(r + 2)/11
Let q = -8 + 18. Suppose -q = -3*f - 4. Factor -2/5*n**3 - 16/5*n - 8/5 - 2*n**f.
-2*(n + 1)*(n + 2)**2/5
Let c(g) = g**2 + 6*g + 6. Let j(f) = -f**2 - 6*f - 7. Let h be 24/18*(-3)/(-1). Let r(k) = h*c(k) + 6*j(k). Factor r(d).
-2*(d + 3)**2
Let x = -8 - -11. Determine k, given that 2*k**3 + 129*k + 2*k**x - 145*k = 0.
-2, 0, 2
Let k(z) be the second derivative of 1/3*z**4 - 8/7*z**3 + 0 - 8/7*z**2 - 9*z. Factor k(y).
4*(y - 2)*(7*y + 2)/7
Factor 4/7 - 150/7*x**2 - 146/7*x.
-2*(x + 1)*(75*x - 2)/7
Let p(o) be the third derivative of o**8/15680 + o**7/1176 - o**4/4 - 43*o**2. Let i(d) be the second derivative of p(d). Determine z, given that i(z) = 0.
-5, 0
Find d, given that 3/4*d**5 + 0 + 0*d**2 + 0*d + 0*d**4 + 0*d**3 = 0.
0
Suppose -277*t**4 + 2016*t + 32*t**5 - 2564*t**2 - 293 - 83*t**4 - 283 + 1452*t**3 = 0. Calculate t.
3/4, 1, 3/2, 4
Let r(c) = 2*c**3 + 17*c**2 + 36*c + 39. Let q be r(-6). What is n in 8/9*n**2 + 2/3*n - 4/9*n**q - 8/9*n**4 + 0 - 2/9*n**5 = 0?
-3, -1, 0, 1
Let l(h) = 9*h + 9. Let w(k) = -k**2 + 14*k + 17. Let r(y) = 5*l(y) - 3*w(y). Find u, given that r(u) = 0.
-2, 1
Let y = 77 + -72. Suppose -3*k - 15 = -q, -2*q + k + y = -4*q. Factor 0*h**3 - 1/2*h**2 + q + 1/2*h**4 + 1/4*h**5 - 1/4*h.
h*(h - 1)*(h + 1)**3/4
Let j be 2/(-5)*(-6)/((-288)/(-30)). Let l(i) be the first derivative of -i**3 + 0*i**2 + j*i**4 + 4*i + 2. Factor l(f).
(f - 2)**2*(f + 1)
Determine b, given that 702*b - 1/2*b**4 - 729/2 - 26*b**3 - 311*b**2 = 0.
-27, 1
Find x such that -20 + 30*x - 3*x**2 - 9*x - 17 + 19 = 0.
1, 6
Let j(s) be the third derivative of 2*s**7/105 + s**6/10 - 2*s**5/3 - 4*s**4 + 3*s**2 - 44. Let j(n) = 0. Calculate n.
-4, -2, 0, 3
Let d(r) be the first derivative of -r**3/21 - 3*r**2/14 + 10*r/7 + 367. Let d(a) = 0. What is a?
-5, 2
What is h in 149 - 20*h**2 - 50 - 55 - 34*h**2 - 57*h - 54 = 0?
-5/6, -2/9
Factor 2/7*d**4 - 10/7 - 12/7*d + 12/7*d**3 + 8/7*d**2.
2*(d - 1)*(d + 1)**2*(d + 5)/7
Factor -189*n**3 + 382*n**3 - 196*n**3.
-3*n**3
Let y(g) be the first derivative of -12/25*g**5 - 9/5*g**2 - 4/5*g - 32/15*g**3 - 7/5*g**4 - 1/15*g**6 - 12. Factor y(u).
-2*(u + 1)**4*(u + 2)/5
Suppose 3*t + 2 = 4*t. Let z be (5 - 328/64)/(t/(-12)). Find o, given that 1/4 - 1/4*o**3 - 3/4*o + z*o**2 = 0.
1
Determine j, given that 12*j**3 + 182 - 182 + 10*j**4 + j**5 + j**5 = 0.
-3, -2, 0
Let k = -10361 - -10398. Factor 9/2*f**2 - k*f + 8.
(f - 8)*(9*f - 2)/2
Let t(x) = x**3 + 15*x**2 + x + 18. Let r be t(-15). Find s such that 0*s**2 - 2*s**2 + s + 10*s**3 + 2 + 4*s**r - 15*s**3 = 0.
-2, -1, 1
Factor 0 + 0*o - 2/13*o**3 + 2/13*o**2.
-2*o**2*(o - 1)/13
Let n(u) be the third derivative of -u**8/1176 + 2*u**7/147 + u**6/420 - u**5/21 + 2*u**2 - 8. Find o such that n(o) = 0.
-1, 0, 1, 10
Let t(j) be the first derivative of j**5/12 + 7*j**2/2 + 10. Let l(h) be the second derivative of t(h). Factor l(i).
5*i**2
Let l(q) = q**3 - q**2 - 2*q + 6. Let o be l(0). Let s(t) = -t**3 + 6*t**2 + 4. Let x be s(o). Factor 12*m**2 + 4*m**3 - 7*m**3 - m**3 - 4*m**x - 8 + 4*m.
-4*(m - 1)**2*(m + 1)*(m + 2)
Let z(w) be the third derivative of w**7/1260 + w**6/90 - 3*w**4/8 + 4*w**2. Let g(s) be the second derivative of z(s). Determine i, given that g(i) = 0.
-4, 0
Let v(u) be the second derivative of -u**4/6 + 4*u**3/3 - 6*u**2 + 3*u. Let w(q) = -1. Let z(t) = -v(t) + 6*w(t). Let z(l) = 0. Calculate l.
1, 3
Let h(g) = -g**2 - 19*g + 20. Let v be h(-20). Let 3*f + 7*f + 2*f + v*f**2 - 3*f**2 - 9 = 0. Calculate f.
1, 3
Let w be 7/(-2)*(-2 + 68/28). Let k = -1/6 - w. Factor -k*y - 4/3 - 1/3*y**2.
-(y + 2)**2/3
Let t be (-1 - 5/(-2))/((-3)/132). Let g = 202/3 + t. Factor -8/3*d - 16/9 - g*d**2 - 2/9*d**3.
-2*(d + 2)**3/9
Let p(b) be the second derivative of b**5/120 - b**4/8 + 2*b**3/9 + 638*b. Factor p(m).
m*(m - 8)*(m - 1)/6
Find m such that 8/5*m - 8/5 - 2/5*m**2 = 0.
2
Solve -24/5*t**2 + 2/5*t**4 - 8/5*t**3 + 0 + 0*t = 0 for t.
-2, 0, 6
Let b be 10/(-40) + 4886/(-8). Let j be 15/((-495)/6) + b/(-33). Solve -j*q**3 + 4/3 - 5*q**2 + 71/3*q**4 + 16/3*q - 7*q**5 = 0.
-1/3, -2/7, 1, 2
Let i(r) be the third derivative of -14*r**2 + 1/280*r**7 + 0*r**6 + 0 + 0*r**4 + 0*r - 1/10*r**5 + 2*r**3. Suppose i(w) = 0. What is w?
-2, 2
Let v(h) be the first derivative of h**6/15 + 16*h**5/25 + 9*h**4/5 + 32*h**3/15 + h**2 - 146. Factor v(g).
2*g*(g + 1)**3*(g + 5)/5
Let i(j) be the second derivative of j**4/12 - 19*j**3/3 + 37*j**2/2 + 4*j + 6. Determine q so that i(q) = 0.
1, 37
Let k(o) be the first derivative of 1/4*o**3 - 21/8*o**2 - 6 + 21/16*o**4 + 0*o - 3/20*o**5. Solve k(l) = 0 for l.
-1, 0, 1, 7
Let c(d) be the second derivative of d**7/840 + d**6/360 - 9*d**3/2 + 28*d. Let p(r) be the second derivative of c(r). Find a, given that p(a) = 0.
-1, 0
Let t(y) = y**5 - y**3 + y**2. Let i(c) = -4*c**4 - 2*c**3 + 17*c**2. Let z(k) = 2*i(k) + 2*t(k). Factor z(u).
2*u**2*(u - 3)**2*(u + 2)
Suppose 88*k**3 + 9 + 64*k**3 - 99*k**2 - 192*k - 167*k**3 - 117 = 0. What is k?
-18/5, -2, -1
Let u = 448 + -448. Let n(i) be the third derivative of 1/2*i**4 + 2/3*i**3 + 3/40*i**6 + u + 9*i**2 - 5/12*i**5 + 0*i. Factor n(h).
(h - 2)*(h - 1)*(9*h + 2)
Let u(s) be the second derivative of s**5/50 + 14*s**4/5 + 11*s**3 + 82*s**2/5 - 135*s + 1. Factor u(x).
2*(x + 1)**2*(x + 82)/5
Suppose -2*k + 3 + 5 = 0. Let f be (-66)/(-15) + 2/(-5). Let -8*m**k - 4*m**2 - m**5 + 0*m**3 + f*m**3 + 2*m - 5*m**5 + 12*m**2 = 0. What is m?
-1, -1/3, 0, 1
Let n(k) be the first derivative of k**4 - 136*k**3/3 + 578*k**2 + 182. What is s in n(s) = 0?
0, 17
Suppose f = 4*m - 71 + 61, -5*f + 30 = 0. Let 0*c - m*c**2 + 0 + 4/3*c**3 = 0. What is c?
0, 3
Let c(y) be the third derivative of y**6/1080 - y**5/60 + 5*y**4/72 - 7*y**3/6 + 6*y**2. Let i(m) be the first derivative of c(m). Let i(x) = 0. What is x?
1, 5
Suppose 6*n - 23 = 7. Let i(y) = 4*y**2 + 17*y + 4. Let j(k) = -4*k**2 - 17*k - 4. Let q(x) = n*j(x) + 4*i(x). Determine t, given that q(t) = 0.
-4, -1/4
Let k(s) = s + 11. Let o be k(-10). Let p be o/(1/(12/3)). Factor -2*l**3 - 14 + 14 + 2*l**p.
2*l**3*(l - 1)
Let w(z) be the first derivative of 4/9*z**3 - 22 + 1/60*z**5 + 1/6*z**4 + 0*z**2 + 0*z. Find y, given that w(y) = 0.
-4, 0
Let r(l) be the third derivative of l**9/40320 + l**8/6720 - l**7/420 + l**5/3 - 50*l**2. Let q(m) be the third derivative of r(m). Factor q(j).
3*j*(j - 2)*(j + 4)/2
Let f(a) be the third derivative of -a**5/15 - 5*a**4 - 54*a**3 + 64*a**2 - a. Find v such that f(v) = 0.
-27, -3
Let b(y) be the third derivative of y**10/453600 - y**9/60480 + y**7/3780 + 11*y**5/60 + 17*y**2. Let i(j) be the third derivative of b(j). Factor i(q).
q*(q - 2)**2*(q + 1)/3
Let p(j) = -76*j + 382. Let m be p(5). Let y(c) be the third derivative of -c**3 + 0*c - 1/40*c**6 + 2*c**m + 0 - 5/8*c**4 - 1/5*c**5. Solve y(s) = 0 for s.
-2, -1
Suppose -3*i + 10 = -i, -s - 4*i = -24. Suppose d + 0*d - s = 0. Factor 3*r + r**2 + 0*r**4 - 2*r - 2*r - r**d + r**3.
-r*(r - 1)**2*(r + 1)
Suppose 2 = -2*l, -4*o + 2*l = -2*l - 40. Suppose -11*a + 4 = -o*a. Let 26*b - 35*b**a - 38*b + 17*b = 0. Calculate b.
0, 1/7
Let g(s) be the second derivative of -1/2*s**2 - 1/60*s**6 + 1/12*s**3 - 8*s + 0 - 1/40*s**5 + 1/8*s**4. Factor g(y).
-(y - 1)**2*(y + 1)*(y + 2)/2
Let n = 19 - 14. Suppose -3*l + 2*l = -n. Solve 3*d**5 + 4*d**3 + 2*d**4 - 4*d**l - 5*d**2 - d**5 + 2 + d**2 - 2*d = 0 for d.
-1, 1
Let w(s) be the first derivative of -2*s**5/5 - 2*s**4 - 2*s**3 + 4*s**2 + 8*s + 65. Determine f, given that w(f) = 0.
-2, -1, 1
Let d(n) = -2*n**2 + 20*n + 4. Let p(b) = 3 + 0*b - 1 - 2 - 2*b. Suppose 0*z = -4*z + 2*j - 18, 2*j - 2 = -4*z. Let v(f) = z*d(f) - 22*p(f). Solve v(h) = 0.
-2, 1
Factor -1/4*m - 5 + 1/4*m**2.
(m - 5)*(m + 4)/4
Let k(z) be the third derivative of z**5/60 + 5*z**4/12 + 3*z**3/2 + 34*z**2. Factor k(m).
(m + 1)*(m + 9)
Factor -14/3*j**3 - 34/3*j - 1/3*j**4 - 12*j**2 - 11/3.
-(j + 1)**3*(j + 11)/3
Suppose 3*f - 25 = 2*g, 0 = g + 4*g + 25. Let d(b) be the first derivative of -1/5*b**3 + 0*b - f + 3/10*b**2. Determine p so that d(p) = 0.
0, 1
Let b(x) be the third derivative of -x**6/360 + x**5/12 + 2*x**4/9 - 116*x**2 + 2. What is l in b(l) = 0?
-1, 0, 16
Let s = 105 + -101. Suppose 69*p - 5*p**4 + 5*p**2 - 5*p**3 - 64*p + 0*p**s = 0. What is p?
-1, 0,