s - 16*s**3.
(s - 2)**2*(s + 1)*(5*s + 2)
Let t(m) be the third derivative of 0 - 7/300*m**5 - 3*m**2 + 0*m**3 + 1/60*m**4 + 0*m + 1/120*m**6. Let t(h) = 0. Calculate h.
0, 2/5, 1
Let 0 - 1/6*p**2 + 1/6*p**4 - 1/3*p**5 - 1/6*p + 1/2*p**3 = 0. Calculate p.
-1, -1/2, 0, 1
Let v(y) be the first derivative of 4*y**5/5 + 3*y**4 + 4*y**3 + 2*y**2 - 6. Factor v(d).
4*d*(d + 1)**3
Let m be (-1 - -2)*(12/(-8) - -2). Find z such that 1/4 + 1/4*z**4 + 0*z**3 + 0*z - m*z**2 = 0.
-1, 1
Let 12/7*i**2 + 0 + 4/7*i**4 - 36/7*i**3 + 12/7*i**5 + 8/7*i = 0. Calculate i.
-2, -1/3, 0, 1
Let k(l) = 3*l**2 + l - 1. Let v(r) = r - 3. Let i be v(4). Let h be k(i). Factor 2*d**2 - 1 + 3/2*d**h - 1/2*d.
(d + 1)**2*(3*d - 2)/2
Let r(d) = 2*d**2 - 4*d + 7. Let n(f) = -3*f**2 + 6*f - 10. Let h = -36 + 24. Let l = h - -19. Let g(o) = l*r(o) + 5*n(o). Factor g(x).
-(x - 1)**2
Let f be (1/(-21))/((-30)/7). Let d(z) be the third derivative of 0*z**3 + 0*z - z**2 - 1/360*z**6 - 1/72*z**4 + 0 - f*z**5. Factor d(a).
-a*(a + 1)**2/3
Let z(b) be the third derivative of b**10/105840 - b**8/11760 + b**6/2520 + b**4/8 - 2*b**2. Let u(f) be the second derivative of z(f). Factor u(w).
2*w*(w - 1)**2*(w + 1)**2/7
Suppose r - 2 = 2*r. Let g(d) = d**2 + 1. Let w(z) = z**2 - 3*z. Let a(u) = 5*u**2 - u - 2. Let k be a(-1). Let h(x) = k*g(x) + r*w(x). Solve h(n) = 0 for n.
-2, -1
Let h(b) = 25*b**2 + 85*b + 34. Let u(p) = 25*p**2 + 85*p + 33. Let f(m) = 3*h(m) - 4*u(m). Solve f(v) = 0.
-3, -2/5
Let y(s) be the first derivative of -s**8/672 - s**7/105 - s**6/40 - s**5/30 - s**4/48 - 5*s**2/2 - 1. Let v(q) be the second derivative of y(q). Factor v(z).
-z*(z + 1)**4/2
Let o(v) be the third derivative of v**7/525 - v**6/60 + 3*v**5/50 - 7*v**4/60 + 2*v**3/15 - 7*v**2. Determine x so that o(x) = 0.
1, 2
Let f(q) = -q - 2. Let z be f(-4). Factor -1 - 21 + 8 - z + 4*g**2.
4*(g - 2)*(g + 2)
Let b be (-2)/(-12) + (-2 - (-10)/4). Factor b*p + 1/3 + 1/3*p**2.
(p + 1)**2/3
Let s(i) be the first derivative of 2*i**5/45 - 2*i**4/9 + 10*i**3/27 - 2*i**2/9 - 54. What is o in s(o) = 0?
0, 1, 2
Let n(l) be the third derivative of 0*l - 2*l**2 + 1/24*l**4 + 0 + 0*l**3 - 1/60*l**5. Suppose n(o) = 0. What is o?
0, 1
Suppose p + 8 = 2*f - 2*p, -4*p + 12 = 3*f. Factor -2*k**3 - 4 + f + 2*k**2.
-2*k**2*(k - 1)
Let 16 - 2*x**2 + 6*x**2 - x + 17*x = 0. Calculate x.
-2
Let g(p) be the second derivative of -p**5/20 - 17*p**4/54 + 53*p**3/54 - 5*p**2/9 - 25*p - 1. Factor g(d).
-(d - 1)*(d + 5)*(9*d - 2)/9
What is p in 108*p**4 + 0 + 6*p - 12*p**2 - 99/2*p**3 - 81/2*p**5 = 0?
-1/3, 0, 1/3, 2/3, 2
Let k(w) be the second derivative of w**4/3 - 2*w**3/3 - 4*w**2 - 50*w. Suppose k(m) = 0. What is m?
-1, 2
Let q be (1/3)/(18/27). Let n(r) be the first derivative of 1 + 1/2*r + 1/8*r**4 + q*r**3 + 3/4*r**2. What is b in n(b) = 0?
-1
Solve -2*p**5 + 5*p + 0*p**3 + 2*p**3 + 2*p**3 - 7*p = 0.
-1, 0, 1
Let j(m) = -3*m**2 + 1. Let s(b) = b**2 + b - 1. Suppose 4*g = 3 - 11. Let d(u) = g*s(u) - j(u). Factor d(v).
(v - 1)**2
