 Let -10/7*g - 2/7*g**3 + p + 8/7*g**2 = 0. What is g?
1, 2
Let d(n) be the first derivative of 32 + 4/5*n**2 + 1/50*n**5 - 1/10*n**4 + 5*n + 0*n**3. Let z(b) be the first derivative of d(b). Factor z(i).
2*(i - 2)**2*(i + 1)/5
Determine f so that -20 - 94 + 85*f + 16*f**2 - f**3 + 14 = 0.
-5, 1, 20
Let k be 270/35*(-14)/(-3). Find q, given that -764*q + 779*q - 6*q**3 + k - 18*q**2 + 9*q**3 = 0.
-1, 3, 4
Suppose 5*n + 2*q - 4*q + 21 = 0, n = 4*q + 3. Let w be -4 - (4 + n)*6. Let -21*r - 8*r**4 - 4*r**5 + 3*r**2 + r**w + 4*r**4 + 13*r + 12*r**3 = 0. Calculate r.
-2, -1, 0, 1
Let l(h) = -h**3 + 7*h**2 + 4*h + 6. Let j be l(7). Factor 5*m + m**2 + 26*m - j*m.
m*(m - 3)
Let o(b) be the first derivative of -13 + 55/3*b**3 - 155*b - 50*b**2. Let j(l) = 5*l**2 - 9*l - 14. Let q(r) = -65*j(r) + 6*o(r). Find u, given that q(u) = 0.
-1, 4
Let h = -65259 - -65259. Factor -2*f**3 + 0*f**4 + 4/3*f**2 + 0*f + 2/3*f**5 + h.
2*f**2*(f - 1)**2*(f + 2)/3
Let m(o) be the first derivative of o**6/15 + 2*o**5/5 - o**4/2 - 10*o**3/3 + 8*o**2 - 138*o - 177. Let b(f) be the first derivative of m(f). Factor b(a).
2*(a - 1)**2*(a + 2)*(a + 4)
Suppose -108 + 1/3*g**2 + 9*g = 0. Calculate g.
-36, 9
Suppose 2*p - 5*t = 550 - 141, 3*p - 5*t - 611 = 0. Suppose -6*a + p = 190. What is j in 1/8*j**5 + 0*j - 1/4*j**4 + 1/8*j**3 + 0 + 0*j**a = 0?
0, 1
Let v(p) = 7*p**2 - 46*p - 47. Let b(k) = 2*k**2 - k - 1. Suppose -3*q + 4*n = 24, 5*n = -3*q + q + 7. Let j(o) = q*v(o) + 12*b(o). Factor j(f).
-4*(f - 44)*(f + 1)
Let c = -191 - -193. Solve 93*b**2 + 83*b**c + 128*b - 174*b**2 = 0 for b.
-64, 0
Let k(c) be the second derivative of 0 - 1/72*c**6 - 1/6*c**3 + 0*c**4 - 1/12*c**5 + 0*c**2 - 12*c. Let m(t) be the second derivative of k(t). Factor m(l).
-5*l*(l + 2)
Let q(g) = 3*g**2 + 139*g + 183. Let p be q(-45). Let j(l) be the first derivative of 32 + 16*l**2 + 28*l + 4/3*l**p. Find k such that j(k) = 0.
-7, -1
Let x be (6/7)/((-56)/(-1204)) - 15. Find p such that 10/7*p**2 - x + 2/7*p**3 - 16/7*p = 0.
-6, -1, 2
Let b(f) be the second derivative of -f**4/36 + 6*f**3 + 464*f**2/3 + 2*f - 3380. Solve b(a) = 0.
-8, 116
Let g(l) be the second derivative of l**5/60 + l**4/2 - 14*l**3/3 + 41*l**2 + 3*l - 10. Let o(j) be the first derivative of g(j). Factor o(p).
(p - 2)*(p + 14)
Let h(d) be the second derivative of -23*d**5/5 + 7*d**4 + 32*d**3 + 8*d**2 - 793*d. Factor h(f).
-4*(f - 2)*(f + 1)*(23*f + 2)
Let b(c) be the second derivative of -c**4/78 - 19*c**3/13 + 58*c**2/13 + 430*c. Suppose b(m) = 0. Calculate m.
-58, 1
Let s(h) be the third derivative of h**6/420 - h**5/7 + 24*h**4/7 - 288*h**3/7 + 258*h**2. Determine k, given that s(k) = 0.
6, 12
Factor 7744/7 + 1/7*j**2 - 176/7*j.
(j - 88)**2/7
Let p = -1411 + 1867. Let z be ((-45)/(-24))/(-5) - (-3211)/p. Factor 4/3*b**2 + z*b - 8.
4*(b - 1)*(b + 6)/3
Let g(l) be the second derivative of -l**5/110 + 51*l**4/11 - 203*l**3/11 + 304*l**2/11 - 6342*l. Factor g(v).
-2*(v - 304)*(v - 1)**2/11
Suppose -26*k = -23*k - 705. Let 124*j - 28 - k*j + 131*j + 8*j**2 = 0. Calculate j.
-7/2, 1
Let 135*v - 183*v**2 - 4*v**3 - 2014 - 399*v - 351*v**2 + 2280 = 0. What is v?
-133, -1, 1/2
Let r = -558 + 7264/13. Let s = -44/91 + r. Factor -1/7*a**3 + 0*a**2 - 1/7*a**5 - s*a**4 + 0 + 0*a.
-a**3*(a + 1)**2/7
Let x = -6/6275 - -175718/18825. Factor -32/9 + 20/9*i**3 + 92/9*i + 4/9*i**4 - x*i**2.
4*(i - 1)**3*(i + 8)/9
Let v(n) = 4*n + 0 - 5*n**3 - 5*n**2 + 2 + 1 - 6. Let a(x) = -4*x**3 - 4*x**2 + 4*x - 2. Suppose -121 = -21*u + 5. Let b(m) = u*a(m) - 4*v(m). Factor b(w).
-4*w*(w - 1)*(w + 2)
Factor 1264/9*h + 4/9*h**2 + 99856/9.
4*(h + 158)**2/9
Factor -2/3*r**3 + 570*r**2 + 15432750 - 162450*r.
-2*(r - 285)**3/3
Factor 1/2*w**2 - 215 + 213/2*w.
(w - 2)*(w + 215)/2
Let c(a) be the second derivative of -a**5/5 + 37*a**4/3 - 71*a - 24. What is l in c(l) = 0?
0, 37
Let u(j) be the first derivative of 5*j**6/18 - 4*j**5/5 - 14*j**4/3 + 38*j**3/3 + 33*j**2/2 - 18*j - 871. Find g such that u(g) = 0.
-3, -1, 2/5, 3
Let m = 284 - 281. Find l such that -15*l**2 - 1 + 12*l**2 + 3*l**m - 27*l + 28 = 0.
-3, 1, 3
Let u be (-180)/(-9072) + 3/84. Let o(n) be the second derivative of 0 - 4/9*n**3 - 4/3*n**2 - u*n**4 - 8*n. Factor o(f).
-2*(f + 2)**2/3
Let y(p) = -35629*p - 70382. Let g be y(-2). Factor 18*n**3 + 27*n**4 + 2304*n + 3/2*n**5 - g*n**2 - 1728.
3*(n - 2)**3*(n + 12)**2/2
Solve -2/11*c**2 + 90/11*c + 728/11 = 0.
-7, 52
Let m(u) be the second derivative of -u**7/210 + 7*u**6/150 + 3*u**5/100 - 43*u**4/60 - 31*u**3/15 - 12*u**2/5 + 11*u - 22. Let m(c) = 0. What is c?
-1, 4, 6
Let m(o) be the second derivative of -o**8/2240 + o**7/120 + o**6/240 - 7*o**5/40 - 23*o**4/4 - o + 55. Let q(j) be the third derivative of m(j). Factor q(u).
-3*(u - 7)*(u - 1)*(u + 1)
Let j(l) be the second derivative of l**7/15120 - l**6/1080 - l**5/144 + 13*l**4/6 + 84*l. Let w(b) be the third derivative of j(b). Factor w(a).
(a - 5)*(a + 1)/6
Let x(j) be the first derivative of -2*j**5/55 - 4*j**4/11 + 6*j**3/11 + 793. Determine v so that x(v) = 0.
-9, 0, 1
Let l(c) = -c**2 - 8*c - 3. Let o be l(-3). Let n be (-1 + 25/20)*o. Find y such that 18*y + 2*y - 8*y + 0*y - 3*y**n = 0.
-2, 0, 2
Let i = -288431 + 288433. Suppose 24 - 477/5*f + 348/5*f**i + 9/5*f**3 = 0. What is f?
-40, 1/3, 1
Suppose -252 = 11*y - 33*y - 6*y - 196. Factor 2/3*q**y + 16/3 - 2/3*q**3 + 20/3*q.
-2*(q - 4)*(q + 1)*(q + 2)/3
Let z(w) be the second derivative of w**4/54 - 94*w**3/27 - 97*w**2/3 - 1044*w - 1. Factor z(x).
2*(x - 97)*(x + 3)/9
Let m be 64/36 - (-18)/81. Suppose 141 - 1283*u + 3735*u**m - 77*u - 19 + 18 - 2025*u**3 = 0. What is u?
2/9, 7/5
Let 9*w**3 + 87*w**2 - 6*w**3 - 6*w**3 - 93*w**2 + 18*w + 6*w = 0. What is w?
-4, 0, 2
Suppose 724*p - 1418 = 15*p. Factor -2/13*b**p - 8/13 + 10/13*b.
-2*(b - 4)*(b - 1)/13
Let r(s) be the third derivative of 1/24*s**6 - 1/6*s**3 + 0 + 10*s**2 + 1/3*s**5 + 0*s + 5/6*s**4. Let u(d) be the first derivative of r(d). Factor u(l).
5*(l + 2)*(3*l + 2)
Let i(x) be the third derivative of x**5/270 - 4*x**4/27 + 216*x**2. Suppose i(t) = 0. What is t?
0, 16
Factor -27/4 - 117/4*g - 75/4*g**3 - 165/4*g**2.
-3*(g + 1)*(5*g + 3)**2/4
Let j(h) be the first derivative of -3*h**4 + 1426*h**3/3 + 119*h**2 - 8638. Factor j(i).
-2*i*(i - 119)*(6*i + 1)
Let u be 8 + 252392/294 + (-4)/3. Let z = u + -864. Factor -6/7 - 2/7*r**2 - z*r.
-2*(r + 1)*(r + 3)/7
Suppose -1943*m + 1919*m + 148 = -68. Factor -3/2*z**2 - 15/2 + m*z.
-3*(z - 5)*(z - 1)/2
Let n be (30/5192)/(603/105592). Let j = 14/177 + n. Factor 20/11*z - 2/11*z**4 - 6/11 + j*z**3 - 24/11*z**2.
-2*(z - 3)*(z - 1)**3/11
Let x(y) be the first derivative of 0*y + 3/5*y**2 + 2/15*y**3 - 199. Find v such that x(v) = 0.
-3, 0
Let z be 2*5*(96/(-6))/(-8). Suppose z = 2*n - 3*b, -4*n + 6 = 2*b - 18. Let -2*u**2 + 2*u**5 - 10*u**2 - 5*u**4 + 5*u**3 + 17*u**3 - n*u**4 = 0. Calculate u.
0, 1, 2, 3
Solve -4*f**2 - 389*f + 980 - 526*f + 393*f - 251*f - 203*f = 0.
-245, 1
Let o(t) be the first derivative of 68/23*t**2 - 2312/23*t - 2/69*t**3 - 21. Factor o(j).
-2*(j - 34)**2/23
Suppose 22*j + 24 = 2. Let z be ((-144)/192)/(((-6)/(-4))/j). Factor 5/8*d**3 - 1/2*d - z*d**2 + 0 + 3/8*d**4.
d*(d - 1)*(d + 2)*(3*d + 2)/8
Let z(d) be the third derivative of d**6/40 - 137*d**5/20 + 271*d**4/8 - 135*d**3/2 - 2871*d**2 - 1. Solve z(s) = 0.
1, 135
Let j(m) = -m**3 + 19*m**2 - 16*m + 23. Let l be j(15). Let 3 + 9*u**3 - 686*u**4 - 33*u + 9*u**2 + l*u**4 + 15 = 0. What is u?
-2, 1, 3
Let c(v) = -120*v**2 + 4*v + 2. Let p be c(2). Let b = p - -470. Suppose b - 3/2*m + 3/8*m**2 = 0. Calculate m.
0, 4
Let u(r) be the third derivative of r**7/4200 - r**6/360 - r**5/100 - 37*r**3/2 + 152*r**2. Let m(s) be the first derivative of u(s). Let m(o) = 0. What is o?
-1, 0, 6
Let y(g) = -8 - 6*g + 6 + g - g**2 + 5. Let a be y(-5). Find f such that 0*f**a + 12*f**4 + 33*f**2 - 13*f**2 - 8*f**4 - 16*f**3 - 8*f = 0.
0, 1, 2
Let h = 7 + -3. Let q = -226 + 234. Find x such that 4*x + 2*x**h - x**4 - 12*x**2 + 8 - 4*x**3 + q*x**4 - 5*x**4 = 0.
-1, 1, 2
Factor -4/3*y**4 - 488/3*y**3 + 0*y**2 + 0*y + 0.
-4*y**3*(y + 122)/3
Let p be (17580/14)/5 - (30/18)/((-110)/396). Factor p + 1562/7*r**2 + 3120/7*r + 242/7*r**3.
2*(r + 1)*(11*r + 30)**2/7
Let u be (-11)/(-2) - 7/14. 