1, 0, 2
Let -96*h**3 - 1563*h**4 - 1198 - 5282 + 1558*h**4 - 1485*h**2 - 54*h**3 - 5400*h = 0. Calculate h.
-12, -3
Let n = -176605 - -883077/5. Let -4/5*x**2 + 24 + n*x = 0. What is x?
-2, 15
Let p be (-1 - (0 - -1)) + 21. Suppose -27 = -22*v + p*v. Factor -2*b**3 + 2*b**4 - 6*b + b**2 + v*b**2 - 20*b**2.
2*b*(b - 3)*(b + 1)**2
Suppose -57 + 84 = 56*w - 85. Let d(v) be the first derivative of v**w - 4*v + 13 - 1/12*v**3. Factor d(f).
-(f - 4)**2/4
Suppose 39*z = -88*z + 16*z. Let p(s) be the first derivative of -22 - 1/4*s**2 + 1/3*s**3 - 1/8*s**4 + z*s. What is h in p(h) = 0?
0, 1
Let d be 54/405*210/84. Factor 0 - 1/3*x + d*x**3 + 1/2*x**2.
x*(x + 2)*(2*x - 1)/6
Let r(w) be the third derivative of -5*w**8/924 - 19*w**7/1155 + 38*w**6/165 + 23*w**5/22 - 3*w**4/11 + 7*w**2 - 2*w + 18. What is v in r(v) = 0?
-3, 0, 1/10, 4
Let c(s) be the second derivative of s**5/4 - 35*s**4/6 + 50*s**3 - 180*s**2 - 22*s + 8. Factor c(o).
5*(o - 6)**2*(o - 2)
Let r be (9 - (22 + -15))/(2/3). Let w(o) be the first derivative of -4/5*o + 2/15*o**r + 25 + 3/10*o**4 + 2/25*o**5 - 3/5*o**2. Factor w(z).
2*(z - 1)*(z + 1)**2*(z + 2)/5
Let r = 357 - 355. Let v = -1/906 + 3629/4530. Determine a, given that -6/5*a**4 + 22/5*a**3 + v - 22/5*a**r + 2/5*a = 0.
-1/3, 1, 2
Let p(t) = -61*t**2 + 47278*t - 79828768. Let w(v) = -9*v**2 + 6754*v - 11404109. Let x(f) = -16*p(f) + 108*w(f). Determine k, given that x(k) = 0.
3377
Let k(q) be the second derivative of -5*q**4/48 + 1485*q**3/4 - 3082*q. Solve k(u) = 0 for u.
0, 1782
Let c(p) be the third derivative of p**6/840 - p**5/5 + 21*p**4/2 + 445*p**2 - 2*p - 1. Find m such that c(m) = 0.
0, 42
Let d = -47/959 + 1328807/31647. Let s = -122/3 + d. Solve -2/11 + 16/11*g**2 - s*g**4 + 4/11*g**3 + 4/11*g - 8/11*g**5 = 0.
-1, 1/4, 1
Let y(o) be the second derivative of 17/18*o**4 - 2*o + 0*o**2 + 0 - 1/63*o**7 + 7/45*o**6 - 2/3*o**3 - 17/30*o**5. Determine h so that y(h) = 0.
0, 1, 2, 3
Suppose 10*c + 45 = 7*c - 5*u, 2*c - 5*u - 70 = 0. Suppose 26/3*t**2 + 76/3*t - 13*t**3 - 8/3*t**4 + 8 + 5/3*t**c = 0. Calculate t.
-2, -1, -2/5, 2, 3
Let p(x) = -10*x. Let f be p(1). Let q be 4/14*(f/(-1) - 3). What is r in -9*r**4 + 18 - 24*r - 45*r**q + 6*r + 48*r**3 + 6 = 0?
-2/3, 1, 4
Let c(v) be the second derivative of 3/100*v**5 - 12 - 96/5*v**2 - 3/5*v**4 - v + 24/5*v**3. Factor c(o).
3*(o - 4)**3/5
Let k(s) be the third derivative of -1/120*s**5 - 3 - 4*s**2 - 5/48*s**4 + 0*s - 1/3*s**3. Factor k(t).
-(t + 1)*(t + 4)/2
Let u be 502/476 + 60/320*8. Let x = u + -32/119. Let -x*t**2 + 1/7*t**3 - 2 + 29/7*t = 0. Calculate t.
1, 14
Let o(h) be the third derivative of 1/252*h**6 + 2/105*h**5 - 9*h**2 - 11/252*h**4 - 2/21*h**3 + 0*h + 0. Factor o(v).
2*(v - 1)*(v + 3)*(5*v + 2)/21
Let d(j) = -334*j**2 - 933*j - 31. Let r(y) = -1335*y**2 - 3735*y - 125. Let h(b) = 55*d(b) - 14*r(b). Let h(f) = 0. What is f?
-3, -3/64
Let b be (75/(-18))/(17/(-272)*60). Factor 4/3 - b*t + 2/9*t**2.
2*(t - 3)*(t - 2)/9
Factor -1899/8*d**3 - 303/8*d**4 + 0 - 2889/8*d**2 + 0*d + 3/8*d**5.
3*d**2*(d - 107)*(d + 3)**2/8
Factor -34 + i**3 + 81*i - 81*i - 4*i**2 + 34.
i**2*(i - 4)
Let m be (-9)/(-3) + 3/(-2). Let u be (-22)/(-4)*(-53)/((-15741)/108). Factor 3*y**u - 3/2*y - m*y**3 + 0.
-3*y*(y - 1)**2/2
Let y(g) be the third derivative of 0*g + 1/24*g**6 + 125/3*g**3 + 25/24*g**4 - 11*g**2 - 2/3*g**5 - 2. Factor y(k).
5*(k - 5)**2*(k + 2)
Suppose -4*f - 4 = -16. Suppose 0 = 22*c - 24*c + 30. Solve -5*b - 10*b**2 - 8*b**3 + c*b**3 - 12*b**f = 0 for b.
-1, 0
Let t(g) be the third derivative of -g**7/630 - 13*g**6/180 + 7*g**5/15 + 17*g**4/24 + 18*g**2 + 2. Let b(c) be the second derivative of t(c). Factor b(q).
-4*(q - 1)*(q + 14)
Solve -700*x**2 + 126026 + 78079 - 2*x**2 - 16131 - 60534*x - 2*x**3 = 0.
-177, 3
Let p(q) be the third derivative of -q**8/10920 + q**7/2730 - q**6/2340 + 40*q**3/3 + 2*q**2 + q. Let z(x) be the first derivative of p(x). Factor z(b).
-2*b**2*(b - 1)**2/13
Solve 508 - 63845*w**2 - 621*w - 553 - 2769*w = 0 for w.
-3/113
Let r(q) = 2*q**2 - 19*q - 11. Let l be r(10). Let k(x) = 5*x**2 + 23*x - 9. Let c(p) = p**2 - p - 3. Let b(v) = l*k(v) + 3*c(v). Factor b(m).
-2*m*(m + 13)
Let l = 107 + -103. Suppose -4*x - l*t = -4, 0 = 6*x - 7*x - 4*t - 2. Factor 2*u**3 + 4 - 10*u + x*u**4 + 2 - 6*u**2 - 10.
2*(u - 2)*(u + 1)**3
Let k(n) be the third derivative of -1/24*n**6 - 5/2*n**3 - 1/12*n**5 - 90*n + 25/24*n**4 + 0 - 2*n**2. Solve k(t) = 0 for t.
-3, 1
Let c(g) be the third derivative of -10*g + 0 + 13*g**2 + 31/270*g**5 - 29/540*g**6 - 10/9*g**3 + 29/108*g**4 - 1/945*g**7. Find d such that c(d) = 0.
-30, -1, 1
Suppose 5*g - 6 = -g. Let f(a) = 3*a**3 + a**2 - 1. Let c be f(g). Let r**3 + 3*r - 5*r**3 + 2 - 4*r - 3*r**2 + r**4 + 5*r**c = 0. What is r?
-2, -1, 1
Let n(d) = -d + 10. Let b be n(6). Determine r, given that -2224*r**2 - 5*r**3 - 5*r**b + 2224*r**2 = 0.
-1, 0
Let v be (14105/26)/7 + -97 + 91. Solve 0*z + 1/2*z**5 - 169/2*z**2 + 25/2*z**4 + 0 + v*z**3 = 0 for z.
-13, 0, 1
Let n(j) = j**3 + 3*j**2 - 4*j + 3. Suppose 3*b - 52 = 16*b. Let l be n(b). Find o, given that o**l + 1/5*o - 6/5*o**2 + 0 = 0.
0, 1/5, 1
Let s = 96/26407 + -869056194/501733. Let f = -1732 - s. Let 16/19 + 12/19*y + f*y**2 = 0. What is y?
-4, -2
Let l = -326818/15 + 21788. Factor -2/15*q**2 + 4/15*q + l*q**4 - 4/15*q**3 + 0.
2*q*(q - 2)*(q - 1)*(q + 1)/15
Let i(r) be the first derivative of -19*r**6/2 - 33*r**5 - 153*r**4/4 - 13*r**3 + 3*r**2 + 102. Factor i(w).
-3*w*(w + 1)**3*(19*w - 2)
Let u(l) = -l**3 - 2*l**2 - 16*l - 85. Let a be u(-5). Find n, given that -8*n**5 + 0*n - 30*n - a*n**3 - 115*n**4 + 108*n**5 + 115*n**2 = 0.
-1, 0, 2/5, 3/4, 1
Let b = -17421/4 - -4359. Let c(z) be the first derivative of 3 + z**5 + 5*z**3 - 5/2*z**2 + 0*z - b*z**4. Solve c(g) = 0 for g.
0, 1
Let d(u) be the second derivative of -u**4/66 - 117*u**3/11 + 32*u**2 + 194*u + 1. Suppose d(i) = 0. What is i?
-352, 1
Determine d so that 16/7*d**3 - 4*d**2 - 136/7*d + 4/7*d**4 - 96/7 = 0.
-4, -2, -1, 3
Let g(d) be the third derivative of 1/180*d**6 + 0 - 1/24*d**5 - 8/3*d**3 - 7*d**2 + 0*d + 1/12*d**4. Let w(p) be the first derivative of g(p). Factor w(s).
(s - 2)*(2*s - 1)
Let q(i) = -i**4 + 2*i**3 - 2. Let t(w) = -32*w**4 - 58*w**3 - 426*w**2 - 130*w - 52. Let z(a) = -52*q(a) + 2*t(a). Suppose z(g) = 0. What is g?
-13, -5, -1/3, 0
What is b in -130 - 62*b**2 + 212*b**2 - 90*b**2 - 5*b**3 + 23*b + 59*b - 7*b = 0?
-2, 1, 13
Let q = -269117/15 + 17942. Let v(g) be the third derivative of 11/6*g**4 + 0*g + 0 - 4/3*g**3 + 25*g**2 + q*g**5. Find n, given that v(n) = 0.
-1, 2/13
Let g(v) be the second derivative of v**6/12 + 109*v**5/20 - 313*v**4/24 + 15*v**3/2 - 798*v. Let g(c) = 0. Calculate c.
-45, 0, 2/5, 1
Let y = -5888/79 - -119456/1501. What is i in 2/19*i**3 + 26/19*i**2 + 72/19 + y*i = 0?
-6, -1
Suppose 713*j = 715*j - 406. Suppose j = 8*o + 187. Let 20/3 - 8*b + 4/3*b**o = 0. Calculate b.
1, 5
Let g(y) be the first derivative of -y**4/4 - 494*y**3/3 - 493*y**2/2 - 400. What is o in g(o) = 0?
-493, -1, 0
Let n = 504 - -39. Find v such that -945*v**4 - 940*v**2 - 135*v**5 - 1530*v**3 - 328*v + 671*v - n*v = 0.
-5, -2/3, 0
Let j(s) be the first derivative of 2/15*s**3 + 0*s + 181 - 24/5*s**2. Factor j(q).
2*q*(q - 24)/5
Suppose 3*g - 3*k + 981 = 0, -g - 2*g = 4*k + 981. Let o = 333 + g. Let -6*i + 3/2*i**2 + o = 0. What is i?
2
Let m(k) be the first derivative of 2*k**5/85 - 1384*k**4/17 + 1915456*k**3/17 - 1325495552*k**2/17 + 458621460992*k/17 - 11621. Factor m(y).
2*(y - 692)**4/17
Let z be ((-8715)/22659)/((-10)/52). Solve 7/4*u**3 - 3/4*u**z - 2*u - 1/2*u**4 + 1 = 0 for u.
-1, 1/2, 2
Let t(q) = -33*q**3 + 20000*q**2 - 1204*q - 4815. Let k be t(606). Let i(l) = l + 9. Let z be i(-7). Determine y so that -3/2*y**z - 363/2 + k*y = 0.
11
Let i = 6544958/11 - 594996. Factor -2*c**2 - 24/11*c + 0 + i*c**3.
2*c*(c - 12)*(c + 1)/11
Let u(i) be the third derivative of -1/32*i**6 - 3/280*i**7 + 0*i - 1/896*i**8 + 84*i**2 + 0*i**5 + 0 + 3/8*i**3 + 11/64*i**4. Solve u(y) = 0.
-3, -2, -1, 1
Suppose 2*d = 3*d + 3. Let s(r) = -r**3 - 6*r**2 - 9*r + 4. Let b be s(d). Let -1 - 8*n**b - 43*n**2 + 36*n**3 - n**2 + 17 = 0. Calculate n.
-1/2, 1, 2
Suppose -b - 753 = -5*p - 2404, -2*p - 4888 = -3*b. Let q = 6