*v**7 + 0*v**3 - 1/32*v**5 + 11*v**2 + 9/320*v**6 + 0 + 0*v. Factor i(c).
3*c*(c - 1)**3*(2*c - 1)/8
Factor 72*r**2 + 5*r**3 + 21*r - r**3 + 47*r.
4*r*(r + 1)*(r + 17)
Determine c so that -250/13*c**2 - 152/13*c - 22/13 + 24/13*c**3 = 0.
-1/3, -1/4, 11
Let o(p) be the first derivative of -p**5/5 + 3*p**4/2 - 13*p**3/3 + 6*p**2 - 4*p - 163. Let o(k) = 0. What is k?
1, 2
Suppose 0 = x - 2. Let z = -161 + 166. Find n such that 0*n**3 + 6*n + 9*n**4 - 3*n**z - 3*n**3 - 6*n**2 - 9*n**x + 6*n**2 = 0.
-1, 0, 1, 2
Let x(l) be the third derivative of l**8/3696 - l**7/462 + l**6/220 + l**5/330 - 7*l**4/264 + l**3/22 + 4*l**2. Factor x(u).
(u - 3)*(u - 1)**3*(u + 1)/11
Let y(f) = -f**2 + 12*f + 3. Let d be y(12). Factor 18*q**5 + 120*q**d + 56 + 24*q**2 - 8 - 87*q**4 - 144*q + 6*q**4 - 3*q**5.
3*(q - 2)**3*(q + 1)*(5*q - 2)
What is q in 1/2*q**5 - 1/2*q**4 + 1/2*q**2 + 10*q - 9/2*q**3 + 6 = 0?
-2, -1, 2, 3
Let d(m) = -m**2 - 12*m - 20. Let x be d(-10). Suppose -3*p = -9, 0 = -x*c + c + 3*p - 13. Factor 9/5*u**c + 0*u + 0 + 9/5*u**3 + 3/5*u**5 + 3/5*u**2.
3*u**2*(u + 1)**3/5
Let -41*l**3 + 16*l + 70*l**2 - 7 + 56*l**2 - 94*l**4 - 424*l**4 - 294*l**5 - 81*l**3 - 1 = 0. Calculate l.
-1, -1/3, 2/7
Let f(x) = 2*x - 2. Let d be f(5). Let i(m) = m**2 - 7*m - 4. Let t be i(d). Find b such that 6*b**2 + 2*b**2 - 4*b**2 + 4*b**3 - 4*b - 7*b**4 + 3*b**t = 0.
-1, 0, 1
Let g = 1846/7 + -11041/42. Factor -g - 1/6*a**2 + a.
-(a - 5)*(a - 1)/6
Suppose 0 + 15 = -5*g. Let i be 0/(-6*g/9). Solve -2/3*v + 2/3*v**3 + 0*v**2 + i = 0 for v.
-1, 0, 1
Suppose 2*y + 2*t - 6*t - 44 = 0, 3*y = -t + 87. Let o be 7/y*8 + -1 + 3. Solve 0 + s**3 - 1/2*s**2 + 0*s - 1/2*s**o = 0.
0, 1
Let v(n) be the third derivative of -1/12*n**4 + 1/15*n**5 - 2/105*n**7 - 26*n**2 + 0*n**3 + 0*n**6 + 0 + 1/168*n**8 + 0*n. Solve v(d) = 0 for d.
-1, 0, 1
Let s(d) = -2*d - 11. Let t be s(-8). Find q, given that 9*q**t + 3*q - 3*q**5 + 4*q**2 + 3*q - 2 - 12*q**3 - 2*q**4 = 0.
-1, 1/3, 1
Suppose -376 = 5*q - 3*g, 3*g - 228 = 6*q - 3*q. Let h be (-111)/q*2/12. Factor -1/4*r**2 + 1/2 - h*r.
-(r - 1)*(r + 2)/4
Let u(g) = -45*g**2 + 285*g - 20. Let y(a) = -14*a**2 + 95*a - 6. Let i(f) = 3*u(f) - 10*y(f). Suppose i(n) = 0. Calculate n.
0, 19
Find s such that -2*s**3 - 1/4*s**4 - 11/2*s + 0 + 31/4*s**2 = 0.
-11, 0, 1, 2
Let q(m) be the third derivative of -m**5/60 - 23*m**4/24 + 13*m**3 + 507*m**2 - 1. Factor q(w).
-(w - 3)*(w + 26)
Let t = 11 + 23. Suppose 10 = 4*a - t. Find l such that a*l**5 + 0*l**2 - 2*l**2 - 10*l**5 + 2*l**4 - l = 0.
-1, 0, 1
Let n(k) = -5*k**2 + 4*k + 5. Let g(y) be the third derivative of -1/10*y**5 + 0 + y**3 + 5/24*y**4 + 2*y**2 + 0*y. Let l(a) = 4*g(a) - 5*n(a). Factor l(f).
(f - 1)*(f + 1)
Let n(k) be the first derivative of 0*k + 1/30*k**5 + 3/2*k**2 - 1/3*k**3 + 0*k**4 + 1. Let t(h) be the second derivative of n(h). Let t(r) = 0. Calculate r.
-1, 1
Let s(h) = 52*h**3 + 4*h**2 - 56*h - 6. Let t(g) = -102*g**3 - 8*g**2 + 112*g + 13. Let u(j) = -5*s(j) - 2*t(j). Factor u(x).
-4*(x - 1)*(x + 1)*(14*x + 1)
Suppose 5*c - 4*v = -5, 2*c + 3*c - 3*v = -5. Let a(z) = z**2 - z. Let n(r) = r**2 - 5*r. Let u(k) = c*n(k) + 2*a(k). Factor u(m).
m*(m + 3)
Let f = -31 - 9. Let c be (1 - 0) + (96/f)/12. Factor -2/5*u**2 + c + 2/5*u.
-2*(u - 2)*(u + 1)/5
Let m(o) be the first derivative of o**3/12 + 3*o**2/4 + 33. Factor m(w).
w*(w + 6)/4
Let h(w) = -3*w**2 - 9*w + 10. Let s(q) = q**2 - 5. Let b(t) = h(t) + 2*s(t). Factor b(i).
-i*(i + 9)
Let z(p) be the first derivative of p**8/112 - p**7/35 + p**6/40 + 5*p**2/2 + 47. Let o(j) be the second derivative of z(j). Suppose o(h) = 0. What is h?
0, 1
Let k(w) be the third derivative of 0 + 0*w**4 - 1/336*w**8 + 6*w**2 - 1/120*w**6 + 1/105*w**7 + 0*w**5 + 0*w + 0*w**3. Factor k(q).
-q**3*(q - 1)**2
Let l(k) = k**2 + 6*k + 5. Let n be l(-1). Let j be n + (6/30)/(2/42). Find f such that 0 + 6/5*f**2 + 24/5*f**4 + 0*f - 9/5*f**5 - j*f**3 = 0.
0, 2/3, 1
Let k(j) be the first derivative of -j**4 + 16*j**3/3 + 30*j**2 - 72*j + 23. Determine s so that k(s) = 0.
-3, 1, 6
What is h in 3601*h**4 + 10*h**5 + 3700*h**4 - 898*h + 114*h - 7015*h**4 + 2124*h**3 + 1064*h**2 = 0?
-14, -1, 0, 2/5
Let h(j) be the third derivative of j**8/224 - 19*j**7/630 + 7*j**6/144 + j**5/12 - 11*j**4/36 + 2*j**3/9 + 73*j**2. What is l in h(l) = 0?
-1, 2/9, 1, 2
Suppose -15 = -5*o - w, -o = 4*w + 15 - 18. Determine d so that -48/7*d + 52/7*d**2 - 24/7*d**o + 4/7*d**4 + 16/7 = 0.
1, 2
Let m = -19/3 - -7. Let q be 2 + -1 - (-320)/960. Factor -m*x**2 - q*x - 2/3.
-2*(x + 1)**2/3
Suppose -103*z + 100*z = -45. Factor 76*m - 37*m - z*m**3 - 39*m - 10*m**2.
-5*m**2*(3*m + 2)
Let v be (-135)/(-54) + (2/4)/1. Let f(c) be the first derivative of 15*c + 15/2*c**4 + 25*c**2 + c**5 + 20*c**v + 7. Factor f(n).
5*(n + 1)**3*(n + 3)
Let b(x) be the second derivative of -x**8/1680 + x**7/840 + x**6/180 - 11*x**3/3 + 19*x. Let d(h) be the second derivative of b(h). What is m in d(m) = 0?
-1, 0, 2
Suppose 0 = -2*x - 5*k + k + 20, 5*x = -k + 5. Let b(g) = -142*g + 713. Let m be b(5). Let 0*q**2 - 2*q**4 + x + 0*q - 4/5*q**m = 0. What is q?
-2/5, 0
Suppose -11 = 3*a + 4*x, a + x - 1 = -3. Let y(l) be the third derivative of 0*l - 1/100*l**5 + l**2 - 1/40*l**4 + 1/5*l**a + 0. Solve y(p) = 0 for p.
-2, 1
Let c(p) be the first derivative of 32/3*p**3 - 4/3*p**4 - 1/2*p**2 + 1/15*p**5 + 0*p - 6. Let r(t) be the second derivative of c(t). Factor r(a).
4*(a - 4)**2
Let x(m) be the second derivative of -1/140*m**5 + 0 - 2/21*m**3 + 0*m**2 - 14*m + 5/84*m**4. Let x(d) = 0. What is d?
0, 1, 4
Let o = 32899/39474 + -2/19737. Determine d, given that 0 + 5/3*d**4 - o*d + 0*d**3 - 5/3*d**2 + 5/6*d**5 = 0.
-1, 0, 1
Let d(r) = 3*r - 16. Let a be d(10). Find o such that 2*o**4 - 14*o**2 + a*o**2 = 0.
0
Factor 16*u + 126*u**3 - 112*u**3 + 25*u**2 - 85*u**2.
2*u*(u - 4)*(7*u - 2)
Let q(m) be the first derivative of m**9/1890 + m**8/280 + m**7/175 - m**6/225 + 10*m**3 - 39. Let j(z) be the third derivative of q(z). Factor j(n).
2*n**2*(n + 2)**2*(4*n - 1)/5
Let v(g) = -g**3 - 28*g**2 - 3*g - 80. Let b be v(-28). Let u(f) be the first derivative of 0*f**2 - 1/2*f**b + 0*f + 2 - 4/27*f**3 - 14/45*f**5. Factor u(s).
-2*s**2*(s + 1)*(7*s + 2)/9
Let k(t) be the first derivative of -t**5/25 - t**4/2 - 5*t**3/3 + 143. Factor k(n).
-n**2*(n + 5)**2/5
Let y(u) = -2*u + 10. Let q = 14 + -10. Let p be y(q). Factor -2*z**3 - 2*z**p + 0 - 2/3*z**4 - 2/3*z.
-2*z*(z + 1)**3/3
Let o = 9427/5 - 1951. Let q = o + 66. Solve 0 + 2*u**3 - q*u - 6/5*u**4 - 2/5*u**2 = 0 for u.
-1/3, 0, 1
Let d(a) be the second derivative of 8*a + 0 + 0*a**2 - 1/8*a**4 - 3/40*a**5 - 1/60*a**6 - 1/12*a**3. Factor d(b).
-b*(b + 1)**3/2
Suppose -3*c - 4 = -2*k - 0, -k = 4*c - 13. Suppose -2*v - 4*n + 22 = 0, -n - c*n + 27 = 5*v. Let 0*t + 0*t**v + 0*t**2 + 1/2*t**4 + 0 = 0. Calculate t.
0
Let h(i) be the second derivative of 1/120*i**6 + 5*i + 1/24*i**3 + 0 + 0*i**2 - 1/48*i**4 - 1/80*i**5. Solve h(x) = 0.
-1, 0, 1
Let z(d) = 5*d**2 - 17*d - 30. Let s(k) = -11*k**2 + 35*k + 60. Let p(y) = -4*s(y) - 9*z(y). Let p(j) = 0. What is j?
-2, 15
Factor -39/5*r**3 - 3/5*r**5 - 36*r**2 + 6*r**4 + 0 - 108/5*r.
-3*r*(r - 6)**2*(r + 1)**2/5
Let y(s) = -2*s**3 - 20*s**2 - 10*s + 32. Let t(d) = d**2 - d. Let q(b) = -6*t(b) - y(b). Find j such that q(j) = 0.
-4, 1
Suppose 38 = 3*y + 23, 65 = 4*m + y. Suppose 0 = -4*k + 45 + 35. Factor m - k*n - 10/3*n**3 - 55/3*n**2.
-5*(n + 3)**2*(2*n - 1)/3
Let -4050*f**4 - 8 - 1978*f**2 - 8019*f**3 + 178*f**2 - 1538*f**2 + 279*f**3 + 344*f = 0. Calculate f.
-1, 2/45
Let -28/9*r**3 - 2192/9*r + 208/3*r**2 + 64 = 0. Calculate r.
2/7, 4, 18
Let k(l) be the second derivative of -l**7/210 - 2*l**6/45 - l**5/10 + 17*l**3/6 + 19*l. Let t(s) be the second derivative of k(s). Factor t(a).
-4*a*(a + 1)*(a + 3)
Let c(j) be the first derivative of -9*j**6/14 + 3*j**5/5 + 3*j**4/14 - 476. Solve c(y) = 0 for y.
-2/9, 0, 1
Suppose 0 + c + 1/2*c**2 = 0. What is c?
-2, 0
Let w(b) = -b**2 + 24*b + 3. Let x be w(24). Find s such that 95*s - 67*s - x*s**2 - 4*s**3 - 16 - 5*s**2 = 0.
-4, 1
Let n(c) = 4*c - 2. Let j be n(1). Suppose 0*y + 3*y**2 + 5*y**j - 3*y**2 - 15*y = 0. What is y?
0, 3
Determine r so that 2/7*r**3 + 4 + 46/7*r + 20/7*r**2 = 0.
-7, -2, -1
Let y be (