) = 0. What is s?
-60, 0, 1
Suppose -44 = -12*i + i. Suppose i*a**4 + 7*a - 32*a**3 - 47*a + 91*a**2 - 23*a**2 = 0. Calculate a.
0, 1, 2, 5
Let x(b) be the third derivative of -b**5/15 - 11*b**4/3 - 64*b**3 - 2*b**2 + 118*b. What is o in x(o) = 0?
-16, -6
Let n(t) = 36*t**2 + 1211*t + 14389. Let v(d) = -7*d**2 - 242*d - 2878. Suppose -273*o + 269*o = -44. Let w(j) = o*v(j) + 2*n(j). Determine u so that w(u) = 0.
-24
Factor 2/7*a**2 - 92/7 + 6*a.
2*(a - 2)*(a + 23)/7
Let p = 88/75 + 4/25. Let c(s) be the first derivative of 4*s + p*s**3 + 4*s**2 - 3. Let c(o) = 0. What is o?
-1
Let o(m) be the second derivative of 9*m**7/14 + 186*m**6/5 - 204*m**5/5 - 212*m**4 - 168*m**3 + 149*m. Determine j, given that o(j) = 0.
-42, -2/3, 0, 2
Suppose 2 + 6 = 4*b. Suppose -2*g - 34 + 70 = 0. Factor -262 + g*c - 299 + 642 + c**b.
(c + 9)**2
Let l be (5 + -5)/((-3 - -6)*-1). Let h(r) be the first derivative of l*r**2 - 8/125*r**5 - 2/25*r**4 + 16 + 1/25*r**6 + 0*r + 0*r**3. Solve h(v) = 0 for v.
-2/3, 0, 2
Let b(o) be the second derivative of o**8/47040 + o**7/5880 - o**6/560 + o**5/168 + 8*o**4/3 - 46*o. Let p(v) be the third derivative of b(v). Factor p(w).
(w - 1)**2*(w + 5)/7
Let p be (147/(-980)*20/24)/((-12)/64). Determine h so that 0 + 4/3*h + 2/3*h**2 + p*h**5 - 2/3*h**4 - 2*h**3 = 0.
-1, 0, 1, 2
Let d(u) be the second derivative of -u**8/1680 + u**7/280 + u**6/90 + 2*u**3/3 + 3*u**2/2 - 12*u - 14. Let c(x) be the second derivative of d(x). Factor c(l).
-l**2*(l - 4)*(l + 1)
Let u(h) be the first derivative of -28*h**3 + 9*h**4 - 45 - 4/5*h**5 - 24*h + 38*h**2. Factor u(f).
-4*(f - 6)*(f - 1)**3
Let j(k) be the third derivative of -k**5/120 + 11*k**4/12 + 47*k**3/4 - k**2 + 78*k - 1. Determine u so that j(u) = 0.
-3, 47
Let b(q) be the second derivative of -14/3*q**3 + 1/12*q**4 + 98*q**2 - 4 - 6*q. Factor b(d).
(d - 14)**2
Suppose -h = -z - 6, h - 8*z = -3*z + 18. Factor -h*t**3 - 32*t**2 + 35*t**2 - 36 + 22*t + 2*t.
-3*(t - 2)**2*(t + 3)
Let s = -74389 + 818281/11. Factor 10/11 - s*u**2 + 8/11*u.
-2*(u - 5)*(u + 1)/11
Let v(n) = -21*n**2 + 67*n - 170. Let r(f) = 68*f**2 - 202*f + 510. Let u(a) = -3*r(a) - 10*v(a). Factor u(w).
2*(w - 5)*(3*w - 17)
Suppose 2*m - 28 = -5*i, -3*m + 9 + 6 = 3*i. Let v be i*259/56 - 3. Factor v*f**2 + 15/2*f**3 + 12 + 30*f + 3/4*f**4.
3*(f + 1)**2*(f + 4)**2/4
Suppose s = 2*m + 2*s - 55, -5*m + 155 = -s. Factor -m*k**3 - 20*k**2 - 20*k**2 - 28*k**4 + 53*k**4.
5*k**2*(k - 2)*(5*k + 4)
Let -4863/2*t**2 + 6723*t - 3/4*t**4 - 4374 + 333/4*t**3 = 0. What is t?
1, 2, 54
Solve 1755 - 1081*t**2 + 1306*t**2 - 2088*t**3 + 1977*t + 2091*t**3 = 0 for t.
-65, -9, -1
Let k(g) be the first derivative of 20 - 20/3*g**3 - 15/2*g**4 - g**5 + 160*g + 60*g**2. Determine d, given that k(d) = 0.
-4, -2, 2
Let x(v) be the third derivative of -v**5/60 + 13*v**4/24 + 17*v**3/6 - 14*v**2. Let y be x(14). Factor -r**3 + 2*r**y + 2*r**2 - 66 + 64 - r.
(r - 1)*(r + 1)*(r + 2)
Let p(k) = -k**3 + 3*k**2 + 12*k + 61. Let q(s) = -s**3 + 4*s**2 + 12*s + 60. Let w(n) = 4*p(n) - 3*q(n). Let x(l) be the first derivative of w(l). Factor x(d).
-3*(d - 2)*(d + 2)
Suppose -k = 3*p - 1, 462*k - 33 = -4*p + 467*k. Let u(s) be the first derivative of 43 + 4/9*s**3 - 44/3*s + 20/3*s**p. Factor u(d).
4*(d - 1)*(d + 11)/3
Let p(q) = q**4 - q**2 + q - 1. Let s(j) = -8*j**4 - 50*j**3 - 182*j**2 - 303*j - 177. Let c = 282 - 283. Let y(d) = c*s(d) - 3*p(d). Find w such that y(w) = 0.
-3, -2
Let o = -10699/5 + 2140. Let g(v) be the first derivative of -2/25*v**5 - o*v**4 + 7 - 2/15*v**3 + 0*v**2 + 0*v. Factor g(b).
-2*b**2*(b + 1)**2/5
Factor 108 + 3/2*x**2 - 57*x.
3*(x - 36)*(x - 2)/2
Let z(h) be the second derivative of -128/3*h**2 + 2*h - 224/9*h**3 + 0 - 1/45*h**6 - 19/3*h**4 - 19/30*h**5. Find t such that z(t) = 0.
-8, -2, -1
Let v(r) be the second derivative of 7/6*r**4 + 0*r**3 - 1/10*r**6 - 19/20*r**5 + 0*r**2 - 100 - r. Factor v(u).
-u**2*(u + 7)*(3*u - 2)
Determine k so that -9855*k + 5*k**3 + 88313 + 150*k**2 - 130*k**2 - 40*k**2 + 93937 = 0.
-50, 27
Let s(t) be the second derivative of -3*t**6/10 - 33*t**5/10 - 49*t**4/4 - 19*t**3 - 12*t**2 + 579*t. Suppose s(o) = 0. What is o?
-4, -2, -1, -1/3
Let d(w) be the third derivative of -w**6/24 + 5*w**5/12 - 5*w**4/8 - 15*w**3/2 + 349*w**2 - 2. Factor d(g).
-5*(g - 3)**2*(g + 1)
Let p(m) = -25*m - 48. Let z be p(-2). Let z*g**3 - 7*g**3 + 2*g**3 + 6*g**2 + 0*g**3 = 0. What is g?
0, 2
Let o = -608 + 618. Determine z, given that -41 + 71 + 8*z + 53*z + 10*z**3 + 105*z**2 + 84*z + o*z**3 = 0.
-3, -2, -1/4
Suppose -47 + 35 = -3*y. Let m be (6*y/(-80))/((-28)/35). Find v such that -m*v**2 - 243/8 + 27/4*v = 0.
9
Let n = -6100 + 6105. Let p(k) be the third derivative of 2/15*k**3 + 1/60*k**4 + 38*k**2 + 0 + 0*k - 1/150*k**n. Factor p(t).
-2*(t - 2)*(t + 1)/5
Factor -138*q + 44*q**2 + 3*q**3 - 11*q**2 - 36337 + 36169.
3*(q - 4)*(q + 1)*(q + 14)
Suppose -49 = -3*u + 2*x, -43*x + 38*x + 5 = 18*u. Factor 5/3*w - u*w**2 + 5/3*w**4 - 5/3*w**3 + 10/3.
5*(w - 2)*(w - 1)*(w + 1)**2/3
Let c = 47660 + -332065/7. Let u = c - 222. Factor -1/7*j**3 - 2/7 + 3/7*j**2 - 1/7*j**4 + u*j.
-(j - 1)**2*(j + 1)*(j + 2)/7
Let j(b) be the first derivative of 26 + 44/3*b**3 - 7*b**4 + 4/5*b**5 + 0*b - 10*b**2. Factor j(a).
4*a*(a - 5)*(a - 1)**2
Let u(d) = 13*d**3 + 53*d**2 + 88*d + 48. Let h(m) = -27*m**2 - 8 - 44*m - 2 - 14 - 7*m**3. Let q(g) = -5*h(g) - 3*u(g). Solve q(t) = 0.
-3, -2, -1
Let b(s) be the third derivative of 0 + 2*s**2 + 1/2*s**3 + 7/120*s**5 - 26*s - 13/48*s**4. Factor b(g).
(g - 1)*(7*g - 6)/2
Suppose -4*y + 18 = 5*z, 198*z - 194*z - 2 = 3*y. Determine b so that 2/9*b**z - 8/9*b**5 + 0*b + 0 + 2*b**4 - 4/3*b**3 = 0.
0, 1/4, 1
Let k(z) = 10*z**3 - 19585*z**2 - 45*z + 5. Let p(s) = 5*s**3 - 9794*s**2 - 18*s + 2. Let y(t) = -2*k(t) + 5*p(t). Factor y(f).
5*f**2*(f - 1960)
Let q(c) be the second derivative of -1/48*c**3 + 1/96*c**4 - 91 + c + 0*c**2. Solve q(w) = 0 for w.
0, 1
Let n = 12307/20 + -12259/20. Factor n*r - 36/5 - 1/5*r**2.
-(r - 6)**2/5
Factor 9*v - 9/4*v**2 - v**3 + 1/4*v**4 + 0.
v*(v - 4)*(v - 3)*(v + 3)/4
Let s(h) be the third derivative of -1/340*h**6 - 48*h**2 + 0*h**3 + 0*h - 1/204*h**4 + 1/170*h**5 + 0 + 1/1785*h**7. Let s(n) = 0. Calculate n.
0, 1
Let -1/6*b**4 - 167/6*b**3 + 499/6*b - 167/3 + 1/2*b**2 = 0. What is b?
-167, -2, 1
Let r = 14166 + -14163. Let d(s) be the first derivative of 0*s - 1/15*s**5 + 1/3*s**4 - 5/9*s**r + 1/3*s**2 + 20. Factor d(z).
-z*(z - 2)*(z - 1)**2/3
Let h(c) = 2*c**2 + 12*c - 20. Let z(g) = -g**2 - 5*g + 10. Suppose 0*y + 5*j + 9 = -y, -3*y - j - 13 = 0. Let p(v) = y*h(v) - 9*z(v). Solve p(x) = 0.
-2, 5
Let f = -42181/122 - -21426/61. Determine o so that -10 - 1/4*o**2 + f*o = 0.
2, 20
Let b(c) = 67*c - 9444. Let r be b(141). Let m(o) be the third derivative of 0*o + r + 1/4*o**5 + 1/120*o**6 + 25/8*o**4 + 125/6*o**3 + 5*o**2. Factor m(k).
(k + 5)**3
Let c be 9*(-40)/(-48)*(-6)/(-15). Factor -5*l**3 + 9*l - 3*l**2 - 9*l**4 + 6 + 16*l**4 - 10*l**4 - 4*l**c.
-3*(l - 1)*(l + 1)**2*(l + 2)
Let u = -1989271/4 - -497319. Let -u*s**3 + 2 + 5*s - 1/2*s**2 = 0. What is s?
-2, -2/5, 2
Let b(z) = -2*z**5 - z**4 + z**2 - z. Let m(h) = 17*h**5 - 215*h**4 - 1101*h**3 - 1319*h**2 + 893*h + 1752. Let o(d) = 9*b(d) + m(d). Factor o(s).
-(s - 1)*(s + 2)**3*(s + 219)
Let l(k) be the first derivative of -3*k**5 - 365*k**4/4 + 265*k**3/3 + 365*k**2/2 - 250*k - 8344. Let l(p) = 0. What is p?
-25, -1, 2/3, 1
Let d be (-1 + (4 - -3))/(15/4). Let k be 2/(-7)*((-174)/(-15) + -13). Factor 2*a**3 - 2/5*a**4 - k*a**5 - 16/5*a + d + 2/5*a**2.
-2*(a - 1)**3*(a + 2)**2/5
Suppose 44*c = -7*c + 102. Let v(h) be the second derivative of h**3 - 2/3*h**2 - c*h - 2/9*h**4 + 0. Suppose v(a) = 0. What is a?
1/4, 2
Let y(x) be the second derivative of x**7/140 - 7*x**6/360 + x**5/120 - 38*x**3/3 + 78*x. Let z(n) be the second derivative of y(n). Factor z(p).
p*(p - 1)*(6*p - 1)
Let o(i) be the first derivative of -75*i + 10/3*i**3 + 5/2*i**2 + 33. What is x in o(x) = 0?
-3, 5/2
Let l(t) = 9*t**3 + 150*t**2 - 246*t - 192. Let k(u) = -5*u**3 + u**2 + u. Let s(p) = -6*k(p) - l(p). Find x such that s(x) = 0.
-4/7, 4
Let q be 7/49*7 + (-26)/34. Let j = q - 26/255. Determine h, given that 4/15*h**3 - 4/15*h + 0 + 2/15*h**4 -