 - 2/5*g**2 - 24/5*g = 0.
-6
Determine z, given that 4896*z**4 + 3722*z**3 + 64*z + 2796*z**3 + 1156*z**5 + 1152*z**2 - 790*z**3 = 0.
-2, -2/17, 0
Solve 3/2*o**2 + 0*o + 0 = 0.
0
Let n(f) = -18*f + 288. Let d be n(16). Let w be -2*1 + (0 - -2). Determine u so that 2/3*u**2 + d + w*u**3 - 1/3*u - 2/3*u**4 + 1/3*u**5 = 0.
-1, 0, 1
Let v be 0 + -3*(2 - 3)/1. Determine c so that 65*c**2 + 10*c**4 + 20*c**v + 19*c + 6*c**4 - 31*c**4 + 11*c = 0.
-1, -2/3, 0, 3
Determine i so that -1/2*i**3 - 41/2*i + 6*i**2 + 21 = 0.
2, 3, 7
Let u(q) be the second derivative of 0 - 1/78*q**4 + q + 3/13*q**2 + 2/39*q**3. Let u(m) = 0. What is m?
-1, 3
Let n = 4309 - 4307. Suppose -2/3 + 4/3*c + 0*c**n - 4/3*c**3 + 2/3*c**4 = 0. What is c?
-1, 1
Let p(b) be the third derivative of -b**7/35 + 19*b**6/60 + 58*b**5/15 - 13*b**4/3 - 80*b**3/3 - 272*b**2. Suppose p(z) = 0. Calculate z.
-4, -2/3, 1, 10
Let b be 3/(-1) - (15 + -20). Factor 27*k + 16*k**2 - k**3 + 11*k**2 + 6 + 16*k**3 + 9*k**b.
3*(k + 1)**2*(5*k + 2)
Suppose 5*l - 11 = 9. Suppose 0 = 2*v - 3*t - 6, 2*t + l = 5*v - 9*v. Let 0 + 1/2*w**3 - 1/4*w**2 + v*w - 1/4*w**4 = 0. What is w?
0, 1
Factor 192*f - 639*f - 144*f - 681*f - f**2 - 101124 - 3*f**2.
-4*(f + 159)**2
Factor -2/7*s**3 - 40/7 + 24/7*s + 18/7*s**2.
-2*(s - 10)*(s - 1)*(s + 2)/7
Suppose -3*w = 3*l + 3, l - 3*w - 9 = 6. Find m such that -214*m**3 + 303*m**4 + 12*m**2 - 12 + 21*m**2 - 105*m**5 + 48*m - 53*m**l = 0.
-2/5, 2/7, 1
Let q be 66/(-44)*16/(-6). Suppose -51*r - q = -53*r. Factor -7/4*a - 5/4*a**4 + 1/2*a**r + 3/4 + 1/4*a**5 + 3/2*a**3.
(a - 3)*(a - 1)**3*(a + 1)/4
Find u such that -14/3*u**2 - 6 + 34/3*u - 2/3*u**3 = 0.
-9, 1
Let n = -7/8 - -109/120. Let w(r) be the third derivative of -1/4*r**4 + n*r**6 + 0*r + 0 + r**2 + 2/3*r**3 - 1/10*r**5. Find g, given that w(g) = 0.
-1, 1/2, 2
Let w(m) be the first derivative of -2*m**5/55 + 2*m**3/3 + 18*m**2/11 + 16*m/11 + 452. Determine s, given that w(s) = 0.
-2, -1, 4
Let m(n) be the second derivative of -11*n**3/3 - 66*n**2 - 29*n. Let s be m(-6). Factor -1/2*q**2 + s*q + 1/2.
-(q - 1)*(q + 1)/2
Suppose 3*p + 0*p - 18 = 3*x, -2*p - 4*x = -42. Let g be (-1 + 4 - p)/(-2). Solve g*v**3 - 10*v**2 + 5*v**2 + v**2 = 0 for v.
0, 1
Factor -252/5*q - 183/5*q**2 - 42/5*q**3 - 3/5*q**4 - 108/5.
-3*(q + 1)**2*(q + 6)**2/5
Let f = 73 + -77. Let z(w) = w**2 - 1. Let u(a) = -2*a**2 + 1 - 3*a**2 + 4*a**2. Let i(h) = f*z(h) - 5*u(h). Factor i(y).
(y - 1)*(y + 1)
Let d(s) be the first derivative of 3*s**4/28 + 4*s**3/7 + 6*s**2/7 - 54. Factor d(h).
3*h*(h + 2)**2/7
Let z(b) = 9*b**4 - 79*b**3 + 66*b**2 + 4. Let u(j) = -j**4 + j**3 + j**2 - 1. Let c(s) = 4*u(s) + z(s). Factor c(d).
5*d**2*(d - 14)*(d - 1)
Let w(h) be the third derivative of -7*h**6/90 + 2*h**5/5 + 2*h**4/3 - 10*h**3/3 - 25*h**2. Let y(s) be the first derivative of w(s). Factor y(i).
-4*(i - 2)*(7*i + 2)
What is i in -9*i + 15*i - 2*i**2 + 0*i**2 - i**2 = 0?
0, 2
Let h(n) be the third derivative of 0*n + 4/27*n**3 - 1/27*n**4 + 0 - 1/270*n**5 - 17*n**2 + 1/540*n**6. Factor h(r).
2*(r - 2)*(r - 1)*(r + 2)/9
Let x(a) be the third derivative of -a**5/20 + 3*a**4/4 - 5*a**3/2 + 134*a**2. Factor x(p).
-3*(p - 5)*(p - 1)
Let m be (-6)/(-1 + 2/(-4)). Suppose 0*i = m*i - 48. Find h such that 0 + 0*h**3 + 3*h**3 - i*h**2 + 15*h - 6 = 0.
1, 2
Let x(q) be the second derivative of q**7/28 + 2*q**6/5 - 3*q**5/20 - 2*q**4 + q**3/4 + 6*q**2 + 2*q + 3. Determine z, given that x(z) = 0.
-8, -1, 1
Let k(s) be the first derivative of -14 - 8/15*s**3 + 2/5*s**2 + 0*s + 1/5*s**4. Let k(a) = 0. Calculate a.
0, 1
Suppose -7*r + 30 = -2*r. Suppose r = 2*l - 6. Factor 3*d**5 + d**3 + 11*d + 12*d**2 - 10*d**3 - l*d**4 + d.
3*d*(d - 2)**2*(d + 1)**2
Let s(q) be the second derivative of 0*q**2 + 0 + 2*q + 1/24*q**4 + 1/40*q**5 - 1/12*q**3 - 1/60*q**6. Factor s(p).
-p*(p - 1)**2*(p + 1)/2
Let p be (2/8)/(1/2). Let j be (-200)/140 - (-27)/14. Factor 0 + 1/2*y**4 - j*y**2 + 1/2*y**3 - p*y.
y*(y - 1)*(y + 1)**2/2
Let p(i) be the second derivative of i**5/10 + 3*i**4/11 - 41*i**3/33 + 12*i**2/11 - 69*i. What is l in p(l) = 0?
-3, 4/11, 1
Let h = 71/90 - 7/9. Let t(n) be the second derivative of 1/15*n**5 + n + h*n**6 + 0*n**2 + 1/9*n**4 + 0*n**3 + 0. Factor t(g).
g**2*(g + 2)**2/3
Suppose -h + 6 - 2 = 0. Find s such that 0*s**3 + 4*s + 0*s**3 + 2*s**3 - 24*s**5 - 10*s**2 + 18*s**5 + 10*s**h = 0.
-1, 0, 2/3, 1
Let c(f) be the first derivative of -2*f**3/39 + 11*f**2/13 - 56*f/13 + 63. Find y such that c(y) = 0.
4, 7
Let j(n) = 1648 + n**2 - 1648. Let b(k) be the second derivative of -k**4/3 + 7*k**3/6 + 3*k**2/2 - k. Let l(f) = b(f) + 6*j(f). Factor l(g).
(g + 3)*(2*g + 1)
Let a = 653 - 653. Let i(z) be the first derivative of -1/3*z**3 + a*z - 1/4*z**4 - 2 + z**2. Factor i(k).
-k*(k - 1)*(k + 2)
Let l(h) = -12*h**3 - 184*h**2 + 2500*h - 32. Let w(b) = -b**3 + b**2 - 2. Let t(x) = -l(x) + 16*w(x). What is p in t(p) = 0?
0, 25
Suppose -2*d = 4*z - 8, -2*z + 4 - 2 = 0. Factor f + 36 - 7*f**d - 4*f + 4*f**2.
-3*(f - 3)*(f + 4)
Let k(f) be the first derivative of 4*f**5 - 4*f + 16 - 6*f**4 + 12*f**2 - 16/3*f**3. Factor k(w).
4*(w - 1)**2*(w + 1)*(5*w - 1)
Let z(h) be the second derivative of -h**7/252 - 13*h**6/45 - 153*h**5/20 - 1445*h**4/18 - 4913*h**3/36 - 4*h + 4. Solve z(j) = 0.
-17, -1, 0
Let d = -10 - -4. Let j = d - -9. Factor -3*t**3 - j*t**3 + 3*t**3 + 3*t**2.
-3*t**2*(t - 1)
Let h(i) be the first derivative of 2/21*i**3 - 2/35*i**5 + 9 + 1/7*i**2 - 1/14*i**4 + 0*i. Factor h(g).
-2*g*(g - 1)*(g + 1)**2/7
Let f(b) be the second derivative of -b**7/14 + b**6/10 + 9*b**5/20 - 5*b**4/4 + b**3 - 3*b - 3. Factor f(s).
-3*s*(s - 1)**3*(s + 2)
Let x = 254/3 - 5077/60. Let h(v) be the second derivative of 0*v**2 - 1/24*v**4 - v + 0*v**3 + 0 + x*v**5 + 1/20*v**6. Determine t, given that h(t) = 0.
-1, 0, 1/3
Let q(y) = 9*y**3 + 277*y**2 - 541*y + 280. Let h(i) = 10*i**3 + 278*i**2 - 538*i + 280. Let s(p) = 5*h(p) - 6*q(p). Solve s(b) = 0.
-70, 1
Let r be ((-48)/(-21))/4*14. Factor -20*x**4 - 13*x**3 + r*x**3 + 17*x**3 + 8*x**2.
-4*x**2*(x - 1)*(5*x + 2)
Suppose p - 7 = -5*u, 0*p + 2*u = 3*p - 4. Suppose 2*v**4 - v**p + 10*v**3 + 3*v**2 + 12*v**4 + 6*v**5 = 0. What is v?
-1, -1/3, 0
Let o(v) = -v**3 + 4*v**2 + v - 7. Let q be o(3). Let k be (2 + 3/(-3))/(q/1). Suppose -k*c**4 + 3/5*c**3 + 0 + 1/5*c - 3/5*c**2 = 0. What is c?
0, 1
Let l = -501 - -505. Let u(a) be the second derivative of -l*a + 1/11*a**3 + 1/66*a**4 + 0 + 2/11*a**2. Factor u(h).
2*(h + 1)*(h + 2)/11
Solve -9*g - 5*g + 12*g - 4*g**2 + 3*g**2 = 0 for g.
-2, 0
Let a be 123*18/6*3/(-9). Let p = a - -371/3. Factor 2/3 + p*f**2 - 4/3*f.
2*(f - 1)**2/3
Let p(b) = -b**2 - 14*b. Let f = 38 - 52. Let r be p(f). Factor 2*y**3 + r*y + 4/5*y**2 + 2/5*y**5 + 8/5*y**4 + 0.
2*y**2*(y + 1)**2*(y + 2)/5
Let f(l) be the second derivative of -27*l + 0*l**2 + 0 - 1/90*l**5 - 1/9*l**3 + 2/27*l**4. Factor f(h).
-2*h*(h - 3)*(h - 1)/9
Let n(o) be the first derivative of -o**5/5 - 3*o**4/4 + o**3 + 11*o**2/2 + 6*o - 15. What is i in n(i) = 0?
-3, -1, 2
Factor -286/5*w - 46/5*w**2 - 2/5*w**3 - 242/5.
-2*(w + 1)*(w + 11)**2/5
Suppose 2*t + u - 2*u = -4, -4*t - 4 = -u. Suppose -4*p + b = -16, -7 = 3*p + 4*b - t*b. Determine w so that -2*w**2 - 1/4*w**4 + 0 + w + 5/4*w**p = 0.
0, 1, 2
Let x = 303 - 299. Let s(k) be the second derivative of 0*k**3 + 1/12*k**x + 0*k**2 + 2*k + 0. Factor s(c).
c**2
Determine v, given that 5/9*v**4 - 14/9*v**2 - 8/3 + 17/9*v**3 - 68/9*v = 0.
-3, -2, -2/5, 2
Let b(o) be the first derivative of -1/2*o**6 + 33 + 3/5*o**5 + 0*o**2 + 0*o**3 - 3/16*o**4 + 0*o. Factor b(r).
-3*r**3*(2*r - 1)**2/4
Suppose -5*h**2 + 11/2*h**4 - 6*h**3 + 6*h - 1/2 = 0. What is h?
-1, 1/11, 1
Let c(p) be the third derivative of p**6/270 + p**5/90 + 4*p**3/3 + 15*p**2. Let t(g) be the first derivative of c(g). Let t(x) = 0. Calculate x.
-1, 0
Let v = 2655 + -10617/4. Determine h so that 33/4*h + v*h**3 - 9/2 - 9/2*h**2 = 0.
1, 2, 3
Suppose -3123 = 6*n - 15*n. Let d = -347 + n. Let 0*p**2 + d*p**4 + 0*p + 4/7*p**5 + 0 - 4/7*p**3 = 0. What is p?
-1, 0, 1
Suppose 5 + 11 = 2*a. Solve 2*p**4 - 4*p + a*p**2 - 8*p**2 - 6*p**2 = 0 for p.
-1, 0, 2
Suppose 0 = -61*d + 55*d + 60. Let a be d/(-325)*(-1 - 14). Solve 2/13*y**2 - a*y**3 + 2/13*y**4 + 6/13*y - 4/