t l(c) = 0.
-1, 2, 6
Let l = 1479/11080 - 1/6648. Let j(b) be the second derivative of 0 + 0*b**3 + 0*b**5 + 2/3*b**4 - l*b**6 + 16*b - 2*b**2. What is x in j(x) = 0?
-1, 1
Determine o so that 316/5*o**3 - 4262/5*o**2 + 520*o - 6/5*o**4 + 1352/5 = 0.
-1/3, 1, 26
Let o(i) be the third derivative of i**7/1260 - i**6/120 - i**5/360 + i**4/24 + 11*i**2 + 12*i. Suppose o(a) = 0. Calculate a.
-1, 0, 1, 6
Suppose -7*g + 92 = 16*g. Suppose 2*j**3 + 0*j**4 + g*j**5 - 19*j**5 + 14*j**5 - j**4 = 0. Calculate j.
-2, 0, 1
Suppose -3*f + 30 = 2*p, -p + 4*f = 8*f - 25. Factor 7*d**2 - 19*d**2 + 8*d + p + 6 + 13*d**2.
(d + 3)*(d + 5)
Let h(a) = 174*a**4 + 3273*a**3 + 378*a**2 - 120*a. Let l(z) = 175*z**4 + 3271*z**3 + 377*z**2 - 118*z. Let w(r) = 5*h(r) - 6*l(r). Let w(k) = 0. What is k?
-18, -1/4, 0, 2/15
Let u(n) = -43*n**3 + 6*n**2 - 39*n. Let r be (12/(-10))/((-13)/(-65)). Let q(f) = -7*f**3 + f**2 - 6*f. Let z(s) = r*u(s) + 39*q(s). Factor z(k).
-3*k**2*(5*k - 1)
Let w = 287050 + -287048. What is k in 0 + 0*k + 0*k**w + 12/13*k**3 - 10/13*k**4 - 2/13*k**5 = 0?
-6, 0, 1
Suppose 4*a - r = -3*r + 16, -a - 7 = -5*r. Let q be (-6)/(-4) - (5/2 - a). Solve 5*f - 3 - f - f**q - 1 = 0.
2
Let t(x) = -17*x**2 + 69051*x + 149022848. Let i(b) = 130*b**2 - 517882*b - 1117671360. Let d(k) = -5*i(k) - 38*t(k). Factor d(f).
-4*(f + 4316)**2
Suppose a - 10 = 5*z, 112 = -7*a + 11*a + 4*z. Factor 25*l + a*l - 5*l**2 + 80 + 14*l**2 - 4*l**2.
5*(l + 2)*(l + 8)
Let u = -658131/5 - -131627. Factor -12/5 + 2/5*l**3 + u*l**2 - 2*l.
2*(l - 2)*(l + 1)*(l + 3)/5
Suppose -35*q + 4174 - 4104 = 0. Factor 16/5*n - 2/5*n**q - 32/5.
-2*(n - 4)**2/5
Suppose 4*d - 3*z - 17 = -4*z, -2*z - 18 = -5*d. Suppose 4*t + d*g - 28 = -8, -g = -5*t - 5. Factor -1/3*r**5 + 0*r + 0*r**2 - r**4 - 2/3*r**3 + t.
-r**3*(r + 1)*(r + 2)/3
Let a(h) be the second derivative of -h**5/40 - 401*h**4/12 - 160801*h**3/12 - 83*h - 24. Let a(f) = 0. What is f?
-401, 0
Let c = 91109/9 + -10123. Factor -40/9*w - 8/9*w**3 + 4*w**2 + 14/9 - c*w**4.
-2*(w - 1)**3*(w + 7)/9
Let j = -18833 - -18833. Factor 1/6*m**4 + 0 + j*m - 1/3*m**3 + 1/6*m**5 + 0*m**2.
m**3*(m - 1)*(m + 2)/6
Let r = 1505/13 - 12895/117. Let p(c) be the second derivative of 0 + 85/36*c**4 + r*c**3 + 1/3*c**5 - 19*c + 10/3*c**2. Factor p(g).
5*(g + 2)**2*(4*g + 1)/3
Let n(w) be the first derivative of 14*w**2 + 0*w - 5/36*w**3 + 29 - 1/24*w**4 - 1/360*w**5. Let b(z) be the second derivative of n(z). Solve b(g) = 0 for g.
-5, -1
Let c(w) = 13*w**3 + 74*w**2 + 1150*w + 6. Let j(f) = 41*f**3 + 223*f**2 + 3449*f + 19. Let o(t) = 19*c(t) - 6*j(t). Factor o(m).
m*(m + 34)**2
Factor -55440*j + 396900 - 44*j**3 + 1/4*j**4 + 2566*j**2.
(j - 70)**2*(j - 18)**2/4
Let m = -16 + 20. Let n(u) = 7*u**2 + 35*u - 86. Let g(w) = 15*w**2 + 69*w - 171. Let i(q) = m*g(q) - 9*n(q). Suppose i(y) = 0. Calculate y.
-15, 2
Suppose 7*q = -2*w + 3*q - 100, 0 = 2*w - 5*q + 64. Let k = -39 - w. Determine y, given that -4*y - y**k + 10*y + 8 + 0*y**3 - 3*y**2 = 0.
-4, -1, 2
Let t(y) be the second derivative of 117*y + 14/51*y**4 + 4/17*y**2 + 0 - 11/85*y**5 - 1/357*y**7 + 8/255*y**6 - 1/3*y**3. Let t(z) = 0. Calculate z.
1, 4
Let l(c) be the third derivative of c**6/40 + 47*c**5/20 - 473*c**4/4 - 496*c**3 - 18*c**2 - 135. Factor l(f).
3*(f - 16)*(f + 1)*(f + 62)
Let z(g) be the third derivative of -g**6/24 - g**5/6 + 5*g**4/3 - 2589*g**2. Factor z(d).
-5*d*(d - 2)*(d + 4)
Let -2/5*d**3 - 8 + 42/5*d + 0*d**2 = 0. Calculate d.
-5, 1, 4
Let x(c) = -7*c - 2. Let t be 9/6*(28/6)/(-7). Let w be x(t). Solve -w*h**3 - 7*h + 2*h**4 - h**4 + 0*h**3 - 13*h**2 = 0 for h.
-1, 0, 7
Let b(s) = -s**4 - 128*s**3 + s**2 + 116*s + 3. Let n(x) = x**4 + 252*x**3 - x**2 - 232*x - 5. Let j(d) = -5*b(d) - 3*n(d). Let j(v) = 0. Calculate v.
-1, 0, 1, 58
Let s(h) be the second derivative of -1/3*h**4 + 8/3*h**3 + 0 + 8*h**2 + 6*h - 1/5*h**5. Suppose s(p) = 0. Calculate p.
-2, -1, 2
Suppose -92*m + 96*m = 156. Find r, given that -2*r**2 + 57*r - 338 - m*r + 34*r = 0.
13
Let m(r) = r**2 - 8*r + 19. Let k be m(9). Let j be k - 33 - 9/(-1). Determine a so that 27/5*a**2 + 0 - 12/5*a - 18/5*a**3 + 3/5*a**j = 0.
0, 1, 4
Let y(r) be the second derivative of -r**6/15 + 5*r**4/2 - 10*r**3/3 - 24*r**2 + 2803*r. Determine i, given that y(i) = 0.
-4, -1, 2, 3
Determine x, given that -2*x - 3*x**3 + 9/2*x**2 + 1/2*x**4 + 0 = 0.
0, 1, 4
Let g(i) be the first derivative of -10*i**5 - 1385*i**4 + 8114*i**3 + 11060*i**2 + 4600*i - 1600. Find f such that g(f) = 0.
-115, -2/5, 5
Let v(p) = -p**3 + 3*p**2 + p - 7. Let y(l) = 48*l**3 - 1074*l**2 + 6764*l - 9618. Let h(f) = 2*v(f) - y(f). Factor h(w).
-2*(w - 2)*(5*w - 49)**2
Factor -1/4*f**4 - 2211*f - 2111/2*f**2 - 4489/4 + 33*f**3.
-(f - 67)**2*(f + 1)**2/4
Suppose 22 = 75*u - 70*u + t, -2*u + 4*t = -22. Let i(v) be the first derivative of u*v**2 - 24 - 20*v - 5/12*v**3. Factor i(p).
-5*(p - 4)**2/4
Let i(w) be the first derivative of -w**6/120 + w**5/40 + 66*w - 12. Let f(q) be the first derivative of i(q). Let f(c) = 0. What is c?
0, 2
Let h be ((-1)/4*0*(-24)/72)/2. Let q(p) be the second derivative of -36*p + 5/3*p**3 - 1/6*p**4 + h - 6*p**2. Factor q(n).
-2*(n - 3)*(n - 2)
Let a(h) = h**4 + 2*h**3 + 4*h + 1. Let v(s) = 2715*s**3 + 5433*s**2 + 2703*s - 3. Let o(b) = 3*a(b) + v(b). Suppose o(u) = 0. Calculate u.
-905, -1, 0
Let j be 11 + (-84)/6 - (-10 - -1). Suppose -6 + j = 19*k. Suppose 1/3*y + 0*y**3 + 2/3*y**4 - 1/3*y**5 + k - 2/3*y**2 = 0. Calculate y.
-1, 0, 1
Let y(n) = -7*n**2 + 27*n - 36. Let h(f) = 124*f + 6. Let d be h(1). Let z(t) = 49*t + 11*t + 22 + 20*t - d - 20*t**2. Let g(w) = -8*y(w) + 3*z(w). Factor g(s).
-4*(s - 3)**2
Find l, given that 1737051 - 12*l**2 + 16*l**2 - 70370 + 16*l**2 - 2582*l - 19*l**2 = 0.
1291
Let y(x) be the second derivative of x**5/130 - 35*x**4/78 + 400*x**3/39 - 1500*x**2/13 - 4*x - 159. Solve y(i) = 0 for i.
10, 15
Let a(g) be the second derivative of 13/24*g**4 - 1/60*g**6 + 55*g + 1/10*g**5 - 3*g**2 + 0 - 1/3*g**3. Determine s, given that a(s) = 0.
-2, -1, 1, 6
Let g(s) be the second derivative of 39*s**5/160 + s**4/96 - s**3/12 + 1524*s. Suppose g(i) = 0. What is i?
-1/3, 0, 4/13
Suppose 0 = -3*r - 2*g + 39, 4*r + 2*g - 5 = 49. Determine t so that 4*t + r*t**2 - 16*t**2 - 16*t - t = 0.
-13, 0
Let v be (1/2)/((-9)/(-54)). Suppose 0*j + 5*q = -j - 13, -5*j - v*q = -1. Suppose r**5 + r**4 - 61 - j*r**3 + 61 = 0. Calculate r.
-2, 0, 1
Let t(c) be the second derivative of 3/20*c**5 + 0 - 24*c - 99/4*c**4 + 3267/2*c**3 - 107811/2*c**2. Find y such that t(y) = 0.
33
Suppose -12*z + 9*z + 72 = 0. Let w be 1 - 26/22 - z/(-11). Suppose -27*d - 58*d**4 + 10*d**4 + 68*d**w - 120*d**3 - 167*d**2 = 0. What is d?
-1, -3/4, 0
Let q(m) be the second derivative of 2 + 9/7*m**2 + 224*m - 1/28*m**4 + 5/14*m**3. Factor q(n).
-3*(n - 6)*(n + 1)/7
Let t(d) = -13*d**2 - d - 38 + 38 + 14*d**2. Let h(w) = -7*w**2 - 5*w - 12. Let s be (-72)/42 + 8/(-28). Let q(a) = s*h(a) - 10*t(a). Factor q(y).
4*(y + 2)*(y + 3)
Let s(z) be the third derivative of -z**7/945 - 5*z**6/108 + 58*z**5/135 - 54*z**2 - 12. Factor s(l).
-2*l**2*(l - 4)*(l + 29)/9
Let d(l) be the third derivative of l**8/25200 - l**7/900 + l**6/150 - 17*l**5/15 - 58*l**2. Let z(g) be the third derivative of d(g). Factor z(c).
4*(c - 6)*(c - 1)/5
Suppose -175*r = 63*r + 243*r - 962. Factor -6/13*m**r + 154/13*m + 4.
-2*(m - 26)*(3*m + 1)/13
What is l in -903*l**2 - 126 + 51900*l + 75*l**3 - 50703*l - 162*l**2 - 225 = 0?
3/5, 13
Solve -9/5*f**3 + 9/5*f - 23/5*f**2 + 22/5 + 1/5*f**4 = 0 for f.
-2, -1, 1, 11
Let l be (-10)/4*(0 + 2236/(-65)). Let o = l - 86. Factor -3/7*x**3 + o + 3/7*x**2 + 0*x.
-3*x**2*(x - 1)/7
Let t(d) be the third derivative of 4*d**7/105 - 25*d**6/12 + 57*d**5/2 - 455*d**4/6 + 176*d**3/3 + 91*d**2 + 19*d - 3. Let t(o) = 0. What is o?
1/4, 1, 8, 22
Let o(q) be the first derivative of -q**6/240 - 9*q**2/2 - 7. Let h(i) be the second derivative of o(i). Suppose h(b) = 0. Calculate b.
0
Let b = -988 + 1859. Let k = 7871/9 - b. What is i in -k*i**2 + 0 - 16/9*i**3 + 0*i - 2/9*i**4 = 0?
-4, 0
Let w be (-4 - (-6 + 2)) + -5 - -8. Let h be -5 + (-1)/w*-19. Suppose 4/3*k**3 + 8/3*k**2 + h*k + 0 = 0. Calculate k.
-1, 0
Suppose d - 949*d**3 - d - 40*d**2 - 959*d**3 + 1903*d**3 = 0. What i