2 + x + 1/2*f + 43/4*f**3 - 7*f**4 = 0. Calculate f.
0, 1/4, 2/7, 1
Let t(p) = p**2 + 102*p + 184. Let x(r) = -7*r**2 - 616*r - 1100. Let s(z) = -39*t(z) - 6*x(z). Factor s(c).
3*(c - 96)*(c + 2)
Suppose 0 = 6*z + 28*z + 510. Let n be (-3)/z + -1 + 4 + -2. Solve 3/5*t**2 + 9/5*t + n = 0.
-2, -1
Suppose 3*h - 114 = -j, 55 = 2*h + j + 2*j. Let z(p) be the first derivative of -h + 1/12*p**3 + 0*p + 1/16*p**4 - 1/4*p**2. Find k, given that z(k) = 0.
-2, 0, 1
Let x(d) be the second derivative of -d**6/1080 + d**5/40 + 43*d**3/3 - 2*d - 22. Let u(a) be the second derivative of x(a). Find n such that u(n) = 0.
0, 9
Let t = -2047/9 + 231. Let u be (((-1)/9)/(3/8))/((-16)/48). Factor -10/9*y**3 - t*y - 34/9*y**2 - u.
-2*(y + 1)*(y + 2)*(5*y + 2)/9
Let i(c) be the first derivative of c**8/336 + c**7/21 + c**6/15 - c**5/6 - 3*c**4/8 + 13*c**2 + 93. Let v(d) be the second derivative of i(d). Factor v(h).
h*(h - 1)*(h + 1)**2*(h + 9)
Let b = -1233426 + 1233431. What is u in 5*u**4 + 5/3*u + 0 - 5/3*u**3 - b*u**2 = 0?
-1, 0, 1/3, 1
Let b(t) be the second derivative of 3*t**6/20 - 2373*t**5/80 + 8679*t**4/4 - 63162*t**3 - 31944*t**2 + 1564*t. Factor b(o).
3*(o - 44)**3*(6*o + 1)/4
Let c(z) = 12*z + 50. Let m be c(-4). Factor -146*g**2 + 280*g**m - 146*g**2 - 9*g**4 - 24*g**3.
-3*g**2*(g + 2)*(3*g + 2)
Let x = 23 + -22. Let n(v) = 15*v - 1. Let f be n(x). Suppose -6*g**2 + 14 - f + 15*g + g**2 = 0. What is g?
0, 3
Let y be 206/7614*17/((-119)/(-2661)). Let n = y - -1/1269. Solve -n*s + 324/7 + 4/7*s**2 = 0 for s.
9
Factor -210*y**2 - 16 + 5*y**4 - 100 + 13*y**3 + 13*y**3 - y**3 + 380*y - 84.
5*(y - 2)**2*(y - 1)*(y + 10)
Let h be 3 + (-5 - -7 - -1). Let q be (h/(-8))/(-11*(-18)/(-96)). Factor 0 + 2/11*t**2 - q*t.
2*t*(t - 2)/11
Suppose 0 = -4*r - 5*v + 6, 2*r + 2 = -0*r - 5*v. Factor -2*z**r - 15*z**3 + z**3 + 90*z**2 - 102*z**2.
-2*z**2*(z + 1)*(z + 6)
Suppose 3*p - f + 3 = 0, -34*p + 32*p - 4*f = -12. Factor p - 4/7*o**4 - 32/7*o**2 + 20/7*o**3 + 16/7*o.
-4*o*(o - 2)**2*(o - 1)/7
Let b(a) be the third derivative of a**5/60 + 31*a**4/6 + 41*a**3/2 + 946*a**2. Factor b(f).
(f + 1)*(f + 123)
Determine w so that -2/5*w**3 + 338/5*w + 28/5*w**2 + 308/5 = 0.
-7, -1, 22
Let r = 15445/36996 + -5/6166. Let k(p) be the third derivative of -r*p**4 + 0 + 1/30*p**5 + 0*p**3 + 36*p**2 + 0*p. Suppose k(a) = 0. What is a?
0, 5
Factor -749932*m**3 - 2229124*m**2 - 739600 - 375*m**5 - 3452*m**4 + 755*m**5 - 2222240*m - 384*m**5.
-4*(m + 1)**3*(m + 430)**2
Let l(h) be the second derivative of 8/9*h**4 + 0 - 8/3*h**3 + 276*h + 0*h**2 - 2/45*h**6 + 1/15*h**5. Find t such that l(t) = 0.
-3, 0, 2
Let j(w) be the first derivative of -w**3/3 - 6*w**2 - 18*w + 17. Let u be j(-10). Solve -4*l**2 - 10 + 5*l**3 + 61*l - 66*l + l**2 + 13*l**u = 0 for l.
-2, -1, 1
Suppose 0 + 12/5*s**3 - 16/5*s**2 - 16/5*s = 0. Calculate s.
-2/3, 0, 2
Let h(w) = 4*w**3 + 277*w**2 + 2048*w + 3980. Let p(u) = -28*u**3 - 1940*u**2 - 14336*u - 27856. Let i(a) = -20*h(a) - 3*p(a). Factor i(k).
4*(k + 4)**2*(k + 62)
Let v = 653413/5 + -130266. Let n = 417 - v. Factor 4/5*h**2 + 2*h - n*h**3 - 12/5.
-2*(h - 3)*(h - 1)*(h + 2)/5
Let m(y) = y**3 + 20*y**2 - 750*y - 347. Let p be m(-39). Factor -2/3*s**2 + p*s + 0.
-2*s*(s - 6)/3
Suppose 0 = 3*r - 54 + 21. Factor r*l**3 + 15*l**2 - 12*l**3 - 2*l**3.
-3*l**2*(l - 5)
Let u(m) be the first derivative of 2*m**3 - 12/5*m**5 + 0*m - 66 + 3/4*m**4 + 0*m**2 - 3/2*m**6. Find w such that u(w) = 0.
-1, 0, 2/3
Let r(p) = -8*p**2 - 114*p - 100. Let j(m) = 6*m**2 + 114*m + 103. Suppose 0 = -3*x + 9 - 24. Let a(l) = x*r(l) - 6*j(l). Factor a(h).
2*(h + 1)*(2*h - 59)
Suppose -5*p + 20 = 2*w, 5*p + 4*w = -w + 20. Let 5*y**3 + 66*y**4 - 70*y**p - 16*y - y**3 + 27*y**2 - 11*y**2 = 0. What is y?
-2, 0, 1, 2
Let n(p) be the first derivative of -p**3/12 + 2219*p**2/4 - 4923961*p/4 - 6617. What is y in n(y) = 0?
2219
Find t, given that 9551163008 - 19245044*t - 2*t**3 + 10537*t**2 - 2519307*t + 4749215*t - 433*t**2 = 0.
1684
Let j(t) be the third derivative of t**6/540 + 7*t**5/60 - 5*t**3/6 - 25*t**2. Let g(s) be the first derivative of j(s). Determine h so that g(h) = 0.
-21, 0
Let l(v) be the third derivative of v**5/300 - 103*v**4/20 - 619*v**3/30 - 1276*v**2 - 2. Find c such that l(c) = 0.
-1, 619
Let x(f) = -22*f + 28. Let r be x(-1). Determine m, given that 25*m**2 + m**2 - 4*m**2 - 95*m + 5*m**3 + r + 6*m**2 + 12*m**2 = 0.
-10, 1
Let q(k) be the first derivative of k**5/4 - 35*k**4/6 - 155*k**3/6 - 40*k**2 + 149*k + 151. Let y(x) be the first derivative of q(x). Factor y(n).
5*(n - 16)*(n + 1)**2
Suppose -29*a + 14*a + 75 = 0. Let s(f) = -6*f + 20. Let b be s(3). Suppose g**3 - 1/2*g**a + 1/2 - 1/2*g + 1/2*g**4 - g**b = 0. Calculate g.
-1, 1
Let o(f) = 1220*f**4 + 1240*f**3 + 310*f**2 - 4*f + 6. Let z(h) = -1222*h**4 - 1240*h**3 - 311*h**2 + 3*h - 5. Let n(i) = 5*o(i) + 6*z(i). Factor n(l).
-2*l*(2*l + 1)**2*(154*l + 1)
Suppose 63*i - 59*i = -4*y + 16, i - 2*y + 2 = 0. Factor -14*t - 2112 + t**i + 2125 + 0*t**2.
(t - 13)*(t - 1)
Let 5959 - i**2 - 17879 + 5959 + 5961 + 122*i = 0. What is i?
0, 122
Suppose -3*w - 2*z = -650 - 2843, 5*z - 5830 = -5*w. Let s = w - 9255/8. Determine y so that -3/4*y**3 - 3/2 - 39/8*y - s*y**2 = 0.
-4, -1, -1/2
Let a(l) be the third derivative of l**6/200 - 43*l**5/100 + 21*l**4/20 - 3568*l**2 + 1. Find t such that a(t) = 0.
0, 1, 42
Let v = 2437/7 + -7304/21. What is p in 1/6*p - 1/6*p**2 + v = 0?
-1, 2
Let v(a) = a**3 - 38*a**2 + 39*a - 71. Let q be v(37). Let k(u) be the first derivative of 0*u**3 + 1/4*u**4 + 0*u**2 + q + 0*u + 1/5*u**5. Factor k(r).
r**3*(r + 1)
Factor -91/2*s + 11*s**3 + 65/2*s**2 + 2.
(s - 1)*(s + 4)*(22*s - 1)/2
Let y be 3/(6/(-10)) - 2464/(-448). Factor 1/4*p**3 + 1/4*p + y*p**2 + 0.
p*(p + 1)**2/4
Let x(g) be the third derivative of -169*g**8/84 - 6383*g**7/210 + 5569*g**6/60 - 4823*g**5/60 + 197*g**4/6 - 22*g**3/3 - 1228*g**2. Solve x(t) = 0 for t.
-11, 2/13, 1/4, 1
Factor 2/9*q**2 - 6928/9*q + 5999648/9.
2*(q - 1732)**2/9
Let w(g) be the third derivative of g**7/840 + g**6/240 - 7*g**5/240 - 5*g**4/24 - g**3/2 - 2395*g**2. Factor w(o).
(o - 3)*(o + 1)*(o + 2)**2/4
Suppose 40036787461/3 + 1/3*c**3 + 11703241*c + 3421*c**2 = 0. What is c?
-3421
Let z be (-10 - 2873/(-340)) + (-99)/(-55). What is o in -4*o + 0 - z*o**2 = 0?
-16, 0
Let z(o) = o**4 + o**3 - 6*o - 2. Let u(d) = 8*d**4 - 33*d**3 + 77*d**2 - 10. Let g(a) = -u(a) + 5*z(a). Factor g(i).
-i*(i - 10)*(i - 3)*(3*i + 1)
Let m = -312555 + 312555. Solve 0 - 24*a**2 + 20/3*a**5 + m*a + 358/3*a**4 - 40/3*a**3 = 0.
-18, -2/5, 0, 1/2
Factor 178/5*w + 2/5*w**3 - 44 + 8*w**2.
2*(w - 1)*(w + 10)*(w + 11)/5
Suppose -24*a + 0 + 67 = 19. Let q(x) be the first derivative of -6 - 5/2*x**a + 5/3*x**3 + 0*x. What is j in q(j) = 0?
0, 1
Let h be ((-2)/(-2))/(280/30 - 9). Let 1300*j - 20*j**3 - 389*j**4 + 4*j**5 + 141*j**3 - 1160*j**2 - 807 + 321*j**4 + 307 + 303*j**h = 0. What is j?
1, 5
Let l(o) be the second derivative of 33*o**4/20 + 61*o**3/5 - 12*o**2 + 5286*o. Factor l(z).
3*(z + 4)*(33*z - 10)/5
Suppose 6148 = -4*m + 21772. Determine l so that l**2 - 3908*l + 3*l**2 + m*l - 4 + 2*l**3 = 0.
-2, -1, 1
Let s(n) be the second derivative of 0 + 5/12*n**4 - 7*n - 5/6*n**3 + 0*n**2. Factor s(a).
5*a*(a - 1)
Let t(m) be the second derivative of m**7/14 - 17*m**6/10 + 9*m**5/2 + 2*m + 194. What is b in t(b) = 0?
0, 2, 15
Let h(u) be the first derivative of -32*u - 8*u**2 - 2/3*u**3 + 81. Find n such that h(n) = 0.
-4
Let a be 3 + (2 - 3)*2. Let r = a - -16. Determine c so that r*c**2 - 16 + 24*c + 31*c**2 - 4*c**2 + 56*c = 0.
-2, 2/11
Factor -5/2*g**2 + 10 + 1/2*g**3 - 2*g.
(g - 5)*(g - 2)*(g + 2)/2
Let o(h) be the second derivative of h**7/168 - h**6/6 + 19*h**5/20 + 131*h**4/24 - 77*h**3/24 - 121*h**2/4 - 117*h - 2. Determine i so that o(i) = 0.
-2, -1, 1, 11
Let l(p) be the second derivative of 29/15*p**3 + 6*p**2 - 2 - 8*p - 1/30*p**4. Factor l(a).
-2*(a - 30)*(a + 1)/5
Let f be (8 - -10)/(7/2 + -2). Let n(z) = -z**2 + 12*z + 2. Let s be n(f). Let 2*m**2 + 23*m + s*m**3 - 5 - 9*m - 1 - 12*m**2 = 0. Calculate m.
1, 3
Let d be 2/((-4)/6)*(106920/(-20))/66. Factor 1/9*c**3 - 2187 - 9*c**2 + d*c.
(c - 27)**3/9
Suppose -3*o + 28 = -2*l, -2*l = 3*o - 8*o + 52. Let v be (-12)/(-2)*(-9)/