 + 2. Let c be (-1 + 7)*(f + 32/(-36)). Let -1/3*d**5 + 0*d + 0 + c*d**2 - 2/3*d**4 + 1/3*d**3 = 0. Calculate d.
-2, -1, 0, 1
Let f be 4 + 6/(24/20). Let z = f + -3. Factor -3*p**2 + 14*p - z*p**2 - 4*p + 2*p.
-3*p*(3*p - 4)
Let s(u) = 108*u**3 - 48*u**2 - 52*u - 9. Let i(z) = -1. Let n(j) = -i(j) + s(j). Factor n(p).
4*(p - 1)*(3*p + 1)*(9*p + 2)
Let y(s) = -s**3 - 4*s**2 - 1. Let t be y(-3). Let x = 16 + t. Find q, given that -15*q**3 - x*q**2 - 3*q**2 + 112*q - 106*q = 0.
-1, 0, 2/5
Determine m, given that 1/3*m**4 + m**3 - 1/3*m**5 + 0 - 2/3*m - 1/3*m**2 = 0.
-1, 0, 1, 2
Let p(i) be the first derivative of i**5/210 + 5*i**4/84 - 2*i**3/7 + 4*i**2 - 15. Let j(y) be the second derivative of p(y). Factor j(n).
2*(n - 1)*(n + 6)/7
What is k in -665/4*k**3 - 496*k**2 - 48 + 49/4*k**4 + 323*k = 0?
-3, 2/7, 16
Let s be 5 - ((-20)/8 - -4)*2. Find m such that 20*m**s + 30*m**3 - 40*m**3 + 22*m**3 - 8*m = 0.
-2, 0, 1/3
Let 8 + 40*d**2 - 39*d**2 + 59*d - 53*d = 0. Calculate d.
-4, -2
Let q(c) = 21*c**4 - 69*c**3 - 3*c**2 + 69*c - 12. Let p(l) = -1. Suppose 25*w - 12 = 27*w. Let z(n) = w*p(n) - q(n). Find o, given that z(o) = 0.
-1, 2/7, 1, 3
Let w = 2090 - 4159/2. Find g, given that -3/2*g**3 + 0*g**2 + w*g - 9 = 0.
-3, 1, 2
Let u(h) = -2*h**3 + 8*h**2 - 6*h - 2*h**3 + 17*h + 3*h**3. Let l(a) = 4*a**3 - 24*a**2 - 34*a. Let y(f) = 3*l(f) + 10*u(f). Suppose y(s) = 0. Calculate s.
-2, 0
Let h(u) be the third derivative of 3/160*u**6 + 7/240*u**5 + 0 + 0*u + 1/48*u**4 + 1/168*u**7 + 0*u**3 + 21*u**2 + 1/1344*u**8. Find r, given that h(r) = 0.
-2, -1, 0
Let a(b) be the second derivative of -b**6/10 + 63*b**5/20 - 99*b**4/4 - 121*b**3/2 - 192*b. Factor a(r).
-3*r*(r - 11)**2*(r + 1)
Let o(b) = 119*b + 597. Let s be o(-5). Factor 6/11*p - 4/11 - 2/11*p**s.
-2*(p - 2)*(p - 1)/11
Let c(m) be the first derivative of -m**3/18 - 5*m**2/2 - 75*m/2 - 25. Solve c(i) = 0.
-15
Suppose -6 = -2*i - i. Factor 2*v**4 - 8*v + 14*v**2 - 18 - 2*v**2 + i + 10*v**3.
2*(v - 1)*(v + 2)**3
Solve -14*r**2 - 249*r - 10*r**2 + 33*r**2 + 252 - 12*r**2 = 0.
-84, 1
Let x(n) be the second derivative of 5/9*n**3 + 0 + 0*n**2 + 7/18*n**6 - 1/4*n**5 - 10*n - 5/12*n**4 - 5/42*n**7. Factor x(m).
-5*m*(m - 1)**3*(3*m + 2)/3
Let l(d) be the second derivative of d**7/4620 + d**6/990 - d**5/660 - d**4/66 - 3*d**3/2 + 14*d. Let i(s) be the second derivative of l(s). Solve i(o) = 0.
-2, -1, 1
Let f be (-116)/(-1218) + (72/28 - 2). Factor 0 + 2/3*b**2 - 2/3*b**3 + f*b - 2/3*b**4.
-2*b*(b - 1)*(b + 1)**2/3
Factor -1923*h + 10*h**2 + 1904*h - 3 + 1.
(h - 2)*(10*h + 1)
Suppose -7*p = -71 + 15. Suppose 4*w + 0*g = -5*g + p, 5*w - 10 = 4*g. Factor h + 1/2*h**w + 1/2.
(h + 1)**2/2
Let q(h) = -h**2 - h. Let i(a) = a. Let u(v) = 10*v. Let c(p) = 44*i(p) - 4*u(p). Let t(d) = -c(d) - q(d). Factor t(m).
m*(m - 3)
Let h(s) = 4*s**4 + 2*s**3 + 11*s**2 + 7*s + 3. Let f(l) = 5*l**4 + l**3 + 12*l**2 + 8*l + 4. Let q(x) = 3*f(x) - 4*h(x). Factor q(g).
-g*(g + 1)*(g + 2)**2
Suppose -4781*u + 4772*u + 18 = 0. Determine q, given that -6/7*q**u + 0 - 2/7*q**3 - 4/7*q = 0.
-2, -1, 0
Suppose 4*r = 11*i - 6*i - 8, r = 4*i - 2. Let 3/2*j + i + 3*j**2 + 3/2*j**3 = 0. What is j?
-1, 0
Let y(f) = 5*f**4 - 3*f**3 - 12*f**2 - 19*f + 3. Let s(h) = -h**3 + h**2 - 3*h + 1. Let v(q) = -3*s(q) + y(q). Determine b so that v(b) = 0.
-1, 0, 2
Let v(h) be the first derivative of -5*h**5 + 185*h**4/4 - 470*h**3/3 + 230*h**2 - 120*h - 37. Find w, given that v(w) = 0.
2/5, 2, 3
Let h(c) be the third derivative of 2*c**6/45 - 23*c**5/45 - c**4/2 + 4*c**3 - 2*c**2 - 32. What is n in h(n) = 0?
-1, 3/4, 6
Let c(h) = h**3 + 15*h**2 + 52*h - 25. Let j be c(-7). Let o(u) be the first derivative of -36*u - 3 + 12*u**2 - 4/3*u**j. Factor o(w).
-4*(w - 3)**2
Let b be (1/(-2))/(405/(-54)). Let i(r) be the third derivative of 0*r - 1/6*r**4 + 0*r**3 - 3*r**2 + 0 + b*r**5. Factor i(q).
4*q*(q - 1)
Let v = -5 - -14. What is m in 10*m - 5 - m**3 - 104*m**4 + 109*m**4 - v*m**3 = 0?
-1, 1
Factor 32/9*a**2 + 0 - 2/9*a**4 + 0*a - 10/3*a**3.
-2*a**2*(a - 1)*(a + 16)/9
Let l(k) = k**3 - 6*k**2 - 18*k + 117. Let s be l(5). Determine d so that 8 + 1/2*d**s + 4*d = 0.
-4
Let c(m) be the second derivative of 0 - 20*m - 1/3*m**3 + 0*m**2 + 1/3*m**4 - 1/10*m**5. Solve c(w) = 0 for w.
0, 1
Let i(z) be the third derivative of 12*z**2 + 0*z**3 + 1/42*z**4 + 1/70*z**5 + 0 + 1/420*z**6 + 0*z. Solve i(u) = 0 for u.
-2, -1, 0
Let a be 1*(17/26 - (2 + (-21)/14)). Factor -12/13 - 2/13*x + a*x**2.
2*(x - 3)*(x + 2)/13
Factor 70*j**2 - 14*j**2 + 9344*j**3 - 4*j**4 - 9364*j**3.
-4*j**2*(j - 2)*(j + 7)
Suppose 2*i + 2*l = 22, 2*i + i + 2*l = 29. Suppose 5*a - i - 3 = 0. Factor 0*t**3 + t**3 - 3*t**2 + 0*t**3 + 0*t**2 + a*t.
t*(t - 2)*(t - 1)
Suppose 3*y + 5*s - 88 = 0, -3*y + 5*s = -0*s - 68. Suppose -y*r + 26 + 26 = 0. Factor -3/5*p**5 + 3/5*p**3 + 0 + 0*p + 0*p**4 + 0*p**r.
-3*p**3*(p - 1)*(p + 1)/5
Let n(s) be the second derivative of s**5/8 + 25*s**4/24 + 5*s**3/2 - 23*s + 1. Find k such that n(k) = 0.
-3, -2, 0
Let c(m) = -1 + 3*m - m**2 - 5*m + m. Let y be (-5)/(-1) + -2 + 1. Let t(x) = -2*x**3 + 2*x**2 - 8*x - 4. Let b(f) = y*c(f) - t(f). Let b(w) = 0. What is w?
0, 1, 2
Let n be (((-22)/(-3))/(-2))/((-1)/9). Let s = 33 - n. Let 1/8*k**3 + 1/8*k**4 - 1/8*k**2 - 1/8*k**5 + s*k + 0 = 0. Calculate k.
-1, 0, 1
Determine o, given that 3/2*o + 1/2*o**2 - 2 = 0.
-4, 1
Suppose 14*p - 270 = -40*p. Let g(q) be the first derivative of 3*q**3 - p + 0*q - 3/2*q**2. Factor g(s).
3*s*(3*s - 1)
Suppose 40*z = 43*z - 6. Find v, given that -5/4 - 15/4*v**z - 5/4*v**3 - 15/4*v = 0.
-1
Suppose 95/6*i**2 + 10/3*i**3 + 10*i + 0 = 0. What is i?
-4, -3/4, 0
Factor 50/9*j + 0 + 332/9*j**3 + 280/9*j**2 - 56/3*j**4 + 2*j**5.
2*j*(j - 5)**2*(3*j + 1)**2/9
Let p(u) be the second derivative of -u**6/15 - u**5/2 + 4*u**4/3 + 16*u**3 + 329*u. What is s in p(s) = 0?
-4, 0, 3
Let u be (-2)/(-48)*4*2/(-18)*-18. Factor u*t - 1/2 + 1/6*t**2.
(t - 1)*(t + 3)/6
Let f(h) be the third derivative of -h**7/630 + 11*h**6/180 - 37*h**5/180 - 77*h**4/6 - 98*h**3 + 270*h**2. Factor f(b).
-(b - 14)**2*(b + 3)**2/3
What is m in 235*m - 5*m**2 + 228*m - 458*m = 0?
0, 1
Let b = 3/353 - -10129/12708. Let c = -5/9 + b. Solve -c*d**2 + 1/2*d - 1/4 = 0 for d.
1
Let y = -14095/3 - -352393/75. Solve -y + 2/25*r**2 + 4/25*r = 0.
-3, 1
Suppose k + 6 = 2*r, 2*r - 885*k = -889*k - 4. Factor 0*q + 18/5*q**r + 9/5*q**4 + 33/5*q**3 + 0.
3*q**2*(q + 3)*(3*q + 2)/5
Let i(y) be the first derivative of -16/9*y**3 + 0*y + 2/9*y**4 + 2 - 1/90*y**5 + 1/2*y**2. Let n(s) be the second derivative of i(s). Factor n(v).
-2*(v - 4)**2/3
Let j(k) be the third derivative of -k**5/60 + 17*k**4/24 - 8*k**3/3 + 5*k**2. What is q in j(q) = 0?
1, 16
Let f(x) be the first derivative of -3*x**4/16 + 3*x**3/2 + 135*x**2/8 - 75*x/2 + 347. Factor f(w).
-3*(w - 10)*(w - 1)*(w + 5)/4
Let f = 12645 + -63224/5. Solve 0 - 1/5*o + 2/5*o**4 - 2/5*o**2 + f*o**5 + 0*o**3 = 0 for o.
-1, 0, 1
Suppose -5*q = 2*f, 2*f + 0*q = -q. Let m(d) be the third derivative of -1/120*d**4 - 7*d**2 + 0*d + f + 0*d**3 - 1/300*d**5. Determine c, given that m(c) = 0.
-1, 0
Let m(a) be the first derivative of -a**6/45 + 8*a**5/75 - 430. Factor m(j).
-2*j**4*(j - 4)/15
Let x(w) be the first derivative of -5 + 0*w**3 + 3/5*w**5 - w**4 - 1/10*w**6 + 3*w + 0*w**2. Let g(r) be the first derivative of x(r). Factor g(d).
-3*d**2*(d - 2)**2
Let t(v) be the second derivative of v**5/5 - v**4/3 - 32*v**3/3 - 40*v**2 + 648*v. Factor t(r).
4*(r - 5)*(r + 2)**2
Suppose 6*k = -3038 + 3038. Let 2/3*b**5 + 0*b**2 + k*b - 4/3*b**4 + 0*b**3 + 0 = 0. Calculate b.
0, 2
Let w(q) be the first derivative of -27*q**5/5 - 15*q**4 - 4*q**3 - 779. Factor w(y).
-3*y**2*(y + 2)*(9*y + 2)
Let b(w) = -351*w - 3508. Let f be b(-10). What is v in -7/2 - 3/2*v**f - 5*v = 0?
-7/3, -1
Let j(q) = 1363*q + 2726. Let d be j(-2). Determine b so that 3/2*b**4 + 1/2*b**5 + b**3 + 0 + d*b**2 + 0*b = 0.
-2, -1, 0
Let o(b) be the second derivative of -b**8/3360 + b**6/120 + b**5/30 + 5*b**4/4 - 21*b. Let p(c) be the third derivative of o(c). Suppose p(g) = 0. What is g?
-1, 2
Factor 2/5*u**2 - 2*u + 8/5.
2*(u - 4)*(u - 1)/5
Suppose -2/11*c**2 - 820/11*c - 84050/11 = 0. Calculate c.
-205
Factor 20/19 + 14/19*h + 2/19*h**2.
2*(h