*o. Let c(j) = -7*j**5 + 22*j**4 - 10*j**3 - 2*j**2 - 2*j. Let q(d) = -22*c(d) - 4*g(d). Factor q(w).
2*w**3*(w - 4)*(5*w - 2)
Factor 1 - u**2 + 1/2*u - 1/2*u**3.
-(u - 1)*(u + 1)*(u + 2)/2
Let a(i) be the second derivative of i**5/160 - i**4/48 - i**3/16 - 13*i. Suppose a(k) = 0. Calculate k.
-1, 0, 3
Factor -8/9*n - 8/9*n**3 - 2/9 - 4/3*n**2 - 2/9*n**4.
-2*(n + 1)**4/9
Let w(f) = 1. Let h(n) = n**2 - 3*n - 1. Let l be 0 + (-1)/(-2)*4. Let b(r) = l*h(r) + 6*w(r). Determine k so that b(k) = 0.
1, 2
Let a(u) be the third derivative of -2/21*u**3 + 1/84*u**6 + 0 - 5/84*u**4 + 1/105*u**5 + 2*u**2 + 0*u. Solve a(f) = 0 for f.
-1, -2/5, 1
Let b be (1/5*-18)/((-42)/20). Find l, given that 2/7*l**2 + b*l + 18/7 = 0.
-3
Let s(y) be the second derivative of -y**9/3024 + y**7/280 + y**6/180 - 4*y**3/3 - y. Let m(b) be the second derivative of s(b). Suppose m(i) = 0. Calculate i.
-1, 0, 2
Suppose -3*h - 9*h = 0. Let r(p) be the third derivative of -1/180*p**6 + 0*p + 2*p**2 + h - 1/90*p**5 + 1/9*p**3 + 1/36*p**4. Find b such that r(b) = 0.
-1, 1
Find k such that -8/3*k**3 + 2/3*k**5 + 1/3*k**4 - 1/3*k**2 + 2*k + 0 = 0.
-2, -1, 0, 1, 3/2
Let q = 9 - 4. Suppose y + 7 = 3*x, q*y + 2*x - 8 = 4*y. Determine f, given that 2*f**4 + f - y*f**2 + 0*f**4 - f = 0.
-1, 0, 1
Factor -1/2 - 1/2*p**2 + p.
-(p - 1)**2/2
Suppose 1 = 5*g - 19. Let c(l) be the second derivative of 1/30*l**g - 2*l + 0*l**3 + 0*l**2 + 0. Factor c(q).
2*q**2/5
What is b in -12/7*b + 6/7*b**4 - 33/7*b**3 - 24/7 + 54/7*b**2 = 0?
-1/2, 2
Let d(f) be the first derivative of f**6/10 - 3*f**5/25 - 9*f**4/20 + f**3/5 + 3*f**2/5 + 14. Find h such that d(h) = 0.
-1, 0, 1, 2
Factor -14/19*k**3 - 46/19*k**2 + 0 - 12/19*k.
-2*k*(k + 3)*(7*k + 2)/19
Let u(d) = 20*d**4 + 16*d**3 - 28*d**2 + 8*d + 16. Let a(k) = -k**4 - k**3 + k**2 - 1. Let b(h) = -16*a(h) - u(h). Determine l, given that b(l) = 0.
-2, 0, 1
Let a(v) be the second derivative of v**5/10 + v**4 + 11*v**3/3 + 6*v**2 - 4*v + 5. Find s, given that a(s) = 0.
-3, -2, -1
Let z(k) = 17*k**2 - 36*k - 20. Let s(m) = 4*m**2 - 9*m - 5. Let c(o) = -9*s(o) + 2*z(o). Determine f so that c(f) = 0.
-1/2, 5
Let n(j) be the third derivative of j**5/100 - j**4/40 - 14*j**2. Factor n(u).
3*u*(u - 1)/5
Let u = 73/462 + 1/42. Factor -2/11*d**2 + u*d + 0.
-2*d*(d - 1)/11
Suppose -2*d = 3*h - 19, 0*h = 5*h + 3*d - 31. Let k(c) be the second derivative of 0*c**2 + 0 + 1/9*c**3 + 2*c - 1/9*c**4 + 1/30*c**h. Solve k(w) = 0 for w.
0, 1
Let q(a) = 6*a**4 - 5*a**3 - 6*a**2 - 5*a - 5. Let t(z) = 5*z**4 - 4*z**3 - 5*z**2 - 4*z - 4. Let k(n) = -4*q(n) + 5*t(n). Factor k(p).
p**2*(p - 1)*(p + 1)
Let v(d) be the third derivative of -d**6/600 - 7*d**5/150 - 5*d**4/24 - 2*d**3/5 - 51*d**2. Suppose v(l) = 0. Calculate l.
-12, -1
Let c = -1/70 + 493/210. Let k be (-3)/(18/(-5))*2. What is j in -c*j**2 + k*j**3 + 2/3*j + 0 = 0?
0, 2/5, 1
Let t = -25 + 44. Suppose 0 = -w - 2*n + 11, -4*w + 13 = 5*n - t. Factor 2*f + 2*f - 2*f**2 - 12*f**w - f**2 - 2*f - 7*f**4.
-f*(f + 1)**2*(7*f - 2)
Suppose 0 = -4*b + 12 - 0. Factor 1/2*m - 1/2*m**4 - 1/2*m**b + 1/2*m**2 + 0.
-m*(m - 1)*(m + 1)**2/2
Let d(q) be the first derivative of -3*q**6/13 - 4*q**5/65 + 27*q**4/26 + 16*q**3/13 + 4*q**2/13 - 17. Find x, given that d(x) = 0.
-1, -2/9, 0, 2
Suppose -2*d + 1 = -d. Let f(v) = v**4 - 1. Let z(x) = 4*x**4 + 4*x**2 + 0*x**4 - 14 + 6. Let t(c) = d*z(c) - 6*f(c). Factor t(b).
-2*(b - 1)**2*(b + 1)**2
Let h(n) be the first derivative of 8/9*n**3 - 4/3*n - 2/9*n**6 + 4 - 2/3*n**2 + 2/3*n**4 - 4/15*n**5. Factor h(f).
-4*(f - 1)**2*(f + 1)**3/3
Let r(d) = -16*d**2 - 17*d + 16 - 6*d**2 - d**3 + 39*d**2. Let k be r(16). Factor 0 + k*h + 2/3*h**3 + 2/9*h**2 - 8/9*h**4.
-2*h**2*(h - 1)*(4*h + 1)/9
Let d(j) be the first derivative of -j**7/840 + 7*j**6/360 - j**5/8 + 3*j**4/8 - 3*j**3 - 3. Let p(x) be the third derivative of d(x). Solve p(q) = 0.
1, 3
Let s(q) be the third derivative of -q**7/7140 - q**6/1020 - q**5/340 - q**4/204 - 2*q**3/3 - 6*q**2. Let t(w) be the first derivative of s(w). Factor t(i).
-2*(i + 1)**3/17
Let v(r) be the first derivative of r**6/18 + r**5/5 + r**4/4 + r**3/9 - 2. Factor v(d).
d**2*(d + 1)**3/3
Let x be -1*((0 - 0) + 0). Let t(g) = -103*g + 3. Let l be t(0). Factor -2/5*s**l + 1/5*s**4 + 1/5*s**2 + x*s + 0.
s**2*(s - 1)**2/5
Let u(d) be the first derivative of -3/16*d**4 + 0*d**2 - 4 - 1/20*d**5 + 0*d - 1/6*d**3. What is o in u(o) = 0?
-2, -1, 0
Let j = 442 - 3078/7. Solve 50/7*y**5 + 0 + 228/7*y**3 - 104/7*y**2 + j*y - 190/7*y**4 = 0 for y.
0, 2/5, 1, 2
Let s = 17 - 13. Find m, given that 2*m**3 + 6*m**3 + 0*m**5 - 4*m**5 + s*m**4 = 0.
-1, 0, 2
Let j be 368/(-14) - (-18)/63. Let l be (3 + j/9)*10. Let l*k - 8/3*k**4 - 34/9*k**3 - 2/9 + 2/9*k**2 = 0. What is k?
-1, 1/4, 1/3
Let v = -17 + 24. Suppose 8*b**3 - v*b**3 + 0*b**2 - 2*b**2 = 0. Calculate b.
0, 2
Let k(d) = d**3 - 27*d**2 + 5*d + 6. Let u(c) = 4*c**3 - 80*c**2 + 16*c + 18. Let m(t) = -14*k(t) + 5*u(t). Solve m(l) = 0 for l.
-1/3, 1, 3
Let r = 22 - 15. Let n(g) be the second derivative of 0 - 7/30*g**6 + 7/60*g**5 + 2/3*g**2 - g + 1/14*g**r - 8/9*g**3 + 17/36*g**4. Let n(d) = 0. Calculate d.
-1, 2/3, 1
Suppose -j + 6 = j. Let -28*p + 7*p**4 - 4*p**4 - 3*p**2 + 25*p + j*p**3 = 0. What is p?
-1, 0, 1
Let r(z) be the second derivative of z**4/20 + z**3/5 + 3*z**2/10 + 19*z. Factor r(a).
3*(a + 1)**2/5
Factor 1 - 12*a - 6 - 12*a**2 + 1 - 4*a**3.
-4*(a + 1)**3
Let m(q) be the third derivative of -q**8/40320 + q**5/15 - 5*q**2. Let p(i) be the third derivative of m(i). Factor p(k).
-k**2/2
Let r = 38/105 - 1/35. Let m(p) be the first derivative of -r*p**6 + 2/5*p**5 + 2*p - p**2 + 1 + p**4 - 4/3*p**3. Factor m(f).
-2*(f - 1)**3*(f + 1)**2
Let n(o) = -o**3 + 8*o**2 + 3. Let y be n(8). Let q be ((-11)/y + 3)*-2. Factor -32/3*f**2 - 6*f**3 + q - 10/3*f.
-2*(f + 1)**2*(9*f - 2)/3
Let w(h) be the third derivative of 1/2*h**3 + 0 + 1/8*h**6 + 0*h + 3*h**2 - 5/8*h**4 + 3/20*h**5 - 2/35*h**7. Let w(g) = 0. Calculate g.
-1, 1/4, 1
Factor 0 + p**2 - 2/5*p.
p*(5*p - 2)/5
Let b be 7/(-5) - -1 - -2. Suppose -w - 1 = -2*w - k, -4*w - 3 = -3*k. Let b*r**2 + 6/5*r**3 + w + 2/5*r = 0. What is r?
-1, -1/3, 0
Let o(z) be the second derivative of -z**5/110 + 4*z**3/33 + 10*z. Factor o(j).
-2*j*(j - 2)*(j + 2)/11
Let o be ((-1)/2)/((-36)/(-11640)). Let t = o + 163. Factor t*z**2 - 7/3*z - 2/3.
(z - 2)*(4*z + 1)/3
Suppose -h + 9 = -2. Find p such that 4*p**3 + 0*p**4 - 21*p**2 - 5*p**4 - 2 + h*p + 13*p**3 = 0.
2/5, 1
Let y(q) be the first derivative of 1/5*q**5 - 1 + 2*q**2 + 4*q - q**3 - 1/2*q**4. Let y(l) = 0. Calculate l.
-1, 2
Let z(f) be the second derivative of -f**7/126 - f**6/45 + f**5/15 + f**4/18 - f**3/6 - 34*f. Solve z(j) = 0.
-3, -1, 0, 1
Suppose 4*a = -b + 3, 2*a + b - 9 = 2*b. Suppose 5 = -2*l - 2*l + g, -a*g = -10. Factor 0*x**2 + 1/2*x**4 + l*x**3 + 0 + 0*x.
x**4/2
Let g be 221/969 + (-4)/(-38). Factor -1/3*l**2 + g*l + 2/3.
-(l - 2)*(l + 1)/3
Let i be (-3)/(-3)*0 + -1. Let o be (-5 + i)*2/(-18). Solve 2/3*h**2 + 0 - o*h = 0 for h.
0, 1
Let r(q) = q**2 + q. Let o(g) = -g**4 + 2*g**3 - 3*g**2 - 2*g. Let l(m) = o(m) + 2*r(m). Find v such that l(v) = 0.
0, 1
Suppose -5*w + 6*w - 3 = 0. Let p(n) be the first derivative of 0*n - 1/4*n**2 - w + 1/6*n**3. Factor p(f).
f*(f - 1)/2
Let n(o) be the first derivative of -o**5/80 + o**4/8 - o**3/2 - 3*o**2/2 + 1. Let w(j) be the second derivative of n(j). Factor w(r).
-3*(r - 2)**2/4
Let h(c) = c + 8. Let f be h(-5). Suppose 0 = -f*r + 5*r. Suppose -1/4*j**2 + 1/4*j**5 + 1/4*j**4 + r - 1/4*j**3 + 0*j = 0. Calculate j.
-1, 0, 1
Let v(u) = -17*u**5 + 13*u**3 - 12*u**2 - 7*u + 1. Let i(n) = -6*n**5 + 4*n**3 - 4*n**2 - 2*n. Let j(t) = -11*i(t) + 4*v(t). Factor j(o).
-2*(o - 1)**3*(o + 1)*(o + 2)
Let l = -37/21 - -7/3. Factor 8/7*n**4 - l*n + 0 + 0*n**3 + 4/7*n**5 - 8/7*n**2.
4*n*(n - 1)*(n + 1)**3/7
Let r = 1187/14 + -169/2. Factor 0*m + 0*m**2 + r*m**3 + 4/7*m**4 + 0 + 2/7*m**5.
2*m**3*(m + 1)**2/7
Let v(d) be the first derivative of -d**6/420 - d**5/210 + d**4/84 + d**3/21 - d**2/2 + 4. Let f(t) be the second derivative of v(t). Factor f(l).
-2*(l - 1)*(l + 1)**2/7
Factor 57*r**2 - 30*r - 34*r**2 + 27 - 20*r**2.
3*(r - 9)*(r - 1)
Let p = -10 - -6. Let q(y) = -9*y**2 - 8*y + 1. Let n(d) = 3*d**