1/120*f**6 - 16*f**2 - 1/15*f**5. Factor j(m).
-m*(m + 2)**2
Factor -20*h**3 - 49 - 63 - 252*h**2 + 3201*h - 2817*h.
-4*(h - 1)*(h + 14)*(5*h - 2)
Let j be -18*(3 - 9/2). Suppose -x - 2*i - 7 = 0, -2*i + 2 = -5*x + j. Factor 13 - 28 + 13 - x*q - q**2.
-(q + 1)*(q + 2)
Let g(l) be the third derivative of 2/45*l**5 + 0*l**6 - 2/945*l**7 + 3*l**2 + 2/9*l**3 - 4/27*l**4 + 0 + 0*l. Factor g(y).
-4*(y - 1)**3*(y + 3)/9
Let w(r) = 10*r**3 + 145*r**2 - 755*r - 2880. Let z(t) = -t**3 - 16*t**2 + 84*t + 320. Let g(c) = -4*w(c) - 35*z(c). What is s in g(s) = 0?
-4, 4
Let t be 7/14*4*2. Find s such that t*s**2 - 10 - 4*s**2 - 5*s**2 + 22*s - 7*s = 0.
1, 2
Factor -2/5*w**4 + 16/5*w**2 + 0 - 2/5*w**3 + 24/5*w.
-2*w*(w - 3)*(w + 2)**2/5
Factor -24 + 1/3*w**2 - 7*w.
(w - 24)*(w + 3)/3
Let l(p) be the third derivative of p**7/30 + 13*p**6/40 + 19*p**5/15 + 5*p**4/2 + 8*p**3/3 + 3*p**2 + 19*p. Solve l(v) = 0 for v.
-2, -1, -4/7
Let y(g) be the second derivative of 44*g + 0 - 2*g**2 - 4/3*g**3 + 2/5*g**5 + 1/3*g**4. Factor y(f).
4*(f - 1)*(f + 1)*(2*f + 1)
Let d be 6/36*(-72)/(-66). Determine r so that -d*r**3 - 8/11*r**2 - 10/11*r - 4/11 = 0.
-2, -1
Suppose -7*x = -4*x - 12. Suppose -2*p + 17 = -11. Find m such that 75*m**3 - 29*m**3 + 27*m + p*m**x - m + 54*m**2 + 4 = 0.
-1, -2/7
Let c(w) be the second derivative of -w**4/4 + 4*w**3 - 18*w**2 + 432*w. Factor c(u).
-3*(u - 6)*(u - 2)
Factor 14/9*m**3 + 8/9*m**4 - 2/9*m + 4/9*m**2 + 0.
2*m*(m + 1)**2*(4*m - 1)/9
Let i = 133 - 129. Let a = 7 - 3. Factor 3*h**3 + 2*h**3 + 4*h**i + 0*h**a - h**3.
4*h**3*(h + 1)
Suppose -i - 15*i = -6*i. Let v(a) be the second derivative of 8/7*a**2 + 1/21*a**4 - 1/105*a**6 - a - 4/7*a**3 + 3/70*a**5 + i. Suppose v(p) = 0. Calculate p.
-2, 1, 2
Let g(x) be the third derivative of -x**6/420 - x**5/21 - 4*x**4/21 + 30*x**2 + 3. Determine q so that g(q) = 0.
-8, -2, 0
Let b be 8/(-1*(-1)/2). Suppose 4*j + 3*f + 4 = 0, 2*j = -4*f - f - b. Factor -2*m**3 + 6 - 1 - 10*m**j + 16 - 3 - 6*m.
-2*(m - 1)*(m + 3)**2
Let u be 3/(-6) - (-52)/8. Let j = 9 - u. Factor -2*s - 6*s - s**j + 9*s.
-s*(s - 1)*(s + 1)
Suppose -2*q - 8 = -3*q. Let r be (-1)/2 + 36/q. Find i such that 2*i**2 - 3*i**3 - 3*i**4 - i**r - 6*i**4 - 2*i**4 - 7*i**5 = 0.
-1, 0, 2/7
Let l = 31 - 28. Factor -2 - l + 6 + 4*k**2 - 2*k - 3*k**2.
(k - 1)**2
Let g(q) be the first derivative of q**6/216 + q**5/24 + 5*q**4/36 + 23*q**3/3 - 30. Let b(j) be the third derivative of g(j). Solve b(t) = 0 for t.
-2, -1
Let v be (-522)/(-264) - (-24)/88. Factor v*a + 15/4*a**3 + 21/4*a**2 + 0 + 3/4*a**4.
3*a*(a + 1)**2*(a + 3)/4
Let b = 201 + -199. Let p(i) be the second derivative of -1/40*i**5 + 1/6*i**3 - 1/120*i**6 + 1/16*i**4 + 0 - 1/2*i**b - i. Factor p(c).
-(c - 1)**2*(c + 2)**2/4
Let v(t) be the second derivative of t**5/10 + 2*t**4 - t**3/3 - 12*t**2 - 219*t. Factor v(r).
2*(r - 1)*(r + 1)*(r + 12)
Let u be (10 - 150/15)/(-1). Let u - 1/3*q**3 + 0*q - 1/3*q**2 = 0. What is q?
-1, 0
Find p such that 16/11*p**2 + 2/11*p**3 + 0 - 18/11*p = 0.
-9, 0, 1
Let h(m) be the third derivative of m**9/4536 - m**8/2520 - m**7/1260 + m**6/540 - m**3/3 + 12*m**2. Let q(j) be the first derivative of h(j). Factor q(l).
2*l**2*(l - 1)**2*(l + 1)/3
Let s(x) = -1 + x - 1 - 2 + 5. Let r(v) = -2*v**2 + 2*v + 14. Let y(o) = -2*r(o) + 28*s(o). Factor y(p).
4*p*(p + 6)
Let b(q) be the first derivative of 2*q**5/15 - 3*q**4/2 + 40*q**3/9 - 4*q**2 + 183. Suppose b(o) = 0. What is o?
0, 1, 2, 6
Let d be 8/18*12/10. Let z = d - -2/15. Factor -10/9*q**2 + 4/9 - z*q.
-2*(q + 1)*(5*q - 2)/9
Suppose 9*p - 6*p = 48. Determine y, given that p - 16*y + 82*y**2 - 4*y - 78*y**2 = 0.
1, 4
Let r(k) = 2*k**2 - 2*k**3 + k**3 - k**2. Let x be (2/14 - (-66)/77)*-4. Let l(d) = 10*d**3 - 7*d**2 + d. Let q(m) = x*l(m) - 36*r(m). Factor q(n).
-4*n*(n + 1)**2
Let q(g) be the first derivative of 0*g + 2/65*g**5 + 38 + 2/13*g**2 - 1/13*g**4 - 2/39*g**3. Factor q(d).
2*d*(d - 2)*(d - 1)*(d + 1)/13
Factor 21/5 - 7/5*d**2 - 146/5*d.
-(d + 21)*(7*d - 1)/5
Let o(r) = 4*r**2 - 32*r - 62. Let w(d) = 7*d**2 - 63*d - 127. Let t(j) = 11*o(j) - 6*w(j). Let t(a) = 0. Calculate a.
-8, -5
Let l(i) be the third derivative of 0 + 0*i + 1/2*i**3 + 3*i**2 + 0*i**5 + 0*i**4 - 1/360*i**6. Let q(z) be the first derivative of l(z). Factor q(n).
-n**2
Let x = -1481/4 + 366. Let t = 263/60 + x. Factor -4/15*k**2 + 2/15 - t*k.
-2*(k + 1)*(2*k - 1)/15
Let x = -4 + 8. Suppose 35 = 5*d + 5*v, x*d - 3*v - 2 = 5. What is a in 2 + 14*a**4 + 12*a**d - 4*a**2 - 24*a**4 = 0?
-1, 1
Let t = 66 + -62. Determine j so that -120*j - t - 81*j**2 - 27 - 16 - 15*j**3 + 11 = 0.
-3, -2, -2/5
Let n(f) be the first derivative of -f**5/210 + f**4/42 - f**3/21 - 5*f**2/2 + 14. Let m(r) be the second derivative of n(r). Factor m(w).
-2*(w - 1)**2/7
Let u(n) be the second derivative of 3*n**5/16 + 263*n**4/16 - 53*n**3/4 - 500*n. Solve u(x) = 0 for x.
-53, 0, 2/5
Let m be 0/(-4) + -7 + 7. Let -g + 2*g + m*g - 11*g - 5*g**2 = 0. What is g?
-2, 0
Suppose p = 4*t - 188, 233 = 4*t - 2*p + 45. Let b = -43 + t. Factor 0 + 0*h**2 + 4/7*h**3 - 2/7*h + 0*h**b - 2/7*h**5.
-2*h*(h - 1)**2*(h + 1)**2/7
Let j = 24036 - 24036. Factor 0 + j*c - 1/6*c**2.
-c**2/6
Suppose 0 = -m + 6*q - 9*q - 11, 17 = 3*m - q. Let s(u) be the second derivative of 0 - 7/30*u**m - 3*u - 1/5*u**2 - 3/50*u**5 - 1/3*u**3. Factor s(c).
-2*(c + 1)**2*(3*c + 1)/5
Let z(h) be the second derivative of 0*h**2 + 3/20*h**5 - 1/4*h**4 + 0 + 10*h + 0*h**3. Factor z(d).
3*d**2*(d - 1)
Suppose 16 = -11*m + 13*m - 2*n, n = -3. Let o(x) be the first derivative of -x**m - 15/4*x**4 - 10/3*x**3 + 0*x - 8 + 0*x**2. Factor o(p).
-5*p**2*(p + 1)*(p + 2)
Let c(f) = f**3 + 35*f**2 + 36*f - 13. Let m be c(-34). Let a = m + 163/2. Suppose -2*d**3 - 3*d**2 - 2*d - a - 1/2*d**4 = 0. Calculate d.
-1
Let r(o) = o**2 - 8*o - 6. Let s be r(9). Suppose 5*d = -2*h + 15, -h + 6 = -s*d - 18. Factor h + 4*c**3 - 15 - 4*c.
4*c*(c - 1)*(c + 1)
Let j be 0/(6 + (-18 - -4)). Let s(d) be the first derivative of 20*d**2 + 45/2*d**4 + 7*d**5 + 5/6*d**6 + 9 + 100/3*d**3 + j*d. Determine w so that s(w) = 0.
-2, -1, 0
Find k such that 32*k**3 - 54*k**3 + 27*k**3 = 0.
0
Let s be ((-132)/48)/11*(1 - 9). Let r(h) be the second derivative of 0*h**4 + 0 + 1/10*h**5 - h**3 + s*h**2 + h. Suppose r(z) = 0. What is z?
-2, 1
Let q(x) be the third derivative of -x**6/240 - 7*x**5/120 - 7*x**4/24 - 2*x**3/3 + 3*x**2 - 6*x. Determine g, given that q(g) = 0.
-4, -2, -1
Suppose -6*n + 10 = -n. Determine u so that -18 + 15*u + 82*u**2 - 157*u**n + 72*u**2 = 0.
2, 3
Let s(r) be the second derivative of -r**7/98 - r**6/2 - 69*r**5/10 - 127*r**4/14 + 323*r**3/14 + 867*r**2/14 + 3*r + 48. Determine n, given that s(n) = 0.
-17, -1, 1
Factor -28/3*c - 12*c**2 - 20/3*c**3 - 4/3*c**4 - 8/3.
-4*(c + 1)**3*(c + 2)/3
Let v = -1190 - -1192. Let u(t) be the third derivative of 1/14*t**4 - 1/35*t**5 + 0 + 0*t**3 + 0*t + 8*t**v + 1/280*t**6. Factor u(o).
3*o*(o - 2)**2/7
Suppose -n + 2 = 4*f, f - 2*f = -5*n + 10. Factor -20*b**3 + 38*b**3 + 4*b**4 - 26*b**3 + 4*b**n.
4*b**2*(b - 1)**2
Suppose -25 = 4*b + 27. Let o(f) = -9 + 21*f + 7*f**2 - 10*f**2 - 9*f. Let c(l) = -7*l**2 + 25*l - 18. Let y(m) = b*o(m) + 6*c(m). Factor y(x).
-3*(x - 1)*(x + 3)
Let v(b) be the second derivative of 5*b**7/42 + b**6 - 13*b**5/2 + 5*b**4 + 125*b**3/6 - 45*b**2 - 57*b - 2. Determine d, given that v(d) = 0.
-9, -1, 1, 2
Let p(a) be the first derivative of -23*a**3/4 - 75*a**2/8 - 3*a/2 + 788. Find t, given that p(t) = 0.
-1, -2/23
Let h = 26 + -21. Suppose 4*j + 2 = 14, h*a - 3*j - 36 = 0. Suppose -6*f**4 + 3*f + 3 - a*f**2 - f**3 + 3*f**3 - 17*f**3 = 0. What is f?
-1, 1/2
Suppose -7821*g = -7839*g + 36. Factor -3/4*w**g + 9/4 + 3/2*w.
-3*(w - 3)*(w + 1)/4
Let a(o) = -2*o**2 + 2*o. Let w(z) = 7*z**2 - 23*z. Let v(x) = 3*a(x) + w(x). Factor v(b).
b*(b - 17)
Let d = -8 - -21. Suppose 5*t - d + 3 = 0. Factor 3*n - 1 + n**2 + 2*n**2 - n - 4*n**t.
-(n - 1)**2
Let n = -230 - -241. Let r(x) be the second derivative of 0*x**3 - n*x + 1/18*x**4 + 0 - 1/3*x**2. Factor r(y).
2*(y - 1)*(y + 1)/3
Let j = 193/1452 - 6/121. Let v(o) be the second derivative of 3*o + 0*o**2 + 0 + j*o**4 + 1/6*o**3. Let v(t) = 0. What is t?
-1, 0
Suppose -227 - 360*g**2 + 561 - 5*g**4 + 350*g - 198 + 