-2, -1
Let f(z) be the third derivative of z**8/504 - z**7/45 - z**6/10 + z**2 + 712*z. Suppose f(t) = 0. Calculate t.
-2, 0, 9
Let j be -14 - (-406 + 388)*17/21. Solve 0 - j*o + 60/7*o**2 = 0 for o.
0, 1/15
Let j(u) be the first derivative of u**3 - 969*u**2/2 - 1950*u + 1763. Solve j(n) = 0.
-2, 325
Let r(y) be the first derivative of -22 + 0*y + 11/2*y**2 - 9/4*y**4 - 3/10*y**5 - 1/60*y**6 - 9*y**3. Let f(i) be the second derivative of r(i). Factor f(x).
-2*(x + 3)**3
Let p(w) be the third derivative of -w**6/24 - 5*w**5/4 + 10*w**4/3 + 1488*w**2. Determine j so that p(j) = 0.
-16, 0, 1
Let c(x) be the third derivative of 3/4*x**4 - 13/20*x**5 + 1/40*x**6 + 0*x**3 + 1/35*x**7 + 0 - 34*x**2 - x. Factor c(b).
3*b*(b - 2)*(b + 3)*(2*b - 1)
Let q = 4322/10129 + 19/10129. Factor -q*w**2 - 39/7 + 6*w.
-3*(w - 13)*(w - 1)/7
Let i(f) be the second derivative of 0*f**2 + 4/3*f**3 - 7/2*f**5 - 34/3*f**4 + 0 - 80*f. Find z, given that i(z) = 0.
-2, 0, 2/35
Suppose z + 1151 = 461. Let q = 3452/5 + z. Determine i so that -q*i**2 + 4/5*i + 0 = 0.
0, 2
Let h(w) = -14*w**3 - 784*w**2 + 45. Let q(j) = 3*j**3 + 196*j**2 - 10. Let l(b) = 2*h(b) + 9*q(b). Determine k, given that l(k) = 0.
0, 196
Solve 2/3*g**2 + 0 - 620/3*g = 0 for g.
0, 310
Let h(v) = 3*v**2 + 7*v - 1. Let x be h(-3). Let g be (-1 + x)*(-24)/(-48). Let 3*t**g - 3*t**2 - 4*t**4 - 4*t**3 - 4*t**4 = 0. What is t?
-1/2, 0
Let d(x) be the second derivative of x**5/70 - 5*x**4/14 + 24*x**3/7 - 16*x**2 - 3*x - 362. Factor d(a).
2*(a - 7)*(a - 4)**2/7
Suppose 4*j - 69 = 5*f + 178, -j + 65 = 2*f. Suppose -6 + 120*y**3 + 8*y**2 + 2 - 4*y**4 + 4*y**5 - j*y**3 - 65*y**3 + 4*y = 0. Calculate y.
-1, 1
Let o(r) be the second derivative of 0 + 3*r + 1/30*r**4 - 7/2*r**2 + 1/150*r**5 + 1/15*r**3. Let f(i) be the first derivative of o(i). Let f(l) = 0. What is l?
-1
Let y(j) be the first derivative of j**7/42 + j**6/24 + j**5/80 + 19*j - 87. Let c(w) be the first derivative of y(w). Solve c(n) = 0.
-1, -1/4, 0
Let a(k) be the first derivative of k**5/120 + k**4/48 - k**3 - 13*k**2/2 - k - 67. Let c(t) be the second derivative of a(t). Factor c(v).
(v - 3)*(v + 4)/2
Let q(m) be the first derivative of -13/4*m**2 - 3*m - 4/3*m**3 - 1/8*m**4 + 82. Find z, given that q(z) = 0.
-6, -1
Suppose -14/5*h + 0 - 1/5*h**2 + 1/5*h**4 + 14/5*h**3 = 0. Calculate h.
-14, -1, 0, 1
Let d(x) be the third derivative of -x**5/20 + 133*x**4/4 - 17689*x**3/2 + x**2 + 1963*x. Solve d(z) = 0 for z.
133
Let p(t) be the first derivative of 1/6*t**4 + 4*t**2 + 31 + 7*t - 5/3*t**3. Let h(f) be the first derivative of p(f). Solve h(b) = 0 for b.
1, 4
Let c(v) = 6*v - 279. Let f be c(47). Let a(g) be the first derivative of 9/10*g**2 - 8/5*g - 1/15*g**f - 45. Determine y so that a(y) = 0.
1, 8
Let w(c) be the third derivative of 9*c**2 + 11/30*c**5 + 100/3*c**3 + 35/6*c**4 + 1/120*c**6 + 4 + 0*c. Determine l, given that w(l) = 0.
-10, -2
Factor -1/7*p**3 - 3752 - 162/7*p**2 - 564*p.
-(p + 14)**2*(p + 134)/7
Factor 12*m + 64/3 - 10*m**2 - 2/3*m**3.
-2*(m - 2)*(m + 1)*(m + 16)/3
Let a(q) be the third derivative of q**6/420 + 19*q**5/105 + 10*q**4/3 + 70*q**2 + 10*q. Factor a(z).
2*z*(z + 10)*(z + 28)/7
Let l be ((-2)/4)/((-138)/6348) + -21. Determine n so that -30/7 + 9*n**l + 309/7*n = 0.
-5, 2/21
Let a = -106220 - -106220. Factor -36/11*t**4 + 24/11*t**3 + 0 + 10/11*t**5 + 16/11*t**2 + a*t.
2*t**2*(t - 2)**2*(5*t + 2)/11
Let d(f) be the second derivative of -f**7/504 + f**6/16 - f**5/3 - f**4/6 + 14*f**2 - 42*f. Let j(m) be the third derivative of d(m). Factor j(g).
-5*(g - 8)*(g - 1)
Let r(c) = 3*c**2 + 2. Let g(s) = 15*s**2 + 232*s - 138. Let a(k) = 2*g(k) - 14*r(k). Factor a(v).
-4*(v - 38)*(3*v - 2)
Let w be (-3)/(-7) + (-108)/(-42). Find c such that 10*c**2 - 160*c + c**3 - 31*c**2 + 4*c**w + c**2 = 0.
-4, 0, 8
Let m(v) be the first derivative of -4*v**3 + 3/2*v**2 + 9*v - 45. Let m(i) = 0. Calculate i.
-3/4, 1
Let b be (-126)/(-12)*(9 + (-1020)/119). Factor -11/4*y**2 + b - 97/4*y.
-(y + 9)*(11*y - 2)/4
Let j(o) = -2*o**2 + 134*o - 380. Let n be j(3). Find h such that 8/13*h + 0 - 6/13*h**3 - 2/13*h**n + 0*h**2 = 0.
-2, 0, 1
Suppose 58*h + 249*h + 54 - 54 = 0. Factor -2/11*y**3 + 24/11*y + h - 2/11*y**2.
-2*y*(y - 3)*(y + 4)/11
Let j(d) be the third derivative of -d**6/660 - d**5/110 + 61*d**4/132 + 21*d**3/11 + 42*d**2. Factor j(n).
-2*(n - 7)*(n + 1)*(n + 9)/11
Let k(g) be the second derivative of g**7/504 + g**6/24 - 2*g**5/3 - 9*g**4/4 + g - 17. Let b(x) be the third derivative of k(x). Suppose b(w) = 0. Calculate w.
-8, 2
Let s be (-76)/(-8) - (1295/70 + -13). Solve 1/3*k**5 + 2/3*k**2 - 5/3*k**s + 1 - 7/3*k + 2*k**3 = 0 for k.
-1, 1, 3
Let k(a) be the second derivative of -a**7/273 + 343*a**6/195 - 2924*a**5/13 - 14792*a**4/39 + 25*a - 8. Let k(d) = 0. Calculate d.
-1, 0, 172
Find n such that -4*n**3 + 2/3*n**4 + 16*n + 2/3*n**2 - 40/3 = 0.
-2, 1, 2, 5
Let f(z) be the third derivative of -z**7/105 + 7*z**6 - 22259*z**5/15 + 7315*z**4 - 43681*z**3/3 + 628*z**2 + 1. Factor f(u).
-2*(u - 209)**2*(u - 1)**2
Suppose 8*x**2 - 98/9*x**5 + 0 - 8/9*x + 28*x**4 - 218/9*x**3 = 0. Calculate x.
0, 2/7, 1
Let z(a) be the third derivative of -1/21*a**4 + 2 + 20*a**2 + 0*a - 1/28*a**6 + 0*a**3 + 13/210*a**5 + 1/105*a**7 - 1/1176*a**8. Factor z(c).
-2*c*(c - 4)*(c - 1)**3/7
Let p(c) be the third derivative of -c**5/10 - 29*c**4/4 - 12*c**2. Let y(x) = x**2 + 35*x. Let j(o) = 4*p(o) + 21*y(o). Determine q, given that j(q) = 0.
0, 13
Find s such that -1950*s + 30*s**3 + 3*s**3 - 2*s**4 + 2704 - 686*s**2 - 99*s**3 = 0.
-13, -8, 1
Let o(q) = 79*q + 1266. Let l be o(-16). Let f = -39 - -42. Solve -3/7*v**l + 1/7*v + 3/7 - 1/7*v**f = 0.
-3, -1, 1
Let t(p) be the first derivative of -1/2*p + 3/10*p**5 + 7 - 1/2*p**4 + p**2 - 1/3*p**3. Suppose t(z) = 0. What is z?
-1, 1/3, 1
Factor 9*o**3 - 1936*o**4 + 0*o**2 + 968*o**4 + 965*o**4 - 9*o**2 + 3*o.
-3*o*(o - 1)**3
Let v(u) be the second derivative of -2*u + 13 - 3/8*u**2 - 1/96*u**4 + 5/48*u**3. Factor v(k).
-(k - 3)*(k - 2)/8
Suppose -4*l + 4*z = 8, -l + 4*z - 1 = -8. Let o be (-4 - l)*(0 + 0). Solve -8/5*y + 2/5*y**3 + o + 0*y**2 = 0 for y.
-2, 0, 2
Let i(c) be the first derivative of 2*c**5/25 + 97*c**4/10 + 2112*c**3/5 + 7168*c**2 + 65536*c/5 - 214. Factor i(w).
2*(w + 1)*(w + 32)**3/5
Let d(a) be the second derivative of a - 12 + 8/7*a**2 + 1/84*a**4 + 4/21*a**3. Factor d(x).
(x + 4)**2/7
Find t such that 54760*t**2 + 149932880/3 - 1480/3*t**3 - 8104480/3*t + 5/3*t**4 = 0.
74
Let u(q) be the first derivative of -2*q**5/5 + 26*q**4 + 110*q**3 - 9374. Let u(c) = 0. What is c?
-3, 0, 55
Let g(x) be the first derivative of x**3/3 - 21*x**2/2 + 110*x - 1290. Factor g(p).
(p - 11)*(p - 10)
Let m(o) be the first derivative of -o**6/3 + 24*o**5/5 + 61*o**4/2 + 104*o**3/3 - 60*o**2 - 128*o - 303. Suppose m(a) = 0. What is a?
-2, -1, 1, 16
Suppose -138*s - 105 = -145*s. Find h, given that -20*h**5 + 7*h - 129*h**3 + 117*h**4 - 60*h**2 + 13*h**3 - s*h - 201*h**4 = 0.
-2, -1, -1/5, 0
Let m(w) = -w**5 + 2*w**4 - w**3 - w**2 + 1. Let c(p) = -21*p**5 - 75*p**4 + 225*p**3 + 321*p**2 - 480*p - 450. Let s(a) = c(a) - 18*m(a). Solve s(l) = 0 for l.
-39, -1, 2
Let g = 167123 - 166801. Factor -g*p - 86/3*p**2 - 294 - 2/3*p**3.
-2*(p + 1)*(p + 21)**2/3
Suppose w = 4*v - 649, 21 = -w + 20. Let z be 7 + v/(-24)*1. Let -1/4*g - 1/2 + z*g**2 = 0. What is g?
-1, 2
Let i be 10 - (9 + -6 - -5). Solve -8*v - 4*v**i + 16*v**2 - 14*v - 1 - 8*v**2 + 25*v = 0.
-1, 1/4
Let f be 837/248 - (11 + -8). Find g such that -f*g**4 + 0*g - 33/8*g**3 + 0 + 9/2*g**2 = 0.
-12, 0, 1
Let 6/5 + 16/5*z**2 + 10*z = 0. What is z?
-3, -1/8
Let s(y) = 2*y**3 - 22*y**2 - 20*y - 43. Let u be s(12). Find g such that 360*g**2 + 2221*g + u*g**3 + 1221*g + 1757*g + 1281*g = 0.
-36, 0
Let h(m) be the third derivative of m**6/80 + 7*m**5/20 - 15*m**4/16 + 1784*m**2. Solve h(p) = 0 for p.
-15, 0, 1
Let g(u) = 194*u**2 + 10864*u - 2970274. Let f(k) = -81*k**2 - 4345*k + 1188110. Let i(d) = -12*f(d) - 5*g(d). Factor i(q).
2*(q - 545)**2
Let s(a) be the first derivative of a**6 + 33*a**5/5 - 6*a**4 - 11*a**3 + 9*a**2 + 117. Determine q so that s(q) = 0.
-6, -1, 0, 1/2, 1
Factor 14 - 201*k + 171*k**2 - 8*k**4 + 27 + 33 + 4 + 11*k**4 - 51*k**3.
3*(k - 13)*(k - 2)