 that -5*r**2 + 15*r + 23*r**2 + 5*r**a - 11*r**2 + 6 + 3*r**3 = 0.
-2, -1
Suppose -12 = 2*q - 6*q. Factor -12*b**2 - 7*b**q + 13*b**3 + 4*b - 2*b**3 + 4*b.
4*b*(b - 2)*(b - 1)
Let h(i) be the first derivative of 27*i**4/4 - 2*i**3 - 27*i**2/2 + 6*i - 105. Factor h(g).
3*(g - 1)*(g + 1)*(9*g - 2)
Factor 2/23*v**3 + 320/23*v - 58/23*v**2 + 1536/23.
2*(v - 16)**2*(v + 3)/23
Let d(g) be the first derivative of 5/3*g**3 + 10 + 7/2*g**2 + 1/4*g**4 + 3*g. Factor d(j).
(j + 1)**2*(j + 3)
Suppose i - 2*i = -2. Factor t + 452*t**2 - 6*t - 457*t**i.
-5*t*(t + 1)
Let s(l) = -l**3 - 3*l - 18. Let v(o) = -o**3 - o**2 - 3*o - 17. Let b(m) = -4*s(m) + 5*v(m). Let j be b(-5). Suppose 2/3 - 1/3*z**j + 1/3*z = 0. What is z?
-1, 2
Let f(d) be the second derivative of 1/6*d**3 + 0*d**2 + 0 - 1/20*d**5 + 1/30*d**6 - 1/12*d**4 + 5*d. Solve f(t) = 0 for t.
-1, 0, 1
Find n, given that 0*n**3 - 3/2*n**4 + 2*n**2 + 0 + 0*n + 1/2*n**5 = 0.
-1, 0, 2
Let t(r) be the second derivative of -r**5/60 - 5*r**4/12 + 26*r**3/9 - 6*r**2 + 140*r. Find s, given that t(s) = 0.
-18, 1, 2
Suppose 6*y - 5 = 7. Find a such that 128*a**3 + 10 - 32*a - 95*a**y + 450*a**5 + 1000*a**4 - 10 - 65*a**2 = 0.
-2, -2/5, -2/9, 0, 2/5
Let y(l) = 19*l**2 + 184*l - 182. Let b(u) = -17*u**2 - 182*u + 181. Let n(i) = -7*b(i) - 6*y(i). Suppose n(w) = 0. Calculate w.
-35, 1
Suppose 4*w = 506*h - 507*h, 2*w = -2*h. Factor 2/5*i**5 + h + 0*i + 0*i**2 - 8/5*i**4 + 6/5*i**3.
2*i**3*(i - 3)*(i - 1)/5
Let o(v) = v**3 - 13*v**2 + 5*v - 37. Let r be o(16). Let w = r - 4034/5. Factor 6/5*s**2 + 0*s + w*s**3 + 0 + 3*s**4.
3*s**2*(s + 1)*(5*s + 2)/5
Let v(r) = -11*r**4 - 21*r**3 + 109*r**2 - 81*r + 16. Let a(s) = 21*s**4 + 41*s**3 - 219*s**2 + 161*s - 32. Let i(g) = 3*a(g) + 7*v(g). Let i(q) = 0. What is q?
-4, 2/7, 1
Let r(a) be the first derivative of a**8/672 - a**6/240 - 11*a**2 + 10. Let b(y) be the second derivative of r(y). Factor b(h).
h**3*(h - 1)*(h + 1)/2
Let v(c) be the third derivative of 37*c**2 - 1/12*c**5 + 0*c**3 + 0 + 0*c - 5/24*c**4. Factor v(r).
-5*r*(r + 1)
Let k(s) be the third derivative of s**5/120 + 29*s**4/12 + 227*s**2 + 1. Factor k(y).
y*(y + 116)/2
Let w(d) = -2*d**2 + 56*d + 48. Let q(v) = 2*v**2 - 64*v - 49. Let m(a) = 6*q(a) + 7*w(a). Let m(g) = 0. Calculate g.
-3, 7
Let j(y) = 5*y**2 + 10*y - 55. Let h(b) = 3*b**2 + 5*b - 28. Let x(i) = 5*h(i) - 2*j(i). Solve x(v) = 0.
-3, 2
Let m be (1 - 1)/(-1 - -4). Suppose -3*d = 4*o - 1, -5*d + o = -8 - 9. Factor l**3 + 2*l**5 + m*l**d + 2 + 2*l**4 + 2*l - 4*l**2 - 5*l**3.
2*(l - 1)**2*(l + 1)**3
Suppose 0 + 16/3*d - 80/3*d**2 + 100/3*d**3 = 0. What is d?
0, 2/5
Let p = -3263/24 - -136. Let l(v) be the third derivative of -5*v**2 + 0*v**3 + 0*v + 0 + p*v**4 + 1/180*v**5. Find i such that l(i) = 0.
-3, 0
Let n = -1044 - -1047. Let q(l) be the first derivative of 0*l**2 - 1/5*l**n + 10 + 3/5*l. Find t, given that q(t) = 0.
-1, 1
Let t(w) = -16*w**4 + 36*w**3 - 20*w**2. Let b(h) = h**4 - h**3. Let s be (-3 - (-4 - 0))/(-1). Let d(l) = s*b(l) - t(l). Find q, given that d(q) = 0.
0, 1, 4/3
Factor 1/2*w**2 - 1/4*w**3 + 0 + 0*w.
-w**2*(w - 2)/4
Let -1/3*n + 2/3*n**3 + 20*n**2 - 10 - 10*n**4 - 1/3*n**5 = 0. Calculate n.
-30, -1, 1
Let j(c) = 2*c**3 + 13*c**2 + 11*c - 3. Let m(t) = 2*t**3 + 14*t**2 + 12*t - 2. Let f(h) = 2*j(h) - 3*m(h). Solve f(z) = 0.
-7, -1, 0
Suppose -13*z**3 + 3*z**2 + 0*z**3 - 4*z - 2*z**5 + 2*z**4 + z**5 - 8*z**4 - 15*z**2 = 0. Calculate z.
-2, -1, 0
Let o(c) be the second derivative of c**4/66 - 2*c**3/11 - 7*c**2/11 - 372*c. Solve o(u) = 0 for u.
-1, 7
Factor -4*a + 7/5*a**2 + 12/5.
(a - 2)*(7*a - 6)/5
Let a = 14585 + -72907/5. Suppose -21/5*w + 0*w**2 + 3/5*w**3 + a = 0. Calculate w.
-3, 1, 2
Let l be (-11)/33 - (0 - 302/6). Let t = l - 99/2. Factor p**2 - 1/2 - t*p.
(p - 1)*(2*p + 1)/2
Let c = -13 + 17. Factor v**3 - v + 3*v - v**2 + 3*v - 6*v + v**c.
v*(v - 1)*(v + 1)**2
Let w(d) be the first derivative of -d**3/3 - d**2/2 + 4*d - 28. Let c be w(0). Determine n, given that -4/3*n**2 - 20/3*n**3 + 0*n - 7*n**c + 0 = 0.
-2/3, -2/7, 0
Let h(p) be the first derivative of p**6/30 - 187*p**5/25 + 6533*p**4/10 - 402038*p**3/15 + 4464389*p**2/10 + 4879681*p/5 + 30. Determine n so that h(n) = 0.
-1, 47
Factor -16*i**3 + 4*i**3 + 28*i**3 + 30*i - i**3 - 81*i**2.
3*i*(i - 5)*(5*i - 2)
Let x(z) be the third derivative of 0*z + 1/24*z**4 + 1/6*z**3 + 0 + 1/240*z**5 - 20*z**2. Factor x(j).
(j + 2)**2/4
Let j(q) = -18*q + 129. Let d be j(7). Let v(h) be the first derivative of 0*h**4 + h**d - 1/5*h**5 + 3 + 0*h - h**2. Factor v(y).
-y*(y - 1)**2*(y + 2)
Let b(c) be the second derivative of 3/5*c**5 - 7/4*c**4 - c**3 + 0 + 0*c**2 - 7*c. Determine d, given that b(d) = 0.
-1/4, 0, 2
Suppose -8 = -2*i + 2*j, i + 2*j = 3 - 2. Factor 2 + 4 - 24*r - 24 + 22*r**2 - 4*r**i.
-2*(r - 3)**2*(2*r + 1)
Let q(c) be the second derivative of -c**4/6 - 16*c**3 - 576*c**2 - 4*c + 33. Find x, given that q(x) = 0.
-24
Let m = -305 - -310. Let y(h) be the third derivative of 0*h**m + 0*h**3 + 5*h**2 + 0*h**4 - 1/360*h**6 + 0*h + 1/630*h**7 + 0. Factor y(l).
l**3*(l - 1)/3
Let d(x) = x**2 - 7*x - 15. Let j be d(9). Let z be (-496)/176 + 9/j. Find a such that 0 - z*a + 2/11*a**2 = 0.
0, 1
Factor 648/5*z**2 + 3/5*z**4 + 3888/5 - 2592/5*z - 72/5*z**3.
3*(z - 6)**4/5
Let u = -240/131 - -982/393. Factor -4/3 + u*b + 2/3*b**2.
2*(b - 1)*(b + 2)/3
Determine w so that 5/4*w**3 + 0 + 7/4*w**4 + 0*w - 1/2*w**2 = 0.
-1, 0, 2/7
Let h(q) be the third derivative of -q**7/280 - 3*q**6/80 - 13*q**5/80 - 3*q**4/8 - q**3/2 + 120*q**2. Find u, given that h(u) = 0.
-2, -1
Let l(g) = -2*g**3 + 2*g**2 + 126*g + 784. Let z(j) = j**3 - 2*j**2 - 63*j - 392. Let s(u) = 8*l(u) + 14*z(u). Let s(q) = 0. What is q?
-7, 8
Let a(k) be the third derivative of 0 - 125/36*k**3 - 1/72*k**5 + 25/72*k**4 + 0*k - 2*k**2. Factor a(p).
-5*(p - 5)**2/6
Let h(u) be the first derivative of -8/15*u**5 - u**4 - 1/9*u**6 - 8/9*u**3 + 0*u - 9 - 1/3*u**2. Factor h(d).
-2*d*(d + 1)**4/3
Let s(h) be the third derivative of -h**8/1344 - h**7/140 + h**6/48 + h**5/15 - 11*h**4/32 + 7*h**3/12 + 244*h**2. Factor s(b).
-(b - 1)**3*(b + 2)*(b + 7)/4
Solve 9*x**2 - 21*x**4 - 6*x**3 + 2*x**2 - 11*x**2 = 0 for x.
-2/7, 0
Suppose 133*l - 77 = 588. Solve 0 - 3/7*y**l - 9/7*y**3 + 9/7*y**4 + 3/7*y**2 + 0*y = 0 for y.
0, 1
Determine f, given that -48/7*f + 2/7*f**4 - 30/7*f**3 + 76/7*f**2 + 0 = 0.
0, 1, 2, 12
Let h(p) = -20*p**2 - 8*p + 12. Let k(c) be the third derivative of c**5/3 + c**4/3 - 2*c**3 - 15*c**2. Let i(d) = -5*h(d) - 6*k(d). Factor i(w).
-4*(w + 1)*(5*w - 3)
Let y be (-27)/(-6)*(-16)/(-36). Let v be -13*((-8)/y)/4. Factor -29*k + v*k - 10 - 6 - 4*k**2.
-4*(k + 2)**2
Let c(l) be the third derivative of l**8/336 + l**7/30 - 3*l**6/20 + l**5/30 + 17*l**4/24 - 3*l**3/2 + 8*l**2. Factor c(g).
(g - 1)**3*(g + 1)*(g + 9)
Let j = -10 - -13. Determine q so that -12*q**2 - q**4 - 24*q - 18*q**j - 2*q**4 - 24*q**2 = 0.
-2, 0
Let f = -16 + 16. What is s in 6*s**2 + s**3 + 2*s**3 + f*s**2 = 0?
-2, 0
Let i(j) be the first derivative of -j**4/28 - 13*j**3/21 + 32*j**2/7 - 68*j/7 + 165. Find y such that i(y) = 0.
-17, 2
Let w(v) = v**3 + v**2 + 1. Let n(g) = 9*g**2 + 5*g**2 + 7*g**3 - g**3 + 22 + 20*g. Let k(i) = -n(i) + 10*w(i). Let k(h) = 0. Calculate h.
-1, 3
Let z(r) be the second derivative of r**7/315 - 29*r**6/225 - r**5/75 + 29*r**4/45 + r**3/45 - 29*r**2/15 - 709*r. Suppose z(w) = 0. Calculate w.
-1, 1, 29
Let b = 57 + -54. Let h(x) be the third derivative of 6*x**2 + 0 + 0*x**b - 2/105*x**7 + 0*x**6 + 0*x + 0*x**4 + 0*x**5. Let h(g) = 0. Calculate g.
0
Let q = 4595/9162 + -7/4581. Factor 0*l - 1/4*l**2 + 0 + 3/4*l**3 - q*l**4.
-l**2*(l - 1)*(2*l - 1)/4
Let i(f) be the third derivative of 0 + 0*f + 0*f**3 + 21*f**2 + 13/240*f**6 - 1/8*f**4 + 5/42*f**8 + 7/24*f**5 - 62/105*f**7. Find h, given that i(h) = 0.
-2/5, 0, 1/4, 3
Let d(i) be the first derivative of -9 - i + 2/3*i**3 - 1/5*i**5 + 0*i**4 + 0*i**2. Factor d(t).
-(t - 1)**2*(t + 1)**2
Let o(w) be the second derivative of w**6/70 - 3*w**5/14 + 37*w**4/28 - 30*w**3/7 + 54*w**2/7 + 7*w + 10. Let o(a) = 0. What is a?
2, 3
Let m(q) be the first derivative of -q**4/6 + 2*q**3/3 + 3*q**2 + 10*q/3 - 68. Solve m(f) = 0 for f.
-1, 5
Suppose -5*t + 2*l + 2*l + 60 = 0, 5