). Let y be v(27). Solve -1/5*f**2 + 1/10*f**4 + y + 0*f + 1/10*f**3 = 0.
-2, 0, 1
Let d = -58 - -41. Let c be (-8)/(-48) - d/18. Suppose -2/9*h**2 - 4/9 - c*h + 4/9*h**3 = 0. What is h?
-1, -1/2, 2
Let l = 511990/11 - 46544. Factor 36/11*h**2 - l*h**4 - 48/11*h + 0*h**3 + 18/11.
-6*(h - 1)**3*(h + 3)/11
Suppose 3*k = -4*k + 28. Let a(z) = 2*z**4 - 2*z**2 - 4. Let n(d) = -d**4 + d**2 + 3. Let y(i) = k*n(i) + 3*a(i). Find v, given that y(v) = 0.
-1, 0, 1
Let b be 4/(-24) + 129/18. Let n be ((-84)/8)/b*-2. Solve 8*o**n - 5*o - 4*o**4 - 4*o**5 + 2*o**5 + o - 4 + 8*o**2 - 2*o**5 = 0 for o.
-1, 1
Let c(k) = -11*k**3 - 129*k**2 + 271*k - 135. Let o(l) = 2*l**3 - l. Let w(g) = c(g) + 4*o(g). Solve w(p) = 0 for p.
-45, 1
Let u = -82 - -100. What is t in 24*t + 20*t**2 + 9*t**3 - u*t**3 + 13*t**3 = 0?
-3, -2, 0
Determine z so that -145*z**3 - 75*z**2 + 14*z**5 - 65*z**4 - 56*z**5 + 47*z**5 = 0.
-1, 0, 15
Let k(j) = -j**2 - 1. Suppose 3 = 3*u - 4*m, 5*u + 7*m - 2*m - 5 = 0. Let o(n) = 4*n**4 - 4*n**3 - 12*n**2 - 4. Let g(p) = u*o(p) - 4*k(p). Factor g(f).
4*f**2*(f - 2)*(f + 1)
Let f(u) = u**3 - 2*u**2 + u - 1. Let k be f(2). Factor -k - 14 + 4 + 2 - 3*x**2 - 12*x.
-3*(x + 1)*(x + 3)
Let y(c) be the first derivative of 5/42*c**4 - 2/7*c**2 - 2*c + 4 - 1/7*c**3. Let o(a) be the first derivative of y(a). Suppose o(x) = 0. Calculate x.
-2/5, 1
Let o(h) be the third derivative of 0*h + 1/14*h**4 + 5/21*h**3 - 23*h**2 + 1/210*h**5 + 0. Factor o(w).
2*(w + 1)*(w + 5)/7
Let i(x) be the third derivative of x**6/36 - 7*x**5/24 - 5*x**4/6 - 13*x**3/6 + 11*x**2. Let b(h) be the first derivative of i(h). Factor b(y).
5*(y - 4)*(2*y + 1)
Factor 1/7*a**2 + 143/7*a - 144/7.
(a - 1)*(a + 144)/7
Let p(o) = 6 - 6*o - o**2 - 3 - 1. Let r be p(-6). Suppose 5*b**2 + 4*b**r - 6*b**2 - 3*b - 6 = 0. Calculate b.
-1, 2
Let c = -2/195 + 404/1365. Factor 0 - 2/21*w**4 + 0*w**2 - c*w**3 + 0*w.
-2*w**3*(w + 3)/21
Suppose 5*x - 64 = -24. Let q(k) = k**3 - 9*k**2 + 5*k + 24. Let n be q(x). What is w in n - 4/7*w - 2/7*w**2 = 0?
-2, 0
Let z(s) be the third derivative of s**6/840 + s**5/420 - s**4/28 - s**2 - 78. Factor z(b).
b*(b - 2)*(b + 3)/7
Suppose -d = 2*n + 1, -5*d - 5 + 0 = 2*n. Suppose o - r - 8 = -o, n = -o - 2*r + 9. Factor 0*z + z**4 - 1/3*z**o + 0 + 1/3*z**2 - z**3.
-z**2*(z - 1)**3/3
Let p(g) be the second derivative of 3*g**4 - 2 - 3/40*g**5 + 384*g**2 - 48*g**3 + 36*g. Factor p(d).
-3*(d - 8)**3/2
Let f(g) = 6*g - 7. Let y be f(5). Suppose y*n = 26*n. Factor 0*v + n + 0*v**2 - 2/9*v**3.
-2*v**3/9
Suppose 0 = -h + 3. Factor 3*x + x - 4*x**h + 0*x.
-4*x*(x - 1)*(x + 1)
Let t = 58367/5 + -11673. Determine l, given that -1/5*l + 1/5*l**2 - t = 0.
-1, 2
Let d be 3 + (-1)/2*-10. Suppose -2*m**4 + 6*m**4 + d*m - 4 + 21*m**3 - 29*m**3 = 0. What is m?
-1, 1
Suppose -t - 96 = -9*t. Let i = t - 10. Factor 0*z + 0 + 3/4*z**i.
3*z**2/4
Factor 5*x + 14*x - 2*x**3 - 10*x**2 + 15 + 31*x**2 + 5*x**3 + 14*x.
3*(x + 1)**2*(x + 5)
Let l(i) be the third derivative of i**8/6720 - i**6/720 + i**4/96 - 5*i**3/6 - 3*i**2. Let b(t) be the first derivative of l(t). Factor b(x).
(x - 1)**2*(x + 1)**2/4
Solve 2/3 - 5/6*z - z**2 = 0.
-4/3, 1/2
Let q(f) be the second derivative of f**6/720 - f**5/24 + 25*f**4/48 - 125*f**3/36 - 5*f**2/2 - 21*f. Let d(h) be the first derivative of q(h). Factor d(b).
(b - 5)**3/6
Find t such that -16 + 32/3*t + 4/3*t**4 + 44/3*t**2 - 32/3*t**3 = 0.
-1, 1, 2, 6
Let d(l) = -21*l**4 + 54*l**3 + 189*l**2 + 27*l. Let t(b) = -3*b**4 + 8*b**3 + 27*b**2 + 4*b. Let p(k) = 4*d(k) - 27*t(k). Factor p(q).
-3*q**2*(q - 3)*(q + 3)
Let m = -1858/21 + 622/7. Let h(p) be the first derivative of m*p**3 + 1/14*p**4 + 4/7*p**2 + 0*p - 3. Let h(n) = 0. Calculate n.
-2, 0
Suppose -4*z = 12 - 96. Let u(h) = z + 3*h + 7*h**2 + 14*h + 2. Let o(y) = -y**2 - y - 1. Let c(l) = 5*o(l) + u(l). Factor c(f).
2*(f + 3)**2
Let q(y) = -3*y**3 + 4*y**2 - 7*y. Suppose 27 + 36 = 7*c. Let f(n) = -13*n**3 + 15*n**2 - 29*n. Let m(v) = c*q(v) - 2*f(v). Factor m(b).
-b*(b - 5)*(b - 1)
Let r(c) = c + 9*c - 8*c + 42 - 8*c. Let s be r(7). Determine t so that 2/11*t + s - 2/11*t**3 + 0*t**2 = 0.
-1, 0, 1
Solve 0 - 1/10*m**5 - 21/10*m**3 + 0*m - 9/5*m**2 - 4/5*m**4 = 0 for m.
-3, -2, 0
Suppose -16*q**2 + 14/3*q - 1/3*q**4 + 49/3 - 14/3*q**3 = 0. Calculate q.
-7, -1, 1
Suppose 0 = -5*x + n - 0 + 21, 0 = -2*x - 4*n + 26. Let 4*t**5 - 4*t**5 + 6*t**2 - 9*t**3 + 5*t**5 - 2*t**x = 0. What is t?
-2, 0, 1
Let g be 3850/(-300) + -4 + 17. Let f(r) be the third derivative of g*r**3 + 1/60*r**5 + 1/12*r**4 - 7*r**2 + 0 + 0*r. Factor f(h).
(h + 1)**2
Let d(f) = -f**3 - 6*f**2 - 5*f + 4. Let l be d(-5). Suppose 3*o + 15 = 0, 0 = s + 2*o + l + 4. Factor 14*c + c**2 + 2*c**2 + 1 - s*c**2 - 12*c.
(c + 1)**2
Let m(u) = u**3 + 2*u**2 - u + 1. Let r(x) = -3*x**3 + 2*x**2 - 9*x - 5. Let t(k) = 5*m(k) + r(k). Factor t(d).
2*d*(d - 1)*(d + 7)
Suppose 1163*u - 1156*u - 28 = 0. Let b(k) be the first derivative of 14 + 5/3*k**3 + 5/4*k**2 - 5/8*k**u - 5*k. Solve b(j) = 0.
-1, 1, 2
Determine d so that -1/4*d + 2*d**2 - 2 + 1/4*d**3 = 0.
-8, -1, 1
Let v(l) be the first derivative of l**7/70 + l**6/40 - l**5/20 - l**4/8 - 19*l**2 + 36. Let j(k) be the second derivative of v(k). Factor j(h).
3*h*(h - 1)*(h + 1)**2
Let y be 5/35 + (-52)/(-112)*4. Let v(l) be the second derivative of 1/4*l**5 + 0 - 1/6*l**4 + 0*l**y + 0*l**3 - 3*l - 1/10*l**6. Find u such that v(u) = 0.
0, 2/3, 1
Let g be ((-1620)/(-675))/((-8)/(-5)). Determine j, given that 0 - g*j - 3/4*j**2 = 0.
-2, 0
Let q(j) be the first derivative of j**5/360 - j**4/144 + j**2 - 5. Let f(l) be the second derivative of q(l). Find o such that f(o) = 0.
0, 1
Suppose 15*y - 21 = 9. Let r(o) be the second derivative of 0 + 0*o**4 + 1/30*o**5 - o + 1/63*o**7 + 0*o**3 + 0*o**y - 2/45*o**6. Factor r(p).
2*p**3*(p - 1)**2/3
Let t be (2/3)/((-444)/225 - -2). Factor z**2 + t - 7*z + 11*z + 6*z.
(z + 5)**2
Determine d, given that -2*d**2 - 216 - 36*d - 78*d + 2*d**2 - 3*d**2 = 0.
-36, -2
Let r(v) be the second derivative of v**4/6 - 398*v**3/3 + 39601*v**2 + 513*v. Factor r(d).
2*(d - 199)**2
Let r be 1/(15/2) - (-136)/(-1920). Let z(h) be the first derivative of -3 + 0*h + 0*h**2 + r*h**4 + 1/12*h**3. Find d such that z(d) = 0.
-1, 0
Factor 1/4*u**3 - 61/4*u**2 + 119/4*u - 59/4.
(u - 59)*(u - 1)**2/4
Solve 0 + 2/3*l**2 - 14/3*l = 0 for l.
0, 7
Let w(g) be the third derivative of g**2 + 0*g + 2/3*g**4 + 0 - 1/30*g**5 - 16/3*g**3. Find x such that w(x) = 0.
4
Let d be -24*(-1 + (-1)/(-10) + (-276)/(-345)). Suppose -d*a**4 + 16/5 + 2/5*a**5 - 24/5*a + 22/5*a**3 - 4/5*a**2 = 0. Calculate a.
-1, 1, 2
Let l = -2086/3 + 728. Let a = l + -32. What is v in -a*v + 2/3*v**4 + 0 - 2*v**3 + 2*v**2 = 0?
0, 1
Suppose -a - b = -2*b - 3, 3*a + b = 5. Let h = 10 - 6. Let -7*d**2 - 5*d**h + 3*d**a + 6*d**3 + d**4 + 2*d**3 = 0. Calculate d.
0, 1
Let d(t) = -t**2 + 7*t - 1. Let x be d(7). Let n be (-20)/(-8) + x + -1. What is w in -n*w - 1/6*w**2 - 1/3 = 0?
-2, -1
Let v(l) be the first derivative of l**3/8 - 159*l**2/16 - 81*l/4 - 230. Factor v(f).
3*(f - 54)*(f + 1)/8
Let z = -15 - -27. Let n = 54 + z. Let -8*j**2 + n*j**4 + 16/5*j - 126/5*j**5 + 0 - 28*j**3 = 0. What is j?
-1/3, 0, 2/7, 2/3, 2
Let j be 3 + (798/49)/(-6). Factor -2/7*s**3 - s + s**2 + j.
-(s - 2)*(s - 1)*(2*s - 1)/7
Let r be ((-35)/20)/(7/(-2)). Let 0 + r*k**2 + k = 0. What is k?
-2, 0
Let s(p) = 3*p**3 + 69*p**2 + 30*p - 12. Let r(u) = -u**3 - 28*u**2 - 12*u + 5. Let o(j) = -12*r(j) - 5*s(j). Factor o(n).
-3*n*(n + 1)*(n + 2)
Let g = -48391 + 338739/7. Factor -2/7*x**3 - g*x + 4/7*x**2 + 0.
-2*x*(x - 1)**2/7
Suppose 0 = -2*q + 17 + 7. What is y in 7 - 3*y**2 - 8 - 11 + q*y = 0?
2
Let c(r) = 11*r - 62. Let t be c(6). Let w(u) be the second derivative of -1/18*u**t + 0 - 1/45*u**6 + 7*u + 1/15*u**5 + 0*u**2 + 0*u**3. Factor w(f).
-2*f**2*(f - 1)**2/3
Suppose 5*x - 15 = -3*q, 2*q = 2*x - 0*q - 22. Suppose 5*p + x = -2*c, -2*c + 30 = -3*p - p. Suppose -8*j - j + 3*j**2 - 1 + c = 0. What is j?
1, 2
Let a(l) be the first derivative of 2*l**3/21 - l**2/7 - 16*l + 103. Determine i, given that a(i) = 0.
-7, 8
Let j = 154/5 + -32. Let f = -32/35 - j. Suppose 0*t**3 + 0 - f*t**4 + 6/7*t**2 - 4/7*t = 0. Calculate t.
-2, 0, 1
Suppose 902*c + 5*c**5 - 177*c - 25