)**2/7
Let o(t) be the first derivative of t**6/75 - t**5/25 - 7*t**4/30 - 4*t**3/15 - 56*t + 75. Let i(w) be the first derivative of o(w). Let i(d) = 0. What is d?
-1, 0, 4
Let p = -11631/41 - -128679/451. Solve 18/11*x**3 - 4/11*x**4 + 8/11 - 4/11*x**2 - p*x = 0.
-1, 1/2, 1, 4
Suppose 144082 - 144103 = -3*a, 2951 = 2*p + 5*a. Let 54*y + 1/2*y**2 + p = 0. What is y?
-54
Let b be 54522/(-3495) + 13 + 1 + 2. Let -b*t**4 - 12/5*t**2 + 0*t + 0 + 14/5*t**3 = 0. Calculate t.
0, 1, 6
Determine r, given that 130 - 101/2*r**2 + 206/3*r + r**4 - 145/6*r**3 = 0.
-2, -3/2, 5/3, 26
Suppose 4*p - 331 = 3*r, -3*r - p = -0*p + 311. Let q be 7/(r/(-10))*(20 - -1). What is w in 4*w**2 - 21*w - 29*w**2 - q*w + 0*w**3 - 15 - 5*w**3 = 0?
-3, -1
Factor -686/15*u - 20/3*u**2 - 2/15*u**3 - 196/5.
-2*(u + 1)*(u + 7)*(u + 42)/15
Let t be (52/(-2925)*-15)/(3/45). Let l(o) be the second derivative of 0*o**2 - 1/45*o**6 + 0 + 1/18*o**t - 26*o - 1/9*o**3 + 1/30*o**5. Solve l(i) = 0.
-1, 0, 1
Let z = 446 + -356. Factor -z*c + 387*c + 7396 + 4*c**2 + 47*c.
4*(c + 43)**2
Suppose 2*u + 27 - 11 = 3*a, -3*a = u - 10. Suppose 0 = 4*r - 5*q - 4 + a, 0 = 4*q. Solve -2/7*t**3 + 0*t**2 + 0*t + r = 0.
0
Let v(m) = -11*m**2 + 22*m. Let p(b) = -12*b + 76*b + b - 35*b**2. Let a(h) = 3*p(h) - 10*v(h). Factor a(s).
5*s*(s - 5)
Let v(w) be the third derivative of w**5/20 - 15*w**4/8 - 125*w**3 + 58*w**2 - 19. Suppose v(c) = 0. Calculate c.
-10, 25
Let x(p) be the second derivative of -2/7*p**2 + 1/70*p**5 + 0 - 1/7*p**3 + 0*p**4 + 64*p. Suppose x(w) = 0. Calculate w.
-1, 2
Suppose -10*x - 6*x**2 + 0 - 1/2*x**3 = 0. What is x?
-10, -2, 0
Suppose 0 = -w + 25*w - 120. Suppose 5*q + 25 = 0, -3*l - w*q = 105 - 98. Solve -50 - 2/5*b**3 - l*b**2 - 30*b = 0.
-5
Let g(q) be the first derivative of -2*q**3/21 + 143*q**2/7 - 284*q/7 + 12. Solve g(t) = 0 for t.
1, 142
Let b(x) be the second derivative of -x**5/4 + 35*x**4/4 + 325*x**3/3 - 642*x - 1. Let b(l) = 0. What is l?
-5, 0, 26
Let s(y) = -253*y**3 + 5*y**2 + 4*y. Let a be s(-3). Factor -a*u + 35*u**4 + 2598*u**3 - 6966*u**3 + 24952*u**2 + 484 + 161*u**4.
4*(u - 11)**2*(7*u - 1)**2
Let d(j) be the second derivative of j**4/12 + j**3/3 - 3*j**2/2 + 2*j + 3. Determine l so that d(l) = 0.
-3, 1
Determine l, given that -124/9*l + 80/9*l**5 + 16/9 + 197/9*l**3 + 208/9*l**2 - 296/9*l**4 = 0.
-4/5, 1/4, 2
Let c be (-37972)/330 - ((-8)/(-5) + -1). Let s = c - -117. What is n in 16/3 - 4*n**2 + s*n**3 + 0*n = 0?
-1, 2
Suppose 2*f - 26*f + 48 = 0. Factor -119*x**2 + 3*x**4 - 2*x - 396*x + 326*x**f - 42*x**3 - 22*x + 300.
3*(x - 5)**2*(x - 2)**2
Let l(n) be the first derivative of 2*n**7/105 + n**6/30 - 2*n**5/15 - 10*n**2 + 13. Let q(p) be the second derivative of l(p). Factor q(j).
4*j**2*(j - 1)*(j + 2)
Let c = 3956/9 + -43480/99. Determine j, given that 18/11*j - 8/11*j**4 + 2/11*j**5 + 0 + 24/11*j**2 - c*j**3 = 0.
-1, 0, 3
Let g(t) be the third derivative of t**5/300 - 82*t**4/15 + 53792*t**3/15 + 3054*t**2. Let g(n) = 0. Calculate n.
328
Let q(x) = -x**3 + 5*x**2 - 9*x - 7. Let b be q(5). Let m = 56 + b. Find a, given that -2*a**3 + 2*a + a**2 + 2*a**m + 6*a**2 - 15*a**2 + 6*a**2 = 0.
-1, 0, 1
Let j be (1 - (3 - 160/68))/(57/437). Factor 44/17*a - 2/17 + j*a**2.
2*(a + 1)*(23*a - 1)/17
Let p(w) be the third derivative of 0*w - 1/210*w**7 + 1/12*w**4 + 0*w**3 - 13/120*w**5 + 0 - 23/480*w**6 - 59*w**2. Let p(g) = 0. Calculate g.
-4, -2, 0, 1/4
Let k = -36665/2 + 18340. Let d(q) be the second derivative of 5/3*q**3 - 23*q + 0 - k*q**2 + 5/12*q**4. Factor d(h).
5*(h - 1)*(h + 3)
Let d(k) = 5*k**3 + k**2 - 109*k + 105. Let f(c) = 21*c**3 + 3*c**2 - 435*c + 420. Suppose -49 = 39*u + 29. Let g(t) = u*f(t) + 9*d(t). Factor g(x).
3*(x - 5)*(x - 1)*(x + 7)
Determine h, given that 78/5*h + 54/5 + 2/5*h**3 + 26/5*h**2 = 0.
-9, -3, -1
Let p(x) be the first derivative of -2*x**3/27 - 433*x**2/9 + 13730. Factor p(u).
-2*u*(u + 433)/9
Find u, given that 198810 + 564*u + 2/5*u**2 = 0.
-705
Let b be (-3)/(-2 - (-65)/40) - 0. Factor -16 - a**3 - 3*a**4 + b + 3*a**2 + a**5 + 8.
a**2*(a - 3)*(a - 1)*(a + 1)
Let y(j) be the second derivative of -j**4/54 + 301*j**3/27 - 598*j**2/9 + 647*j - 2. Factor y(h).
-2*(h - 299)*(h - 2)/9
Let r(h) be the third derivative of 0 - 4/45*h**6 - 41*h**2 + 0*h + 16/15*h**5 + 256/9*h**3 - 64/9*h**4 + 1/315*h**7. Factor r(y).
2*(y - 4)**4/3
Suppose 35*q - 36*q = 39. Let l = 34 + q. Let g(m) = 5*m**2 + 20*m + 15. Let t(i) = -5*i**2 - 21*i - 16. Let y(v) = l*t(v) - 6*g(v). Factor y(x).
-5*(x + 1)*(x + 2)
Let n(c) be the second derivative of 7*c**6/60 + 2*c**5/5 + 11*c**4/24 + c**3/6 - 2*c - 311. Find i such that n(i) = 0.
-1, -2/7, 0
Suppose 2*t = -4*w + 26, -5*w - 50 = -5*t - 75. Let v(h) be the first derivative of -1/18*h**4 + 34 + 0*h**5 + 0*h + 0*h**3 + 1/27*h**w + 0*h**2. Factor v(u).
2*u**3*(u - 1)*(u + 1)/9
Let p = -9522 + 9526. Let -5/2*r**3 + 7/2*r**p + 0*r + 0 - r**2 = 0. Calculate r.
-2/7, 0, 1
Suppose 2*l + d = -1238, -d = 5*l + 2840 + 249. Let f = l + 15427/25. Find r, given that 16/25*r**3 + f*r**4 + 32/25*r**2 + 0*r + 0 = 0.
-4, 0
Factor -12/5 + 46/5*i - 34/5*i**2.
-2*(i - 1)*(17*i - 6)/5
Let i(n) be the third derivative of 74*n + 0 - 3/5*n**5 - 7/6*n**4 + 2/105*n**7 + 16/3*n**3 + 7/30*n**6 - 2*n**2. Factor i(c).
4*(c - 1)**2*(c + 1)*(c + 8)
Let l(s) = 11*s**3 + 45*s**2 + 49*s + 5. Let o(g) = -3*g**3 - 59314 + 23*g**2 + 10*g**3 + 25*g + 59317. Let f(v) = -3*l(v) + 5*o(v). What is h in f(h) = 0?
-1, 0, 11
Let c = -11 + 33. Suppose 0 = -x + 4, 2*g - 4*x = 3*g - c. Let 6*u - 39 - g*u**5 - 6*u**5 + 21*u**4 - 24*u**2 + 6*u**3 + 42 = 0. What is u?
-1, -1/4, 1
Let n(d) = -69*d**2 - 156*d + 318. Let r(f) = -80*f**2 - 157*f + 319. Let i(t) = -7*n(t) + 6*r(t). Determine g so that i(g) = 0.
-52, 2
Factor 138*j**2 + 1596 + 44*j + 2*j**3 - 116*j**2 + 36*j - 1500.
2*(j + 3)*(j + 4)**2
Let j(d) be the third derivative of -52/21*d**3 + 1/3*d**4 + 2*d**2 + 0 - 1/210*d**5 + 10*d. Factor j(f).
-2*(f - 26)*(f - 2)/7
Factor -312*b**2 + 148*b**2 + 580*b - 623 - 517 + 159*b**2.
-5*(b - 114)*(b - 2)
Let l(v) = -14*v**3 + 10*v**2 + 34*v + 8. Let k(r) = 6*r + 52. Let t be k(-9). Let h(x) = x. Let j(d) = t*h(d) + l(d). Factor j(f).
-2*(f - 2)*(f + 1)*(7*f + 2)
Suppose 116*u - 213 = 4*u + 11. Factor 23/2*h**u - 33/2*h - 3/2*h**3 - 1/2*h**4 + 7.
-(h - 2)*(h - 1)**2*(h + 7)/2
Let s(d) be the first derivative of 0*d + 1/15*d**5 + 11*d**2 + 17 - 1/3*d**4 + 2/3*d**3. Let i(a) be the second derivative of s(a). Factor i(h).
4*(h - 1)**2
Let i(z) be the second derivative of 8*z**6/5 - 37*z**5/5 - 15*z**4 + 296*z**3/3 - 24*z**2 + 5*z - 54. Suppose i(g) = 0. What is g?
-2, 1/12, 2, 3
Let j(y) = -y**3 + 10*y**2 - 12*y - 12. Let x be j(9). Let v be 48/26 + (-6)/x. Suppose -5*s**2 + 2*s**v + 4*s**2 + 3*s**2 = 0. What is s?
0
Solve -164*q + 200*q + 194*q**3 - 180 - 146*q**3 - 3*q**4 - 27*q**2 - 186*q**2 + 312*q = 0 for q.
1, 2, 3, 10
Suppose -14*q = -10*q - 8. Let m = 4880 + -19517/4. Solve 51/8*b - m - 3*b**q = 0.
1/8, 2
Let u = -68547/7 + 9793. Find q such that 2/7*q**5 + u*q**2 + 6/7*q + 0 - 4/7*q**4 - 8/7*q**3 = 0.
-1, 0, 1, 3
Let t(f) be the third derivative of -13*f**5/30 - 7*f**4/12 + 825*f**2. Determine l so that t(l) = 0.
-7/13, 0
What is n in 3152/7*n - 2/7*n**2 - 1241888/7 = 0?
788
Solve -330*z**2 - 2/7*z**4 - 2142*z + 0 - 118/7*z**3 = 0.
-21, -17, 0
Let z(q) be the second derivative of 1 + 41*q - 1/90*q**5 + 0*q**2 + 4/27*q**3 + 0*q**4. What is s in z(s) = 0?
-2, 0, 2
Let h(k) be the third derivative of 49 + k**2 - k**4 + 10/3*k**3 + 1/15*k**5 + 0*k. Factor h(w).
4*(w - 5)*(w - 1)
Let s(b) be the third derivative of -b**8/7 - 82*b**7/105 - 11*b**6/15 + 17*b**5/5 + 32*b**4/3 + 40*b**3/3 + 436*b**2 - 2. Determine l, given that s(l) = 0.
-2, -1, -2/3, 5/4
Let x be 198/55*(-33)/(-12)*10. Let w = x + -95. Suppose 2/5*j**3 - 4/5*j**w - 2/5*j + 4/5*j**2 + 0 = 0. Calculate j.
-1, 0, 1/2, 1
Let y = 22010 - 22007. Let g(k) be the third derivative of 1/14*k**4 + 0 - 1/840*k**6 + 0*k**y - 18*k**2 - 1/1470*k**7 + 2/105*k**5 + 0*k. Factor g(i).
-i*(i - 3)*(i + 2)**2/7
Let n(s) be the third derivative of s**7/42 - 5*s**6/24 - s**5/12 + 25*s**4/24 - 2*s**2 + 694. Determine y, given that n(y) = 0.
-1, 0, 1, 5
Let v(g) be the second derivative of 0 - 1/2*g**3 + 75*g - 1/