7/2*q**3 = 0 for q.
-1, -1/4, 0, 3
What is t in 7690*t**2 + 9787*t + 10031*t + 8100 - 966*t**2 - 3408*t - 1650*t = 0?
-45/41
Let 1/2*l**4 - 73/2*l**2 - 145/2*l + 1/2*l**3 - 36 = 0. Calculate l.
-8, -1, 9
Let u(n) be the third derivative of 1/70*n**7 - 5/112*n**8 + 0*n**3 - 204*n**2 + 0 + 0*n - 1/4*n**4 + 7/20*n**5 + 3/8*n**6. Determine b, given that u(b) = 0.
-1, 0, 1/5, 2
Let p(h) be the second derivative of 64/3*h**3 - 4*h**4 + 2/5*h**5 + 3*h - 64*h**2 - 1/60*h**6 + 14. Factor p(t).
-(t - 4)**4/2
Let q = 44 + -44. Suppose q = -3*y + y + 2744. Solve -y*h**4 + 68*h**2 + 77*h**2 - 32*h - 33*h**2 + 134*h**3 + 258*h**3 = 0.
-2/7, 0, 2/7
Let t(a) be the first derivative of -a**5/80 - a**4/4 - 15*a**3/8 - 123*a**2/2 + 160. Let l(y) be the second derivative of t(y). Factor l(d).
-3*(d + 3)*(d + 5)/4
Let n(w) be the first derivative of -74*w**3/39 + 68*w**2/13 + 24*w/13 + 324. Determine c, given that n(c) = 0.
-6/37, 2
Let a(l) be the third derivative of 1/30*l**6 - 18*l**2 + 0*l**4 + 3 + 23/168*l**8 - 5/21*l**7 + 0*l + 0*l**5 + 0*l**3. Factor a(n).
2*n**3*(n - 1)*(23*n - 2)
Let b be (42/(-35))/(2/(-5)). Suppose b*c = 9, -3*l + 24 = 5*c - 528. Let 199*h + h**2 + 4*h**2 - l*h = 0. Calculate h.
-4, 0
Let b be (3 - (-66)/(-20))/((-87)/(-48) - 2). Factor -b - 4/5*g + 4/5*g**2.
4*(g - 2)*(g + 1)/5
Let d(s) = s**3 - 8*s + 5. Let p be d(-3). Determine y so that 590*y**3 - 300*y**3 + 11*y + 6*y**4 - 304*y**3 + 3*y - p*y**2 - 4 = 0.
-1, 1/3, 1, 2
Let p = 12128 - 8592. Factor -5*q**2 - 6*q**2 - p*q - 2*q**3 - 4*q**3 - q**4 + 3530*q.
-q*(q + 1)*(q + 2)*(q + 3)
Let h be 3 + ((-6)/27 - 1685/(-9)). Suppose 5*f - 3*l = 2*l + h, -5 = 5*l. Factor -135*k - 3*k**5 + 36*k + 48*k**2 - f*k**3 + 90*k**2 + 27*k**4 + 27 - 53*k**3.
-3*(k - 3)**2*(k - 1)**3
Factor -738/7*l**2 + 100/7*l**3 + 0 - 2/7*l**4 + 0*l.
-2*l**2*(l - 41)*(l - 9)/7
Suppose 0 = h - 1 - 28. Let t = h + -27. Factor 54*s**2 + t*s**2 - 2*s**2 + 3*s**4 + 60*s + 24 + 21*s**3.
3*(s + 1)*(s + 2)**3
Let 168/5 - 2/5*k**2 + 166/5*k = 0. What is k?
-1, 84
Let w(x) be the first derivative of -3*x**4/28 - 11*x**3/7 - 57*x**2/14 - 27*x/7 + 6709. Solve w(h) = 0.
-9, -1
Let n(v) = -36*v**4 + 32*v**3 + 132*v**2 - 560*v + 368. Let i(j) = 2*j**4 + 2. Let b(g) = 16*i(g) + n(g). What is d in b(d) = 0?
-5, 1, 2, 10
Let s(y) be the third derivative of 0*y**4 + 0*y**5 + 0 - 1/1008*y**8 + 0*y**3 + 94*y**2 + 0*y + 1/315*y**7 + 1/120*y**6. Find j such that s(j) = 0.
-1, 0, 3
Let a(m) be the third derivative of m**6/600 + 83*m**5/300 + 8*m**4/3 + 158*m**3/15 + 4*m**2 - 32*m + 1. Let a(f) = 0. What is f?
-79, -2
Let s(f) be the second derivative of -5*f**4/12 - 1745*f**3/3 - 3485*f**2/2 + 2046*f. Factor s(a).
-5*(a + 1)*(a + 697)
Let y(s) be the third derivative of s**7/1680 - s**6/80 + s**5/16 + 25*s**4/48 + 18*s**3 + 3*s**2 + 4. Let g(r) be the first derivative of y(r). Factor g(b).
(b - 5)**2*(b + 1)/2
Let o(i) = -5*i**2 - 158*i - 1054. Let d(q) = 36*q**2 + 1107*q + 7377. Let p(j) = 2*d(j) + 15*o(j). Find v such that p(v) = 0.
-44, -8
Suppose -4*w + 12 = 0, -3*z + 3*w = -5*z + 169. Let h = z - 78. Factor -2/13*l**h - 8/13 + 8/13*l.
-2*(l - 2)**2/13
Let d = -3195/17 - -19255/102. Let c(h) be the second derivative of d*h**4 + 1/4*h**5 + 0*h**2 + 5/6*h**3 + 0 + 29*h. Find s such that c(s) = 0.
-1, 0
Let v be (-184)/20 - (-8)/(-10). Let p be -18*2/v - 24/(-60). Find g such that 3*g**4 - p*g**4 + 93*g**3 - 92*g**3 = 0.
0, 1
Suppose -766*y**2 + 1656 + 1664*y**2 - 100*y**2 - 5172*y - 20*y**4 + 1918*y**2 - 332*y**3 = 0. What is y?
-23, 2/5, 3
Let p(x) = 3*x**2 + 3*x. Let i(s) = 1. Let f(v) = -7*v**2 - 6*v - 3. Let k(r) = -f(r) - 4*i(r). Let d(h) = -6*k(h) + 15*p(h). Solve d(y) = 0 for y.
-2, -1
Let d(f) be the third derivative of f**8/112 - 3*f**7/2 - 563*f**6/20 - 698*f**5/5 + 444*f**4 + 7360*f**3 + f**2 + 84*f + 27. What is m in d(m) = 0?
-4, 2, 115
Let p be 648/165 - 9270/3399. Determine w, given that -p - 1/10*w**2 + 13/10*w = 0.
1, 12
Let b(f) be the first derivative of 5*f**4/12 - 2675*f**3/3 + 537340*f**2 - 3216020*f/3 - 1045. Suppose b(t) = 0. Calculate t.
1, 802
Let d(i) be the third derivative of 3*i**8/448 + 61*i**7/840 - 73*i**6/96 + 37*i**5/16 - 19*i**4/6 + 11*i**3/6 + 5*i**2 + 119. Determine s so that d(s) = 0.
-11, 2/9, 1, 2
Suppose -12*z + 25 = -7*z. Suppose -z*f - 6 = -3*s, -2*s + 4 = f - 0. Solve s + 0*o - 6 - 4*o + 11*o + 36*o**2 = 0.
-4/9, 1/4
Let g(h) be the second derivative of 2/9*h**4 + 0 - 103/9*h**3 + 49*h - 26/3*h**2. Factor g(l).
2*(l - 26)*(4*l + 1)/3
Let w(c) = c**3 + 4*c**2 + 16*c + 41. Let t be w(-3). Let k(l) be the first derivative of -2/33*l**3 - 30 + 0*l - 1/11*l**t. Factor k(x).
-2*x*(x + 1)/11
Let h(g) = -1. Let f(o) = -4*o**2 + 3*o + 1. Let l be (0 - 1) + (-3)/6*0. Let t(w) = l*h(w) - f(w). Determine q, given that t(q) = 0.
0, 3/4
Let v(a) = 4*a**2 + 15*a - 13. Let h be v(-5). Let i be 9/h*10/(-15)*-4. What is x in -4/5 - 1/5*x**i + 3/5*x**3 - 8/5*x = 0?
-1, -2/3, 2
Let f = -282284 + 282287. Factor -8/3 - 52/9*x - 4/9*x**f - 32/9*x**2.
-4*(x + 1)**2*(x + 6)/9
Let n(z) be the first derivative of z**4/16 - 2*z**3 + 21*z**2/8 + 23*z/2 - 460. Solve n(k) = 0.
-1, 2, 23
Let o = 2321/37 - 8285/148. Determine l so that 3/4*l - 3/4*l**3 - 27/4*l**2 + o = 0.
-9, -1, 1
Suppose -40 = -5*j - 2*m, 2*j - 2*m = -3*m + 17. Let g be 175/28 - j*1. Find b, given that -3/2*b**2 - b - b**3 - 1/4*b**4 - g = 0.
-1
Let p(f) be the first derivative of -13*f**3/8 + 87*f**2/16 - 9*f/4 - 4161. Suppose p(g) = 0. Calculate g.
3/13, 2
Let w = -2 + 7. Let a = w + 0. Factor 20*q**4 - 2 - 50*q**a + 2 + 150*q**5 + 16*q**2 - 64*q**3.
4*q**2*(q + 1)*(5*q - 2)**2
Let x be 3/2*(-11)/((-66)/(-108)). Let o = -25 - x. Let -15 - 32*s**2 - 54*s - o*s**3 - 11 + 2*s**2 = 0. What is s?
-13, -1
Let k(a) = -a**2 + 16*a - 62. Let o be k(8). Solve 15*c**4 - 6*c**5 + 2986*c**2 - 3190*c**o - 174*c**3 + 27*c**5 + 72*c = 0.
-2, 0, 2/7, 3
Let p be 4/30 + 527/(-156060)*-21. Let g = p - -7/153. Factor 0 + 1/8*c**2 - g*c.
c*(c - 2)/8
Let s(g) be the first derivative of -g**6/48 - g**5/2 - 35*g**4/16 - 25*g**3/6 + 22*g**2 + g + 53. Let p(b) be the second derivative of s(b). Factor p(w).
-5*(w + 1)**2*(w + 10)/2
Let j be 21 - (-3 + (-3)/1 + 4). Factor 11*r**3 + 10*r**3 - j*r**3 + 6*r**2 + 20*r.
-2*r*(r - 5)*(r + 2)
Let 192/5*f**3 + 52/5*f**4 + 0 + 4/5*f**5 + 272/5*f**2 + 128/5*f = 0. What is f?
-8, -2, -1, 0
Let z(b) = -8*b**4 - b**3 - b**2 + b + 2. Let i(p) = -31*p**4 + 6*p**3 + 28*p**2 + 36*p + 8. Let s(y) = -5*i(y) + 20*z(y). Factor s(f).
-5*f*(f + 2)*(f + 4)**2
Let r(p) be the second derivative of 2*p**7/63 + 44*p**6/45 - 44*p**5/5 + 86*p**4/9 + 262*p**3/9 - 72*p**2 - 417*p. Let r(t) = 0. Calculate t.
-27, -1, 1, 4
Let g(n) be the first derivative of -50*n**6/3 - 19*n**5 + 85*n**4/4 + 95*n**3/3 + 15*n**2/2 - 5264. Solve g(r) = 0.
-1, -3/4, -1/5, 0, 1
Let h(w) be the second derivative of -1/24*w**4 + 4*w + 14*w**2 + 50 - 13/6*w**3. Let h(c) = 0. What is c?
-28, 2
Suppose 7*i + 2*i = 18. Factor -4*s - i*s**4 - 1693 + 1693 - 10*s**2 - 8*s**3.
-2*s*(s + 1)**2*(s + 2)
Let q be -1 - 33/(-27) - (-96)/54. Suppose 6*z = 5*d + 8*z - q, -2*z = 8. Find t, given that 2 - 1/2*t**d + 0*t = 0.
-2, 2
Let r = -114 - -128. Let h = r - -2. Let 3*g**2 - 7*g + h - g**2 - 13*g + 2*g**3 = 0. Calculate g.
-4, 1, 2
Let f = 9439403/2622055 + -1/524411. Find h, given that f*h**3 + 0 + 2*h**4 + 26/15*h**2 + 0*h + 2/15*h**5 = 0.
-13, -1, 0
Let o(n) = 20*n**2 - 249*n - 139. Let v be o(13). Let -2*f**3 - 2 - 21/4*f**2 - 1/4*f**v - 11/2*f = 0. What is f?
-4, -2, -1
Let y(o) be the second derivative of o**5/50 - 299*o**4/30 - o**3/15 + 299*o**2/5 + 1028*o. Factor y(q).
2*(q - 299)*(q - 1)*(q + 1)/5
Let r be (97375/(-44280) + (-1)/(-8))*12/(-7). Determine g so that 2/9*g**3 + r*g + 16/9*g**2 + 0 = 0.
-4, 0
Let z be 0/(5 - (-7)/((-70)/90)). Let m(n) be the second derivative of z - 1/27*n**4 - 4/27*n**3 + 0*n**2 + 14*n. Solve m(h) = 0.
-2, 0
Let m be (-41)/(-2) + (10 - 4)/(-12). Let q be (-3)/m*(-24)/9. Factor q*i + 4/15*i**2 + 2/15 - 2/15*i**5 - 2/5*i**4 - 4/15*i**3.
-2*(i - 1)*(i + 1)**4/15
Let s(w) = -3*w - 54. Let x be s(-19). Determine v, given that -15*v**2 - 6*v + 19 + 5*v**3 + 27*v - 28 - 2*v**x = 0.
1, 3
Let k(w) be the third derivative of 13*w**8/112 - 193*w**7/210 + 17*w**6/30 + 