+ 9/4*b**5 + b.
(b - 2)*(b - 1)**3*(9*b + 2)/4
Let v(z) = -z - 2. Let x be v(-4). Let l(w) be the second derivative of 0*w**x + 3/20*w**4 + 1/10*w**3 - 3/25*w**5 - 4*w + 0. Determine o, given that l(o) = 0.
-1/4, 0, 1
Let c(v) be the first derivative of v**6/120 - v**5/10 - 2*v**3 - 10. Let b(t) be the third derivative of c(t). Determine m so that b(m) = 0.
0, 4
Suppose 2/23*s**4 + 0 - 10/23*s**2 - 4/23*s - 6/23*s**3 + 2/23*s**5 = 0. What is s?
-1, 0, 2
Let r(n) = -2*n - 3. Let j(d) = d. Let b(g) = 4*j(g) + r(g). Let p be b(9). Factor -p*z**2 + 11*z**2 + 4*z**3 + 0*z**3.
4*z**2*(z - 1)
Let 1390*f - 683*f + 4*f**2 - 25 - 663*f - 23 = 0. Calculate f.
-12, 1
Let f(q) = -q + 4. Let p be f(0). Let i = 647 + -642. What is a in 4*a**4 - 6*a**4 + i*a**p - 3*a**3 = 0?
0, 1
Let y(n) be the third derivative of n**10/7560 + n**9/1890 - n**8/1680 - n**7/315 - 11*n**4/6 - 6*n**2. Let f(q) be the second derivative of y(q). Factor f(t).
4*t**2*(t - 1)*(t + 1)*(t + 2)
Let d(b) be the first derivative of 2*b**3/39 - 85*b**2/13 + 168*b/13 - 7. Factor d(t).
2*(t - 84)*(t - 1)/13
Let t(i) be the second derivative of 2*i**7/21 - 22*i**6/15 + 27*i**5/5 - 25*i**4/3 + 16*i**3/3 + i + 15. Factor t(y).
4*y*(y - 8)*(y - 1)**3
Let c(o) = 121*o**2 + 359*o - 10. Let p be c(-3). Solve 0 + 0*v - 2/7*v**p = 0.
0
Suppose -22*u = -23*u. Let q(m) be the first derivative of 4/3*m**2 - 19/6*m**4 + 0*m**3 - 1 + u*m - 2*m**5. Suppose q(d) = 0. Calculate d.
-1, -2/3, 0, 2/5
Let c(m) be the first derivative of 3*m**5/5 + 38*m**4 + 1816*m**3/3 - 1456*m**2 - 2704*m - 32. What is d in c(d) = 0?
-26, -2/3, 2
Let n be -695*(-6)/15*-2. Let v = 5020/9 + n. Factor -v - 4*k**2 - 14/9*k**3 - 40/9*k - 2/9*k**4.
-2*(k + 1)*(k + 2)**3/9
Suppose 2/5*z**2 - 2/5*z**4 - 4/5*z**5 + 4/5*z**3 + 0 + 0*z = 0. Calculate z.
-1, -1/2, 0, 1
Let s(l) = 0 + 0*l - 10*l - 4 + l**2 + 18*l. Suppose -8 = -2*v - 0. Let i(g) = 4*g**2 + 24*g - 12. Let w(u) = v*i(u) - 11*s(u). Factor w(h).
(h + 2)*(5*h - 2)
Let h(w) be the second derivative of w**7/105 + 7*w**6/75 + 8*w**5/25 + 2*w**4/5 + 4*w + 4. Find s, given that h(s) = 0.
-3, -2, 0
Let j be 3*(2 - 1) - 479. Let g be (6/7)/(17/(j/(-30))). Factor 0*b**3 + 0 + 6/5*b**2 - 2/5*b**4 + g*b.
-2*b*(b - 2)*(b + 1)**2/5
Suppose -3*r + 8 = 4*g, -5*r - g - g = -18. Suppose 5*i - 3*z + 2 = 15, r*z = -5*i + 6. Suppose 0*q**2 - 2*q**2 - q + q**i + 2 = 0. What is q?
-2, 1
Let q(j) be the third derivative of -5*j**2 + 3*j**3 - 7/8*j**4 + 0*j + 1/10*j**5 + 1. Factor q(n).
3*(n - 2)*(2*n - 3)
Let t(g) be the third derivative of -g**8/1680 - g**7/210 + 13*g**6/600 - 7*g**5/300 + 693*g**2. Factor t(w).
-w**2*(w - 1)**2*(w + 7)/5
Let 6*v - 25*v**2 + 5*v**2 - 13*v**2 - 3*v + 30 = 0. What is v?
-10/11, 1
Suppose -16 = -4*a - 2*c + 6, 3*a + 3*c = 18. Let s(t) be the third derivative of 0 + 0*t + 5/36*t**4 + 1/45*t**6 - 2/9*t**3 + 11/90*t**a + 2*t**2. Factor s(g).
2*(g + 1)*(g + 2)*(4*g - 1)/3
Let u(c) = 2*c**3 + c**4 + 3 - 1 - 3*c**2 - 5*c**3 + c**5. Let v(g) = -3*g**5 - 2*g**4 + 10*g**3 + 9*g**2 - 7. Let l(k) = 7*u(k) + 2*v(k). Factor l(f).
f**2*(f - 1)*(f + 1)*(f + 3)
Let f(l) be the first derivative of -l**5/70 + 2*l**4/21 + l**3/21 - 4*l**2/7 - 7*l - 34. Let z(o) be the first derivative of f(o). Let z(c) = 0. What is c?
-1, 1, 4
Suppose -5*b + 1 = -9. Factor 10*g**3 - g**5 - 6*g**3 - 3*g**b - 41*g**4 - g**5 + 42*g**4.
-g**2*(g - 1)**2*(2*g + 3)
Let h(p) be the first derivative of -p**4/3 + 46*p**3/9 + 38*p**2/3 + 26*p/3 + 20. Determine m so that h(m) = 0.
-1, -1/2, 13
Let m(s) be the third derivative of -s**5/210 + s**4/7 - 20*s**3/21 - 11*s**2 - s. Suppose m(w) = 0. Calculate w.
2, 10
Let f(j) be the third derivative of 7*j**5/390 + 79*j**4/156 + 22*j**3/39 - 2*j**2 - 34*j. Factor f(q).
2*(q + 11)*(7*q + 2)/13
Let o = 755 + -751. Suppose 0 = -5*f + 343 + 42. Solve 41*m**4 + 21*m**o + 8 + f*m**2 + 109*m**2 - 13*m**4 + 68*m + 175*m**3 = 0 for m.
-2, -1, -2/7
Let z be 21/48*6/135*6. Let o(j) be the second derivative of 1/28*j**7 - 6*j + 1/20*j**5 - 1/4*j**4 - 1/4*j**2 + 0 - 5/12*j**3 + z*j**6. Factor o(t).
(t - 1)*(t + 1)**3*(3*t + 1)/2
Let k = 54/5 - 53/5. Let v(o) be the first derivative of 0*o - 9/2*o**2 - k*o**5 - 1 - 7/4*o**4 - 5*o**3. Let v(f) = 0. Calculate f.
-3, -1, 0
Let s = 39 + -37. Let -7*k**3 - 1 + 24*k**s - 2*k + 1 - 33*k**2 = 0. Calculate k.
-1, -2/7, 0
Let l = 0 + 27. Suppose -4*y - 5*x = -2*x - l, -2*x + 22 = 4*y. Factor -4*g**2 - 6*g**3 - y*g**3 + g**2 + 3*g + 3*g.
-3*g*(g + 1)*(3*g - 2)
Let i(h) be the first derivative of h**4/14 + 8*h**3/21 + 3*h**2/7 - 100. Factor i(m).
2*m*(m + 1)*(m + 3)/7
Let u(v) = v**3 - 6*v**2 + 9*v - 11. Let d be u(5). Suppose -d + 0 = -3*y. Let -6*o**2 - 3*o - 3*o**y - 2 + 2 = 0. What is o?
-1, 0
Let x(i) = -5*i**4 - 23*i**3 - 22*i**2 + 64*i + 76. Let w(k) = -6*k**4 - 26*k**3 - 22*k**2 + 65*k + 77. Let s(a) = -4*w(a) + 5*x(a). Factor s(b).
-(b - 2)*(b + 1)*(b + 6)**2
Let a(o) = 2*o + 13. Let v be a(-4). Factor -v*l**5 - 5*l**3 + 0*l**5 - 16*l**4 + 6*l**4.
-5*l**3*(l + 1)**2
Let l(c) be the first derivative of 3*c**4/4 - 3*c**3 + 12*c + 46. Factor l(j).
3*(j - 2)**2*(j + 1)
Let k(x) be the second derivative of 1/120*x**5 + 4*x**2 - 1/12*x**3 - 1/240*x**6 + 3*x + 1/48*x**4 + 0. Let m(d) be the first derivative of k(d). Factor m(q).
-(q - 1)**2*(q + 1)/2
Let p be (6 - (-2 + 4)) + (0 - -20). Let n be -5 - (-152)/p - (-11)/12. Factor -39/4*w - n*w**3 + 9/4 + 39/4*w**2.
-3*(w - 3)*(w - 1)*(3*w - 1)/4
Let 2/5*t**3 + 88/5 + 38/5*t**2 - 128/5*t = 0. What is t?
-22, 1, 2
Let c(r) be the first derivative of -r**5/150 + r**4/90 + r**3/9 + r**2/5 + 19*r - 7. Let d(o) be the first derivative of c(o). Let d(a) = 0. What is a?
-1, 3
Suppose -d = b, -28 = -3*b - b + 3*d. Let u be 2/b*(8 - 2). Factor -3*p**2 - 3*p**u + 26*p - 26*p.
-3*p**2*(p + 1)
Suppose h - 56 = 58. Let y = -568/5 + h. Factor -y*x**2 + 4/5*x + 0.
-2*x*(x - 2)/5
Suppose 4*c = 6*c - 8. Let j(l) be the first derivative of 2*l**3 - 2*l**c + 0*l**2 - l + 3/5*l**5 - 2. Let j(v) = 0. What is v?
-1/3, 1
Let h be (16/(-12))/(-35 - -23). Factor 0 + 2/9*w**2 + h*w**3 + 0*w.
w**2*(w + 2)/9
Let l(j) be the second derivative of -j**5/20 + j**4/9 + 2*j**3/9 - 3*j + 2. Factor l(m).
-m*(m - 2)*(3*m + 2)/3
Factor 3/2*f**2 + 6144 - 192*f.
3*(f - 64)**2/2
Factor 4543*b**2 - 2*b + 0*b - 4544*b**2.
-b*(b + 2)
Let g(f) be the second derivative of f**5/5 + 95*f**4/6 + 368*f**3 - 576*f**2 + 10*f + 3. Factor g(y).
2*(y + 24)**2*(2*y - 1)
Suppose -4*z + 4*n = 3*n - 12, 5*n = 5*z. Let j(c) be the second derivative of -1/4*c**z + 1/2*c**2 + 2*c + 1/3*c**3 + 0. Determine d so that j(d) = 0.
-1/3, 1
Factor -2/3*u**5 + 1250/3 - 956/3*u**3 - 3650/3*u + 3452/3*u**2 - 94/3*u**4.
-2*(u - 1)**3*(u + 25)**2/3
Suppose 3*k + 4 - 19 = 0, 5*y + k = 20. Suppose -u + 9 = -y. Find n such that 3*n + 3*n - 13*n**3 + 6*n**4 - n**5 - 4*n + u*n**2 - 6*n = 0.
0, 1, 2
Suppose 0 = 9*c - 5*c + 1036. Let y = c - -519/2. Factor 1/2*z**3 + 0*z**2 - y*z + 0.
z*(z - 1)*(z + 1)/2
Let n(s) be the third derivative of s**6/780 - 19*s**5/390 - s**4/6 + 40*s**3/13 - 107*s**2. Let n(l) = 0. Calculate l.
-3, 2, 20
Let g(d) be the second derivative of -d**6/6 - d**5/4 + 205*d**4/12 - 185*d**3/2 + 180*d**2 - d - 374. Let g(v) = 0. Calculate v.
-8, 1, 3
Let h be (-28)/12*(-1598)/119. Factor -32/3 + h*y + 26/3*y**3 - 30*y**2 + 2/3*y**4.
2*(y - 1)**3*(y + 16)/3
Let w(v) = -18*v**2 - 569*v + 390. Let y(g) = 235*g**2 + 7395*g - 5070. Let m(u) = 40*w(u) + 3*y(u). Factor m(x).
-5*(x + 39)*(3*x - 2)
Let u(b) = -b**3 - 9*b**2 - 6*b - 4. Let k be u(-7). Let s be (50/k)/(2/(-20)). Determine t so that 16/3*t - 7/3*t**4 + 1/3*t**5 - s*t**2 + 19/3*t**3 - 4/3 = 0.
1, 2
Solve 3/7 + 64/7*f**3 + 208/7*f**2 + 7*f = 0 for f.
-3, -1/8
Suppose -5*o + 5 = 0, o - 40 = -s - 4*o. Let m = 71/2 - s. Factor 1/2*a**3 - m - 3/2*a**2 + 3/2*a.
(a - 1)**3/2
Let f = -240 - -249. Let d(l) be the first derivative of 8*l - 2*l**2 + 1/6*l**3 + f. Factor d(o).
(o - 4)**2/2
Let i(a) be the third derivative of 1/84*a**8 + 2/105*a**7 + 0*a**3 - 1/30*a**6 + 0*a - 13*a**2 + 0 + 0*a**4 - 1/15*a**5. Factor i(x).
4*x**2*(x - 1)*(x + 1)**2
Let j(k) be the third derivative of -k**9/36288 + 5*k**8/12096 - k**7/378 + k**6/108 - k**5/20 + 10*k**2. Let q(p) be the third derivative of j(p). Factor q(s).
-5*(s -