*6/20 + y**5/30 - 82*y**2. What is f in z(f) = 0?
-1, 0, 1/6, 1/4
Suppose 63*t - 356*t + 135 = -451. Find q, given that -20/9*q + 2/9*q**t + 50/9 = 0.
5
Let s(o) = o**5 + o**3 - o**2. Let y(f) = 15*f**5 - 30*f**4 + 15*f**3 - 6*f**2. Let r(g) = 6*s(g) - y(g). Factor r(v).
-3*v**3*(v - 3)*(3*v - 1)
Let k(v) = -7*v**3 + 40*v**2 + 55*v + 8. Let c(t) = -t**3 + t**2 + 3*t + 1. Let x(s) = 40*c(s) - 5*k(s). Suppose x(r) = 0. What is r?
-31, -1, 0
Suppose 2*d + 4*m - 1 + 5 = 0, 2*m - 6 = -3*d. Factor 3*o**4 + 3*o**d - 9*o**4 - 3*o**4 + 3*o**5.
3*o**4*(o - 2)
Let x(n) be the second derivative of 0*n**3 - 1/3*n**7 - 3/10*n**5 + 0 - 4/5*n**6 + 1/3*n**4 + 0*n**2 - 21*n. Factor x(d).
-2*d**2*(d + 1)**2*(7*d - 2)
Suppose 12*u + 4/7*u**2 + 216/7 = 0. Calculate u.
-18, -3
Let v be ((-9)/(315/14))/(26/(-195)). Find s such that -2/5*s**4 + 0 + 4/5*s**v + 6/5*s**2 + 0*s = 0.
-1, 0, 3
Let c be ((-4)/(-6))/((-10)/(-75)). Factor 6*n**3 - 4*n**3 - 7*n**3 + c*n**5.
5*n**3*(n - 1)*(n + 1)
Let k = 4 + 1. Let p(i) be the first derivative of -i**2 - 2 + i + 1/2*i**4 + 0*i**3 - 1/5*i**k. Solve p(f) = 0 for f.
-1, 1
Let k(n) = 31*n - 68. Let w be k(-6). Let j = w + 258. Find v, given that -3/2*v**j + 0 - 3/2*v**3 + 0*v + 0*v**2 = 0.
-1, 0
Let j(r) = -18*r**2 + 303*r - 831. Let g(i) = i**2 - 19*i + 52. Let u(b) = -33*g(b) - 2*j(b). Factor u(c).
3*(c - 2)*(c + 9)
Let o(i) be the second derivative of 0 + 0*i**2 - 24*i + 0*i**3 - 1/114*i**4. Determine t, given that o(t) = 0.
0
Let j be ((-35)/(-105))/(4/(-3))*-1. What is x in -1/4 - j*x**2 - 1/2*x = 0?
-1
Let s be (10/4)/(6/36). Let i be (-6)/15 + 51/s + -1. Find q, given that -2/3*q**i - 4/9 + 2*q - 8/9*q**3 = 0.
-2, 1/4, 1
Let r(s) = -2*s**2 - 43*s - 171. Let v be r(-16). Let n(g) be the third derivative of 1/96*g**4 + 0*g**3 + 1/240*g**v + 0 + 8*g**2 + 0*g. Factor n(f).
f*(f + 1)/4
Let x(s) be the third derivative of s**6/60 + 7*s**5/120 + s**4/24 - s**3/12 - 15*s**2 + s. Factor x(y).
(y + 1)**2*(4*y - 1)/2
Let v(r) be the first derivative of -r**3/15 + 4*r**2/5 + 60. Factor v(n).
-n*(n - 8)/5
Let l(x) be the first derivative of -3*x**5/5 + 13*x**4/12 + 50*x**3/9 - 4*x**2 + 439. Let l(j) = 0. What is j?
-2, 0, 4/9, 3
Let c be (-188)/9 + (-567)/(-27). Find w such that 1/3 - 2/9*w**3 - 4/9*w**2 + c*w**4 + 2/9*w = 0.
-1, 1, 3
Let f(s) be the first derivative of s**5/10 - 5*s**4/4 + 13*s**3/6 + 15*s**2 + 18*s + 54. Solve f(i) = 0.
-1, 6
Let b(x) = 7*x**3 - 403*x**2 + 21245*x - 40809. Let o(n) = 8*n**3 - 402*n**2 + 21252*n - 40810. Let r(p) = -6*b(p) + 5*o(p). Suppose r(s) = 0. Calculate s.
2, 101
Let t(n) be the first derivative of -20*n - 65/3*n**3 - n**5 + 15/2*n**4 - 24 + 30*n**2. Solve t(q) = 0 for q.
1, 2
Let z(o) be the first derivative of 0*o + 1/16*o**6 + 0*o**3 + 3/32*o**4 - 12 + 0*o**2 - 3/20*o**5. Factor z(t).
3*t**3*(t - 1)**2/8
Factor -9*i + 2 + i**2 - 2 + 3*i**4 + 14*i**3 - 5*i**3 - 4*i**4.
-i*(i - 9)*(i - 1)*(i + 1)
Let w = 52057/5 + -10411. Determine k, given that 0 - 6/5*k**2 + w*k**3 + 4/5*k = 0.
0, 1, 2
Suppose -4*w - y + 65 = 0, 4*w - y - 57 = 6. Factor 9*q + w*q - 9*q - q**2 + q**3 - 12 - 6*q**2.
(q - 3)*(q - 2)**2
Suppose 0 - 3/8*i**4 + 0*i**2 + 9/8*i**3 - 3/2*i = 0. Calculate i.
-1, 0, 2
Suppose 43/6*r**2 - 1/2*r**4 + 0 - 11/3*r**3 - 3*r = 0. What is r?
-9, 0, 2/3, 1
Let q(k) = 6*k**2 - 15*k - 5. Let b be q(3). Let j(o) be the first derivative of 1/4*o**2 - 1/12*o**3 + 1 - 1/16*o**b + 0*o. Factor j(d).
-d*(d - 1)*(d + 2)/4
Let a = -712 - -714. Let g(b) be the third derivative of 0*b**5 + 0*b + 0 - 1/48*b**4 - b**a + 0*b**3 + 1/240*b**6. Suppose g(z) = 0. What is z?
-1, 0, 1
Let b = 643/77385 + -4/1005. Let d(u) be the second derivative of 0 + b*u**7 - 2/33*u**4 + 0*u**2 + 0*u**3 + 8*u + 1/55*u**6 + 0*u**5. Factor d(l).
2*l**2*(l - 1)*(l + 2)**2/11
Let l(k) be the second derivative of 1/3*k**4 + 0*k**3 + 46*k + 0 + 0*k**5 + 0*k**2 - 2/15*k**6. Let l(w) = 0. What is w?
-1, 0, 1
Suppose -3*o + 2*w - 3*w + 13 = 0, -3*w + 3 = -3*o. Suppose y + 0*r + 8 = 4*r, 0 = -2*y + o*r - 6. Determine c, given that y - 1/5*c + 1/5*c**2 = 0.
0, 1
Let g(t) be the first derivative of 4*t**5/15 - t**4/6 + t**3/36 + 401. Factor g(u).
u**2*(4*u - 1)**2/12
Solve -7*y**2 + 12*y - 26/3*y**3 - 5/3*y**4 + 0 = 0 for y.
-3, 0, 4/5
Let r(s) be the first derivative of 2*s**5/35 - 8*s**4/7 + 4*s**3/3 + 16*s**2/7 - 30*s/7 + 21. Find o, given that r(o) = 0.
-1, 1, 15
Let u(x) be the first derivative of -5*x**3/3 - 5*x**2 - 80. Let u(o) = 0. What is o?
-2, 0
Let j(m) be the first derivative of 2*m**3/33 - 3*m**2/11 - 36*m/11 - 150. Find z, given that j(z) = 0.
-3, 6
Let o = 19 - 11. Suppose -10*b + 16 = -2*b. Let 3 + 1 + 6*x - o - b*x**2 = 0. Calculate x.
1, 2
Let a be (160/24)/(4/30). Find j, given that 22*j + 16*j - 3*j**2 - a*j = 0.
-4, 0
Let j(c) be the first derivative of -c**3/18 + 11*c**2/6 - 20*c/3 - 402. Factor j(a).
-(a - 20)*(a - 2)/6
Let o(z) be the third derivative of z**6/120 - z**5/35 - 25*z**4/168 - z**3/7 + 61*z**2. Factor o(k).
(k - 3)*(k + 1)*(7*k + 2)/7
Factor -1/7*m**2 + 15/7*m + 16/7.
-(m - 16)*(m + 1)/7
Let l(s) = 37*s**2 - 5*s + 7. Let k(h) = 19*h**2 - 2*h + 4. Suppose 0*p = p - 4. Let r(v) = p*l(v) - 7*k(v). Factor r(q).
3*q*(5*q - 2)
Suppose -4*h + 2*t - 148 = 0, 0 = 2*h - h + 5*t + 15. Let b be -6*h/45 - (7 - 3). Factor 8/3 + 8/3*c + b*c**2.
2*(c + 2)**2/3
Let z = -124/63 - -20/7. Let v(u) = 2*u**3 + 25*u**2 + 12*u + 3. Let n be v(-12). Factor 10/9*y**2 - 16/9*y + z - 2/9*y**n.
-2*(y - 2)**2*(y - 1)/9
Let v(c) = 2*c**3 + 35*c**2 + 44*c - 64. Let q be v(-16). Factor q*i**3 + 12*i + 9/2 + 9*i**2 - 3/2*i**4.
-3*(i - 3)*(i + 1)**3/2
Let f(z) = -z**2 + 94*z - 1246. Let r be f(16). Solve -2/7*c**3 - 30/7*c + r*c**2 + 18/7 = 0.
1, 3
Let g be 46/(-345) + 111/(-180) + 1. Suppose 1/4*a**2 + 5/4*a**3 - 2*a - 1/4*a**5 + 1 - g*a**4 = 0. What is a?
-2, 1
Let z(b) be the second derivative of -b**6/450 - 7*b**5/600 + b**4/60 + b**3/3 - 11*b. Let h(p) be the second derivative of z(p). Find v, given that h(v) = 0.
-2, 1/4
Let y(i) = -13*i**4 + 10*i**3. Let d(q) = -3*q**4 + 2*q**3. Suppose -2*f - 3*c = -30, -c + 19 + 33 = 3*f. Let b(g) = f*d(g) - 4*y(g). Factor b(u).
-2*u**3*(u + 2)
Let w = -96/13 - -392/39. Find b, given that b**3 - 2/3*b**2 + 1/3*b**4 - w - 4*b = 0.
-2, -1, 2
Let w(u) be the second derivative of -1/28*u**4 - 3/140*u**5 + 0 + 1/14*u**3 + 3/14*u**2 - 28*u. Factor w(y).
-3*(y - 1)*(y + 1)**2/7
Let l(w) be the third derivative of w**6/480 + 3*w**5/40 + 9*w**4/8 + 19*w**3/6 - 6*w**2. Let q(p) be the first derivative of l(p). Factor q(g).
3*(g + 6)**2/4
What is m in 6*m**3 + 20*m**4 + 5 + 30*m + 19*m**4 - 5 - 42*m**4 + 39*m**2 = 0?
-2, -1, 0, 5
Let f = 13982 - 13978. Factor 1/11*j**3 + 0*j**2 + 0*j + 0 + 1/11*j**5 - 2/11*j**f.
j**3*(j - 1)**2/11
Let l = -22 + 24. Factor 3*z**2 + 4*z**3 + 36 + 10*z - 4*z**l - 19*z**2 + 2*z.
4*(z - 3)**2*(z + 1)
Let x be (-1)/52*(-366184)/78. Let w = -658/13 + x. Let -245/6*c**5 - w*c**4 - 38/3*c**3 + 0*c - 4/3*c**2 + 0 = 0. Calculate c.
-2/5, -2/7, 0
Let i(q) = 2*q + 2. Let x be i(-1). Let y = -153 + 153. Find f such that -4/3*f**4 + 5/3*f**3 + y + x*f - 1/3*f**2 = 0.
0, 1/4, 1
Let w(a) be the second derivative of a**5/160 - a**4/32 + 3*a**2/2 + 5*a. Let g(p) be the first derivative of w(p). Solve g(v) = 0.
0, 2
Let o(d) be the first derivative of 2*d**4 - 41*d**3/3 + 34*d**2 - 36*d - 464. Suppose o(x) = 0. Calculate x.
9/8, 2
Let s(j) be the second derivative of -17/36*j**3 + 1/24*j**4 + 5/6*j**2 + 0 - 6*j. Let s(f) = 0. What is f?
2/3, 5
Let u(p) be the first derivative of -p**4/3 + 34*p**3/9 - 8*p**2/3 + 389. Factor u(h).
-2*h*(h - 8)*(2*h - 1)/3
Suppose 4*w - 31 = -11. Factor -4 - w + 10 - n**2.
-(n - 1)*(n + 1)
Let -13*p**2 + 19*p**2 - 7*p**2 + 111 - 7*p**2 - 7*p**2 - 552*p = 0. Calculate p.
-37, 1/5
Suppose 13448/15 + 2/15*f**2 - 328/15*f = 0. Calculate f.
82
Suppose 2/17*l**5 - 8/17*l**3 + 6/17*l + 4/17 - 4/17*l**2 + 0*l**4 = 0. What is l?
-1, 1, 2
Let d(z) be the third derivative of z**8/448 - z**7/40 + 9*z**6/80 - z**5/4 + z**4/4 + 2*z**2 + 170*z. Solve d(k) = 0.
0, 1, 2
Let a(z) = -z**4 + z**3 + z**2 - 2*z - 1. Let j(y) = -4*y**4 + 268*y**3 + 8454*y**2 - 8724*y - 6. Let x(r) = -12*a(r) + 2*j(r). Find h, given that x(h) = 0.
-66, 0, 1
Determine g so that 31 + 58 + 45 + 8*g - 1