*3 + 6*p**2 - 15*p - 3. Let m(g) = j*s(g) - 15*r(g). Factor m(y).
-3*(y - 1)**2*(y + 1)**2
Let l = 5 - -1. Suppose 2*o**2 - 2 - 4 + l = 0. Calculate o.
0
Let f = -3/118 + 1083/826. Let q(m) be the first derivative of f*m**2 - 8 + 1/7*m**3 + 27/7*m. Suppose q(p) = 0. Calculate p.
-3
Let h = 54 - 51. Let j be (-1 - h) + (6 - 14) + 12. What is r in 0 + 1/3*r**5 + 1/3*r**4 + j*r + 0*r**2 + 0*r**3 = 0?
-1, 0
Suppose -5*n - 446 = 159. Let o = -57 - n. Solve -o*y + 2*y**2 + 58*y + 3 + 1 = 0.
1, 2
Factor -4/3*n**2 + 80 + 68/3*n.
-4*(n - 20)*(n + 3)/3
Let y(z) be the second derivative of -z**6/18 + z**5/4 + 55*z**4/36 - 5*z**3/6 - 25*z**2/3 + 88*z. Suppose y(g) = 0. Calculate g.
-2, -1, 1, 5
Suppose -59 = -5*n - 14. Let z be ((n/25)/1)/(6/10). Find t, given that z*t**3 + 0 + 6/5*t - 9/5*t**2 = 0.
0, 1, 2
Let r(x) be the third derivative of 5*x**8/336 + x**7/42 - 19*x**6/12 + 31*x**5/3 - 95*x**4/3 + 160*x**3/3 + 260*x**2. What is z in r(z) = 0?
-8, 1, 2
Let o be (-150)/(-18) + -4 + -3. Determine z so that o*z - 4/3*z**3 + 0 + 2*z**2 = 0.
-1/2, 0, 2
Let a(y) = -y**2 + 1. Let m = 28 + -26. Let s(j) = 13*j**2 - 32*j + 9. Let c(o) = m*a(o) - 2*s(o). Let c(h) = 0. What is h?
2/7, 2
Factor 5*u**3 + 169*u**2 - 33*u**2 - 120*u - 144*u**2 - 107*u**2.
5*u*(u - 24)*(u + 1)
Let g = -1309 - -1309. Suppose 1/3*x + g - 1/3*x**2 = 0. Calculate x.
0, 1
Let q be -11 - -11 - 6/(1 - 3). Find j, given that 0*j**2 - 5*j**2 + 5*j + j - 5*j**q + 4*j = 0.
-2, 0, 1
Let z = -631/10 + 183/5. Let n = z + 27. Factor -9/2*q**2 + n*q**3 - 27/2 + 27/2*q.
(q - 3)**3/2
Factor 3*f**4 + 3/2*f**5 + 0*f**2 + 0 + 3/2*f**3 + 0*f.
3*f**3*(f + 1)**2/2
Let v = 3 - -7. Let h be (-1)/(-1 + 8/v). Factor -27 + 0*i**2 + i**2 - 5*i**2 + i**3 - h*i**2 + 27*i.
(i - 3)**3
Suppose g**5 + 0*g - g**3 + 1/2*g**4 + 0 - 1/2*g**2 = 0. Calculate g.
-1, -1/2, 0, 1
Let z(y) be the second derivative of -y**4/8 - 13*y**3/4 - 33*y**2/2 - 158*y + 1. Factor z(l).
-3*(l + 2)*(l + 11)/2
Let j = -1100 + 1103. Factor 0*r + 0 + 0*r**2 - 1/3*r**j - r**4 - 2/3*r**5.
-r**3*(r + 1)*(2*r + 1)/3
Let d(w) be the second derivative of -2*w**5/5 - 31*w**4/3 - 224*w**3/3 + 128*w**2 - 16*w - 5. Find u such that d(u) = 0.
-8, 1/2
Find y such that y**3 + y**3 - 1306*y - 3*y**3 + 101*y**2 - 5*y**2 - 1766*y + 32768 = 0.
32
Let m(c) be the first derivative of 2*c**6/15 - c**5/5 - c**4/3 + 2*c**3/3 - 5*c - 14. Let w(b) be the first derivative of m(b). Let w(a) = 0. What is a?
-1, 0, 1
Let c(h) = -3*h**4 + 7*h**3 - 43*h**2 - 93*h - 66. Let q(a) = -a**4 + 4*a**3 - 21*a**2 - 46*a - 32. Let m(s) = -6*c(s) + 13*q(s). Factor m(z).
5*(z - 2)*(z + 1)**2*(z + 2)
Suppose 5 = 2*t - 3*m + 8, -4*t - 2*m + 18 = 0. Factor -4 - 9*g**2 + g**3 + 4*g + 10*g**2 - 2*g**t.
-(g - 2)*(g - 1)*(g + 2)
Suppose 17 + 11 = 4*g + 5*d, 0 = g - 3*d + 10. Suppose 5*v - 22 = -l, -6*v = -v - 20. Factor 1 - 1 - 2*k**2 + l + g*k + 2.
-2*(k - 2)*(k + 1)
Let s(q) be the first derivative of -q**5/110 - q**4/22 - 2*q**3/33 - 45*q - 19. Let n(o) be the first derivative of s(o). Factor n(b).
-2*b*(b + 1)*(b + 2)/11
Let i(z) be the second derivative of -z**6/270 - z**5/18 - z**4/9 + 4*z**3/3 - 59*z. Solve i(g) = 0 for g.
-6, 0, 2
Let o(s) be the first derivative of -s**3/18 + 3*s**2/4 - 3*s + 4. Factor o(v).
-(v - 6)*(v - 3)/6
What is s in 0 + 2/5*s**5 + 4/5*s**2 + 0*s - 4/5*s**4 - 2/5*s**3 = 0?
-1, 0, 1, 2
Factor 3/4 - 7/2*a**2 - 11/4*a.
-(a + 1)*(14*a - 3)/4
Suppose 8*w = -51 + 67. Let l(s) be the first derivative of -7/26*s**4 + 10/39*s**3 - 9 + 0*s + 2/13*s**w. Suppose l(f) = 0. Calculate f.
-2/7, 0, 1
Let o(q) be the second derivative of 5*q**7/42 + 5*q**6/6 - 9*q**5/4 - 85*q**4/12 + 20*q**3/3 + 30*q**2 - 186*q. Find h such that o(h) = 0.
-6, -1, 1, 2
Let h = -7 - -9. Suppose 0 = -h*g + 5*g - 24. Factor -x + 13*x**2 + g*x**2 - 13 + 3*x**3 + 46*x + 40.
3*(x + 1)*(x + 3)**2
Let x(w) = 85*w - 253. Let f be x(3). Solve 0 + 5/4*m**3 + 0*m - 15/4*m**f = 0 for m.
0, 3
Let x be -1 + 5/(-35)*1912. Let h = 277 + x. Suppose -4*q**2 + h*q + 8/7 = 0. Calculate q.
-2/7, 1
Let t(i) = 136*i**3 - 2*i + 3. Let z be t(1). Let x = -137 + z. Factor -r**3 + 0*r - 1/3*r**5 - r**4 + x - 1/3*r**2.
-r**2*(r + 1)**3/3
Factor 5*a**4 + 5*a**2 + 6*a**3 + 16*a**4 + 9*a**3 - 11*a**4.
5*a**2*(a + 1)*(2*a + 1)
Factor 2*d**4 + 0*d**3 - 2*d**5 - 135*d**2 + 2*d**3 + 133*d**2.
-2*d**2*(d - 1)**2*(d + 1)
Suppose 3*o**5 + 183*o**2 - 3*o**5 - 7*o**4 + 16 - 6*o**3 + 6*o**5 - 175*o**2 - 17 = 0. What is o?
-1, -1/3, 1/2, 1
Let r(a) be the third derivative of 5/78*a**4 + 0 + 0*a - 25/39*a**3 - 13*a**2 - 1/390*a**5. What is f in r(f) = 0?
5
Let h(s) be the third derivative of 11*s**6/120 + s**5/30 - 11*s**4/24 - s**3/3 - 2*s**2 - 35*s. Determine x so that h(x) = 0.
-1, -2/11, 1
Let 5/2*f - 5/2*f**3 - 3/2*f**2 + 2 - 1/2*f**4 = 0. Calculate f.
-4, -1, 1
Let i = -4 + 65. Let n = 63 - i. Factor -1/2*j**n - j - 1/2.
-(j + 1)**2/2
Let n be 1/9 - (46 + -46). Let o(m) be the first derivative of 8 + n*m**3 + 1/3*m - 1/3*m**2. Factor o(g).
(g - 1)**2/3
Let k(y) be the first derivative of 4 - 1/5*y**2 + 0*y - 21/25*y**5 - 17/10*y**4 - y**3. Find m, given that k(m) = 0.
-1, -1/3, -2/7, 0
Suppose 0 = 2*c + 6, -4*r + 4*c + 0*c + 16 = 0. Let t = 6 + -3. Determine w so that 3*w + r - t*w**2 + 3 + 2 = 0.
-1, 2
What is m in m**4 + 91 - 5*m**4 - 91 + m**5 + 3*m**3 = 0?
0, 1, 3
Let t(v) be the first derivative of -v**5/5 + 8*v**3/3 - 3*v + 6. Let s(w) be the first derivative of t(w). Determine b, given that s(b) = 0.
-2, 0, 2
Let o(s) be the third derivative of -s**5/20 - s**4/4 + 13*s**2. Let o(w) = 0. What is w?
-2, 0
Let k be (-2 + 5)/((-16)/4 + 5). Let b(o) be the first derivative of 0*o - 2*o**4 - 4/5*o**5 - 8 + 4/3*o**k + 4*o**2. Factor b(x).
-4*x*(x - 1)*(x + 1)*(x + 2)
Suppose 0 = -0*a - a - 4. Let t be 12/(-120)*10/a. Factor 1/4*v**2 + 1/4*v - t - 1/4*v**3.
-(v - 1)**2*(v + 1)/4
Let q(d) = -d + 3. Let j be q(1). Find y such that -y**2 - 5*y**4 - 5*y**2 - 4*y**j - 15*y**3 = 0.
-2, -1, 0
Factor 2/17*x**5 - 36/17*x**3 + 0*x**2 + 162/17*x + 0*x**4 + 0.
2*x*(x - 3)**2*(x + 3)**2/17
Let g be -13 + (13 + -251)/(-14). Let l(b) be the first derivative of -1/9*b**3 + 5 + 0*b + 1/15*b**5 + 0*b**g + 1/36*b**6 - 1/12*b**2. Factor l(j).
j*(j - 1)*(j + 1)**3/6
Let a be (-48)/4*1/(-4). Let k(d) be the first derivative of 0*d**2 + 2/21*d**3 + 0*d - 1/28*d**4 + a. Solve k(j) = 0 for j.
0, 2
Let x be 23/2 + ((-1309)/(-17))/(-7). Find q, given that -1/2*q**4 - 1/2*q**5 - x + q**3 + q**2 - 1/2*q = 0.
-1, 1
Let j(l) = -26*l + 55. Let t be j(2). Let m(o) be the second derivative of 1/24*o**4 + 0*o**2 - 1/12*o**t - 1/60*o**6 + 6*o + 1/40*o**5 + 0. Factor m(g).
-g*(g - 1)**2*(g + 1)/2
Solve -2 - 1/4*d**2 + 3/2*d = 0 for d.
2, 4
Let q(g) be the second derivative of -g**5/240 + g**3/24 + 7*g**2 - 11*g. Let l(r) be the first derivative of q(r). Factor l(w).
-(w - 1)*(w + 1)/4
Let w(k) be the second derivative of -k**4/4 - 6*k**3/5 - 21*k**2/10 + 384*k. Factor w(i).
-3*(i + 1)*(5*i + 7)/5
Let u be 3471/6084 + 6/(-39). Let f(t) be the second derivative of 5/3*t**3 + 0 + 0*t**2 - u*t**4 + 9*t. Factor f(s).
-5*s*(s - 2)
Suppose -10*b = 12*b - 264. Let i be 66/(-1008)*-4 - (-2)/b. Factor -15/7*z + 6/7 + 3/7*z**3 + 9/7*z**2 - i*z**4.
-3*(z - 1)**3*(z + 2)/7
Let o(i) = 4*i**2 - 3*i - 1. Let k(g) be the second derivative of -7/12*g**4 + g**2 + 5/6*g**3 + 0 + 11*g. Let s(b) = 3*k(b) + 5*o(b). Factor s(m).
-(m - 1)*(m + 1)
Let v(x) be the first derivative of -4/13*x + 4/39*x**3 + 1/13*x**2 - 1/26*x**4 + 5. Suppose v(z) = 0. Calculate z.
-1, 1, 2
Let h(z) be the third derivative of -1/20*z**5 - 8*z**3 + 0 - 16*z**2 + z**4 + 0*z. Let h(y) = 0. What is y?
4
Suppose 2*r + 3*r - 10 = 0. Let c = 194 + -190. Suppose r*d + 2*d**5 - 2*d**4 - 2*d**c - 4*d**3 + 4*d**4 = 0. Calculate d.
-1, 0, 1
Let t(a) = 2*a**4 + a**3 - a**2 - a - 1. Let p(u) = -14*u**4 - 26*u**3 - 6*u**2 + 2*u + 2. Let x(c) = -p(c) - 2*t(c). Determine m, given that x(m) = 0.
-2, -2/5, 0
Factor 903/2*s**2 - 264*s + 38 + 49/2*s**3.
(s + 19)*(7*s - 2)**2/2
Let i(a) be the second derivative of -7*a**5/120 - 4*a**4/9 + 19*a**3/36 + 5*a**2/3 + 3*a - 25. What is m in i(m) = 0?
-5, -4/7, 1
Suppose 4*b - 897 = -5*p, -5*p = -b - p + 198. Factor -10*y + 218 + 25*y**2 - b.
5*y*(5*y - 2)
Let t = -758 + 763. Let n(f) be the f