h*(h - 522)**2/2
Let t(n) = 20*n + 62. Let u be t(-3). Let b = 26 + 5. Suppose -b*r + 51*r - 6*r**u - 5*r**4 - 34*r**2 + 38*r**3 - 13*r**3 = 0. What is r?
0, 1, 2
Let f(t) = -t**3 + 5*t**2 - 6*t + 2. Let w be f(3). Factor 2*n**4 + 0*n - 4*n**4 + w*n**2 - 22*n**5 + n + 21*n**5.
-n*(n - 1)*(n + 1)**3
Let t(m) = -2*m**2 + 11*m + 305. Let h(x) = -x + 3. Let n(y) = -22*h(y) - 2*t(y). Let n(v) = 0. What is v?
-13, 13
Let b be (-90)/225 + 27*2/10. Let n = 1213/15 + -196/5. Factor -20/3 - 485/3*r**2 - n*r**b - 475/3*r**4 - 695/3*r**3 - 160/3*r.
-5*(r + 1)**3*(5*r + 2)**2/3
Find u such that -56*u**5 + 20469*u**2 - 22*u**5 + 27830*u**3 + 14943*u**4 - 25*u**5 + 4885*u**3 + 2730*u + 70*u**5 = 0.
-1, -2/11, 0, 455
Let k be 56/70*130/52. Let d(v) be the second derivative of -3/10*v**5 - 3/10*v**6 + 0*v**3 + 0*v**4 + 0*v**k - 1/14*v**7 + 5*v + 0. Solve d(c) = 0 for c.
-2, -1, 0
Let d = -112/23 - -1367/276. Let t(p) be the first derivative of d*p**4 + 1/9*p**3 + 13 - 1/15*p**5 - 1/6*p**2 + 0*p. Factor t(q).
-q*(q - 1)**2*(q + 1)/3
Let o = 38 - 36. Factor -55474 - 2*y**o + 55474 - 32*y.
-2*y*(y + 16)
Let o be ((-64)/(-48))/((-2)/(-9)) + -4. Suppose -l - k + o = k, -2*k - 10 = -5*l. Determine d so that 2/3*d - 2*d**3 - 4/3*d**l + 0 = 0.
-1, 0, 1/3
Let g = -168 - -192. Let 3*p**5 + g*p**3 + p**2 + 7*p**4 + 2*p**4 + 11*p**2 + 6*p**4 = 0. Calculate p.
-2, -1, 0
Let r be (104/6)/2 + (-3 - 4). Let h(s) be the first derivative of 5*s - 5 - 5*s**2 + r*s**3. Solve h(j) = 0 for j.
1
Let 675*f + 5/2*f**2 + 0 = 0. Calculate f.
-270, 0
Let s = -1105 + 1110. Let f be (-1987)/(-28) - (-6)/105*s. Let 0 - 75/4*j**4 + 9*j + f*j**3 - 48*j**2 = 0. Calculate j.
0, 2/5, 3
Let u = 0 + 2. Let o(v) = 37*v + 1159. Let b be o(-31). Factor -b*l + u - 2*l**2 - 3*l**2 + 34 + 6*l**2.
(l - 6)**2
Let q(v) be the first derivative of -v**6/1200 + v**5/150 - 58*v**2 + 124. Let x(d) be the second derivative of q(d). Suppose x(i) = 0. Calculate i.
0, 4
Let t(y) = -y**3 + 5*y**2 - 2*y - 8. Let q be t(4). Suppose 8 = s + 2*x, 2*x + 0*x - 8 = -3*s. Solve -5/3*h**3 - 5/3*h**4 + q*h**2 + 0 + s*h = 0.
-1, 0
Let c = 104 - 98. Let w be (-4)/12*(c/4 - 3). Factor -w*y + 0*y**2 - 1/3 + 1/6*y**3.
(y - 2)*(y + 1)**2/6
Let o(d) be the second derivative of 127*d + 1/5*d**6 - 33/2*d**3 + 0 - 2*d**4 - 1/14*d**7 + 3/2*d**5 - 27*d**2. Determine x so that o(x) = 0.
-2, -1, 3
Let u(t) be the first derivative of 12*t + 84 - 14*t**2 - 40/3*t**3. Find g, given that u(g) = 0.
-1, 3/10
Let l = 73 - 68. Let v be -2 + (l - (0 + 1)). Factor -4*t**v - 2*t**4 + 6*t**3 - 61*t + 34*t + 27*t.
-2*t**2*(t - 2)*(t - 1)
Let j(s) be the second derivative of -s**4/22 - 102*s**3/11 - 2256*s**2/11 + 2*s - 437. Suppose j(g) = 0. What is g?
-94, -8
Factor 66*g**2 + 2254*g**2 - 271425*g + 533610 - 10099*g**3 + 10094*g**3.
-5*(g - 231)**2*(g - 2)
Let 98/13*g + 0 + 2/13*g**2 = 0. Calculate g.
-49, 0
Let a be 104/(-78)*(5 - 17)/(-1 + 8). Solve 6/7*l**2 + a - 4*l = 0.
2/3, 4
Let l(n) be the first derivative of -4*n**3/27 + 56*n**2/9 + 80*n/3 + 265. Factor l(f).
-4*(f - 30)*(f + 2)/9
Let v(w) be the second derivative of w**7/21 - 12*w**6/5 + 51*w**5/5 - 50*w**4/3 + 11*w**3 - 6047*w. Factor v(l).
2*l*(l - 33)*(l - 1)**3
Suppose 0*h - 2*a - 640 = -3*h, 0 = -h + a + 215. Suppose 3*g + 97 = n, -5*n + h + 307 = g. Let n*i + 15*i**3 - 103*i - 5*i**4 - 10*i**2 = 0. What is i?
0, 1, 2
Find y such that 2047*y**2 - 4099*y**2 + 2*y**4 + 15*y**3 + 0*y**4 + 2048*y**2 - 60*y - y**4 = 0.
-15, -2, 0, 2
Let s(l) be the second derivative of -l**4/28 + 355*l**3/14 + 534*l**2/7 - 11*l + 36. Factor s(r).
-3*(r - 356)*(r + 1)/7
Let i(d) = 6*d**3 - 342*d**2 + 369*d + 3. Let l(z) = 11*z**3 - 694*z**2 + 738*z + 5. Let f(t) = 5*i(t) - 3*l(t). Let f(s) = 0. What is s?
0, 1, 123
Let q be 60/304 + 2/(-418)*-11. Determine o so that q*o**2 + 7/2*o + 13/4 = 0.
-13, -1
Let y(g) be the third derivative of 190969*g**5/210 + 437*g**4/21 + 4*g**3/21 + 967*g**2. Determine j so that y(j) = 0.
-2/437
Let t(j) be the second derivative of j**6/135 - j**5/18 - j**4/27 + 8*j**3/9 - 55*j + 35. Determine h, given that t(h) = 0.
-2, 0, 3, 4
Let f = 406435 - 1219303/3. What is g in -1 - 1/9*g**2 - f*g = 0?
-3
Suppose 2*j = j + 4*o + 11, -3*o - 4 = -5*j. Let d be (172/(-2))/(-2) - j. Solve -2*c**3 - d*c**2 + 83*c**2 - 47*c**2 + 10*c = 0.
-5, 0, 1
Let c be ((-16)/(-48) - (-4)/(-3)) + 38/8. Let j(a) be the first derivative of c*a**4 + 5/3*a**3 - 1 - a**5 + 0*a - 15/2*a**2. Factor j(z).
-5*z*(z - 3)*(z - 1)*(z + 1)
Let k(z) = -63*z**3 + 138*z**2 + 39*z. Let s(m) = 32*m**3 - 72*m**2 - 20*m. Let v(u) = 4*k(u) + 7*s(u). Factor v(g).
-4*g*(g - 2)*(7*g + 2)
Determine c, given that 20*c + 4*c**3 + 44*c**2 - 1425 + 1028 - 1871 - 200*c = 0.
-9, 7
Let a(x) be the second derivative of 3*x**2 + 2 - 5*x + 1/2*x**4 + 11/6*x**3 + 1/20*x**5. Let a(o) = 0. What is o?
-3, -2, -1
Let m be ((-30)/25)/(24/(-30)). Let a be (-80)/8*((-30)/(-25))/(-3). Find w such that -3/2*w**3 - 3/2*w**a + 3/2*w**2 + 0 + m*w = 0.
-1, 0, 1
Let x(h) be the second derivative of 5*h**4/12 - 105*h**3 - 635*h**2/2 - 1902*h. Determine k so that x(k) = 0.
-1, 127
Let x = -3203 + 3208. Let p(b) be the third derivative of -1/35*b**7 + 0*b**3 + 1/112*b**8 + 0 + 1/10*b**x + 0*b + 0*b**6 - 7*b**2 - 1/8*b**4. Factor p(z).
3*z*(z - 1)**3*(z + 1)
Solve -80/3*m**3 + 1/9*m**4 + 241/9 - 242/9*m**2 + 80/3*m = 0.
-1, 1, 241
Let a = 196 + -192. Let -17*d**4 - 3*d**2 + 26*d**a - 12*d**4 + 21*d**3 - 15*d**2 = 0. What is d?
0, 1, 6
Factor 11292/7*k**2 + 10625772/7*k + 4/7*k**3 + 3332950484/7.
4*(k + 941)**3/7
Let i(z) be the second derivative of 1/10*z**5 - 137*z - 1/4*z**4 + 0*z**2 + 1/120*z**6 - 1/168*z**7 + 0 + 0*z**3. Factor i(p).
-p**2*(p - 2)**2*(p + 3)/4
Let x be 86/7 - -9*(-11)/9 - 1. Factor -6/7 + 4/7*z**2 + 8/7*z**3 - 8/7*z + x*z**4.
2*(z - 1)*(z + 1)**2*(z + 3)/7
Let n = 993 - 1008. Let r be (425/n)/5 - -6. Solve -r + 8/3*k**3 - 1/6*k**2 + 2*k**4 - 7/6*k = 0.
-1, -1/2, 2/3
Solve 113*o**3 - 4*o**5 - 259*o**4 + 195*o**4 + 0*o**5 + 64*o**2 - 54*o**3 - 55*o**3 = 0 for o.
-16, -1, 0, 1
Factor -552 + 60*m**3 - m**3 + 249*m**2 + m**4 + 552 - 29*m**2.
m**2*(m + 4)*(m + 55)
Let v(m) = 6*m**5 + 9*m**4 - 10*m**3 - 53*m**2 - 40*m + 15. Let o(w) = -7*w**5 - 9*w**4 + 9*w**3 + 53*w**2 + 42*w - 18. Let i(f) = 5*o(f) + 6*v(f). Factor i(k).
k*(k - 3)*(k + 1)**2*(k + 10)
Let w = -217 - -219. Suppose 6 = -3*a + 12. What is v in -v - 60*v**2 + 120*v**w + 7*v - 45*v**a = 0?
-2/5, 0
Let r = -399/389 + 102327/778. Solve 45*h**3 - 18*h**4 - r*h + 42*h**2 - 108 + 3/2*h**5 = 0 for h.
-1, 3, 8
Let b(n) be the third derivative of -n**5/240 - 5*n**4/8 - 27*n**3/2 - 4*n**2 - 367*n. Let b(m) = 0. Calculate m.
-54, -6
Let w(y) = 18*y**2 + 5875*y. Let b(i) = -10*i**2 - 2945*i. Let j(d) = -5*b(d) - 3*w(d). Find f such that j(f) = 0.
-725, 0
Let b(z) = 2*z**2 + 10*z - 25. Let p = -3 + 6. Let o(v) = -3691*v - v**2 + 3691*v. Let c(d) = p*o(d) + b(d). Factor c(q).
-(q - 5)**2
Let n = 75 + -50. Let i(j) = j**3 - 4*j**2 + 3*j + 3. Let r be i(4). Solve -5*l**4 - 4*l**3 - n*l + 5*l**2 + r*l**5 - 11*l**3 + 25*l = 0.
-1, 0, 1/3, 1
Factor 6068*w**3 - 5246*w**3 + 1653*w**2 - 2*w**4 - 40*w + 868*w - w**4.
-3*w*(w - 276)*(w + 1)**2
Let y(w) be the first derivative of -2*w**3/45 - 154*w**2/5 - 2187. Factor y(c).
-2*c*(c + 462)/15
Let k be -18 + 13 - -11 - 1*4. Let j be 9/(-36) + 14/24. Determine t, given that 0 - j*t**k + 2/3*t = 0.
0, 2
Let i(k) be the second derivative of -5*k**4/12 - 55*k**3/2 - 500*k**2 + 7672*k + 1. Find b, given that i(b) = 0.
-25, -8
Let s be 57/38*(4 - (-20)/(-6))*30/35. Find a such that 8/7*a - s*a**3 + 2/7*a**5 + 0 + 8/7*a**2 - 4/7*a**4 = 0.
-1, 0, 2
Solve -4*j**5 + 28*j + 110*j**2 + 13598*j**4 - 10*j**2 - 92*j + 44*j**2 - 13562*j**4 - 112*j**3 = 0.
0, 1, 2, 4
Find p, given that 90*p**2 + 1000/7 + 2/7*p**4 + 61/7*p**3 + 2300/7*p = 0.
-10, -1/2
Factor -14*p**3 + 2862*p**2 + 96472296 + 8*p**3 - 272317*p + 3*p**3 - 395903*p - 241896*p.
-3*(p - 318)**3
Let v be (-1015)/(-525) + (-15)/9. Let r(p) be the first derivative of 4/5*p - 6 + 4/5*p**2 + v*p**3. What is a in r(a) = 0?
-1
Suppose -5*u = 25, -2*p + 34 + 11 = -5*u. Find x, given that p*x**3 + 2*x**2 - 5*x**4 + 2*x**2 + 6*x**2 - 15*x**2 = 0.
0, 1
Factor 40/3*f**2 + 1/9*f**4 - 16*f + 23/9*f**3 + 0.
f*(f - 1)*(f + 12)*