 = 19*n**4 - 24*n**3 - 27*n**2 + 24*n + 10. Let w(m) = 3*c(m) + 2*l(m). Solve w(y) = 0.
-1, -2/5, 1, 2
Let g = -101 + 105. Let q be 18/8 - g/16. Factor -9/2*b**q - 3 - 15/2*b.
-3*(b + 1)*(3*b + 2)/2
What is b in 1/8*b**2 + 21/8 - 5/4*b = 0?
3, 7
Let z = 642 - 638. Let g(k) be the second derivative of -3/40*k**5 - 1/4*k**z + 0*k**2 + k - 1/4*k**3 + 0. Factor g(b).
-3*b*(b + 1)**2/2
Let a(m) be the first derivative of m**6/18 + 11*m**5/15 + 4*m**4/3 - 5*m**3/3 - 10. Let b(c) be the third derivative of a(c). Let b(h) = 0. What is h?
-4, -2/5
Suppose -20 = -4*k - 8. Let -k*r**3 - 5*r**2 + 10*r**2 + r**2 - 3*r = 0. Calculate r.
0, 1
Let r = -3 - -3. Suppose 0*t + t - h - 4 = r, -t = 4*h + 6. Let 7*j**2 + 2*j - 4*j**t - 14*j = 0. What is j?
0, 4
Let w be 12/(-80)*-4 + 65832/1755. Factor -92/9*d - 42*d**2 - 637/9*d**3 - 8/9 - w*d**4.
-(d + 1)*(7*d + 2)**3/9
Let p be (-63)/630*6/(-1). Suppose -3/5*r**2 - p*r + 6/5 = 0. Calculate r.
-2, 1
Let o(f) be the second derivative of 0 + 32/105*f**6 + f + 8/147*f**7 + 19/21*f**4 + 2/3*f**3 + 5/7*f**5 + 2/7*f**2. Factor o(i).
4*(i + 1)**3*(2*i + 1)**2/7
Let j = -53206/5 - -10642. Determine g so that j*g + 8/5*g**2 + 4/5*g**3 + 0 = 0.
-1, 0
Let c = -45 + 47. Let g = -7 - -20. Factor 12*s**4 + 0*s**2 - g*s**3 - 7*s**3 + 6*s**2 + c*s**2.
4*s**2*(s - 1)*(3*s - 2)
Let w(d) = d**3 + d + 12. Let q be w(0). Let l = -9 + q. Find z, given that -1/4*z**5 + 3/4*z**l - 1/2*z**4 + z**2 + 0 - z = 0.
-2, 0, 1
Factor 2/9*p**5 + 8/9*p + 26/9*p**3 - 4/3*p**4 - 8/3*p**2 + 0.
2*p*(p - 2)**2*(p - 1)**2/9
Let h(g) be the first derivative of -g**7/210 + g**6/150 - 48*g + 45. Let k(p) be the first derivative of h(p). Factor k(b).
-b**4*(b - 1)/5
Let o = 248 - 246. Suppose 0 = 5*n - 5*q - 5, n + 4*n - 7 = 4*q. Factor -17*g**4 + 17*g**2 + 4*g**5 + g**o + 9*g**4 - 2*g**2 - 12*g**n + 16*g.
4*g*(g - 2)**2*(g + 1)**2
Let q(k) be the first derivative of k**7/210 + k**6/5 + 18*k**5/5 + 36*k**4 - 7*k**3 + 20. Let n(y) be the third derivative of q(y). Factor n(w).
4*(w + 6)**3
Let d(h) be the third derivative of -h**8/112 + h**7/105 + h**6/10 - 2*h**5/15 + 4*h**2 - 8. Solve d(y) = 0 for y.
-2, 0, 2/3, 2
Factor 4/3*w**3 + 44/3*w**2 + 76/3*w + 12.
4*(w + 1)**2*(w + 9)/3
Let w(i) = -4*i - 4. Let p(o) be the first derivative of -o**3/3 + 3*o**2/2 + 4*o - 2. Let f(l) = -4*p(l) - 3*w(l). Factor f(n).
4*(n - 1)*(n + 1)
Let x(n) be the third derivative of 0*n**3 + 1/80*n**5 - 1/48*n**4 + 0 - 6*n**2 + 1/448*n**8 - 1/120*n**7 + 0*n + 1/160*n**6. Factor x(u).
u*(u - 1)**3*(3*u + 2)/4
Factor 2/5*n**2 + 0 + 68/5*n.
2*n*(n + 34)/5
Factor -28/5 - 26/5*w + 2/5*w**2.
2*(w - 14)*(w + 1)/5
Factor 589*f + 216*f**2 + 204*f + 24*f**3 + 1296 + f**4 + 71*f.
(f + 6)**4
Let j(m) be the second derivative of -m**6/420 - m**5/105 - m**4/84 - 14*m**2 + m - 3. Let q(y) be the first derivative of j(y). Suppose q(u) = 0. What is u?
-1, 0
Let k be (-1720)/(-645) + 4/(-6). Let -40/3*s + 119/6*s**k + 2 + 49/6*s**3 = 0. Calculate s.
-3, 2/7
Let k be (-179)/270 + 2/3. Let s(u) be the third derivative of 0 - k*u**5 + 0*u**4 + 1/945*u**7 + 0*u + 1/540*u**6 - 1/1512*u**8 + 4*u**2 + 0*u**3. Factor s(j).
-2*j**2*(j - 1)**2*(j + 1)/9
Let j(w) be the second derivative of 0 - w**2 + 1/40*w**4 + 1/100*w**5 - 6*w - 1/5*w**3. Let x(m) be the first derivative of j(m). Factor x(r).
3*(r - 1)*(r + 2)/5
Let v(q) = -222*q - 1554. Let i be v(-7). Let i + 4/17*x - 2/17*x**2 = 0. What is x?
0, 2
Let i(n) be the third derivative of 1/480*n**6 + 0*n**5 + 0 + 0*n**7 + 23*n**2 - 1/2688*n**8 - 1/192*n**4 + 0*n**3 + 0*n. Factor i(b).
-b*(b - 1)**2*(b + 1)**2/8
Let v(g) be the third derivative of g**7/1260 - g**5/60 - 31*g**4/24 - g**2. Let h(b) be the second derivative of v(b). Factor h(w).
2*(w - 1)*(w + 1)
Let p(j) be the first derivative of -j**4/4 + 13*j**3/3 + 13*j**2/2 + 14*j + 26. Let o be p(14). Factor o + 2/3*m**3 + 0*m + 4/3*m**5 + 7/3*m**4 - 1/3*m**2.
m**2*(m + 1)**2*(4*m - 1)/3
Find s, given that -32*s + 15*s - s**2 - 2*s**2 - 38*s + 100 - 93*s = 0.
-50, 2/3
Factor -15*q**4 - 14*q**3 - 14*q**3 + 65*q**2 - 112*q + 82*q + 8*q**3.
-5*q*(q - 1)*(q + 3)*(3*q - 2)
Let a(s) be the first derivative of 1/28*s**4 - 1/21*s**3 + 0*s**2 - 1/42*s**6 + 7 + 1/35*s**5 + 0*s. Factor a(f).
-f**2*(f - 1)**2*(f + 1)/7
Let n(l) be the third derivative of -l**8/10080 - l**7/2520 + l**6/60 - 19*l**5/60 + 8*l**2. Let y(f) be the third derivative of n(f). Factor y(t).
-2*(t - 2)*(t + 3)
Let n(t) be the third derivative of t**6/180 + t**5/10 + t**2 + 90*t. Suppose n(q) = 0. Calculate q.
-9, 0
Find q such that 260*q**4 + 6*q**5 - 64 + 176*q**3 + 224*q + 314*q**4 - 911*q**4 + 285*q**4 - 288*q**2 = 0.
2/3, 2
Let h be (-527)/63 - 2/(-14). Let j = h + 28/3. Suppose j*b**5 + 22/9*b**2 - 26/9*b**3 - 8/9 + 16/9*b - 14/9*b**4 = 0. What is b?
-1, 2/5, 1, 2
Let z(v) be the first derivative of 20*v**5 - 270*v**4 + 972*v**3 - 920*v**2 + 336*v + 853. What is c in z(c) = 0?
2/5, 3, 7
Let p = -5362/3 + 1766. Let s = p - -329/15. Factor -3/5*a**3 - s + 3/5*a**2 + 3/5*a.
-3*(a - 1)**2*(a + 1)/5
Let y(t) be the first derivative of t**6/6 - 7*t**5/5 + 19*t**4/4 - 25*t**3/3 + 8*t**2 - 4*t + 57. Find m such that y(m) = 0.
1, 2
Let z be ((-10)/(-4))/(2 + (-21)/(-12)). Factor 0 - 4/3*b - z*b**2.
-2*b*(b + 2)/3
Let w(r) = 4*r**4 + 16*r**3 - 56*r**2 + 12*r + 12. Let p(a) = -a**2 - a + 1. Let x be ((8/6)/(1/(-9)))/1. Let m(g) = x*p(g) + w(g). Find t, given that m(t) = 0.
-6, 0, 1
Let o = 15 - 15. Suppose 0*w + 2*w = o. Factor -3*j + w*j + 0 - 1 + 4*j**2.
(j - 1)*(4*j + 1)
Let j(a) be the first derivative of 4*a**3 + 14 + 4/5*a**5 - 2*a**2 + 0*a - 3*a**4. Let j(b) = 0. Calculate b.
0, 1
Let x(k) be the first derivative of k**5 - 10*k**4 + 35*k**3/3 - 58. Factor x(v).
5*v**2*(v - 7)*(v - 1)
Let w(l) be the second derivative of -l**4/60 + 2*l**3/5 - 27*l**2/10 - 2*l + 32. Determine f, given that w(f) = 0.
3, 9
Let p(y) = 3*y**2 + 234*y. Let w(b) = -4*b**2 - 352*b. Let i(j) = -8*p(j) - 5*w(j). Solve i(x) = 0.
-28, 0
Let x = 10546 + -52718/5. Let 1/5 + 48/5*f**2 + 64/5*f**3 + x*f = 0. What is f?
-1/4
Let n(m) be the third derivative of 0*m + 1/672*m**8 + 0*m**4 + 0 - 1/240*m**6 - 1/420*m**7 + 1/120*m**5 + 16*m**2 + 0*m**3. Determine z, given that n(z) = 0.
-1, 0, 1
Find s, given that -17/3*s**3 - 10*s + 1/2*s**4 + 37/2*s**2 - 50/3 = 0.
-2/3, 2, 5
Suppose 4*t = -3*s + 37, 0 = 4*s - 5*t + 35 - 105. Let m be ((-2)/s)/((-1)/3). Factor -m - 16/5*w**2 - 7/5*w**3 - 11/5*w.
-(w + 1)**2*(7*w + 2)/5
Suppose 0 = 2*j + 5*u - 21, 4*j + 0*j - 21 = -3*u. Let s be (j/(-9))/((-2)/18). Let 0*z - 12 - 3*z**2 + 5*z**2 + 4 - 8*z + 2*z**s = 0. Calculate z.
-2, -1, 2
Let m(o) = -12*o**4 - 15*o**3 - 3*o**2 + 7*o - 7. Let f(n) = -11*n**4 - 15*n**3 - 4*n**2 + 6*n - 6. Let i(a) = -7*f(a) + 6*m(a). Factor i(u).
5*u**2*(u + 1)*(u + 2)
Suppose -80 = 2*p - 88. Factor 0*a**4 - 4*a**3 - a**p + 2*a**4 - 240*a**2 + a**5 + 236*a**2.
a**2*(a - 2)*(a + 1)*(a + 2)
Let f = 192 + -182. Let o(l) be the first derivative of -1/5*l**2 - 1/15*l**3 - f + 3/5*l. Factor o(v).
-(v - 1)*(v + 3)/5
Let p be 1*(-2)/(-6) + 28/42. Let d be (p*(2 + -1))/(2*1). Find n, given that 1/2*n**4 - 2*n**3 - 2*n + 3*n**2 + d = 0.
1
Let c(i) be the second derivative of 0 + 11*i + 0*i**4 + 0*i**2 - 1/60*i**6 + 0*i**3 - 1/8*i**5. Find b such that c(b) = 0.
-5, 0
Find j such that 9/2 - 327*j + 11881/2*j**2 = 0.
3/109
Let a = 25 - 22. Let f be (-39)/(-105) - (a - 24/7). Find m such that 0 - 2/5*m**2 + 0*m - 2/5*m**4 - f*m**3 = 0.
-1, 0
Let x = -608256/23 + 26446. Factor 0 + 0*a**2 + 2/23*a - x*a**3.
-2*a*(a - 1)*(a + 1)/23
Let q = -355/3 + 4261/36. Let x(j) be the second derivative of 0 - 3*j + 1/2*j**2 + q*j**4 + 2/9*j**3. Factor x(i).
(i + 1)*(i + 3)/3
Let 0*k - 3*k**2 + 22 + 2 + 21*k = 0. What is k?
-1, 8
Let m(x) = 3*x**2 - 18*x + 18. Let y(q) = 6*q**2 - 37*q + 36. Let o(g) = -7*m(g) + 3*y(g). Factor o(l).
-3*(l - 3)*(l - 2)
Let m(d) be the third derivative of -d**5/10 + 99*d**4/16 + 25*d**3/4 - 763*d**2. Determine u, given that m(u) = 0.
-1/4, 25
Let j(k) = 7*k**3 - 15*k**2 + 28*k - 12. Let f(g) = -g**3 - g. Let y = 2 + -6. Let u(h) = y*f(h) - j(h). Solve u(m) = 0 for m.
1, 2
Let d(w) = 15*w**3 - 105*w**2 + 90*w. Let b(z) = 7*z**3 - 52*z**2 + 45*z. Let y(f) = -9*b(f) + 4*d(f). Solve y(n) = 0 for n.
0, 1, 15
Let l(w