1 - -19/44. Let c(p) be the first derivative of t*p**3 + 3/8*p**2 + 1/16*p**4 - 7 + 1/4*p. Factor c(i).
(i + 1)**3/4
Suppose -y + 7 = -45. Factor -12*c**2 + 52 + 4*c - y + 9*c**3.
c*(3*c - 2)**2
Suppose -94*f + 101*f - 21 = 0. Let l(a) be the second derivative of 9/2*a**2 - 1/4*a**4 + 0 + 5*a + a**f. What is i in l(i) = 0?
-1, 3
Suppose -4*q + 9 - 1 = 0. Factor -3*w + 4*w**4 - 4 - 8*w**4 - 8*w**3 + 0*w**4 + 7*w + 8*w**q + 4*w**5.
4*(w - 1)**3*(w + 1)**2
Let v(u) = -5*u + 37. Let s be v(8). Let n be 20/8*2 + s. Solve 13/2*o**n + 1/2*o**4 - 6*o - 3*o**3 + 2 = 0.
1, 2
Let v(p) = -p + 6. Let w be v(6). Suppose 3*r + w*r - 5 = -4*a, 15 = r - 2*a. Factor 10*o**4 - r*o**4 - 6*o**2 + 8 + 8*o**3 - 8*o - 5*o**4.
-2*(o - 2)**2*(o - 1)*(o + 1)
Let b be ((-3)/(-90))/(9/(27/12)). Let y(i) be the second derivative of -11*i + b*i**6 + 0*i**5 + 0 + 1/8*i**2 + 0*i**3 - 1/24*i**4. Factor y(j).
(j - 1)**2*(j + 1)**2/4
Let z = 4913 - 4909. Factor 1/3*w**z + 0*w**2 + 0 + w**3 + 0*w.
w**3*(w + 3)/3
Let q(b) be the first derivative of 3*b**4/4 + 20*b**3 + 102*b**2 + 192*b + 91. Factor q(z).
3*(z + 2)**2*(z + 16)
Factor 1/6*l - 1/3*l**2 + 1/3*l**4 - 1/6*l**5 + 0*l**3 + 0.
-l*(l - 1)**3*(l + 1)/6
Let t(a) be the first derivative of 18/7*a + 2/21*a**3 + 6/7*a**2 + 1. Find w, given that t(w) = 0.
-3
Let w(g) be the second derivative of 10/3*g**4 + 0 - 1/4*g**5 + 17*g + 10*g**3 + 0*g**2 - 1/6*g**6. Suppose w(t) = 0. Calculate t.
-2, 0, 3
Let l be 3 - 35/10 - 9/(-2). What is t in -35*t**2 + 65*t + 3*t**3 - 7*t**3 + 3*t**3 + 5*t**l - 30 - 4*t**3 = 0?
-3, 1, 2
Let b(s) be the first derivative of s**3/15 - 52*s**2/5 + 103*s/5 - 503. Factor b(p).
(p - 103)*(p - 1)/5
Suppose -41*b - 56*b = 34*b - 262. Suppose 8/5*z - 2/5*z**2 + b = 0. Calculate z.
-1, 5
Suppose -2*c - 14 = -5*j + 2*c, -j + 5*c + 7 = 0. Let 6/5*n + 0 + 2/5*n**j = 0. What is n?
-3, 0
Let i(k) be the second derivative of 0*k**2 + 0 - 5/3*k**3 + 18*k + 1/6*k**4. Let i(m) = 0. What is m?
0, 5
Let d(f) be the second derivative of 2*f**6/15 - 6*f**4 - 64*f**3/3 - 30*f**2 - 146*f. Solve d(c) = 0 for c.
-3, -1, 5
Let u(j) be the third derivative of 11*j**7/2100 - j**6/75 + j**5/300 - 7*j**3/6 + 29*j**2 + 1. Let a(g) be the first derivative of u(g). Factor a(r).
2*r*(r - 1)*(11*r - 1)/5
Let l = 10/149 + 2314/1043. Determine x, given that -l*x - 32/7 - 2/7*x**2 = 0.
-4
Let f(n) = -4*n**3 - 8*n**2 - 7*n - 3. Let h(q) = -3*q**3 - 7*q**2 - 6*q - 2. Let k(b) = -2*f(b) + 3*h(b). Factor k(w).
-w*(w + 1)*(w + 4)
Let k(g) = -26*g + 26. Let f be k(1). Let u(w) be the third derivative of 0*w + 0*w**3 + f - 1/60*w**5 + w**2 + 1/12*w**4. Factor u(p).
-p*(p - 2)
Let m(b) be the third derivative of b**5/390 + 10*b**4/39 - 41*b**3/39 + 406*b**2. Suppose m(n) = 0. Calculate n.
-41, 1
Let y(r) = -12*r**5 + 2*r**4 + 24*r**3 - 6*r**2 - 8*r - 14. Let b(j) = j**5 - j**4 - j**2 + j + 1. Let l(d) = -28*b(d) - 2*y(d). Factor l(x).
-4*x*(x - 3)*(x - 1)**3
Let w = 4924 + -162506/33. Let y = 155/132 + w. Determine q, given that -3/4*q**2 + y*q + 0 = 0.
0, 1
Determine a so that -4*a**2 - 55*a - 4624 - 123*a + a**2 - a**2 - 94*a = 0.
-34
Determine l so that 8/11 - 26/11*l**2 + 18/11*l = 0.
-4/13, 1
Let k(v) = 2*v**2 + 207*v - 1663. Let u be k(-111). Find c, given that -3/5*c + 3/5*c**3 - 2/5*c**u + 2/5 = 0.
-1, 2/3, 1
Determine c, given that -c**2 - c**3 + 3/2*c**4 + 3/2*c - 1/2*c**5 - 1/2 = 0.
-1, 1
Let l(z) be the third derivative of z**8/3024 - z**7/270 + 19*z**6/1080 - 5*z**5/108 + 2*z**4/27 - 2*z**3/27 + 33*z**2 - 1. Solve l(g) = 0 for g.
1, 2
Let i be (-172)/142 + (0 - 6 - -7). Let v = 119/781 - i. Let 0*z + 2/11*z**4 + 0 + v*z**3 + 2/11*z**2 = 0. What is z?
-1, 0
Let d(f) be the second derivative of f**6/120 - 9*f**5/80 + 5*f**4/16 - 7*f**3/24 - 341*f. Factor d(t).
t*(t - 7)*(t - 1)**2/4
Let g = 40 - 38. Suppose -4*s - 6 = 5*t - 2*s, 9 = -g*t - 3*s. Find x, given that 6/5*x**3 - 2/5*x**4 - 6/5*x**2 + t + 2/5*x = 0.
0, 1
Let p = -6301/5 + 1261. Solve 1/5*c**2 + 4/5*c + p = 0.
-2
Factor -27/5*v - 9/5 - 8/5*v**2.
-(v + 3)*(8*v + 3)/5
Suppose 0 = 5*s + 10, -4*s - 560 = 2*i - 62. Let x be 42/i + 3*4/21. Factor 6/5*v**2 + 0 + x*v**3 + 4/5*v.
2*v*(v + 1)*(v + 2)/5
Let d(c) be the second derivative of -c**7/70 - 3*c**6/50 - c + 379. Factor d(k).
-3*k**4*(k + 3)/5
Let u(r) be the third derivative of -r**7/42 + r**6/6 - 5*r**5/12 + 5*r**4/12 - 33*r**2 + r. Find l such that u(l) = 0.
0, 1, 2
Let m(d) = 2*d**3 - d**2 - d. Let s(x) = -39*x**3 - 198*x**2 + 307*x - 70. Let o(h) = -2*m(h) - s(h). Let o(w) = 0. What is w?
-7, 2/7, 1
Let i(a) be the first derivative of -a**3/8 - 39*a**2/8 + 21*a + 310. Factor i(j).
-3*(j - 2)*(j + 28)/8
Let m(g) = 3*g - 46. Let s be (-6)/63 - 338/(-21). Let n be m(s). Suppose -3/2*b**4 + 0 + 1/2*b**3 + 1/2*b**5 - b + 3/2*b**n = 0. Calculate b.
-1, 0, 1, 2
Determine p, given that -15*p**2 + 15/2*p**3 - 15/2*p - 3/4*p**4 + 63/4 = 0.
-1, 1, 3, 7
Let b be (15/(-10))/((-6)/(-8)) - -4. Factor -47*m - 59*m + 118*m + 3*m**b + 9.
3*(m + 1)*(m + 3)
Let t(r) be the second derivative of 0*r**4 + 0 + 1/231*r**7 + 8*r + 1/110*r**5 + 0*r**2 + 2/165*r**6 + 0*r**3. Factor t(n).
2*n**3*(n + 1)**2/11
Let t = -44 - -48. Factor 24*n**2 - t*n**3 - 1 + 27*n + 18 - 75*n + 15.
-4*(n - 2)**3
Suppose 0 = -3*s - 2*n + 172, 0 = 6*s - 7*s + 5*n + 63. Let s*f**2 - 130*f - 36*f**3 - 50 - 37*f**3 + 67*f**3 = 0. Calculate f.
-1/3, 5
Suppose 251*b**3 - 18*b**4 - 18*b - 95*b**3 + 58*b**2 - 18*b = 0. Calculate b.
-2/3, 0, 1/3, 9
Let s(n) = -n**2 + 2*n + 24. Let r be ((-96)/20)/(-4)*5. Let z be s(r). Factor -1/6*u + z - 1/6*u**2.
-u*(u + 1)/6
Let h = 8441 + -8441. Suppose 3/2*u**3 + 0*u + h - 3*u**2 = 0. What is u?
0, 2
Let m(y) = -y**3 - 5*y**2 - 158*y - 1453. Let b be m(-8). Suppose -70/17*i**b + 40/17*i + 30/17*i**2 + 8/17 - 42/17*i**5 - 110/17*i**4 = 0. Calculate i.
-1, -2/7, 2/3
Let b(l) = -2*l + 22. Let p be b(9). Factor 2*h**4 + 6 + p*h + 2 - 52*h**3 - 22*h**4 - 28*h**2 - 8*h**2.
-4*(h + 1)**3*(5*h - 2)
Let 146/3*h + 2/3 + 145/6*h**2 = 0. Calculate h.
-2, -2/145
Let q(z) = -185*z**3 - 320*z**2 - 440*z + 880. Let d(f) = 17*f**3 + 29*f**2 + 40*f - 80. Let n(c) = 65*d(c) + 6*q(c). Factor n(w).
-5*(w - 1)*(w + 4)**2
Suppose -19 - 1 = -5*n. Let 1665*l + l**4 + n*l**3 + 4*l**2 - 1665*l = 0. What is l?
-2, 0
Let r(g) be the second derivative of g**7/42 + g**6/15 - g**5/20 - g**4/6 - 266*g. Suppose r(m) = 0. What is m?
-2, -1, 0, 1
Let n = -35 - -36. Find l, given that -5*l + l**2 + 2 + 3 + n - 2 = 0.
1, 4
Let h(m) = m**3 + 2. Let z be h(0). Factor 1/4*t - 1/4*t**3 + 1/4*t**z - 1/4.
-(t - 1)**2*(t + 1)/4
Let k(t) be the second derivative of t**5/20 - t**4/12 - 5*t**3/6 - 3*t**2/2 + 5*t. Factor k(v).
(v - 3)*(v + 1)**2
Let r = 12 + -7. Solve -6*h - 15*h**4 - 27*h**3 - 3*h**2 + 0*h**r - 18*h**2 + 3*h**5 - 6*h**5 = 0.
-2, -1, 0
Let y(w) be the first derivative of 3/4*w**4 - 3/2*w**2 + 2*w - 29 - 1/3*w**3 - 1/5*w**5. Determine z, given that y(z) = 0.
-1, 1, 2
Let j(g) be the first derivative of -3/2*g**2 - 27/4*g**4 + 14*g**3 - 4 - 12*g. Find y such that j(y) = 0.
-4/9, 1
Let a(l) be the first derivative of 0*l**2 + 0*l - 1/51*l**6 - 21 + 8/85*l**5 - 5/34*l**4 + 4/51*l**3. Factor a(x).
-2*x**2*(x - 2)*(x - 1)**2/17
Factor -11/2 - 89/4*n - n**2.
-(n + 22)*(4*n + 1)/4
Let v = 1076 + -3256/3. Let p = 10 + v. Factor p*s**4 + 2/3*s**3 - 2/3*s**5 - 2/3*s**2 + 0*s + 0.
-2*s**2*(s - 1)**2*(s + 1)/3
Let y(z) be the first derivative of -7*z**4/2 + 12*z**3 - 5*z**2 - 12*z + 758. Suppose y(n) = 0. What is n?
-3/7, 1, 2
Let b(u) = -32*u**2 - 6*u. Let c be b(5). Let a = 5826/7 + c. Factor -32/7 - 2/7*x**2 - a*x.
-2*(x + 4)**2/7
Factor -82*k**3 + 79*k**3 - 43*k + 10*k + 36*k**2 - 2 + 2.
-3*k*(k - 11)*(k - 1)
Let h(w) = 29*w**2 - 51*w - 3. Let z(v) = -84*v**2 + 152*v + 8. Let q(s) = -8*h(s) - 3*z(s). Solve q(l) = 0.
0, 12/5
Let c(r) be the third derivative of -r**8/504 + r**7/180 + r**6/120 - 7*r**5/360 - r**4/72 + 51*r**2 - 2*r. Determine t, given that c(t) = 0.
-1, -1/4, 0, 1, 2
Let y(c) = -c**2 - 32*c - 131. Let m be y(-5). Let 0*h - 3/2*h**2 - 1/2*h**m + 3/4*h**5 - 19/4*h**3 + 0 = 0. What is h?
-2, -1/3, 0, 3
Let i(w) be the first derivative of -21*w**4/10 + 17*w**3/5 - 3*w**2/10 - 6*w/5 + 163. Find b, given that i(b) = 0.
-2/7, 1/2, 1
Let c = 35 + -30. Suppose c - 1 - 3*l**2 