- 5 + 32/7*m. Let w(c) = 0. Calculate c.
4/5
Suppose 0 = 8*q - 3*q - 15. Suppose 6*j**3 - q*j - 3*j**3 + 6*j**2 - 2 - 4 + 0 = 0. Calculate j.
-2, -1, 1
Let c = -265 - -796/3. Let g(o) be the first derivative of -1/2*o**4 + c*o**3 + 0*o - 3 + 1/5*o**5 + 0*o**2. Factor g(x).
x**2*(x - 1)**2
Let m(r) be the third derivative of 0 + 0*r - 1/600*r**6 + 1/15*r**3 + 6*r**2 - 1/150*r**5 + 1/120*r**4. Let m(d) = 0. Calculate d.
-2, -1, 1
Let d be ((-5)/(3 + 17))/(20/(-224)). Find a, given that 6/5*a**2 + d*a + 4/5 - 14/5*a**3 - 2*a**4 = 0.
-1, -2/5, 1
Suppose -45 = -7*x - 17. Let n(t) be the first derivative of 1/9*t**3 + 0*t - x - 1/24*t**4 + 0*t**2. Factor n(l).
-l**2*(l - 2)/6
Let j(p) be the second derivative of p**8/23520 - p**6/840 - p**5/210 + 2*p**4/3 + 31*p. Let n(k) be the third derivative of j(k). Factor n(l).
2*(l - 2)*(l + 1)**2/7
Let y(f) be the third derivative of f**6/24 + 11*f**5/12 + 175*f**4/24 + 125*f**3/6 - 35*f**2 + f. Suppose y(o) = 0. Calculate o.
-5, -1
Let d(t) = t**2 + 2*t - 1. Let m be d(-3). Suppose -3*s - 3 + 6 = 0. Factor 12*q**3 - 1 - q**m - 11*q**3 + s.
q**2*(q - 1)
Suppose -44/3*k**2 - 48 + 152/3*k + 2/3*k**3 = 0. Calculate k.
2, 18
Let v(m) be the first derivative of -29*m**4/22 + 118*m**3/11 - 279*m**2/11 + 54*m/11 + 225. Factor v(h).
-2*(h - 3)**2*(29*h - 3)/11
Let y(m) be the third derivative of m**6/60 - 14*m**5/15 - 31*m**4/12 + 58*m**3/3 - 12*m**2 - 4. Determine q so that y(q) = 0.
-2, 1, 29
Solve -7/2*v**3 - 90*v**2 - 1131/2*v + 169 = 0 for v.
-13, 2/7
Let z be (2 - 2 - 28)*(-2)/44. Solve -z*f**4 + 24/11*f - 24/11*f**3 - 8/11 + 2*f**2 = 0 for f.
-2, -1, 2/7, 1
Determine v, given that -22/9*v + 2*v**2 - 2/9*v**3 - 14/3 = 0.
-1, 3, 7
Suppose 2 = 2*z + 6. Let q be (-3)/((-3)/z) + 4. Determine n so that 7*n - n**q - 4*n**3 - 7*n - 3*n**2 = 0.
-1, 0
Let z = 7147/55 - 617/5. Factor -78/11*n**3 - z*n**2 - 6/11*n**5 + 0 - 24/11*n - 36/11*n**4.
-6*n*(n + 1)**2*(n + 2)**2/11
Let j(b) = b**3 - 9*b**2 - 5*b + 28. Let o be j(12). Let s = 3604/9 - o. Factor s + 10/9*h + 8/9*h**2 + 2/9*h**3.
2*(h + 1)**2*(h + 2)/9
Let z(u) be the third derivative of 5/6*u**3 + 0*u + 1/150*u**5 + 1/900*u**6 - 6*u**2 + 0 + 1/60*u**4. Let s(g) be the first derivative of z(g). Factor s(i).
2*(i + 1)**2/5
Suppose 13/2*b + 0 + 3/4*b**4 + 37/2*b**3 - 103/4*b**2 = 0. What is b?
-26, 0, 1/3, 1
Suppose 2*b - 15 = -3*b. What is s in -22*s**3 + 40*s**3 + 12*s**2 + 8*s - 12*s**4 - 26*s**b = 0?
-1, -2/3, 0, 1
Let h = 22 - 16. Suppose -2*a + 13*a**2 - 16*a**2 - a - 18 + h*a**2 = 0. What is a?
-2, 3
Let o(j) be the second derivative of 2*j**5/75 + j**4/10 - 49*j**3/45 + 2*j**2 - 163*j. Find t, given that o(t) = 0.
-5, 3/4, 2
Let t(h) = h**2 - 5*h + 5. Let k(b) = -2*b**2 + 29*b + 20. Let x be k(15). Let p be t(x). Factor 2/13*r**4 - 2/13*r**2 + 0*r - 2/13*r**3 + 2/13*r**p + 0.
2*r**2*(r - 1)*(r + 1)**2/13
Let o(s) be the second derivative of s**5/120 + s**4/36 - s**3/36 - s**2/6 + 17*s. Factor o(u).
(u - 1)*(u + 1)*(u + 2)/6
Let b = 389/84 + 1/28. Factor 2 + 4/3*i**2 - b*i.
2*(i - 3)*(2*i - 1)/3
Solve -3/8*w**2 + 33/8 + 15/4*w = 0.
-1, 11
Solve -224*w + 680*w + 907*w**2 + 68827 + 836*w**2 - 68839 = 0 for w.
-2/7, 2/83
Let q(k) = 2*k**2 + 26*k + 4. Let h(p) = -12*p**2 - 130*p - 22. Let f(b) = -2*h(b) - 11*q(b). Factor f(r).
2*r*(r - 13)
Suppose -4*w + 5*q - 5 = 0, 145*q = -w + 143*q + 2. Factor w - 1/5*m**2 + 0*m - 1/5*m**3.
-m**2*(m + 1)/5
Let y be (-2)/(-4) + (-135)/(-10). Factor -3*s**2 + 3 - 3*s - 12 - y*s + 5*s.
-3*(s + 1)*(s + 3)
Determine u, given that -2/13*u**3 + 0*u + 2/13*u**2 + 0 = 0.
0, 1
Let c be (17 - 26)*10/(-6). Let f be 14 + -11 + (99/c)/(-3). Factor f*j**2 - 1/5*j**3 - j + 2/5.
-(j - 2)*(j - 1)**2/5
Let n(u) be the first derivative of -2*u**5/35 + 6*u**4/7 - 22*u**3/21 - 116. Factor n(f).
-2*f**2*(f - 11)*(f - 1)/7
Let f(o) be the second derivative of o**8/4200 - o**6/75 + 4*o**5/75 + 26*o**3/3 + 46*o. Let h(s) be the second derivative of f(s). Factor h(z).
2*z*(z - 2)**2*(z + 4)/5
Let b(v) be the first derivative of 5/12*v**4 - 10/3*v + 1/3*v**5 - 15 - 25/6*v**2 - 5/3*v**3. Determine f, given that b(f) = 0.
-1, 2
Let o = 34/23 - 56/69. Suppose -3*n = -2 - 7. Factor o*i**n + 16/3 - 4/3*i**2 - 8/3*i.
2*(i - 2)**2*(i + 2)/3
Let d be (-23597)/14*(-1 - 1). Let i = -37033/11 + d. Factor -32/11*b**3 - 18/11*b - 2/11 - i*b**2.
-2*(b + 1)*(4*b + 1)**2/11
Suppose b - 5*r - 58 = 0, -b - 2*b + 4*r = -174. Suppose 0 = -61*h + b*h. Factor h + 3/2*x**5 + 9/2*x**2 - 15/2*x**3 + 3/2*x**4 + 0*x.
3*x**2*(x - 1)**2*(x + 3)/2
Determine z, given that 64/15*z + 512/15 - 34*z**2 - 2/15*z**4 - 64/15*z**3 = 0.
-16, -1, 1
Let m(l) be the third derivative of l**2 + 0 + 0*l**3 + 0*l**4 + 7/660*l**6 - 1/616*l**8 - 1/165*l**5 + 0*l - 2/1155*l**7. Determine p so that m(p) = 0.
-2, 0, 1/3, 1
Let b(m) = -6*m**4 - 6*m**3 - 3*m**2 - 3*m - 3. Let c(r) = -r**5 + 5*r**4 + 4*r**3 + 2*r**2 + 2*r + 2. Let k(d) = 2*b(d) + 3*c(d). Factor k(t).
-3*t**4*(t - 1)
Let q(x) = -x**2 - 3 + 3. Let k(f) = -f**3 - 6*f**2. Let g be 3/(-2) + 2/4 + 0. Let j(b) = g*k(b) + 6*q(b). Factor j(s).
s**3
Suppose 19*j + 9 = 22*j. Factor -3 - 5 + 5 - 2*u + j*u**3 + 3*u**2 - u.
3*(u - 1)*(u + 1)**2
Let k(y) = 1. Let d(g) = 5*g**2 + 170*g + 1449. Suppose a = -5*j - 3, -3*j + 9 = -4*j + 4*a. Let b(f) = j*d(f) + 4*k(f). Factor b(w).
-5*(w + 17)**2
Let s = -1/2179 - -21793/6537. Let h = 4 + 2. Find l such that s*l**2 + 2/3*l**3 - h + 2*l = 0.
-3, 1
Let n be (-4)/(0 + 6/(-3)). Suppose f - n*i = -5*i + 16, -2*i = -8. Factor 16*p**4 + 4*p**2 - 4*p**3 + f*p - 2 - 20*p**4 + 2.
-4*p*(p - 1)*(p + 1)**2
Let f(a) be the first derivative of 2*a**5/75 + 7*a**4/30 + 4*a**3/15 - 236. Solve f(u) = 0.
-6, -1, 0
Suppose 5*a - 5 = 0, 69*a - 71*a + 22 = 5*s. Find q, given that -2/13*q**3 + 0*q + 2/13*q**s + 0 - 4/13*q**2 = 0.
-1, 0, 2
Let k = -847 + 847. Let q(j) be the third derivative of 0*j**5 + k*j**3 + j**2 + 0*j + 1/1155*j**7 - 1/660*j**6 + 0*j**4 + 0. Suppose q(o) = 0. What is o?
0, 1
Suppose 0 = -14*a + 7*a + 49. Let v(r) be the first derivative of 0*r + 0*r**2 - 1/2*r**4 - 2/5*r**5 + 4/3*r**3 + a. Factor v(c).
-2*c**2*(c - 1)*(c + 2)
Suppose 0 = 8*s - 24*s + 161376. Factor s - 10*j**3 + 10*j - 10086 + 5*j**2 - 5*j**4.
-5*j*(j - 1)*(j + 1)*(j + 2)
Solve -3*b**3 - 4*b**2 + b**3 - 96 + 96 = 0 for b.
-2, 0
Let z be (1/(-2))/((-8)/48). Factor 7*l**2 + 77*l**2 + 24 + 4*l**4 - 76*l - 15*l**z - 21*l**3.
4*(l - 6)*(l - 1)**3
Let d be 117/13 - (-6)/(96/(-136)). Factor 0*o**2 + 0*o**4 - 1/4*o**5 + 0 - 1/4*o + d*o**3.
-o*(o - 1)**2*(o + 1)**2/4
Let t(v) be the second derivative of -v**5/130 + 2*v**4/39 - 4*v**3/39 - 3*v**2 + 2*v. Let s(l) be the first derivative of t(l). Factor s(x).
-2*(x - 2)*(3*x - 2)/13
Let w(g) be the first derivative of 4*g**3/3 - 70*g**2 - 253. Let w(k) = 0. What is k?
0, 35
Let u be (-9)/(-2)*7*(-92)/(-1449). Factor 1/2*j**3 + 3/2*j**u - 2*j + 0.
j*(j - 1)*(j + 4)/2
Suppose 21*v + 45 = 24*v + 12*v. Find o such that 0*o + 0 + 1/2*o**v + 1/2*o**4 + 0*o**2 = 0.
-1, 0
Let l(s) be the first derivative of -3/7*s**3 - 3/28*s**4 + 6/7*s**2 + 15 + 0*s. Factor l(m).
-3*m*(m - 1)*(m + 4)/7
Let t(l) be the third derivative of -l**7/525 + l**6/50 + 7*l**5/150 - l**2 - 113. Find g such that t(g) = 0.
-1, 0, 7
Let m be 0/(-2)*7/7. Suppose g - 3*g + 6 = m. Find c, given that 0 - 4*c**2 + g + c**2 = 0.
-1, 1
Suppose -k = k. Suppose k = 2*z - z - 3. Factor -2*y**4 - 18*y + 9*y**z - 12*y**2 + 26*y - 2 - y**3.
-2*(y - 1)**4
Let h = 312 + -308. Let l(p) be the second derivative of 3*p + 0 + 1/60*p**6 - 1/40*p**5 + 0*p**3 + 0*p**2 + 0*p**h. Find b such that l(b) = 0.
0, 1
Let r(y) be the first derivative of -13*y**4/4 + 2*y**3 + 764. Factor r(p).
-p**2*(13*p - 6)
Suppose 15 = -12*r + 47*r - 55. Determine x so that -9*x**3 - 3/2*x**4 + 0 - 27/2*x**r + 0*x = 0.
-3, 0
Let z(a) be the first derivative of -7/9*a**4 - 8/9*a + 2 - 26/9*a**3 - 8/3*a**2. Determine q so that z(q) = 0.
-2, -1/2, -2/7
Find b such that -30*b**2 - 7/4 - 57/4*b - 4*b**3 = 0.
-7, -1/4
Let q(c) = -2*c**3 - 33*c**2 + 52*c - 26. Let y be q(-18). Let l = 13 - 5. Find o such that -6*o - o - 24*o**2 - y*o**3 - o - 2*o**4 + l*o**2 = 0.
-2, -1, 0
Let q(n) be the second derivative of -125/2*n**2 + 19*n + 25/3*n**3 - 5/12*n**4 + 0. Determine s, given that q(s) = 0.
5
