t). Let g(q) = 0. Calculate q.
0, 1
Let q(a) = -5*a**2 + 45*a. Let b(u) = 7*u**2 - 45*u. Let p(l) = 4*b(l) + 5*q(l). What is k in p(k) = 0?
-15, 0
Let x(y) = -y - 2. Let v be x(-4). Let o be (-3)/(-1) - (-5)/5. Suppose -v*w**2 + o*w**3 - 5*w**3 - 5*w**4 + w**2 + 7*w**4 = 0. What is w?
-1/2, 0, 1
Let i = -222 + 222. Let z(r) = 2*r**3 - 2*r**2 + 2. Let f be z(i). Suppose 0 - 2*s**f - 2/3*s**4 + 2/3*s + 2*s**3 = 0. Calculate s.
0, 1
Suppose 362*n**3 - 65*n**2 - 248*n**3 - 5*n**4 + 75*n - 189*n**3 + 70 = 0. Calculate n.
-14, -1, 1
Let w = -332 + 334. Let z(b) be the first derivative of -4 - 3/2*b**w + 0*b - 2*b**3 - 3/4*b**4. Solve z(y) = 0 for y.
-1, 0
Let c(k) be the second derivative of k**5/80 - k**4/6 - 5*k**3/6 - 513*k. Factor c(i).
i*(i - 10)*(i + 2)/4
Let z(i) be the first derivative of 2*i**3/21 + 16*i**2/7 - 90. Factor z(r).
2*r*(r + 16)/7
Let d(v) be the third derivative of v**7/11340 - v**6/1620 + v**5/540 - 11*v**4/12 - 18*v**2. Let a(q) be the second derivative of d(q). Factor a(y).
2*(y - 1)**2/9
Let l(s) be the first derivative of -4/3*s**3 + 28*s + 10 - 12*s**2. Determine m, given that l(m) = 0.
-7, 1
Factor -6348 - 21/2*f**3 - 22494*f - 969*f**2.
-3*(f + 46)**2*(7*f + 2)/2
Let p(g) be the first derivative of -g**5/240 - g**4/48 + 11*g**2/2 + 10. Let q(t) be the second derivative of p(t). Solve q(b) = 0.
-2, 0
Let k(n) be the second derivative of n**7/840 - n**6/240 - n**5/20 + n**4/12 + 9*n. Let r(w) be the third derivative of k(w). Factor r(x).
3*(x - 2)*(x + 1)
Let n(c) = -c + 4. Let j be n(0). Let z be j/8*(2 + 2). Factor p + 0*p - 2*p**z + 0*p**2 + p.
-2*p*(p - 1)
Let f be 0/(3/2*(-74)/37). Factor f*g + 1/3*g**2 - 4/3.
(g - 2)*(g + 2)/3
Let 179*v**2 - 71*v - 8*v**3 - 64 - 250*v**2 - 17*v + 147*v**2 = 0. Calculate v.
-1/2, 2, 8
Let l(i) be the first derivative of -5*i**4/2 + 62*i**3 - 2376*i**2/5 + 3872*i/5 + 329. Find a such that l(a) = 0.
1, 44/5
Let a(x) = -x**4 + x**3 + x**2 - 2*x. Let l(s) = 6*s**4 + 12*s**3 - 10*s - 6. Let w(g) = 4*a(g) + 2*l(g). Let w(z) = 0. Calculate z.
-3, -1, -1/2, 1
Let n(b) be the third derivative of -b**8/504 - 8*b**7/315 - b**6/10 - 2*b**5/45 + 19*b**4/36 + 4*b**3/3 - 8*b**2 - 2. Suppose n(c) = 0. Calculate c.
-4, -3, -1, 1
Let r = 929/4140 - 1/460. What is d in 4/9*d**2 + r - 2/3*d = 0?
1/2, 1
Let w(t) = t**3 - t + 1. Let x(r) = -r**4 + 17*r**3 - 33*r**2 - 115*r - 61. Let f(i) = 3*w(i) - x(i). Factor f(a).
(a - 8)**2*(a + 1)**2
Factor 24 + 15*w**3 + 5*w**2 - 44*w + 2*w**5 - 16*w**2 + 25*w**2 - 11*w**4.
(w - 2)**3*(w - 1)*(2*w + 3)
Let 27*s + 4*s**2 + 0*s**2 + 0*s**2 + 21*s + 79 - 35 = 0. What is s?
-11, -1
Factor -4*i**2 + 96*i + 104*i - 198*i + 2*i**3.
2*i*(i - 1)**2
Let c(x) be the second derivative of 43*x + 0 - 1/15*x**5 + 1/15*x**6 + 0*x**2 + 0*x**3 + 0*x**4 - 1/63*x**7. Solve c(u) = 0.
0, 1, 2
Let j(z) be the third derivative of z**7/1260 + z**6/144 + z**5/45 + z**4/36 - 538*z**2. Factor j(v).
v*(v + 1)*(v + 2)**2/6
Suppose 7*f = f + 12. Factor 3*c + 60*c**f + 3 - 1 - 5.
3*(4*c + 1)*(5*c - 1)
Let x(s) = -5*s**2 - s**3 + 9*s**2 + 6*s + 2*s**3 + 5*s**2 - 14. Let d be x(-8). Suppose 1/4*h**4 - 1/4*h**d - 1/4*h**3 + 1/4*h + 0 = 0. Calculate h.
-1, 0, 1
Suppose 2*t = 25 - 21. Solve -9*x + 2*x**2 + 8 + x - t*x + 2*x = 0.
2
Let z be (2/16 + (-10)/80)/(0 + -5). What is m in 0 + z*m**2 + 0*m + 4/3*m**4 - 4/3*m**3 = 0?
0, 1
Let k be 24/(-12) + 11/5. Let p(j) be the first derivative of -1 - k*j**3 + 3/10*j**2 + 1/20*j**4 - 1/5*j. Find o such that p(o) = 0.
1
Let a(y) be the second derivative of -y**4/12 + y**3 - 5*y**2/2 + 3*y + 4. Factor a(r).
-(r - 5)*(r - 1)
Let v(q) be the third derivative of 1/30*q**6 + 0*q**3 - 9*q**2 + 1/15*q**5 + 0*q - 1/3*q**4 + 0. Factor v(c).
4*c*(c - 1)*(c + 2)
Let m(k) = -8*k**3 - 4*k**2 + 100*k - 123. Let u(b) = -15*b**3 - 10*b**2 + 200*b - 245. Let l(h) = -5*m(h) + 3*u(h). Factor l(w).
-5*(w - 2)**2*(w + 6)
Let n = 284 - 25559/90. Let s(y) be the third derivative of n*y**5 + 5*y**2 + 1/180*y**6 + 0*y + 0*y**4 + 0*y**3 + 0. Factor s(d).
2*d**2*(d + 1)/3
Let l(b) = -b + 9. Let j = -4 + 11. Let k be l(j). Factor y**2 - 1 + y**2 - 3 + k*y.
2*(y - 1)*(y + 2)
Let g(n) be the second derivative of 5*n**7/42 + n**6/2 - 5*n**5/4 - 5*n**4/4 + 10*n**3/3 + 162*n + 1. Determine v, given that g(v) = 0.
-4, -1, 0, 1
Let b be ((-12)/(-38))/(6*(-4)/16). Let x = 3/76 - b. Factor 0 + 1/4*s**3 + 1/2*s**2 + x*s.
s*(s + 1)**2/4
Let y = 245/738 + 1/738. Factor -y*n**3 + 0 + 2/3*n**2 - 1/3*n.
-n*(n - 1)**2/3
Let i(o) be the first derivative of -o**4/42 + 10*o**3/21 - 25*o**2/7 - 21*o - 28. Let q(x) be the first derivative of i(x). Factor q(g).
-2*(g - 5)**2/7
Let d be (-8)/(-6)*(-102)/(-476). Factor d*m**2 - 2/7 + 0*m.
2*(m - 1)*(m + 1)/7
Let n(m) be the first derivative of m**4/24 - 11*m**3/9 - 23*m**2/12 + 57. What is w in n(w) = 0?
-1, 0, 23
Let n(t) be the third derivative of t**6/360 - t**5/30 + t**4/6 + t**3 - 9*t**2. Let c(a) be the first derivative of n(a). Determine k, given that c(k) = 0.
2
Let z(v) be the second derivative of v**5/5 + 16*v**4/3 + 160*v**3/3 + 256*v**2 - 153*v. Factor z(o).
4*(o + 4)**2*(o + 8)
Determine o so that 0*o**2 + 12/5*o**3 + 0*o + 3/5*o**4 + 0 = 0.
-4, 0
Suppose 12 = 10*a - 7*a. Let h(k) be the first derivative of 0*k**a - 1/10*k**5 - 1/24*k**6 + 0*k + 1/6*k**3 + 4 + 1/8*k**2. Solve h(w) = 0 for w.
-1, 0, 1
Let n(p) = 2*p**3 - p**2 - 2*p - 1. Let d(r) = 9*r**3 - 8*r**2 - 3*r - 6. Let k(c) = -d(c) + 4*n(c). Solve k(v) = 0.
1, 2
Let z be (-8)/7 - (-78)/56. Let y(a) be the third derivative of 1/20*a**5 + 0*a + 0 + 2/3*a**3 + z*a**4 + 6*a**2 + 1/240*a**6. Factor y(j).
(j + 2)**3/2
Let p(o) be the third derivative of -o**5/60 + 7*o**4/8 - 10*o**3/3 - 2*o**2. Let p(s) = 0. What is s?
1, 20
Let -2/5*i**2 - 464/5*i - 26912/5 = 0. What is i?
-116
Let g be 1/(-2)*(-54)/2. Let z(c) be the second derivative of -5*c - 1/4*c**4 + 3*c**3 - g*c**2 + 0. Solve z(k) = 0.
3
Let r = -5868/7 + 840. Let g = 7621 - 53339/7. Let 16/7 + 10/7*p**3 - r*p**2 - 2/7*p**4 - g*p = 0. Calculate p.
-1, 2
Suppose -4*a + 10 = -4*f - 2*a, a = -f + 5. Let v(d) be the second derivative of -3/10*d**5 - 2/15*d**2 + 7/45*d**3 + f + 2*d + 2/15*d**4. Factor v(o).
-2*(3*o - 1)**2*(5*o + 2)/15
Let j(l) be the second derivative of l**4/54 + 32*l**3/27 + 256*l**2/9 + 23*l - 3. Factor j(d).
2*(d + 16)**2/9
Let o(m) be the first derivative of 3*m**5/5 + 24*m**4 + 90*m**3 + 132*m**2 + 87*m + 41. Solve o(v) = 0 for v.
-29, -1
Let d(p) be the third derivative of 2*p**7/735 - p**6/35 - 3*p**5/35 + p**4/3 - 141*p**2. Let d(w) = 0. Calculate w.
-2, 0, 1, 7
Let m(r) = r**2 - 31*r - 63. Let w be -3*(99/15)/3*-5. Let a be m(w). Factor 0 - 2/3*l**4 + 4/3*l**2 + 0*l + 2/3*l**a.
-2*l**2*(l - 2)*(l + 1)/3
Let q be -1 + (279/28)/9. Let x = q - -103/84. Find k, given that 40/3*k - 8/3 - 14*k**2 + 14/3*k**4 - x*k**3 = 0.
-2, 2/7, 1
Suppose -12 = -4*v - 2*i, 4*i = -0*v - v + 3. What is p in 17 - 15*p**5 - 37*p**3 + v - 55*p**4 + 42*p + 35*p**2 - 8*p**3 + 18*p = 0?
-2, -1, -2/3, 1
Suppose -3*b + 35 = -4*j, -5*b + j + 27 = -3. Suppose 9 + 31 = 4*t + 5*q, -41 = -b*t - 4*q. Find p such that 34*p**t + 6*p**3 + 2*p - 37*p**5 - 5*p = 0.
-1, 0, 1
Let a(s) be the second derivative of 15*s**5/4 + 65*s**4/6 + 35*s**3/6 - 10*s**2 - 171*s. Solve a(o) = 0.
-1, 4/15
Let u(q) be the first derivative of 3*q**5/10 - 21*q**4/8 - 396. What is j in u(j) = 0?
0, 7
Factor -177/4*k - 117/8 - 3/8*k**4 - 63/4*k**3 - 45*k**2.
-3*(k + 1)**3*(k + 39)/8
Let y = 51 + -46. Let u be ((2/y)/2)/(46/575). Find z, given that 1/2*z**4 - u*z**3 + 9/2*z**2 + 1 - 7/2*z = 0.
1, 2
Let z be (9 + -14 + 5)/(-2). Let k(a) be the third derivative of 0*a**4 + 5*a**2 + 1/3*a**3 - 1/30*a**5 + 0 + z*a. Suppose k(y) = 0. Calculate y.
-1, 1
Let w(j) be the first derivative of j**5/80 - j**4/48 - j**3/24 + j**2/8 - 3*j + 6. Let d(b) be the first derivative of w(b). Factor d(h).
(h - 1)**2*(h + 1)/4
Let j(m) = 14*m + 34. Let t(b) = -b**2 + 13*b + 35. Suppose 0 = -2*o - 3*o + 20. Let r(u) = o*t(u) - 6*j(u). Solve r(d) = 0.
-4
Factor -56*q**3 - 5 - 107*q**2 + 54*q**3 + q**4 + 95*q**2 - 14*q.
(q - 5)*(q + 1)**3
Let i be 15*(3 - (-5)/(-3)). Suppose -17*q - 6*q**5 + 9*q**5 - 20*q**4 + i*q**2 + 15*q**3 - 3*q + 2*q**5 = 0. What is q?
-1, 0, 1, 2
Factor -146/5*q - 42/5 - 62/5*q**2