1. Suppose 2*r = 5*k - 18, -2*r + 0*r = -4*k + 16. Let 0 + j*x**k + 2/11*x = 0. What is x?
-1, 0
Let a be 30/65*(-143)/(-22). Factor -1/7*o**2 + 1/7*o**a + 0*o + 0.
o**2*(o - 1)/7
Suppose 3*y + 4*j - 38 = -8, 4*y = 5*j + 9. Suppose y*s = s + 15. Factor -n**4 - n**s + 2*n + n**2 + 2*n - 3*n.
-n*(n - 1)*(n + 1)**2
Let h = -8 - -11. Suppose -h*l = -5*l. Factor 2*t**2 + l*t**2 + 2*t**4 - 3*t**3 - t**3.
2*t**2*(t - 1)**2
Determine u so that 8*u + 1/3*u**3 + 3*u**2 + 20/3 = 0.
-5, -2
Factor -2/7*z**2 - 22/7*z + 0.
-2*z*(z + 11)/7
Let y(g) be the second derivative of g**9/1008 + g**8/1680 - g**3 - 2*g. Let q(r) be the second derivative of y(r). Factor q(b).
b**4*(3*b + 1)
Suppose -8796 = -28*n - 8656. Factor 0 - 2/3*g**2 + 2/3*g**4 - 2/3*g + 1/2*g**3 + 1/6*g**n.
g*(g - 1)*(g + 1)*(g + 2)**2/6
Let j(t) be the first derivative of 5*t**4/4 + 40*t**3/3 + 75*t**2/2 + 318. Let j(n) = 0. What is n?
-5, -3, 0
Let d(i) be the third derivative of -i**9/12096 - i**8/10080 - 7*i**5/30 - 7*i**2. Let b(u) be the third derivative of d(u). Find m such that b(m) = 0.
-2/5, 0
Let r = 25624 - 25620. Find t such that 2 + 0*t + 1/2*t**r + 0*t**3 - 5/2*t**2 = 0.
-2, -1, 1, 2
Let d(i) be the third derivative of i**5/30 + 8*i**4/3 + 256*i**3/3 - 21*i**2 - 1. Suppose d(l) = 0. Calculate l.
-16
What is f in 23*f + 10*f - 4*f - 2*f**2 - 8*f + 11 = 0?
-1/2, 11
Let s(r) = 5*r**2 - 12*r + 3. Let o(b) = 110*b**2 - 265*b + 65. Let m(f) = 2*o(f) - 45*s(f). Find a, given that m(a) = 0.
1
Let g(d) be the second derivative of -3*d + 0*d**2 + 4/5*d**3 + 2 - 1/30*d**4. Factor g(b).
-2*b*(b - 12)/5
Suppose 0 = p + 4*r - 20 - 5, 0 = 4*p - 2*r - 136. Factor u + 27*u**3 - u + 12*u**5 - 3*u + 3*u**2 + p*u**4.
3*u*(u + 1)**3*(4*u - 1)
Let a(t) be the second derivative of -75*t**7/2 - 524*t**6 + 17717*t**5/20 + 299*t**4/6 - 466*t**3/3 - 44*t**2 - 4*t + 1. Let a(x) = 0. Calculate x.
-11, -2/15, 2/7, 1
Let h(f) be the first derivative of f**6/195 + f**5/65 - 2*f**4/39 - 8*f**3/39 + 25*f + 34. Let w(k) be the first derivative of h(k). Factor w(c).
2*c*(c - 2)*(c + 2)**2/13
Let w(h) = 4*h**2 + 0*h**2 + 3 + 4*h - 2. Let a(y) = -5*y**2 - 4*y - 2. Let z = -118 + 124. Let i(c) = z*w(c) + 5*a(c). Factor i(q).
-(q - 2)**2
Let o = 1/1221 - -3659/4884. Solve 3/4*n**2 + o + 3/2*n = 0 for n.
-1
Let u(i) be the first derivative of i**4/24 + 2*i**3/9 - i**2/4 - 3*i + 199. Factor u(y).
(y - 2)*(y + 3)**2/6
Let w(t) be the third derivative of -t**6/24 + 7*t**5/6 - 295*t**4/24 + 175*t**3/3 + 831*t**2. Let w(i) = 0. Calculate i.
2, 5, 7
Let m = 7041 - 7038. Factor 0*v**2 + 4/9*v**4 + 0 + 0*v + 4/9*v**m.
4*v**3*(v + 1)/9
Let h(o) be the first derivative of 0*o + 1/5*o**4 - 2/25*o**5 - 32 + 2/15*o**3 - 2/5*o**2. Determine c, given that h(c) = 0.
-1, 0, 1, 2
Let r be 3*6/27*3. Suppose 3*u = -r*n - 2*n + 19, 4*n - 5*u = 11. Determine m so that 5/4*m**2 + 1/2 - 7/4*m**n + 9/4*m - 9/4*m**3 = 0.
-1, -2/7, 1
Suppose -2*p - 2*n + 6 = 0, 9*p - 11*p + 6 = 3*n. Let x(q) be the first derivative of 2*q**p + 1/4*q - 1 - 9/8*q**2 - q**4. Factor x(f).
-(f - 1)*(4*f - 1)**2/4
Let l = -1255/11 - -6297/55. Let 2/5*d**4 + 2/5*d**3 + 0*d - 2/5*d**5 + 0 - l*d**2 = 0. What is d?
-1, 0, 1
Solve 2/7*o**3 - 18/7*o**2 + 6 + 22/7*o = 0.
-1, 3, 7
Suppose 2*t + 16 = -2*t. Let b be (-4)/16 + (-17)/t. Find p, given that 16*p**b - 13*p**3 - p**4 - 3*p**4 + 12*p - 13*p + 6*p**2 - 4*p**5 = 0.
0, 1/2, 1
Let g(n) be the second derivative of -n**6/24 - 3*n**5/20 + 11*n**4/48 + n**3/4 + n - 119. Factor g(k).
-k*(k - 1)*(k + 3)*(5*k + 2)/4
Let q be 0/(5 + -3) + 4. Suppose -2*m**3 + 0*m**3 + 4*m**3 + m**5 - q*m**3 + m**4 = 0. Calculate m.
-2, 0, 1
Solve 0 - u**2 + 3/7*u = 0 for u.
0, 3/7
Let r(h) = 6*h**2 - 139*h + 23. Let b be r(23). Solve b - 8/3*i**2 + 7/3*i**3 - 16/3*i - 1/3*i**4 = 0 for i.
-1, 0, 4
Factor -3/7*k + 0 - 1/7*k**4 - 5/7*k**3 - k**2.
-k*(k + 1)**2*(k + 3)/7
Suppose 3*l = h - 2*h - 7, 3*l = 3*h - 27. Suppose h*q - 1 = 19. Determine v so that -10*v + v**3 + 12*v**3 + 14*v**3 - 17*v**3 + 5 - 5*v**q = 0.
-1, 1
Let f be ((-8)/(-72))/((-40)/12 - -4). Factor 1/6*u**2 + 1/3*u + f.
(u + 1)**2/6
Suppose 58*m - 238*m + 540 = 0. Let 0*p**2 + 0 + 0*p - 2/5*p**m = 0. What is p?
0
Let v(b) be the third derivative of -b**7/1260 - b**6/180 + b**5/20 - 11*b**4/12 - 15*b**2. Let z(w) be the second derivative of v(w). Factor z(m).
-2*(m - 1)*(m + 3)
Let p(b) = -3*b**2 - 10*b - 1. Let i be p(-4). Let v be ((-3)/(-2) - 1)/((-18)/i). Factor v*d**3 + 1/4*d**2 + 0 + 0*d.
d**2*(d + 1)/4
Suppose -1 = -7*v + 4*v + 2*m, 10 = 5*v + 5*m. Let h(t) = -t**2 - t + 1. Let y(x) = 118*x**2 - 47*x + 7. Let f(p) = v*y(p) - 3*h(p). Solve f(c) = 0 for c.
2/11
Suppose -401*f = -406*f. Let s(k) be the second derivative of 0*k**4 + k + f*k**2 - 1/2*k**3 + 0 + 3/20*k**5. Factor s(t).
3*t*(t - 1)*(t + 1)
Let i(h) be the second derivative of 1/4*h**2 + 0 + 1/40*h**5 + 1/4*h**3 + 9*h + 1/8*h**4. Determine w so that i(w) = 0.
-1
Let z(n) be the first derivative of -4*n**5/5 - 40*n**4 - 584*n**3 - 1520*n**2 - 1444*n - 68. Suppose z(g) = 0. What is g?
-19, -1
Let m(x) = -8*x**2 + 263*x + 308. Let p be m(34). Find j, given that 1/2*j**3 - j**p + 1 - 1/2*j = 0.
-1, 1, 2
Let u = -13 - -21. Let b = -143 - -147. Suppose -u + 0 - 1 - b*c**2 + 1 - 12*c = 0. What is c?
-2, -1
Let z be (-7542)/8*80/(-100). Let k = 757 - z. Factor k*s - 8/5 + 4/5*s**2.
2*(s + 4)*(2*s - 1)/5
Let l = 116 + -104. Factor 8*k - k**2 - 11*k**2 + l - 3*k**3 - 5*k.
-3*(k - 1)*(k + 1)*(k + 4)
Let q(x) be the second derivative of 2/7*x**2 - 1/70*x**5 + 0 + 39*x - 1/28*x**4 + 2/21*x**3 + 1/210*x**6. Factor q(j).
(j - 2)**2*(j + 1)**2/7
Let m(u) be the first derivative of -3*u**5/10 - u**4/4 + u**3/2 + 16*u - 6. Let g(j) be the first derivative of m(j). Factor g(f).
-3*f*(f + 1)*(2*f - 1)
Let w(g) be the second derivative of 3*g**5/20 + 5*g**4/2 + 9*g**3/2 - 492*g. Solve w(b) = 0.
-9, -1, 0
Let o = 12 + -8. Suppose -g = g - o. Factor 48*h**4 + 16*h**2 - 26*h**g + 24*h**3 + 13*h**2.
3*h**2*(4*h + 1)**2
Let l = -20 + 2. Let b = l + 20. Factor 2*w**b + 34*w**3 - 10*w**4 - 5*w**2 - 29*w**2 + 7*w + w.
-2*w*(w - 2)*(w - 1)*(5*w - 2)
Suppose 19*d**3 + 12*d**3 - 57*d**3 - d**4 + 23*d**3 + 4*d**2 = 0. Calculate d.
-4, 0, 1
Let q(p) = 4*p**2 - 52*p + 48. Let h(f) = 7*f**2 - 103*f + 96. Let v(u) = -6*h(u) + 10*q(u). Factor v(y).
-2*(y - 48)*(y - 1)
Let x(f) = f**3 + 1. Let m(w) = -11*w - 24*w + 15 + 10. Let d be 9 - (-24)/4 - 10. Let j(c) = d*x(c) + m(c). Determine p, given that j(p) = 0.
-3, 1, 2
Let a(o) be the second derivative of o**7/42 - 2*o**6/15 + o**5/10 + o**4/3 - o**3/2 - 911*o. Solve a(u) = 0.
-1, 0, 1, 3
Let h(s) be the first derivative of -5*s**4/4 - 35*s**3/3 + 387. Factor h(b).
-5*b**2*(b + 7)
Let i(s) be the second derivative of -s**5/160 - 227*s**4/96 - 266*s**3 + 3249*s**2/4 - 2*s - 37. Determine a so that i(a) = 0.
-114, 1
Let y(v) = -11*v**2 + 917*v - 42329. Let p(r) = 24*r**2 - 1833*r + 84661. Let k(b) = -3*p(b) - 7*y(b). Factor k(f).
5*(f - 92)**2
Factor -2/3*s**3 - 32/3*s + 0 + 16/3*s**2.
-2*s*(s - 4)**2/3
Let g be 18/8 + 11/(-44). Suppose 5*j - 13 = 4*i, g - 27 = -5*i - 2*j. Factor 2*t**3 - 3*t + 11*t**2 - 5*t**2 - 5*t**i.
-3*t*(t - 1)**2
Let y be (-2 - 1)/(-5 - -14 - 10). Solve 0*x**2 + 3/8*x - 1/8*x**y + 1/4 = 0.
-1, 2
Let m = -164 + 168. Let l(v) be the first derivative of 3/4*v**m - 5 + v**3 + 0*v - 3*v**2. Factor l(k).
3*k*(k - 1)*(k + 2)
Let g(h) be the second derivative of h**6/6 - 3*h**5/2 + 10*h**4/3 + 5*h**3 - 45*h**2/2 - 2*h - 250. Factor g(m).
5*(m - 3)**2*(m - 1)*(m + 1)
Let p(l) be the first derivative of l**3/3 + 2*l**2 - 12*l + 401. Factor p(y).
(y - 2)*(y + 6)
Let v(z) be the first derivative of z**9/15120 + z**8/840 + z**7/168 - 19*z**3/3 + 20. Let h(b) be the third derivative of v(b). Factor h(o).
o**3*(o + 5)**2/5
Let a(y) be the first derivative of -4*y**3/3 - 54*y**2 - 368*y + 876. Determine z, given that a(z) = 0.
-23, -4
Let 86/9*t + 2/9*t**2 + 28/3 = 0. What is t?
-42, -1
Let s(j) be the first derivative of 3*j**6/40 + 3*j**5/10 + j**4/2 + 17*j**3/3 + 1. Let p(w) be the third derivative of s(w). Factor p(o).
3*(3*o + 2)**2
Let t(z) be the third derivative of z**6/960 - z**5/240 - z**4/64 - 275*z**2 - 3*z. Factor t(l).
l*(l - 3)*(l + 1)/8
Let 78/5 + 22*s + 8/5*s**2 = 0. Calculate s.
-1