 + 4/3*p**2 + 0 + 8/3*p**4 + w*p = 0?
-2, -1, 0
Let w(m) be the second derivative of -m**4/54 + 17*m**3/9 - 98*m**2/9 - 5*m - 24. Factor w(y).
-2*(y - 49)*(y - 2)/9
Let j(l) = -l**2 - 3. Let y be (-32)/(-48) - -11*(-2)/6. Let q(x) = -2*x**2 - 4. Let c(d) = y*j(d) + 2*q(d). Factor c(f).
-(f - 1)*(f + 1)
Let k(p) be the third derivative of 0 - 25/2*p**4 - 6*p**2 + 0*p - 125/6*p**3 - 1/42*p**7 - 1/2*p**6 - 23/6*p**5. Factor k(l).
-5*(l + 1)**2*(l + 5)**2
Let a(m) be the third derivative of 5/21*m**8 + 73/24*m**6 - 3 + 5/2*m**3 + 12/7*m**7 + 4*m**2 + 0*m - 1/4*m**5 - 85/24*m**4. Let a(z) = 0. What is z?
-3, -1, 1/4
Let c(m) be the first derivative of 2*m**5/55 + 19*m**4/22 + 78*m**3/11 + 27*m**2 + 540*m/11 - 514. Solve c(f) = 0 for f.
-10, -3
Let l = 82 - 64. Find r, given that -2*r**5 - 2*r**3 + l*r - 9*r - 4*r**4 - 9*r = 0.
-1, 0
Let f = 336 + -3016/9. Solve 4/9*m**5 + 0*m**3 + 0 + 8/9*m**4 - 4/9*m - f*m**2 = 0 for m.
-1, 0, 1
Suppose 15*h - 20 = 55. Let j(l) be the first derivative of -1/7*l**2 + 0*l + 1/14*l**4 + 2/35*l**h + 9 - 2/21*l**3. Factor j(y).
2*y*(y - 1)*(y + 1)**2/7
Let l be 0*-2*3/(-18). Let r be ((-36)/(-120))/(12/10 - l). What is x in 1/4*x + r*x**2 - 1/2 = 0?
-2, 1
Let y(p) be the third derivative of -p**5/60 + 7*p**4/24 + 42*p**2 + p. Factor y(f).
-f*(f - 7)
Let s(v) = -32*v**3 - 235*v**2 - 283*v + 94. Let c(l) = 95*l**3 + 705*l**2 + 850*l - 280. Let o(f) = 3*c(f) + 10*s(f). Factor o(k).
-5*(k + 2)*(k + 5)*(7*k - 2)
Let r = 24 - 0. Let n(f) = -f - 1. Let t(g) = -g**2 - 7*g - 6. Let w(i) = r*n(i) - 3*t(i). Suppose w(m) = 0. Calculate m.
-1, 2
Let a(y) = 13*y**2 - 30*y + 55. Let g(c) = 11*c**2 - 26*c + 54. Let x(v) = 6*a(v) - 7*g(v). Factor x(b).
(b - 6)*(b + 8)
Let a(w) be the third derivative of -w**6/40 - 2*w**5/5 + 19*w**4/8 - 5*w**3 - 5*w**2 + 7*w. Let a(l) = 0. Calculate l.
-10, 1
Suppose 4*h = -2*w + 20, 0*w + 25 = 5*h - 3*w. Suppose -h*t + 2*o = -25, o + 5 = -0*o. Solve -l**4 + l**2 - 163*l**5 - l**t + 164*l**5 + 0*l**3 = 0.
-1, 0, 1
Let u(j) = -j + 41. Let n be u(41). Factor n*s**2 - 2/13*s**5 - 4/13*s**4 + 0*s**3 + 0 + 0*s.
-2*s**4*(s + 2)/13
Determine k so that -1557*k**2 - 468 + 26*k + 741*k**3 + 504*k + 253*k + 3*k**5 + 633*k - 135*k**4 = 0.
1, 2, 39
Let m(j) be the first derivative of -j**9/6048 + j**8/3360 + 14*j**3/3 - 14. Let q(x) be the third derivative of m(x). Suppose q(b) = 0. What is b?
0, 1
Let h be (-2)/6 - (-308)/168. Let p(f) be the second derivative of 0*f**4 + 5*f + h*f**2 - 3/2*f**3 + 0 + 3/5*f**5. Factor p(a).
3*(a + 1)*(2*a - 1)**2
Let i be (-13 - -16)/((-6)/8). Let r(j) = -j**2 + j + 1. Let x(t) = 4*t + 1 - 1 + 3. Let w(k) = i*r(k) + 4*x(k). Suppose w(o) = 0. Calculate o.
-2, -1
Let b(q) = -q**3 - 7*q**2 + 18*q. Let f be b(-9). Factor 2 - c**2 - c + 0*c**2 + f*c**2.
-(c - 1)*(c + 2)
Find g, given that 3/8*g**3 + 9/4*g**2 + 9/2*g + 3 = 0.
-2
Let n(b) be the third derivative of 5*b**8/1344 + b**7/21 + 5*b**6/24 + 5*b**5/24 - 35*b**4/32 - 15*b**3/4 + 49*b**2. What is k in n(k) = 0?
-3, -2, -1, 1
Let k(p) = -10*p + 78. Let g be k(8). Let d be ((1 - -2) + -3 + g)/(-4). Solve -d*z**2 - z + 3/2 = 0.
-3, 1
Let y = 31/6 - 361/70. Let c(u) be the third derivative of 0 + 0*u + 0*u**4 + y*u**7 + 1/30*u**6 + 0*u**3 - 1/168*u**8 + 4*u**2 + 0*u**5. Factor c(r).
-2*r**3*(r - 2)*(r + 1)
Let a(n) = -n + 7. Let r be a(5). Let o be ((-2)/(-5))/(r/20). What is z in -7*z - o*z**5 - 20*z**4 - 36*z**3 + 3*z - 28*z**2 + 2*z - 6*z = 0?
-2, -1, 0
Let n(m) be the first derivative of -3*m**5 - 35*m**4/4 + 35*m**3/3 + 15*m**2/2 + 499. Suppose n(r) = 0. What is r?
-3, -1/3, 0, 1
Let y(b) = b + 42. Let v be y(-37). Let q be v + 6/10 + (-69)/115. Factor 3/2*m**2 + 6*m**q - 21/2*m**4 + 0 + 3*m**3 + 0*m.
3*m**2*(m - 1)**2*(4*m + 1)/2
Let m be 18/15*((-904)/(-112) + -7). Factor -m*d + 0 + 3/7*d**2.
3*d*(d - 3)/7
Suppose -5*s - 7 = 5*y - 17, 0 = 5*y + 20. Let u be (-3 - -6)*8/s. Let 0*m**4 + 5*m**2 - m**2 - u*m**4 = 0. Calculate m.
-1, 0, 1
Let g(y) be the first derivative of -5*y**4/4 + 35*y**2/2 - 30*y - 12. Determine n, given that g(n) = 0.
-3, 1, 2
Let d(a) = -7*a - 21. Let o be d(-3). Suppose -p + 7*p = -o*p. Suppose 2/15*r - 2/15*r**2 + p = 0. What is r?
0, 1
Let f = -12 - -25. Let z be f + (16/2)/(-4). Determine w, given that z*w + 8*w**5 - 3*w**2 + 4*w**5 - 21*w**3 + 3 - 2*w = 0.
-1, -1/2, 1
Let q(r) be the third derivative of -2*r**2 - 3/20*r**5 - 1/210*r**7 + 0 + 0*r + 1/20*r**6 + 1/6*r**4 + 0*r**3. Factor q(d).
-d*(d - 4)*(d - 1)**2
Let s(u) be the first derivative of -u**4/12 + 85*u**3/9 - 308*u**2 + 588*u - 429. Determine j so that s(j) = 0.
1, 42
Let s be ((-5 - -3) + 88/20)/(14/5). Factor 3/7*r**5 - s*r**3 - 6/7 + 6/7*r**4 - 24/7*r**2 - 3*r.
3*(r - 2)*(r + 1)**4/7
Let u(i) = 8*i + 482. Let b be u(-60). Suppose -21 = -5*x - 6. Suppose 2/9*o + 2/9 - 2/9*o**b - 2/9*o**x = 0. What is o?
-1, 1
Let b(q) = -8*q**2 - 111*q + 136. Let h(x) = x**2 + 14*x - 17. Let o(g) = 6*b(g) + 51*h(g). Factor o(j).
3*(j - 1)*(j + 17)
Suppose -23 = -5*v + m, -v - 6*m + 10*m = -16. Let i(o) be the first derivative of -1/10*o**v - 4/5*o + 0*o**3 + 10 + 3/5*o**2. Let i(y) = 0. What is y?
-2, 1
Suppose -19*k + 27 = -11. Let n(i) = -i**3 + 5*i**2 + 2*i + 6. Let h be n(5). Solve h + 3*o**k - 2*o**2 + 4*o - 12*o = 0.
4
Let g be (56/(-12))/((-2)/3). Suppose -g*y = 4*y. Factor 0*r + 3/5*r**2 + 3/5*r**5 - 3/5*r**4 + y - 3/5*r**3.
3*r**2*(r - 1)**2*(r + 1)/5
Let h(r) = r**2 + 4*r + 4. Let o be (-3)/(6*(-2)/(-16)). Let c be h(o). Factor 5*w**3 + 2*w + 70*w**c + 49*w**5 + 3*w - w - 20*w**2 - 8*w**3.
w*(w + 1)**2*(7*w - 2)**2
Solve 30*q**2 - 53*q - 5*q**4 - 160 + 30*q - 25*q**3 + 183*q = 0 for q.
-4, 1, 2
Let f be 2 - ((7 - 2) + -3). Suppose 3*s - 4*s + 12 = f. Factor c**2 - 2*c - 22*c - s - 10*c**2.
-3*(c + 2)*(3*c + 2)
Let p be 28/84 - (-5)/3. Let 9*t**3 - 31*t**3 + 24*t**2 - 18*t**2 - 4*t - 24*t**p + 8*t**5 = 0. Calculate t.
-1, -1/2, 0, 2
Factor 0 + 8/7*z + 1/7*z**4 - 6/7*z**2 - 3/7*z**3.
z*(z - 4)*(z - 1)*(z + 2)/7
Let l(a) = 3*a + 40. Let n be l(-12). Suppose n*u + 3*o - 17 = 11, 4*u - 5*o = -4. Solve 0*b + 0 + 0*b**2 + 2/13*b**3 + 2/13*b**5 + 4/13*b**u = 0.
-1, 0
Let m(u) = 2*u**2 - u - 3. Let c(d) = 7*d**2 + 163*d + 6880. Let n(w) = -2*c(w) + 6*m(w). Determine q, given that n(q) = 0.
-83
Find m such that -8/3*m + 98/3*m**3 + 196/3*m**2 - 16/3 = 0.
-2, -2/7, 2/7
Let q(f) be the first derivative of 3*f**5/25 + 21*f**4/20 + f**3/5 - 81*f**2/10 + 54*f/5 + 161. Let q(l) = 0. What is l?
-6, -3, 1
Factor -25*y + 46*y - 3*y**5 - 18*y**3 - 15*y**4 + 6*y**2 + 9 + 12*y**4 - 12*y**4.
-3*(y - 1)*(y + 1)**3*(y + 3)
Suppose 5*n - 94 = -69. Suppose n*g - 8 = 7. Let -1/3 - 2/3*c**2 - 5/6*c - 1/6*c**g = 0. What is c?
-2, -1
Suppose -5*z = -2*b - 17, -3*z - z + 14 = -2*b. Factor 97*o**z - o**2 - 96*o**3 - o**2.
o**2*(o - 2)
Let z be 17/(55/10 - 5). Let q(f) = -52*f**3 - 119*f**2 + 80*f - 12. Let s(w) = 311*w**3 + 714*w**2 - 480*w + 72. Let y(l) = z*q(l) + 6*s(l). Factor y(x).
2*(x + 3)*(7*x - 2)**2
Suppose 0 = 3*j - 5*j + 10. Let i(u) = -u**3 - 26*u**2 - 22*u + 77. Let q be i(-25). Factor -2/5*b**4 + 4/5*b**q - 2/5 - 2/5*b + 4/5*b**3 - 2/5*b**j.
-2*(b - 1)**2*(b + 1)**3/5
Let o be 9 - 2628/288 - 50/(-16). Factor 0*u + 0 - 4/7*u**2 + 2/7*u**o.
2*u**2*(u - 2)/7
Let c(b) be the second derivative of b**6/10 + 3*b**5/5 + 5*b**4/4 + b**3 - 16*b - 2. Factor c(s).
3*s*(s + 1)**2*(s + 2)
Suppose b + 3*g = 51, -161 = -4*b - 4*g + 59. Find h such that 8*h**2 + b*h**2 - 6*h**3 + h**3 - 245 - 175*h = 0.
-1, 7
Let w(q) be the first derivative of 8*q**6/3 + 216*q**5/5 + 593*q**4/4 + 302*q**3/3 - 138*q**2 + 40*q + 4. Solve w(s) = 0.
-10, -2, 1/4
Let v(k) be the second derivative of 3*k**5/20 + 7*k**4/4 + 7*k**3 + 12*k**2 + 3*k - 18. Factor v(g).
3*(g + 1)*(g + 2)*(g + 4)
Let h(g) be the first derivative of -4/5*g**5 + 46 + 0*g - 2/9*g**6 + 0*g**2 - g**4 - 4/9*g**3. Factor h(t).
-4*t**2*(t + 1)**3/3
Find w such that 6*w**2 - 5*w**3 + 0*w**4 + 9*w**3 - 16*w**4 - 4*w**5 + 3*w**2 + 7*w**2 = 0.
-4, -1, 0, 1
Let j be (12/10)/((-28)/(-35)). Let t(s) be the first derivative of 3/5*s**5 + 9/4*s**4 + j*s**2 + 3*s**3 - 4 + 0*s. Factor t(k).
3*k*(k + 1)**3
Let x(j) be the second derivative of -j**7/105 + j**5/10 + j**4/6 + j**2 - 23*j. Let z(w) be the first derivative of x(w). Determine n so