et h be 6/60*20/4*0. Let z(q) be the second derivative of 5/18*q**6 + 6*q + h - 14/9*q**3 - 7/6*q**5 + 2/3*q**2 + 23/12*q**4. What is c in z(c) = 0?
2/5, 1
Let v(u) = u**3 + 23*u**2 - 21*u + 74. Let q be v(-24). Solve -4/5 - 8/5*t**2 - 2/5*t**3 - q*t = 0 for t.
-2, -1
Factor -88*o**2 + 60*o + 4*o**3 + 5*o**4 + 12*o**3 + 34*o**3 - 27*o**2.
5*o*(o - 1)**2*(o + 12)
Let s(y) be the first derivative of -1/4*y**4 + 1/3*y**3 - 4*y + 3 + 2*y**2. Find f such that s(f) = 0.
-2, 1, 2
Let l(d) be the third derivative of -1/780*d**6 - 1/78*d**4 - 1/130*d**5 + 0*d**3 - 3*d**2 + 0 + 0*d. Solve l(g) = 0 for g.
-2, -1, 0
Let f be (-2 - (-50)/15)/(2/15). Factor f - z**2 - 1 - 9.
-z**2
Let v(b) be the first derivative of b**4/4 + 11*b**3/3 - 20*b**2 + 28*b + 51. Factor v(s).
(s - 2)*(s - 1)*(s + 14)
Let j(z) = 2*z**2 + z + 14. Suppose -120 = 5*x - 0*x. Let d(r) = 9*r**2 + 6*r + 69. Let v(k) = x*j(k) + 5*d(k). Factor v(q).
-3*(q - 3)*(q + 1)
Suppose -3*q + 2 + 112 = 0. Let p = q + -73/2. Find f such that 19/4*f + p - 7/4*f**2 = 0.
-2/7, 3
Suppose -3*z - 4*k + 34 = -28, -k - 4 = 0. Let j = 28 - z. Factor 2/3*m + 0 + 2/3*m**3 + 4/3*m**j.
2*m*(m + 1)**2/3
Let g(k) = -20*k**4 + 36*k**3 + 36*k**2 - 44*k - 20. Let a(m) = -20*m**4 + 37*m**3 + 36*m**2 - 47*m - 21. Let h(d) = 4*a(d) - 5*g(d). What is p in h(p) = 0?
-1, -2/5, 1, 2
Let r(j) be the second derivative of 17*j**6/10 - 3*j**5/10 - 17*j**4/4 + j**3 + 158*j. Factor r(n).
3*n*(n - 1)*(n + 1)*(17*n - 2)
Let h be (-42)/(-6) + -15 + 10. Factor -1/3*u - 1/6 - 1/6*u**h.
-(u + 1)**2/6
Determine q, given that 379*q**3 - 30 - 187*q**3 + 46*q - 18*q**2 - 190*q**3 = 0.
1, 3, 5
Let p = -75 - -81. Let f(q) be the third derivative of 0*q + 1/4*q**4 + 0*q**3 - 3/20*q**5 + 0 + 1/70*q**7 + 0*q**p - 8*q**2. Let f(s) = 0. Calculate s.
-2, 0, 1
Suppose -2*h - 4 = -5*q, 0*q + 5*h - 11 = 2*q. Let s be q/(-8) + 21/4. Find b such that s*b + 4*b**4 + 12*b**2 + 4*b - 5*b + 12*b**3 = 0.
-1, 0
Let s(d) be the third derivative of d**7/840 - d**6/480 - d**5/40 + 282*d**2. Determine g, given that s(g) = 0.
-2, 0, 3
Let r(z) = z**2 - 1. Let p(t) be the third derivative of -t**5/12 - t**4/12 + t**3 - t**2. Let b = -159 + 158. Let k(s) = b*p(s) - 6*r(s). Factor k(y).
-y*(y - 2)
Suppose 5*v = u - 18, -u - 4*v = -5*u + 40. Let c be 2/8 - (-22)/u. Factor 3*t + 3*t**2 - c + 6*t + 0 + t**3 - 10*t.
(t - 1)*(t + 1)*(t + 3)
Determine i, given that 0 - 51*i**3 - 38*i**4 + 24*i + 23*i**4 + 42*i**2 + 0 = 0.
-4, -2/5, 0, 1
Suppose 354 = 10*v - 6. Factor -16*y**2 - 12*y**3 - v*y**2 - 12 - 2*y - 50*y.
-4*(y + 1)*(y + 3)*(3*y + 1)
Let p be (1 + 0)*-1*-2. Let a = -2600 + 2602. Find d such that 0*d - p - 1/2*d**3 + 3/2*d**a = 0.
-1, 2
Let x(y) be the second derivative of y**5/110 - 25*y**4/66 - 26*y**3/33 + 3*y - 29. Let x(q) = 0. Calculate q.
-1, 0, 26
Let a = 27563/16745 - -1/985. Find j, given that -98/17 - 2/17*j**2 + a*j = 0.
7
Let i(l) be the first derivative of 25*l**6/3 - 272*l**5 + 6577*l**4/2 - 86772*l**3/5 + 174636*l**2/5 - 148176*l/5 + 248. Factor i(k).
2*(k - 1)**2*(5*k - 42)**3/5
Let c(w) be the first derivative of 2*w**6/9 + 14*w**5/15 + 7*w**4/6 + 4*w**3/9 - 106. What is a in c(a) = 0?
-2, -1, -1/2, 0
Factor -16/15*o**2 + 4/15*o**4 - 8/15*o**3 + 0*o + 2/15*o**5 + 0.
2*o**2*(o - 2)*(o + 2)**2/15
Suppose 2*x - 7*x + 38 = 4*k, -x + 2 = -2*k. Let q be (-24)/20*x/(-18). Factor q*w + 0 - 2/5*w**2.
-2*w*(w - 1)/5
Let z = -4468/15 + 1491/5. Factor 8/3 - 2/3*h**2 + 4/3*h - z*h**3.
-(h - 2)*(h + 2)**2/3
Let p(v) = -v**2 + v. Let n(d) = 7*d**2 - 7*d - 1. Let m(x) = n(x) + 6*p(x). Let g(a) = 3*a**2 - 9*a - 2. Let s(c) = -2*g(c) + 4*m(c). Factor s(o).
-2*o*(o - 7)
Let f(b) = b**5 - b**2 + b - 1. Suppose 4*o - 27 = -7. Let z(h) = 10*h**5 + 20*h**4 - 20*h**3 - 25*h**2 + 15. Let y(k) = o*f(k) + z(k). Factor y(j).
5*(j - 1)*(j + 1)**3*(3*j - 2)
Let y(h) = -h**2 - h - 1. Let t(f) = 4*f**2 + 10*f + 7. Let d(n) = t(n) + 3*y(n). Let u be d(-7). Let -3*o**4 + o**u - 2*o**2 + 5*o**3 - o**3 = 0. Calculate o.
0, 1
Let r(z) be the second derivative of -z**6/60 - 7*z**5/40 - 5*z**4/8 - 13*z**3/12 - z**2 + 2*z - 48. Solve r(q) = 0.
-4, -1
What is z in 6*z**2 - 65*z**3 + 5*z**5 + 16*z**2 - 20*z**4 - 2*z**2 + 60*z + 0*z**2 = 0?
-2, -1, 0, 1, 6
Let w(x) be the first derivative of -x**4 + 6 - 16/3*x**3 + 0*x + 8*x**2 + 4/5*x**5. Solve w(u) = 0.
-2, 0, 1, 2
Let v(p) = -p - 15. Let j be v(-13). Let i(q) = -2*q - 2. Let d be i(j). Factor -g**2 - 2*g**d - 2 + 5*g**2.
2*(g - 1)*(g + 1)
Let t(o) be the first derivative of 1/3*o**3 - 1/5*o**5 + 1/6*o**6 - 1/4*o**4 + 0*o**2 + 0*o - 3. Factor t(r).
r**2*(r - 1)**2*(r + 1)
Let u(o) be the third derivative of o**7/490 + 13*o**6/280 + 9*o**5/70 - 20*o**4/7 + 64*o**3/7 + 275*o**2 + 2. Factor u(h).
3*(h - 2)*(h - 1)*(h + 8)**2/7
Let p(x) be the second derivative of 0*x**2 + 2/9*x**3 + 1/45*x**6 + 0 - 5/9*x**4 + 12*x - 1/18*x**7 + 7/20*x**5. Determine o so that p(o) = 0.
-2, 0, 2/7, 1
Suppose -380 = -68*m - 122*m. Suppose -2/7*z**3 + 2/7*z - 2/7*z**4 + 2/7*z**m + 0 = 0. What is z?
-1, 0, 1
Let x = -1621756747 + 7685505308644/4739. Let r = x + 2/677. Factor -240/7*k**2 - 100/7*k**3 + r*k**4 - 16*k - 16/7.
(k - 2)*(5*k + 2)**3/7
Let v(f) be the first derivative of -f**8/3696 - 13*f**7/9240 + f**6/660 + 7*f**3 - 19. Let j(u) be the third derivative of v(u). Factor j(n).
-n**2*(n + 3)*(5*n - 2)/11
Let r = -41 - -43. Let i be (1 - r) + 5/25*5. Suppose i - 1/5*m**2 - 2/5*m = 0. Calculate m.
-2, 0
Let x(p) be the first derivative of -p**4 - 4*p**3 - 6*p**2 - 4*p + 94. What is o in x(o) = 0?
-1
Let d = -24 - -10. Let r be 1/((-12)/d) - (2 - 2). Factor -1 + 1/2*k**2 + r*k.
(k + 3)*(3*k - 2)/6
Let n(i) = -2*i**4 - 21*i**3 - 42*i**2 - 51*i. Let w(s) = s**3 - 4*s**2 - s. Let o(d) = 2*n(d) + 6*w(d). Factor o(p).
-4*p*(p + 3)**3
Let n(r) be the second derivative of -r**4/42 + 2*r**3/7 - 8*r**2/7 - 8*r - 4. Factor n(h).
-2*(h - 4)*(h - 2)/7
Let p be (7/(-2))/(-2*(-161)/(-276)). What is u in -1/7*u**2 + 0 + 2/7*u + 1/7*u**4 - 2/7*u**p = 0?
-1, 0, 1, 2
Let 196*r**2 + 60*r - 3*r**3 - 86*r**2 + 55*r - 2*r**3 = 0. What is r?
-1, 0, 23
Let j(i) = -i**3 - i**2. Let h(u) = -u**3 + 16*u**2 + 65*u. Let q(r) = -h(r) + 2*j(r). Factor q(a).
-a*(a + 5)*(a + 13)
Let w(z) be the second derivative of -2*z**3 - 2*z**2 - 1/5*z**5 - z**4 + 0 - z. Suppose w(x) = 0. Calculate x.
-1
Let w = -87626/5 - -17530. Factor -w - 2/5*z**2 - 16/5*z.
-2*(z + 2)*(z + 6)/5
Let u(z) = 25*z**2 + 143*z + 390. Let j(c) = -3*c**2 - 18*c - 48. Let f(v) = -17*j(v) - 2*u(v). Factor f(h).
(h + 2)*(h + 18)
Let u(f) be the first derivative of -2*f**6/3 - 36*f**5/5 - 3*f**4 + 292*f**3/3 - 192*f**2 + 144*f + 38. Factor u(w).
-4*(w - 1)**3*(w + 6)**2
Suppose -5*f = -f, 4*r - 5*f - 16 = 0. Factor -8*n**4 - 10*n + 22*n**5 + 10*n - r*n**3 - 10*n**5.
4*n**3*(n - 1)*(3*n + 1)
Let c(o) be the third derivative of o**8/3192 + 2*o**7/399 + o**6/190 - 14*o**5/285 - 7*o**4/228 + 6*o**3/19 - 116*o**2. Solve c(l) = 0 for l.
-9, -2, -1, 1
Let u be (-2)/(-34)*(-238 - -248). Let 0 + 4/17*j + 18/17*j**2 - u*j**3 = 0. Calculate j.
-1/5, 0, 2
Let x(c) be the first derivative of c**9/2016 - c**8/280 + c**7/112 - c**6/120 - 11*c**3/3 - 10. Let a(y) be the third derivative of x(y). Factor a(n).
3*n**2*(n - 2)*(n - 1)**2/2
Let i(s) be the second derivative of s**4/8 + 4*s**3 + 146*s. Find r, given that i(r) = 0.
-16, 0
Let v(g) be the third derivative of -g**6/120 - g**5/40 + 3*g**4/4 + 10*g**3/3 - 49*g**2. Let y(j) be the first derivative of v(j). Solve y(b) = 0.
-3, 2
Let f(r) be the third derivative of -r**7/525 - r**6/15 - r**5 - 25*r**4/3 - 125*r**3/3 - 42*r**2 - 1. Solve f(m) = 0 for m.
-5
Let y(z) = z**2 - z + 1. Let v(l) = 25*l**2 - 260*l + 2900. Let n(m) = -v(m) + 20*y(m). Determine a, given that n(a) = 0.
24
Let o(a) be the second derivative of a**5/4 + 5*a**4/12 - 16*a + 2. Determine t so that o(t) = 0.
-1, 0
Let r(g) be the second derivative of -1/6*g**3 + 0 - 1/12*g**4 - 2*g + 0*g**2. Factor r(z).
-z*(z + 1)
Suppose -21 = p - 2*p. Let h be 49/p - 1/3. Factor 4/9*q**h - 10/9*q + 4/9.
2*(q - 2)*(2*q - 1)/9
Let t be 0 + (2 + 3 - 1). Let u be (-70)/15 + t + 32/30. Suppose -3/5*k - u - 1/5*k**2 = 0. Calculate k.
-2, -1
Let i be 4/16 - 9/(-12) - -5. Let r be ((-24)/(-14))/i - (-26)/7. Let t**2 + 0*t + 0*t**3 - 1/2 - 1/