e of y(h). Find t, given that o(t) = 0.
-2, 0, 2
Suppose -63*w + 59*w = -12. Find l such that 12*l**2 + 17 - w*l**3 - 33 - l**3 = 0.
-1, 2
Let s(z) = -76*z + 894. Let j be s(12). Let n(h) = -3*h + 4*h + 0*h. Let o(l) = 3*l**2 + 16*l - 6. Let c(x) = j*n(x) + 2*o(x). Suppose c(w) = 0. What is w?
-3, 2/3
Let h(r) = -95*r**2 - 727*r - 709. Let c(i) = 82*i**2 + 726*i + 710. Let m(t) = -7*c(t) - 6*h(t). Factor m(b).
-4*(b + 1)*(b + 179)
Let n(l) be the first derivative of -7*l**2 - 3/8*l**4 + 46 - 4*l**3 + 0*l + 1/10*l**5. Factor n(p).
p*(p - 7)*(p + 2)**2/2
Factor 663*h**2 + 891*h - 2*h**4 + 220 + 298*h**3 + 1151*h - 1381*h - 75*h**3 + 3*h**4.
(h + 1)**3*(h + 220)
Suppose 6*l + 54 = 15*l. Suppose -6 = -4*p + l. Suppose -p*v**2 + 491 + 0*v + 0*v - 492 - 3*v - v**3 = 0. Calculate v.
-1
Suppose -3*f + 183 - 151 = u, 2*f = 5*u + 10. What is j in -7/3*j**u + 1/3 - 2*j = 0?
-1, 1/7
Let w = 57 + -54. What is i in 38*i**2 + 2*i**w - 10*i - 8*i**3 - 2*i - 10*i**3 - 10*i**4 = 0?
-3, 0, 2/5, 1
Let j(r) be the first derivative of -r**4/4 + 7*r**3/3 + 14*r**2 + 20*r + 2282. What is l in j(l) = 0?
-2, -1, 10
Let i(d) be the second derivative of -d**5/36 + 83*d**4/72 + 17*d**3/9 - 111*d**2/2 - 190*d. Let u(s) be the first derivative of i(s). What is y in u(y) = 0?
-2/5, 17
Let m(f) be the second derivative of -f**6/165 + 111*f**5/55 - 1079*f**4/6 - 16724*f**3/11 - 51076*f**2/11 - 135*f - 1. Factor m(n).
-2*(n - 113)**2*(n + 2)**2/11
Solve -18/5*g**2 + 0 + 26/5*g**3 - 8/5*g = 0 for g.
-4/13, 0, 1
Suppose 176862 = 50*j - 44*j. Factor 2*d**3 + 0*d - 4 + 29477*d**2 - 6*d - j*d**2.
2*(d - 2)*(d + 1)**2
Factor 157/2*l - 159 + 1/2*l**2.
(l - 2)*(l + 159)/2
Let h(x) be the third derivative of 1/42*x**7 - 12*x**2 + 0*x**3 - 5/4*x**4 - 1/4*x**6 + 0 + 0*x + 11/12*x**5. Determine o so that h(o) = 0.
0, 1, 2, 3
Let w = -8055 + 5686. Let p = 9537/4 + w. Let -9 - 7/2*j**3 - 1/4*j**4 - p*j**2 - 21*j = 0. Calculate j.
-6, -1
Factor -480 - 424 + 1364*p - 12*p**2 - 263*p**3 + 0*p**4 + 4*p**4 + 258*p**3 - 447*p**3.
4*(p - 113)*(p - 1)**2*(p + 2)
Let r be (3 + 0 - -29)*183/488*2/8. Determine x so that -1/7*x**r - 6/7*x**2 + 0 + 0*x = 0.
-6, 0
Suppose -i = -14*i + 52. Suppose 5*w = -5*l + 20, -4*w - 6*l + 10 = -8*l. Factor 3/2*q**i + 0*q**2 + q**w + 0 + 1/2*q**5 + 0*q.
q**3*(q + 1)*(q + 2)/2
Let y(u) be the first derivative of 7/9*u**3 + 5/3*u**2 - 166 + 0*u + 1/12*u**4. Factor y(z).
z*(z + 2)*(z + 5)/3
Let h be 2/4*(-12)/(-3). Suppose 4*f = 5*o - 23, -h*o + 2 = 2*f - 0. Factor a + o*a**2 + 3*a + a**2 + 4*a**4 - 8*a**2 - 4*a**3.
4*a*(a - 1)**2*(a + 1)
Let t(b) = -3*b**3 - 102*b**2 + b + 36. Let f be t(-34). Let q(a) be the second derivative of 0*a**f + 2/3*a**4 + 3*a - 1/2*a**3 + 0. Solve q(d) = 0 for d.
0, 3/8
Let o(g) be the third derivative of -g**8/6720 - g**7/560 - 5*g**5/2 - 79*g**2. Let c(u) be the third derivative of o(u). Factor c(a).
-3*a*(a + 3)
Let -1661*l**2 + 815*l**2 + 824*l**2 - 10*l**3 - 4*l**3 - 3*l**3 = 0. Calculate l.
-22/17, 0
Let m(c) = -21*c**4 - 7*c**3 + 127*c**2 - 635*c - 758. Let z(n) = -4*n**4 - 2*n**3 - n**2 + n + 2. Let a(h) = m(h) - 5*z(h). Let a(u) = 0. Calculate u.
-12, -1, 8
Let r = 4429 - 57511/13. Let b be ((-76)/(-494))/((-4)/26)*(-42)/39. Determine v so that 16/13 - b*v**4 + 24/13*v + r*v**3 - 92/13*v**2 = 0.
-2/7, 1, 2
Let y(i) be the second derivative of -7*i**4/40 - 31*i**3/15 + 3*i**2/5 + 1032*i. Find g, given that y(g) = 0.
-6, 2/21
Let b be 4698/1512*(-2)/(-9). Let g(j) be the second derivative of 0 + b*j**4 - 1/21*j**3 + 5*j + 2/5*j**5 - 2/7*j**2. Solve g(u) = 0.
-1, -2/7, 1/4
Factor 14959673344/9 + 6071296/3*d + 1/9*d**3 + 2464/3*d**2.
(d + 2464)**3/9
Suppose -1101*q + 20 = -1100*q. Let j be (4/15)/(q/30). Determine l so that 8/5*l**2 + 2*l + j = 0.
-1, -1/4
Let j be -4*(12 + -29)*(-1)/(-4). Let t(u) be the first derivative of 0*u + 1/2*u**4 - 4*u**3 + j + 9*u**2. Let t(q) = 0. What is q?
0, 3
Let p = -1038537 + 5193309/5. Factor -444/5*w**2 - 66/5*w**3 - p + 2/5*w**4 - 184*w.
2*(w - 39)*(w + 2)**3/5
Let g be 1959/(-21735) + (120/(-138))/(-10). Let v = 13/126 + g. What is m in 8/5 + 0*m**2 + 8/5*m - 2/5*m**3 - v*m**4 = 0?
-2, 2
Suppose 2*n = 3*l + 76, 29*l = 32*l + 3*n + 66. Let r be 16396/72 - (-4)/l. Suppose 12*i + 256*i**3 + 0 + 96*i**2 + r*i**4 = 0. Calculate i.
-3/8, 0
Factor 24/11*z**4 + 72/11*z**3 + 64/11*z**2 + 2/11*z**5 + 0 + 0*z.
2*z**2*(z + 2)**2*(z + 8)/11
Suppose -2841*d = -2833*d. Let j(r) be the first derivative of 17 + 0*r**2 - 1/8*r**4 + d*r + 1/3*r**3. Factor j(x).
-x**2*(x - 2)/2
Let j = -97197 + 97201. Let x(l) = l**3 + 3*l**2 + 3*l + 2. Let v be x(-2). Factor 3/2 + v*k**3 + 0*k - 3*k**2 + 3/2*k**j.
3*(k - 1)**2*(k + 1)**2/2
Let s = -34/1245 + 48691/4980. Factor -9/2*n**4 - 3/4*n**5 - 9*n**2 + 0 - 3*n - s*n**3.
-3*n*(n + 1)**2*(n + 2)**2/4
Let n(u) = 43*u**2 - 2*u - 3. Let j be n(-1). Let p be (-2 + 4/3)/((-4)/j). Factor -5 + p + 5 + 5*h + 3 - 5*h**2.
-5*(h - 2)*(h + 1)
Suppose 29 + 9 = 19*y. Let r(s) = 6*s**3 - 29*s**2 + 59*s - 43. Let f(i) = 2*i**3 - 10*i**2 + 20*i - 14. Let q(x) = y*r(x) - 7*f(x). Let q(g) = 0. What is g?
1, 2, 3
Let k = -3507 - -3507. Let g(q) be the third derivative of -1/6*q**3 + 1/20*q**5 - 1/12*q**4 + 8*q**2 + k + 0*q. Determine l so that g(l) = 0.
-1/3, 1
Suppose 112*f + 15 = 109*f. Let l be (-3444)/(-35) - (-2)/f. Factor -97*o**4 + o**5 + l*o**4 + 0*o**5.
o**4*(o + 1)
Let i(p) be the third derivative of 7*p**8/3456 + p**7/27 + 8*p**6/27 + p**5/30 + 35*p**3/3 - 121*p**2. Let c(l) be the third derivative of i(l). Factor c(g).
5*(7*g + 16)**2/6
Let u(p) = 15*p**2 - 12080*p. Let b(x) = 2*x**2 - 1727*x. Let a(h) = 20*b(h) - 3*u(h). Factor a(y).
-5*y*(y - 340)
Let y(r) be the first derivative of -r**5/180 + r**4/8 + 19*r**2 + 67. Let j(o) be the second derivative of y(o). Determine w so that j(w) = 0.
0, 9
Let i = 12475/49894 + -3/99788. Let b = -2 - -4. Find y such that 0 - i*y**b - 1/2*y = 0.
-2, 0
Factor 4/3*z**2 + 2709316/3 - 6584/3*z.
4*(z - 823)**2/3
Let s(a) be the third derivative of 0*a + 9*a**2 - 1/60*a**5 - 11/24*a**4 - 6 + 2*a**3. Factor s(v).
-(v - 1)*(v + 12)
Let h be -8 + 6/540*1311 - (-37)/74. Determine o, given that 18/5 - 2/15*o**3 + 10/3*o**2 + h*o = 0.
-1, 27
Let w = 367 - 364. Suppose 8*o - 5*o = w, -3*d - 5*o = -23. Factor -18 - 1/2*b**2 + d*b.
-(b - 6)**2/2
Find r, given that -282*r**2 + 452*r - 14/3*r**3 - 496/3 = 0.
-62, 4/7, 1
Let x(c) be the third derivative of c**5/70 - 31*c**4/28 + 30*c**3/7 + c**2 + 24*c. Suppose x(u) = 0. Calculate u.
1, 30
Let j(r) be the third derivative of 0*r**4 - 4/5*r**5 + 1/224*r**8 + 0 + 3/70*r**7 + 0*r + 46*r**2 + 0*r**6 + 0*r**3. Factor j(g).
3*g**2*(g - 2)*(g + 4)**2/2
Let d(g) be the first derivative of -g**5/50 - 17*g**4/40 + 23*g**3/5 - 1781. Determine a so that d(a) = 0.
-23, 0, 6
Let n = -61 + 34. Let a = n + 55. Suppose a*i**3 - 224*i + 6*i**2 - 2*i**4 - 72*i**2 + 235 - 363 = 0. What is i?
-1, 8
Let o(z) be the first derivative of -12 + 9*z + 7/3*z**3 + 15/2*z**2 + 1/4*z**4. Find n such that o(n) = 0.
-3, -1
Let j be (-2574)/2002 + (-87)/(-21). Solve -24/7*c**2 + j*c - 2/7*c**4 - 6/7 + 12/7*c**3 = 0 for c.
1, 3
Suppose 0 = 2*b + 3*j + 17, 6*b + 43 = -4*j + 27. Let u be (0/(-1))/(-1 + -1). Factor 0 + u*s - 1/6*s**4 + 0*s**3 + 1/6*s**b.
-s**2*(s - 1)*(s + 1)/6
Let r(u) = u - 22. Let i be r(25). Suppose 2*g - 16 = -3*w, 0*w + 2*g = -5*w + 24. Determine s so that -15*s**2 + 12*s**w + 0*s**i + 3 + 9/2*s - 9/2*s**5 = 0.
-1, -1/3, 1, 2
Suppose 0 = -2*z - 16 - 14. Let b be 12/(-24)*36/z. Factor -b*a + 33/5*a**2 + 0 - 27/5*a**3.
-3*a*(a - 1)*(9*a - 2)/5
Let y be (-84 - -92) + 359/(-40) + 1. Let s(w) be the second derivative of -9/80*w**5 - 3/4*w**2 + 0 + y*w**6 + 3/8*w**3 + w + 1/16*w**4. Factor s(k).
3*(k - 2)*(k - 1)**2*(k + 1)/4
Let f(m) be the first derivative of -m**3/3 + 695*m**2/2 - 703. Find k such that f(k) = 0.
0, 695
Suppose 4*a - j = 10, -2*a - j + 20 - 18 = 0. Solve 7*d - 30 - 5*d + 30*d - 2*d**a = 0 for d.
1, 15
Let r(g) = g**2 + 60*g - 1477. Let d be r(19). Let x(z) be the first derivative of -4*z**2 - d + 2*z - 3/2*z**3. Factor x(j).
-(j + 2)*(9*j - 2)/2
Let j(x) be the first derivative of 4*x**5 - 125*x**4/4 + 70*x**3 - 45*x**2/2 - 765. Suppose j(l) = 0. Calculate l.
0, 1/4, 3
Let z be ((-19)/5)/(474 + -493). Factor -7/5 + 