-1/3, 1/4, 1
Suppose -6 = 5*j - 1, 1 = -5*m - j. Let v(b) be the first derivative of 0*b - b**3 + 3/5*b**5 + m*b**2 + 0*b**4 + 3. Determine a, given that v(a) = 0.
-1, 0, 1
Suppose -3*y + 3*y - 11*y = 0. Factor 4/9*a + y + 2/9*a**2 - 2/9*a**3.
-2*a*(a - 2)*(a + 1)/9
Let -1/6*m**4 + 2/3*m**3 + 0 - 2/3*m + 1/6*m**2 = 0. What is m?
-1, 0, 1, 4
Let x(h) be the third derivative of 3/64*h**4 + 0 + 0*h + 1/320*h**6 - 1/16*h**3 + 2*h**2 - 3/160*h**5. Suppose x(s) = 0. What is s?
1
Suppose 0 = 11*q - 4*q + 7. Let c be q/(5/(-10) - 0). Determine g, given that 8/3*g**2 - 2/3 - c*g = 0.
-1/4, 1
Let g = 56 - 60. Let j be (g - 0)*(3 + (-220)/72). Find c such that -4/9*c - j*c**2 + 0 = 0.
-2, 0
Factor -3*u**2 + 3/2*u**4 + 0 - 3*u - 3/4*u**5 + 9/4*u**3.
-3*u*(u - 2)**2*(u + 1)**2/4
Let b be ((-6)/(-21))/(6 + 180/(-42)). Let s(w) be the second derivative of 1/9*w**3 - 1/36*w**4 + 0 - b*w**2 + 5*w. Let s(n) = 0. What is n?
1
Let q(z) be the first derivative of -17 + 0*z - 2/15*z**5 + 0*z**2 - 1/6*z**4 + 1/9*z**6 + 2/9*z**3. Factor q(h).
2*h**2*(h - 1)**2*(h + 1)/3
Let -9*c + 0*c + 6*c**2 - 15 + 9 + 9*c**3 = 0. What is c?
-1, -2/3, 1
Let o(w) = w**3 + 9*w**2 + 15*w. Let k be o(-6). Let t be (-3 + 2 - 3) + 75/k. Factor 1/3*n - t*n**2 - 1/6.
-(n - 1)**2/6
Let a(x) be the third derivative of -x**6/72 - x**5/24 + 5*x**4/12 - 11*x**3/6 - 17*x**2. Let u(f) be the first derivative of a(f). Factor u(w).
-5*(w - 1)*(w + 2)
Let s(u) = -u**3 - 22*u**2 + 49*u + 24. Let a be s(-24). Let k(y) be the second derivative of -1/10*y**2 + a + 2*y - 1/60*y**4 - 1/15*y**3. Factor k(h).
-(h + 1)**2/5
Let y(c) = -c**3 + 6*c**2 - 16*c + 163. Let f be y(7). Let 1/3*z**f - 2/3 - 1/3*z = 0. What is z?
-1, 2
Let s = -18 + 24. Suppose -a + s = -3. Find t such that -4*t**5 + 40*t**3 - 27*t**4 + 2*t**4 + a*t**5 + 2*t**2 - 22*t**2 = 0.
0, 1, 2
Let y(v) be the second derivative of -v**5/10 + 13*v**4/2 - 105*v**3 - 1323*v**2 + v - 385. Factor y(m).
-2*(m - 21)**2*(m + 3)
Let d(i) be the third derivative of i**6/420 - 57*i**5/35 + 3249*i**4/7 - 493848*i**3/7 + i**2 - 143. Find z, given that d(z) = 0.
114
Factor 2 - 1/6*p**3 + 23/6*p + 5/3*p**2.
-(p - 12)*(p + 1)**2/6
Suppose 0 = -8*h + 3*h - 120. Let t = h + 27. Factor -1/4*v + 0*v**2 + 0 + 1/4*v**t.
v*(v - 1)*(v + 1)/4
Find m such that -58*m**2 + 29 + 85*m**2 + 49 + 357*m = 0.
-13, -2/9
Factor -49/2*u + 17 - 3/2*u**2.
-(u + 17)*(3*u - 2)/2
Let s be 3 - (1474/462 - (-8)/(-6)). Let d(c) be the first derivative of 2/21*c**3 - s*c + 5 + 0*c**2. Factor d(f).
2*(f - 2)*(f + 2)/7
Let -2/3*d**3 + 8/3*d**2 - 2/3*d - 4 = 0. What is d?
-1, 2, 3
Let a(i) = 9*i**4 + 12*i**3 - 5*i**2 - 16*i. Let w = 31 - 39. Let q(p) = 14*p**4 + 18*p**3 - 8*p**2 - 24*p. Let f(u) = w*a(u) + 5*q(u). Solve f(n) = 0 for n.
-2, 0, 1
Factor 127*p + 23*p - 3*p**2 - 2*p**2.
-5*p*(p - 30)
Let o(v) be the second derivative of -1/24*v**4 + 15*v + 1/3*v**3 - v**2 + 0. Determine z, given that o(z) = 0.
2
Suppose -3*a - 4*h + 19 = -2, 0 = -4*a - 2*h + 28. Let f be 16/(-56)*(0 - a/12). Suppose -f + 1/6*v**2 + 0*v = 0. Calculate v.
-1, 1
Let v(k) = -2*k**3 + 3*k**2 - 12*k + 14. Let z be v(1). Find h, given that 2/7*h**z + 0*h + 0 - 4/7*h**2 = 0.
0, 2
Let n(v) = -2*v + 48. Let w be n(21). Let q(b) be the second derivative of 0*b**3 + 0*b**2 + 0 - 5*b + 1/2*b**4 + 7/5*b**w + 33/20*b**5. Factor q(y).
3*y**2*(2*y + 1)*(7*y + 2)
Suppose 4*a = s - 4*s - 15, -5*s - 25 = a. Let t(d) = d**2 + 18. Let c be t(a). Solve 18 + 9*g**2 - 3*g**3 - c - 6*g = 0.
0, 1, 2
Let q be (-16)/(-10)*(-15)/(-6). Suppose -2*y = -q*d + 2*d - 2, 0 = -4*d - 4*y + 28. Determine a, given that 4*a**d - 2*a**3 + 8*a**2 + 9*a**2 - 15*a**2 = 0.
-1, 0
Let o = 179182/15 - 11940. Let z = o + -14/5. Factor -2/3*s**2 - z*s - 8/3.
-2*(s + 2)**2/3
Let i(p) be the second derivative of p**7/14 - 19*p**6/10 + 297*p**5/20 - 81*p**4/4 - 90*p. Factor i(r).
3*r**2*(r - 9)**2*(r - 1)
Let k(h) = 2*h**2 + 9*h + 7. Let x be k(-6). Let t be (-1)/6 - x/(-6). Factor 17 - 12 - 2*m**3 - m**4 - t + 2*m.
-(m - 1)*(m + 1)**3
Let f(q) be the first derivative of q**6/105 - q**5/70 - q**4/21 + 12*q + 19. Let n(w) be the first derivative of f(w). Factor n(i).
2*i**2*(i - 2)*(i + 1)/7
Let a(n) be the second derivative of -n**5/220 - 47*n**4/44 - 93*n**3/22 - 139*n**2/22 - 639*n. Factor a(d).
-(d + 1)**2*(d + 139)/11
Solve -803*u**2 - 1/2*u**4 - 24025/2 + 36*u**3 + 5580*u = 0.
5, 31
Let w(h) = -2*h - 6. Let t be w(-5). Let p be (-2)/(-3*3/9). Factor -32*d**2 - 12*d**4 + 7*d**5 - p*d**5 + 28*d**3 - 3*d**5 - t + 18*d.
2*(d - 2)*(d - 1)**4
Let t(n) be the third derivative of -n**6/80 + 3*n**5/32 - n**4/8 - 3*n**3/16 + 9*n**2 - 3*n. Factor t(p).
-3*(p - 3)*(p - 1)*(4*p + 1)/8
Let r be 9/2 - (-4)/((-8)/(-1)). Let h(d) = d**4 - d**2 - 1. Let a(m) = m**4 - 8*m**3 - 9*m**2 - 5. Let k(s) = r*h(s) - a(s). Factor k(j).
4*j**2*(j + 1)**2
Let s(h) be the first derivative of h**4/18 - 2*h**3/9 + h**2/3 - 2*h/9 - 11. Determine p, given that s(p) = 0.
1
Let h(w) be the third derivative of -15/112*w**8 - 6*w**2 + 10/3*w**3 - 5/6*w**4 + 0*w - 71/24*w**6 + 0 - 43/42*w**7 - 15/4*w**5. Solve h(q) = 0 for q.
-2, -1, 2/9
Suppose -4*z = -2*v - 12, -z - 4*z = 3*v - 37. Suppose -2*k + z*k = -5*k. Solve 2/5*l**4 + 0 + k*l + 0*l**2 + 2/5*l**3 = 0.
-1, 0
Let t(r) = r**4 - r**3 + 2*r + 1. Let f(y) = -2*y**4 + 11*y**3 + 22*y**2 + 18*y + 6. Let d(i) = 4*f(i) + 12*t(i). Solve d(q) = 0 for q.
-3, -1
Solve -1/2*h**5 - 33*h**3 + 48 + 28*h - 34*h**2 - 17/2*h**4 = 0 for h.
-12, -2, 1
Let j(y) be the first derivative of y**6/90 + 4*y**5/15 - 3*y**4/2 + 11*y**3/3 - 27. Let t(h) be the third derivative of j(h). Determine r, given that t(r) = 0.
-9, 1
Let v(a) be the third derivative of a**5/30 + 5*a**4/12 - 8*a**3 + 265*a**2. Factor v(m).
2*(m - 3)*(m + 8)
Let a = -2 - -2. Suppose c + 128 = -5*f + 111, 11 = c - 2*f. Factor -1/2*r + a - 1/2*r**c - r**2.
-r*(r + 1)**2/2
Factor -54*f - 1/2*f**3 + 9*f**2 + 108.
-(f - 6)**3/2
Let f(z) = 4*z**2 - z - 3. Let t(i) = -3*i**2 + 2*i + 3. Let k(s) = 4*f(s) + 6*t(s). Let a(h) = h**2 - 9*h - 7. Let w(l) = 4*a(l) + 3*k(l). Factor w(u).
-2*(u + 1)*(u + 5)
Let o be -47*(-18)/(-108) + 24/3. Factor 0*s + 1/6*s**4 + 1/6*s**3 - o*s**2 - 1/6*s**5 + 0.
-s**2*(s - 1)**2*(s + 1)/6
Let b be 10/(-165)*(-495)/90. Factor 1/3*s**4 + 0 + 2/3*s - b*s**2 - 2/3*s**3.
s*(s - 2)*(s - 1)*(s + 1)/3
Let l(k) = -201*k - 1003. Let s be l(-5). Suppose 386/9*p**s - 208/9*p**3 - 52/3*p + 2 + 32/9*p**4 = 0. What is p?
1/4, 3
Let f(s) = -4*s**3 + s**2 + 11*s + 9. Let i(n) = 5*n**2 + 3*n + 5. Let m(z) = 4*z**2 + 2*z + 4. Let o(y) = 3*i(y) - 4*m(y). Let j(x) = f(x) + o(x). Factor j(l).
-4*(l - 2)*(l + 1)**2
Let t(y) = 2*y**2 - 168*y + 1353. Let f be t(9). Factor 0*g**2 - 6/13*g + 2/13*g**f + 4/13.
2*(g - 1)**2*(g + 2)/13
Let h(l) = l**3 + 3*l**2 + l - 1. Let i be h(1). Factor 0 - 2/11*r**i - 2/11*r**2 - 4/11*r**3 + 0*r.
-2*r**2*(r + 1)**2/11
Let q = -12317 - -12335. Solve 2/3*o**3 + 162*o - 486 - q*o**2 = 0.
9
Let p(w) be the third derivative of 11*w**2 + 0*w + 0*w**5 + 5/3*w**3 + 1/24*w**6 + 0 - 5/8*w**4. Find v such that p(v) = 0.
-2, 1
Let u = 8961 - 98569/11. Determine h, given that 4/11*h + 2/11 - u*h**4 - 4/11*h**3 + 0*h**2 = 0.
-1, 1
Let s(o) be the second derivative of -7/6*o**3 + 9*o + 0*o**4 - 1/80*o**6 + 1/120*o**5 + 0*o**2 + 0. Let q(t) be the second derivative of s(t). Solve q(z) = 0.
0, 2/9
Let c(q) be the first derivative of q**6/30 - 47*q**5/25 - 49*q**4/10 - 2*q**3/15 + 97*q**2/10 + 49*q/5 + 495. Determine s so that c(s) = 0.
-1, 1, 49
Let u(h) be the first derivative of -h**6/16 + 39*h**4/32 + 3*h**3/2 - 363. Determine g so that u(g) = 0.
-3, -1, 0, 4
Let k(q) be the first derivative of 8/11*q**2 + 14/5*q**5 + 3*q**4 + 0*q - 104/33*q**3 - 49/33*q**6 + 4. What is u in k(u) = 0?
-1, 0, 2/7, 2
Let v = -1336 - -1336. Determine i, given that 1/4*i**5 + 0 + 0*i + 1/4*i**3 - 1/2*i**4 + v*i**2 = 0.
0, 1
Let s(w) be the first derivative of -1/6*w**3 - 1/48*w**4 + 2 + 1/120*w**5 - 1/2*w**2 + 0*w. Let i(x) be the second derivative of s(x). Factor i(v).
(v - 2)*(v + 1)/2
Let i(n) be the second derivative of n**7/84 - n**6/30 - 3*n**5/40 + n**4/6 + n**3/3 + 103*n + 2. Factor i(g).
g*(g - 2)**2*(g + 1)**2/2
Let n be -3 + 1 + (-10)/(-4). Let j be 11/18 + 2/(-18). Factor -3/2*y**2 + j*y + 1/2