 + 0 + 3/5*m**4.
3*m**3*(m - 1)/5
Let r = -436 - -440. Let w(y) be the third derivative of 0*y - 4/15*y**3 + y**2 + 1/300*y**6 - 1/30*y**5 + 0 + 2/15*y**r. Factor w(q).
2*(q - 2)**2*(q - 1)/5
Suppose 25*f + 5/3*f**3 - 30*f**2 + 170/3 = 0. Calculate f.
-1, 2, 17
Let h be 221/260*-15 + 13. Factor 0 - 2*k**2 + k - h*k**4 + 5/4*k**3.
-k*(k - 2)**2*(k - 1)/4
Suppose 0 = -3*p - 5 - 7. Let b(t) = 7*t**2 - 3. Let a(j) = 20*j**2 - 9. Let d(q) = p*a(q) + 11*b(q). Factor d(i).
-3*(i - 1)*(i + 1)
Factor 2*z**2 + 4*z - 2*z + 128 - 132.
2*(z - 1)*(z + 2)
Determine n so that 246 + 15*n**2 + 26*n - 18*n**2 - 3*n - 58*n - 82*n = 0.
-41, 2
Factor -183*x - 5*x**2 - 380 + 88*x - 20*x.
-5*(x + 4)*(x + 19)
Let f be 0*(60/8)/15. Let g(q) be the third derivative of 0*q**3 + 0*q**5 + 0*q**4 - 1/540*q**6 - q**2 + f*q + 0. Factor g(j).
-2*j**3/9
Find u such that 0*u + 1/2*u**5 + 35/2*u**3 + 0 - 11/2*u**4 - 25/2*u**2 = 0.
0, 1, 5
Let z be (4/6)/(45/135). Find r such that -15/4*r**3 - 3/2*r - 21/4*r**z + 0 = 0.
-1, -2/5, 0
Find z such that 6/5*z**3 + 4/5*z + 1/5*z**4 + 9/5*z**2 + 0 = 0.
-4, -1, 0
Let w(a) be the third derivative of -2/315*a**5 + 42*a**2 + 0*a - 19/252*a**4 + 0 + 5/63*a**3. Factor w(p).
-2*(p + 5)*(4*p - 1)/21
Let i(b) be the first derivative of 11*b**6/3 - 92*b**5/5 + 15*b**4 + 80*b**3/3 - 41*b**2 + 12*b + 397. What is f in i(f) = 0?
-1, 2/11, 1, 3
Let f(j) be the third derivative of -3*j**8/280 + 2*j**7/35 + 3*j**6/100 - 19*j**5/25 + 9*j**4/5 - 8*j**3/5 + 130*j**2. Find t such that f(t) = 0.
-2, 1/3, 1, 2
Let l(o) = 71*o**3 - 20*o**2 - 45*o - 14. Let y(b) = b**3 + 1. Let p(m) = -l(m) - 4*y(m). Solve p(n) = 0.
-2/5, -1/3, 1
Let t be (-170)/(-60) - 5/6*-2. Suppose -15/4*r - 9/4 + t*r**3 + 3/4*r**4 + 3/2*r**2 - 3/4*r**5 = 0. What is r?
-1, 1, 3
Factor 1/6*h**2 + 1/6*h - 1.
(h - 2)*(h + 3)/6
Let -12*o + 45 + 43 - 72 - 4*o + 4*o**2 = 0. What is o?
2
Let c be ((-2)/(-6))/((-3)/(-180) - 0). Let o be (6/c)/((-20)/(-50)). Factor -o + l**2 - 1/4*l**4 + 1/2*l**3 - 1/2*l.
-(l - 3)*(l - 1)*(l + 1)**2/4
Let s = -13/2114 - -8521/10570. Factor s*v**2 + 8/5*v - 32/5.
4*(v - 2)*(v + 4)/5
Let v = 5678/45 - 1114/9. Find r such that -8/5*r + v*r**2 - 4/5 = 0.
-1/3, 1
Let r(v) = 2*v**3 + 8*v**2. Let o(k) = -2*k**3 - k**2. Let q(y) = -2*o(y) - r(y). Factor q(c).
2*c**2*(c - 3)
Let l(q) be the second derivative of 0*q**4 + 0*q**2 + 0*q**6 + 11*q - 3/25*q**5 + 0 + 1/70*q**7 + 0*q**3. Let l(i) = 0. What is i?
-2, 0, 2
Let f be 13 - 12 - -5*(-18)/120. Factor 0*g - 1 + 3/4*g**2 + f*g**3.
(g - 1)*(g + 2)**2/4
Let j(k) be the second derivative of 1/90*k**5 + 0 + 1/9*k**2 - 7*k + 7/54*k**3 + 7/108*k**4. Find b, given that j(b) = 0.
-2, -1, -1/2
Let r be ((-6)/3)/(-3 - -2). Let c be 49/49 - 1/(4/(-6)). Suppose -5/2*m**4 - 1/2 - 1/2*m**5 - c*m - 5*m**r - 5*m**3 = 0. Calculate m.
-1
Suppose 0 = 4*p - 2*p - 4. Let w be p*5/(-10) - -9. Factor 32*t**2 + w - 12*t**3 - 5*t - 23*t + 0*t.
-4*(t - 1)**2*(3*t - 2)
Let t(o) be the second derivative of o**7/504 + 5*o**6/72 + 25*o**5/24 + 11*o**4/12 - 5*o. Let h(a) be the third derivative of t(a). Let h(q) = 0. Calculate q.
-5
Let w be (-12)/392*(-8)/(-30). Let u = 239/735 - w. Find v, given that -u*v**5 + 0 + 0*v**2 + 0*v**3 + 0*v + 1/3*v**4 = 0.
0, 1
Let u(s) = -3*s**2 - 5*s + 8. Let z(a) = -a**2 - 2*a + 3. Let h(w) = w - 13. Let f be h(8). Let r = -6 + f. Let j(g) = r*z(g) + 4*u(g). Factor j(n).
-(n - 1)**2
Let n(j) be the first derivative of 1/4*j - 1/16*j**4 - 3/8*j**2 + 1/4*j**3 + 4. Factor n(f).
-(f - 1)**3/4
Let a = 80 - 83. Let k be 1/a + -1 + (-20)/(-12). Suppose 0 - 1/3*q + k*q**3 + 0*q**2 = 0. Calculate q.
-1, 0, 1
Let w = 2815 - 14071/5. Factor 2/5*l**4 + 2/5 - w*l**3 + 2/5*l + 2/5*l**5 - 4/5*l**2.
2*(l - 1)**2*(l + 1)**3/5
Let t(v) = 10*v**4 - 2*v**3 - v**2. Suppose 0*d = d - 2. Let k(r) = 3*r**4 - r**3. Let i(o) = d*t(o) - 7*k(o). Factor i(q).
-q**2*(q - 2)*(q - 1)
Let m(t) be the first derivative of t**5 + 185*t**4/4 + 655*t**3 + 4675*t**2/2 + 2890*t - 250. Let m(s) = 0. Calculate s.
-17, -2, -1
Let y(w) be the third derivative of -w**6/1800 - 2*w**3 - 19*w**2. Let v(i) be the first derivative of y(i). Factor v(z).
-z**2/5
Let t = -778/255 + 53/17. Let d(z) be the third derivative of 0 - t*z**6 + 1/15*z**5 + 5*z**2 + 0*z + 0*z**3 + 1/6*z**4. What is j in d(j) = 0?
-1/2, 0, 1
Let i(k) = 3*k**3 + k**2 - k + 1. Let c be i(1). Suppose 4*u - j = 3*u + 2, 0 = -3*u + c*j + 5. Factor u*n + 5*n**2 - 5*n**2 + 6*n**2 + 3*n**3.
3*n*(n + 1)**2
Let f(m) be the second derivative of -m**5/15 + 27*m**2/2 + 22*m. Let w(g) be the first derivative of f(g). Suppose w(x) = 0. Calculate x.
0
Let q be ((-5)/(-4))/(8/(-6) + 520/240). Find l, given that q*l - 1/4*l**4 + 0 - 1/2*l**3 + 5/4*l**2 = 0.
-3, -1, 0, 2
Let d(p) be the first derivative of 5*p**2 + 15*p**4 + 55/3*p**3 - 11 - 9*p**5 + 0*p. Suppose d(o) = 0. What is o?
-1/3, 0, 2
Suppose 5199*m - 5190*m = 27. Solve -14/5*p - 4/5*p**2 + 2/5*p**m - 8/5 = 0 for p.
-1, 4
Solve -36/17*g**2 + 2/17*g**5 + 0 - 16/17*g**4 + 42/17*g**3 + 0*g = 0.
0, 2, 3
Factor 624/5*z - 4056/5*z**2 - 32/5 + 8788/5*z**3.
4*(13*z - 2)**3/5
Let q be (-24)/(-14) + (-18)/(-63). Factor 4*w + 4*w - 2 + 0*w**2 + 6 + 4*w**q.
4*(w + 1)**2
Let l be (-15)/4*(-8)/3. Factor -14*f**3 + 3*f**3 + 6*f**3 + l*f - 2*f**2 - 3*f**2.
-5*f*(f - 1)*(f + 2)
Suppose 0 = -p + 2*p - 5*a - 3, 0 = -4*p + 4*a + 12. Solve -8*f**4 + 3*f + p*f**2 + 3*f**3 - f - 5*f + 5*f**4 = 0 for f.
-1, 0, 1
What is w in 816/7*w + 4/7*w**2 + 41616/7 = 0?
-102
Let u(a) be the second derivative of -a**5/60 + a**4/18 + a**3/6 - 2*a + 4. Factor u(q).
-q*(q - 3)*(q + 1)/3
Let s(z) be the third derivative of z**5/36 - 65*z**4/18 + 250*z**3/9 + 69*z**2 + 7. Find w, given that s(w) = 0.
2, 50
Let d(g) be the first derivative of -4*g**5/15 + g**4 + 35*g**3/9 + 4*g**2 + 5*g/3 + 5. Suppose d(b) = 0. What is b?
-1, -1/2, 5
Let q(u) = u**3 + 22*u**2 - 24*u - 19. Let f be q(-23). Let -33 - 2*b**4 - 3*b**f + 80*b + 8 + 198*b**2 + 40*b**3 - 288*b**2 = 0. Calculate b.
1, 5
Let u(p) = -p - 4. Let h be u(4). Let s(t) = -37*t**3 + 18*t**2. Let a = 30 + -27. Let l(q) = -12*q**3 + 6*q**2. Let o(d) = a*s(d) + h*l(d). Factor o(w).
-3*w**2*(5*w - 2)
Let o(i) be the first derivative of -i**3/36 + 10*i**2/3 - 400*i/3 - 237. Let o(b) = 0. What is b?
40
Factor 693/4*j - 12*j**2 + 1/4*j**3 - 1323/2.
(j - 21)**2*(j - 6)/4
Let m = 267/5 + -2191/40. Let u = 113/24 + m. Factor 4/3*z + 2*z**3 + 0 - 2/3*z**4 + u*z**2 - 2/3*z**5.
-2*z*(z - 2)*(z + 1)**3/3
Let y(o) be the third derivative of -o**9/10584 - o**8/2940 + o**6/630 + o**5/420 - 11*o**3/6 - o**2. Let j(r) be the first derivative of y(r). Factor j(f).
-2*f*(f - 1)*(f + 1)**3/7
Suppose -3*a + 4 = -4*m + 55, -3*m - 5*a = -60. Factor -25*s**4 + 668 - 5*s**5 - 668 - 35*s**3 - m*s**2.
-5*s**2*(s + 1)**2*(s + 3)
Let c(p) be the third derivative of 0*p + 1/12*p**5 + 25/24*p**4 + 27*p**2 - 1/24*p**6 + 0 + 5/2*p**3. Solve c(k) = 0 for k.
-1, 3
Let f(h) = -h**3 + 5*h**2 - 5*h + 6. Let z be f(4). Factor -12*d**3 + 5*d**4 - 5*d + z*d**3 + 5*d.
5*d**3*(d - 2)
Suppose -17*h - 14*h - 2*h = 0. Solve -8/3*p**2 - 8/9*p + h + 14/9*p**4 + 2*p**3 = 0.
-2, -2/7, 0, 1
Let d(o) be the third derivative of 22*o**2 + 1/132*o**4 + 0 + 1/330*o**5 - 2/33*o**3 + 0*o. Suppose d(l) = 0. What is l?
-2, 1
Solve 0 + 0*n + 2/7*n**2 = 0 for n.
0
Let n = -11 - -29. Let h be (-24)/n*(-9)/6. Factor -i - 5*i**3 - 3*i - 6*i**2 + i**4 + 14*i**h.
i*(i - 2)**2*(i - 1)
Suppose 7*b - 34 + 13 = 0. Let p(t) be the first derivative of -2*t + 1/4*t**4 - 11/2*t**2 + 7 - 4*t**b + 4/5*t**5. Let p(f) = 0. Calculate f.
-1, -1/4, 2
Suppose 37*i + 80*i - 555 = 30. Factor -75/2*w**3 - 1/6*w + 0 + i*w**2.
-w*(15*w - 1)**2/6
Let m(x) = -x**3 - 4*x**3 + 1 + 2*x**3. Let w be m(-1). Factor d**3 + 5*d + 3*d**2 + w*d**2 - 5*d**2 - 4*d.
d*(d + 1)**2
Let s(u) be the first derivative of 2*u**3/9 - 34*u**2/3 + 578*u/3 - 112. Suppose s(t) = 0. What is t?
17
Let d(a) be the second derivative of -a**4/3 - 8*a**3/3 - 8*a**2 + 46*a + 2. Let d(k) = 0. Calculate k.
-2
Let u(q) = 20*q**2 - 14*q - 824 - 4*q - 4*q**4 + 828 - 7*q**3. Let h(s) = 3*s**4 + 7*s**3 - 19*s**2 + 17*s - 4. Let c(y) = -5*h(y) - 4*u(y). Factor c(d).
(d - 4)*(d - 1)**3
Let r(i) be the third derivative of 25*i**8/84 + 9*i**7/14 - 11*i**6/6 - 23*i**5/12 + 5*i**4