or u(f).
-5*f*(f - 1)*(f + 2)
Let q(c) = c**3 + c**2 - c - 1. Let j(z) = -4*z**3 - 35*z**2 - 26*z + 5. Let x(n) = -j(n) - 5*q(n). Find r, given that x(r) = 0.
-1, 0, 31
Let v(y) be the first derivative of 5/2*y**2 - 5/12*y**4 + 0*y - 32 - 10/9*y**3. Factor v(u).
-5*u*(u - 1)*(u + 3)/3
Let r be 132/30 + (4/(-10) - 0). Let l be (3 + (-9)/r)/(36/32). Factor -4/3 - l*n**2 - 2*n.
-2*(n + 1)*(n + 2)/3
Suppose -2*t = -2*b - 4*t + 2, 0 = 3*b + 5*t - 1. Suppose -l + 9 = 2*l. Factor -2 + l*m + 6*m + 2*m**3 - 3*m + m**2 - 7*m**b.
2*(m - 1)**3
Let u = 707 - 704. Factor 0*t**2 - 3/7 - 6/7*t**u + 6/7*t + 3/7*t**4.
3*(t - 1)**3*(t + 1)/7
Factor -34*y + 82*y**2 + 2*y - 12349*y**3 - 56 + 12355*y**3.
2*(y - 1)*(y + 14)*(3*y + 2)
Let k = 1307/2 - 637. Let g = 46 - 37. Factor -6 + k*w - g*w**2.
-3*(2*w - 1)*(3*w - 4)/2
Let h(y) = 3*y**5 - 3*y**4 - 15*y**3 + 30*y**2 + 3*y. Let r(d) = 3*d**5 - 2*d**4 - 16*d**3 + 32*d**2 + 4*d. Let s(l) = -4*h(l) + 3*r(l). Factor s(j).
-3*j**2*(j - 2)**2*(j + 2)
Suppose 318*d + 324*d - 180 = 632*d. Factor -63*r + 5/3*r**4 - 47/3*r**3 + 51*r**2 + d.
(r - 3)**3*(5*r - 2)/3
Let k(c) be the second derivative of -2*c**7/3 + c**6/5 + 37*c**5/10 + c**4/2 - 23*c**3/3 - 6*c**2 - 26*c - 11. Suppose k(p) = 0. What is p?
-1, -2/7, 1, 3/2
Factor 0 + 4/3*d**3 + 0*d**2 + 0*d + 2/3*d**5 + 2*d**4.
2*d**3*(d + 1)*(d + 2)/3
Let i(w) be the first derivative of 5*w**3/3 - 65*w**2 + 125*w + 1. Determine r, given that i(r) = 0.
1, 25
Let y(c) be the second derivative of 13*c**4/16 - 35*c**3/8 - 9*c**2/2 - c - 44. Factor y(f).
3*(f - 3)*(13*f + 4)/4
Suppose 5*q - 24 = 3*l + 8, -2*q - 3*l - 4 = 0. Suppose 4*k**q + 5*k**2 + 3 - 4*k + 4*k**3 - 5*k**4 - 7*k**2 = 0. Calculate k.
-1, 1, 3
Let m = 35 + -31. Let z(q) be the third derivative of 0*q + 0 - 1/12*q**m - 9*q**2 + 0*q**3 - 1/30*q**5. Let z(l) = 0. What is l?
-1, 0
Let m(w) = 4*w**4 - 4*w**3 + 12*w**2 + 6*w - 12. Let r(l) = -11*l**4 + 11*l**3 - 36*l**2 - 17*l + 34. Let a(g) = -17*m(g) - 6*r(g). Let a(p) = 0. What is p?
-2, 0, 3
Let d(u) be the first derivative of -u**3 + 12*u**2 - 21*u - 60. Find m, given that d(m) = 0.
1, 7
Let q(d) be the first derivative of -2*d**3/9 + 5*d**2/3 + 28*d/3 + 35. Factor q(x).
-2*(x - 7)*(x + 2)/3
Let h(j) be the second derivative of 0 + 1/12*j**3 - 8*j - 1/8*j**2 - 1/48*j**4. Determine v so that h(v) = 0.
1
Let t(v) = 92*v - 84. Let o(i) = -i**2 + 89*i - 82. Let u(b) = 4*o(b) - 3*t(b). Find q, given that u(q) = 0.
1, 19
Let r(l) be the first derivative of 4/27*l**3 + 0*l - 17 - 1/6*l**4 + 1/9*l**2. Factor r(c).
-2*c*(c - 1)*(3*c + 1)/9
Let w = 407 - 404. Factor 0 - 1/8*o + 1/8*o**w + 0*o**2.
o*(o - 1)*(o + 1)/8
Let d = 2972 - 2972. Solve 1/2*x**5 + 0*x + 3/2*x**4 + x**3 + d*x**2 + 0 = 0 for x.
-2, -1, 0
Let x(q) = q**2 + 1. Let t(h) be the second derivative of -h**4/6 + 2*h**3/3 + h**2 - 17*h. Let c(f) = t(f) - 2*x(f). Factor c(d).
-4*d*(d - 1)
Suppose 0 = 193*f - 169 - 130 - 87. What is a in -4/7*a + 3/7*a**f + 1/7*a**3 + 0 = 0?
-4, 0, 1
Let k(d) be the third derivative of -d**5/30 + d**4/4 + 10*d**3/3 + 35*d**2 + 2. Determine a so that k(a) = 0.
-2, 5
Let r(q) = -q**5 + q**4 + q**3. Let k = 8 + -16. Let l(b) = -6*b**5 + 6*b**4 + 6*b**3 + 2*b**2. Let u(a) = k*r(a) + l(a). Suppose u(t) = 0. Calculate t.
-1, 0, 1
Factor 10/3*i - 2*i**2 - 14/9 + 2/9*i**3.
2*(i - 7)*(i - 1)**2/9
Suppose -m + 3*m = -18. Let g = -7 - m. Factor -3*q**g + 2 - 3*q - 2.
-3*q*(q + 1)
Suppose -6*p = -26*p + 11 + 29. Determine x, given that -4/5*x**4 + 2/5*x**5 - 14/5*x + 4/5 - 4/5*x**3 + 16/5*x**p = 0.
-2, 1
Suppose -4*k = r - 6*r - 5, 0 = 5*k + 4*r - 37. Find y, given that -y + y + 15*y**4 + 5*y**5 + 221*y**3 - 206*y**3 + k*y**2 = 0.
-1, 0
Suppose -5*o + 28 - 3 = 0. Suppose -o = -3*c + 1. Determine y so that -1 - 1 - 2*y**2 + y**c + 3*y**2 = 0.
-1, 1
Let -6 - 1 - 72*z**2 + z + 1 - 2*z**3 + 77*z**2 = 0. Calculate z.
-1, 3/2, 2
Factor 0 + 0*m - 34*m**2 + 4*m**3 - 2/17*m**4.
-2*m**2*(m - 17)**2/17
Let m(b) = 49*b - 2349. Let r be m(48). Factor -18/7 - 12/7*n**2 - 33/7*n + 3/7*n**r.
3*(n - 6)*(n + 1)**2/7
Let l = -1/1736 - -11/3720. Let g(i) be the third derivative of 0 - 1/120*i**5 - 1/240*i**6 + 0*i**3 + 2*i**2 + 0*i + 1/48*i**4 + l*i**7. Factor g(k).
k*(k - 1)**2*(k + 1)/2
Let u(w) = w**3 + 29*w**2 + 38*w + 2. Let h(x) = 3*x**3 + 58*x**2 + 80*x + 5. Let j(y) = 2*h(y) - 5*u(y). Determine b so that j(b) = 0.
-1, 0, 30
Let v = 64 + -49. Find p such that -11 - 1 + 11*p + v*p - 35*p + 3*p**2 = 0.
-1, 4
Let s(h) be the second derivative of -7*h + 0 + 1/2*h**3 - 5/2*h**2 - 1/20*h**5 - 1/8*h**4 + 1/40*h**6. Let g(k) be the first derivative of s(k). Factor g(q).
3*(q - 1)**2*(q + 1)
Let w = -50 + 50. Let d be 4 + (w - (2 - 1)). Factor 0*k + 0 + 1/4*k**2 - 1/4*k**d.
-k**2*(k - 1)/4
Suppose 3*y + s - 3 = -y, 0 = -5*y + 4*s + 30. Factor 33 - 8*o**2 + 0*o**y + 5*o**2 + 11*o - 41*o.
-3*(o - 1)*(o + 11)
Let -417*l**2 - 55*l**2 - 667*l + 2*l**4 - 6*l**4 + 92*l**3 - 40 - 101*l + 1192 = 0. Calculate l.
-2, 1, 12
Factor -1/3*k**2 + 1/3*k + 2/3.
-(k - 2)*(k + 1)/3
What is y in 1/5*y**2 + 676/5 + 52/5*y = 0?
-26
Let r(u) = 12*u**2 - 638*u - 433. Let s(d) = -37*d**2 + 1913*d + 1298. Let j(o) = 8*r(o) + 3*s(o). Factor j(v).
-5*(v - 43)*(3*v + 2)
Suppose -7*t + 45 = -53. Let x be ((-8)/t)/(3/(-21)). Factor -a**4 + 3*a**2 - 3*a + a**x + a**4 + 3*a**3 - 4*a**4.
-3*a*(a - 1)**2*(a + 1)
Let c = 82 + -76. Let y(p) be the first derivative of -8/3*p - 1/9*p**c + 2/15*p**5 - 8/3*p**2 + 5/6*p**4 - 2/9*p**3 - 2. Factor y(s).
-2*(s - 2)**2*(s + 1)**3/3
Let g(p) = p + 3. Let i be g(-5). Let k = i + 4. Factor 3/5*n + 0 + 0*n**k - 6/5*n**3 + 0*n**4 + 3/5*n**5.
3*n*(n - 1)**2*(n + 1)**2/5
Suppose 0 = -r - r + 5*o + 3, -9 = -3*o. Suppose r*p + 30 = 15*p. Determine t, given that 17/5*t**4 + 2/5*t + 13/5*t**2 + 24/5*t**3 + 4/5*t**p + 0 = 0.
-2, -1, -1/4, 0
Let i(b) be the second derivative of b**5/40 + 5*b**4/6 + 19*b**3/12 - 301*b. Determine v, given that i(v) = 0.
-19, -1, 0
Suppose 3*f - 7 = -4. Let g(d) = -21*d**3 - 14*d**2. Let q(b) = -b**3 + b**2. Let x(o) = f*g(o) + 4*q(o). Factor x(u).
-5*u**2*(5*u + 2)
Let y = 145/472 + 4/59. Let d(p) be the third derivative of 2*p**2 + 0*p + y*p**4 + 3/20*p**5 + 1/40*p**6 + 0 + 1/2*p**3. Determine k so that d(k) = 0.
-1
Determine u, given that 14/15*u**4 + 7200 + 25920*u + 2544*u**2 + 1264/15*u**3 = 0.
-30, -2/7
Suppose 9*a = 5*a. Solve a*g + 2/5*g**4 + 6/5*g**3 + 4/5*g**2 + 0 = 0 for g.
-2, -1, 0
Factor 0*i**3 + 1/4*i**4 + 1/4 - 1/2*i**2 + 0*i.
(i - 1)**2*(i + 1)**2/4
Let o be 1/(3*2/24). Determine w, given that -5*w + w + o*w - w**3 + 2*w**2 = 0.
0, 2
Let u(s) be the first derivative of -s**3/3 - 9*s**2/2 - 251. Determine h, given that u(h) = 0.
-9, 0
Let r(i) be the first derivative of -14*i**6 + 144*i**5/5 + 279*i**4/4 + 43*i**3 + 9*i**2 + 116. Find l, given that r(l) = 0.
-1/2, -2/7, 0, 3
Let n = 5 + -3. Let o(f) be the third derivative of 0 + 1/360*f**6 - 1/630*f**7 + 1/9*f**3 - 5/72*f**4 - f**n + 1/60*f**5 + 0*f. Factor o(d).
-(d - 1)**3*(d + 2)/3
Let t(h) be the second derivative of -h**6/120 + 49*h**5/40 - 2197*h**4/48 - 833*h**3/2 - 2601*h**2/2 - 276*h. Solve t(s) = 0 for s.
-2, 51
Let a = 28 - 20. Let 12*k + 4*k - 10 + 2*k**2 - a*k = 0. What is k?
-5, 1
Let c(z) be the first derivative of -5*z**7/42 - z**6/3 + 5*z**4/6 + 5*z**3/6 - 23*z + 32. Let v(j) be the first derivative of c(j). Factor v(l).
-5*l*(l - 1)*(l + 1)**3
Let y(d) be the third derivative of d**8/1176 - d**7/735 - d**6/70 + 2*d**5/105 + 2*d**4/21 - 150*d**2. Suppose y(i) = 0. Calculate i.
-2, -1, 0, 2
Let n = -93 - -1025/11. Suppose -2 = -0*a - a - 3*p, 3*a = 2*p + 6. Suppose -2/11*h + n - 2/11*h**a + 2/11*h**3 = 0. What is h?
-1, 1
Let x = 170 - 76. Let n = x + -91. Factor -4/3 + 2/3*u**n - 2/3*u + 4/3*u**2.
2*(u - 1)*(u + 1)*(u + 2)/3
Let l(n) be the second derivative of -n**6/30 - 3*n**5/5 - 7*n**4/2 - 10*n**3/3 + 75*n**2/2 - 37*n - 4. Factor l(y).
-(y - 1)*(y + 3)*(y + 5)**2
Let s be -2 + 3 - 3/(-1). Factor s*n**4 + 6*n**3 + 11*n**2 - n**4 - 8*n**2.
3*n**2*(n + 1)**2
Let g(s) be the first derivative of -s**4/21 + 2*s**3/7 - 4*s**2/7 + 15*s - 13. Let z(q) be the first derivative of g(q). Suppose z(v) = 0. Calculate v.
1, 2
Determine m so that -40/3*m**4 - 12*m**5 + 68/3*m**3 + 0 + 0*m + 8/3*m**2 = 0.
-2, -1/9, 0, 1
