r l*m + 4*m**3 - 8*m + 30*m**5 - 32*m**5.
-2*m*(m - 1)**2*(m + 1)**2
Let k = -86 + 88. Factor 1089*q + 24*q**2 + 83*q**k - 10*q**2 + 2*q**2 + 3993 + 3*q**3.
3*(q + 11)**3
Let q(f) be the first derivative of 2/3*f**2 + 1/3*f**3 - 6*f + 7 + 1/18*f**4. Let l(o) be the first derivative of q(o). Factor l(i).
2*(i + 1)*(i + 2)/3
Let l(m) = -m**3 - 72*m**2 - 204*m + 212. Let c be l(-69). Factor -2/9*f**c + 0 - 10/9*f**3 + 0*f - 8/9*f**4 - 4/9*f**2.
-2*f**2*(f + 1)**2*(f + 2)/9
Suppose -55 = 8*d - 7. Let i be (-403)/(-143) + d/(-33). Factor 1/3*j**i - 1/3*j - 2/3*j**2 + 2/3.
(j - 2)*(j - 1)*(j + 1)/3
Let j(p) be the first derivative of -p**4/18 + 10*p**3/9 - 8*p**2 + 224*p/9 - 98. Factor j(n).
-2*(n - 7)*(n - 4)**2/9
Find x, given that -160*x**2 + 163*x**2 + 117612 - 989*x + 526*x - 725*x = 0.
198
Factor -12 + 3*o + 3/2*o**2.
3*(o - 2)*(o + 4)/2
Factor 1/4*q + 3/4 - 1/4*q**3 - 3/4*q**2.
-(q - 1)*(q + 1)*(q + 3)/4
Factor -149*g**2 - 144*g**3 - 17*g**4 - 69088*g**5 + 69085*g**5 - 22*g**4 + 41*g**2.
-3*g**2*(g + 1)*(g + 6)**2
Let i be ((-12)/8)/(4/(-192)). Let f be (-2 - i/(-39)) + (-774)/(-468). Determine n, given that 0 + 3/2*n**2 - n**3 - f*n**4 + n = 0.
-1, -2/3, 0, 1
Factor 2/5*q**2 - 288/5*q + 10368/5.
2*(q - 72)**2/5
Let w(k) be the second derivative of -1/3*k**4 + 8*k**2 + 0 - 10*k + 2*k**3. Factor w(i).
-4*(i - 4)*(i + 1)
Let v(f) = f**3 + f**2 + 1. Let d = 3 - 4. Let s(z) = -3*z**3 - 3*z**2 + 50*z - 38. Let m(l) = d*s(l) + 2*v(l). Determine i, given that m(i) = 0.
-4, 1, 2
Let p(b) = b**5 - b**4 - b**3 - b**2 - b. Let z(x) = 8*x**5 - 10*x**4 - 8*x**3 - 10*x**2 - 10*x. Let d(g) = -20*p(g) + 2*z(g). Factor d(k).
-4*k**3*(k - 1)*(k + 1)
Let d be (1 - 2/((-70)/21)*-3) + 2. Factor -9/5*q**2 - d*q + 0*q**3 + 0 + 3/5*q**4.
3*q*(q - 2)*(q + 1)**2/5
Let d(r) = r**2 - 13*r + 9. Let h be d(9). Let o be (-114)/h + 4/(-18). Factor -2 - o + 18*w**3 + 4*w**2 + 2 - 12*w**3 - 6*w.
2*(w - 1)*(w + 1)*(3*w + 2)
Suppose 13*r = 179 + 191 - 344. Factor -8/3*m + 0 + 2/3*m**3 + r*m**2.
2*m*(m - 1)*(m + 4)/3
Let k(f) be the first derivative of -1/36*f**6 - 1/3*f**4 + 0*f - 7 + 2/9*f**3 + 1/6*f**5 + 0*f**2. What is j in k(j) = 0?
0, 1, 2
Let n(y) be the second derivative of -11*y - 3/10*y**3 + 0*y**4 + 3/100*y**5 - 3/5*y**2 + 0. Factor n(j).
3*(j - 2)*(j + 1)**2/5
Let a(t) be the third derivative of 0 - 23*t**2 - 2/3*t**3 + 1/120*t**5 + 0*t - 7/48*t**4. Find c, given that a(c) = 0.
-1, 8
Let t = -82 + 84. Find q, given that 5 - 3*q**t + 2 - 7 + 3*q = 0.
0, 1
Let b be 15*(-2)/(-18)*3. Suppose -8 = -t + 3*t, 5*s = -t + 6. Factor s*i**2 + b*i - 2*i**2 + 4*i**2 - i.
4*i*(i + 1)
Suppose 13/4*j + 3 + 1/4*j**2 = 0. What is j?
-12, -1
Let y(b) = -46*b**3 + 18*b**2 + 220*b - 228. Let p(v) = -19*v**3 + 7*v**2 + 88*v - 91. Let n(a) = -12*p(a) + 5*y(a). Factor n(i).
-2*(i - 6)*(i - 1)*(i + 4)
Suppose -630 + 574 = -14*t. Let n(w) be the third derivative of -12*w**2 + 5/8*w**t + 0 - 7/60*w**5 + 0*w + 1/120*w**6 - 3/2*w**3. Factor n(r).
(r - 3)**2*(r - 1)
Let l(h) = 12*h**2 - 34*h. Let b(z) = z**2 - 2*z - 2. Let v(k) = 20*b(k) - 2*l(k). Factor v(q).
-4*(q - 5)*(q - 2)
Let f(d) = -2*d**3 + 8*d**2 - 14*d + 8. Let n(q) = -2*q**3 + q**2 + 6*q**2 + 9 - 14*q + 0. Let s(z) = 6*f(z) - 4*n(z). Determine p so that s(p) = 0.
1, 3
Let w be ((-34)/10 - -3)*(-2)/24. Let a(n) be the second derivative of -5*n + 0*n**2 + 0 + 0*n**3 - 1/36*n**4 - 1/90*n**6 - w*n**5. Factor a(p).
-p**2*(p + 1)**2/3
Suppose -12*y + 15*y = 57. Factor -10*d**3 - y*d + 12*d + 30*d**4 - 5*d**5 + 10 - 60*d**3 - 38*d + 80*d**2.
-5*(d - 2)*(d - 1)**4
Factor -1/3*g**2 - 5/6*g**4 + 0*g - 11/6*g**3 + 0.
-g**2*(g + 2)*(5*g + 1)/6
Let l(r) = -3*r**2 - 60*r + 75. Let m(h) = -6*h**2 - 121*h + 149. Let z(d) = -11*l(d) + 6*m(d). Find n such that z(n) = 0.
-23, 1
Let q(z) be the second derivative of -z**4/9 + 152*z**3/9 - 50*z**2 + 20*z + 3. Let q(c) = 0. Calculate c.
1, 75
Let i(f) = 5*f - 41. Let t be i(9). Suppose -5*o - t*j - 20 = 0, -2*j = -2*o + 3*o + 10. Factor 1/2*h**3 + o + 0*h - 1/2*h**2.
h**2*(h - 1)/2
Let i(y) be the third derivative of -1/30*y**4 + 0 + 1/15*y**3 + 0*y**5 + 1/150*y**6 - 1/525*y**7 + 0*y + 13*y**2. Determine n, given that i(n) = 0.
-1, 1
Determine w, given that 3/2 - 15/4*w**2 + 3/4*w - 3/4*w**3 + 9/4*w**4 = 0.
-1, -2/3, 1
Let b(r) = -r**3 + r**2 + 1. Let a(k) = 5*k**3 - 5*k**2 - 9. Let n(o) = -a(o) - 4*b(o). Let u be n(0). Factor u*q - 4*q**2 - q**3 - 2 + 2*q**3 + 0.
(q - 2)*(q - 1)**2
Factor 40*n**2 + 130*n**3 - 35*n**4 - 13018*n + 13018*n.
-5*n**2*(n - 4)*(7*n + 2)
Let t(i) = -3*i**2 + 9*i + 4. Let g be t(0). Let s(m) be the first derivative of -1/6*m**3 - 1/4*m**5 + 0*m**2 + 6 - 11/16*m**g + 0*m. Factor s(y).
-y**2*(y + 2)*(5*y + 1)/4
Let y(i) = i**3 + 2*i**2 - i + 1. Let p = -57 - -55. Let m be y(p). Solve 2/3*h**4 + 4*h**2 - 8/3*h + 2/3 - 8/3*h**m = 0.
1
Let s be (3 - (-497)/(-14))*4/(-6). Solve s*q**4 - 4/3 - 22/3*q**3 - 61/3*q**2 - 28/3*q + 50/3*q**5 = 0 for q.
-1, -1/2, -2/5, 1
Let a be (-9)/918*-24*10/4. Factor a*f - 8/17 - 2/17*f**2.
-2*(f - 4)*(f - 1)/17
Let p(m) be the first derivative of 0*m**5 - 2/7*m**4 + 0*m**3 + 1/21*m**6 + 0*m - 27 + 0*m**2. Factor p(k).
2*k**3*(k - 2)*(k + 2)/7
Let y(c) be the second derivative of 2*c**6/15 - 13*c**5/5 - 64*c + 2. Find j such that y(j) = 0.
0, 13
Let z(k) be the third derivative of 0*k + 0 + 3/4*k**3 - 7*k**2 + 3/20*k**5 - 1/140*k**7 + 0*k**6 + 1/2*k**4. Solve z(u) = 0 for u.
-1, 3
Let u(h) = -h**3 + 6*h**2 + 7*h + 2. Let p = 43 - 36. Let x be u(p). Let 0*a - 3*a**3 - a + 4*a**5 - 50*a**x + 5*a**4 + 45*a**2 = 0. What is a?
-1, -1/4, 0, 1
What is j in 9*j**4 + 5615*j**3 - 12*j**2 + 3*j**5 - 5615*j**3 = 0?
-2, 0, 1
Let n(i) be the second derivative of 15*i - 5/12*i**4 + 0 - 5/3*i**3 + 15/2*i**2. Factor n(c).
-5*(c - 1)*(c + 3)
Suppose 0 = -z + 3*o + 3, -2*z + 5*o + 5 = -0*o. Suppose -t + 4*t - 33 = z. Determine l so that 4 + 16*l + 4*l**2 - 3 + t = 0.
-3, -1
Let k(i) be the second derivative of i**6/80 - i**5/15 - i**4/12 - 5*i**3/3 - 13*i. Let z(d) be the second derivative of k(d). Factor z(t).
(t - 2)*(9*t + 2)/2
Factor -8/3*j**3 + 0*j**2 - 4*j**5 + 0*j + 0 - 20/3*j**4.
-4*j**3*(j + 1)*(3*j + 2)/3
Factor -9/7*k - 9/7 + 1/7*k**3 + 1/7*k**2.
(k - 3)*(k + 1)*(k + 3)/7
Let j = 145 - 117. Suppose j = 22*i - 8*i. What is f in 1/8*f**3 - 1/8 + 1/8*f**i - 1/8*f = 0?
-1, 1
Suppose -4*m + 22 = 4*u + 6, u - 3*m - 8 = 0. Let k(x) be the first derivative of 0*x + 0*x**2 + 0*x**3 + 1/20*x**u - 2 + 0*x**4. What is l in k(l) = 0?
0
Determine a, given that 4107/2 - 111*a + 3/2*a**2 = 0.
37
Let d(x) = 24*x - 91. Let h be d(4). Let l(m) be the second derivative of -1/8*m**4 + 0*m**2 + 0 - 3/40*m**h + 0*m**3 + 4*m. Factor l(u).
-3*u**2*(u + 1)/2
Let c(r) be the second derivative of r**4/12 + 4*r**3/3 + 6*r**2 - 11*r + 9. Factor c(s).
(s + 2)*(s + 6)
Let o(f) be the first derivative of f**6/360 + 7*f**5/600 + f**4/60 - 10*f**3/3 + 7. Let l(p) be the third derivative of o(p). Factor l(i).
(i + 1)*(5*i + 2)/5
Let q(g) be the first derivative of g**8/1008 + g**7/126 + g**6/45 + g**5/45 + 17*g**2 + 38. Let i(f) be the second derivative of q(f). Factor i(s).
s**2*(s + 1)*(s + 2)**2/3
Let g(i) = i**2 + i + 1. Let x(b) = -3*b**2 + 11*b + 46. Let w(q) = -2*g(q) - x(q). Suppose w(k) = 0. Calculate k.
-3, 16
Let v(o) = 15*o**2 - 49. Let l(g) = -5*g + 4. Let i be l(3). Let c = 549 + -547. Let x(w) = 3*w**2 - 10. Let y(b) = c*v(b) + i*x(b). Let y(t) = 0. What is t?
-2, 2
Let u(h) be the second derivative of h**7/168 - h**6/20 + h**5/8 - 11*h**3/24 + 3*h**2/4 + 36*h. Find v such that u(v) = 0.
-1, 1, 2, 3
Let w = 14039 - 14036. Find j such that -72/7*j - 4*j**4 - 4*j**2 - 16/7 + 90/7*j**w = 0.
-1/2, -2/7, 2
Suppose -51*m + 36*m = -60. Let o(q) be the first derivative of -m*q - 40/3*q**3 - 2 - 13*q**2. What is k in o(k) = 0?
-2/5, -1/4
Let z(s) be the second derivative of -9*s**5/40 - 11*s**4/16 - s**3/2 + 18*s**2 + s + 17. Let a(v) be the first derivative of z(v). Factor a(w).
-3*(w + 1)*(9*w + 2)/2
Let h(p) = 3*p**2 + 1. Let g(s) = s**3 + 3*s**2 + 4*s + 3. Let z be g(-2). Let j be h(z). Let -j*c + 2*c**2 - 3*c + 5*c = 0. Calculate c.
0, 1
Let l = -176 - -179. Let p(z) be the first derivative of 14/33*z**l - 4/11*z + 5/11*z**2 + 2. Find j such that p(j) = 0.
-1, 2/7
Suppose 3*a - 9 = -3