. Factor m(a).
-3*(a + 4)*(2*a + 1)
Let m(y) be the first derivative of -37 - 3*y - 3/4*y**4 + 3/2*y**2 + y**3. Factor m(h).
-3*(h - 1)**2*(h + 1)
Let m(s) be the third derivative of 0 - s**2 - 1/330*s**5 + 0*s - 1/44*s**4 - 2/33*s**3. Find b, given that m(b) = 0.
-2, -1
Let t(c) = c**3 - c + 2. Let i(m) = -50*m**2 + 5*m - 10. Let q(y) = -i(y) - 5*t(y). Factor q(x).
-5*x**2*(x - 10)
Let d(h) be the first derivative of -3*h**3 - 1 - 12*h - 9*h**2 - 3/8*h**4. What is o in d(o) = 0?
-2
Factor 12*u**2 + 368*u - 599 + 848*u + 80 + 229 - 526.
4*(u + 102)*(3*u - 2)
Let b(w) be the third derivative of 2*w**6/135 + w**5/45 + w**4/72 - 5*w**3/6 + 5*w**2. Let p(f) be the first derivative of b(f). Determine u so that p(u) = 0.
-1/4
Factor -58 - 32 + 6 + 4*p**2 - 80*p.
4*(p - 21)*(p + 1)
Suppose 0 = -v + 2*v - 75. Suppose -2*b + 5*b = -v. Let q(d) = -20*d**3 + 20*d. Let t(r) = -5*r**3 + 5*r. Let m(n) = b*t(n) + 6*q(n). Let m(i) = 0. Calculate i.
-1, 0, 1
Let o(d) be the first derivative of d**6/2 - 36*d**5/5 + 15*d**4 + 2*d**3 - 63*d**2/2 + 30*d - 121. Suppose o(c) = 0. Calculate c.
-1, 1, 10
Let t(r) = -4*r - 38. Let d be t(-10). Find c such that 12*c**4 - 2*c**5 + 4*c**5 - d*c**5 - 4*c**5 = 0.
0, 3
Solve 32/11 - 32/11*j**3 + 32/11*j + 6/11*j**5 + 10/11*j**4 - 48/11*j**2 = 0 for j.
-2, -2/3, 1, 2
Factor -15/2*t - 7*t**2 + 0 + 1/2*t**3.
t*(t - 15)*(t + 1)/2
Let b(o) = 4*o**2 - 12*o**3 + 2*o**3 - 2*o**2. Let d(i) = 9*i**3 - 2*i**2. Let r(x) = 2*b(x) + 3*d(x). Determine m so that r(m) = 0.
0, 2/7
Let z be ((-1)/(-4))/(12/(634 + 14)). Solve 15*o**4 + 6*o**5 + 21/4*o**2 + 0 + 3/4*o + z*o**3 = 0 for o.
-1, -1/2, 0
Determine s so that -8 - 95/3*s + 4/3*s**3 - 92/3*s**2 = 0.
-1/2, 24
Let l(z) = 0*z**3 + 4*z**4 - 6*z**4 - z**2 - 2*z**3 + 4*z**4. Let d(r) = r**4 - r**3 - r. Let x(f) = -3*d(f) + 3*l(f). Let x(o) = 0. What is o?
-1, 0, 1
Let t(g) = 1208*g - 7244. Let y be t(6). Find a, given that -5/3*a**5 + 5/3*a**3 + 0 + 0*a**y + 0*a + 0*a**2 = 0.
-1, 0, 1
Suppose 2*x - 16 = -0*x. What is j in 6*j**3 - 10*j**2 - j - 17*j - 10*j**2 + x = 0?
-1, 1/3, 4
Suppose -3*l - 51 = 3*o - 8*o, 2*l = 2*o - 30. Let t be (-22)/l - 12/8. Suppose -1/3*i**3 + 1/3*i**2 + t*i - 1/3 = 0. What is i?
-1, 1
Solve 1/3*h**3 - 29/3*h**2 - 64/3 - 94/3*h = 0 for h.
-2, -1, 32
Factor 12*i**2 - 343*i**4 - 20*i**3 + 20*i - 2*i**2 + 348*i**4 - 15.
5*(i - 3)*(i - 1)**2*(i + 1)
Let g(q) = -9*q**3 + 115*q**2 - 183*q + 87. Let j(z) = -8*z**3 + 112*z**2 - 184*z + 88. Let b(p) = -4*g(p) + 5*j(p). Factor b(d).
-4*(d - 23)*(d - 1)**2
Suppose 3*a = -2*y + 202, -3*a - 13 + 201 = -5*y. Let w = -66 + a. Solve 0 + 2/5*o**2 + w*o + 2/5*o**3 = 0 for o.
-1, 0
Let r = 34 + -29. Let b(h) = h**3 - 4*h**2 - 3*h - 5. Let n be b(r). Determine s, given that 3*s - 12*s**2 - 12*s**4 + 18*s**3 - 4*s**5 - s**5 + 8*s**n = 0.
0, 1
Let m(o) = -o. Let k(x) be the first derivative of x**3/3 - x**2/2 + x + 7. Suppose 1 + 0 = w. Let v(j) = w*k(j) + m(j). Let v(g) = 0. Calculate g.
1
Determine u, given that 64*u**2 - 9 - 94*u**2 + 54*u**2 + 69*u = 0.
-3, 1/8
Let l(s) be the second derivative of -3*s**5/20 - 3*s**4/2 + 25*s**3/2 - 27*s**2 - 3*s + 5. Solve l(x) = 0 for x.
-9, 1, 2
Find r, given that -727 + r**5 + 2*r**5 - 4560*r**2 + 7728*r + 25*r**4 - 127*r**4 - 104*r**3 - 3977 + 1232*r**3 = 0.
2, 14
Let n(t) = t + 6. Let x be n(24). Let o be 8 + -4 + (-108)/x. Factor -2/5*i**2 - o - 4/5*i.
-2*(i + 1)**2/5
Let r be 124/(-3100)*(-5)/2*15/6. Find o, given that -3/4*o - 1/2 - r*o**2 = 0.
-2, -1
Let g be ((-12)/(-8))/((-3)/(-4)). Let n be (-2)/7*(-4)/(8/14). Factor 4*m**3 - 6 + 21*m**n + 2 + 12*m - 33*m**g.
4*(m - 1)**3
Let d(p) be the first derivative of 2*p**3/9 - 368*p**2/3 + 67712*p/3 + 737. Factor d(b).
2*(b - 184)**2/3
Let p(d) = 2*d - 10. Let f be p(5). What is i in 0*i**2 - i**2 + f*i**3 + 7*i - i**2 - 4 - i**3 = 0?
-4, 1
Let y be (0 + -4 + 2)/(4/(-6)). Find w such that -59*w**y + 2*w**4 + 3*w**2 - w**4 + 63*w**3 = 0.
-3, -1, 0
Let x = 98/5 - 1759/90. Let s(q) be the first derivative of x*q**6 + 1/4*q**4 + 1/5*q**5 + 1/9*q**3 + 0*q - 12 + 0*q**2. Find b such that s(b) = 0.
-1, 0
Let j(q) be the third derivative of q**5/150 - 7*q**4/20 + q**2 - 63*q. Suppose j(r) = 0. What is r?
0, 21
Let c(q) be the second derivative of 25*q**4/12 + 10*q**3/3 - 5*q**2/2 + 157*q. Find d such that c(d) = 0.
-1, 1/5
Solve -102*m - 2/3*m**3 + 144 + 20*m**2 = 0 for m.
3, 24
Let r(i) be the third derivative of -i**6/40 - i**5/4 + 3*i**4/4 + 27*i**2 - 2*i. Factor r(w).
-3*w*(w - 1)*(w + 6)
Let f(a) be the third derivative of a**10/1285200 - a**5/60 - 8*a**2. Let m(y) be the third derivative of f(y). Factor m(b).
2*b**4/17
Let m be 8/3 - 2/(-6). Suppose 21*x + 233 = 317. Determine j, given that 3/2*j**m + 0 - 2*j + 2*j**2 - 1/2*j**5 - j**x = 0.
-2, 0, 1
Factor 0 + 22*u**2 - 40*u + 4 + 44*u - 4*u**3 - 26*u**2.
-4*(u - 1)*(u + 1)**2
Let y(f) be the second derivative of -1/22*f**4 + 2*f - 1/110*f**5 + 0 - 1/11*f**3 - 1/11*f**2. Factor y(q).
-2*(q + 1)**3/11
Let x(l) = -3*l**3 - 322*l**2 + 658*l - 313. Let t(f) = -f**3 - 162*f**2 + 329*f - 158. Let o(r) = -5*t(r) + 2*x(r). Let o(m) = 0. Calculate m.
1, 164
Let f = 277 - 830/3. Let g(o) be the first derivative of 0*o + 7 - f*o**3 + o**2. Factor g(t).
-t*(t - 2)
Let b = -26 - -27. Let x be (2/b)/((-40)/(-10)). Factor -1/2 + 1/2*g**3 - x*g + 1/2*g**2.
(g - 1)*(g + 1)**2/2
Let k(f) be the second derivative of -1/12*f**3 + 1/4*f**2 + 1/96*f**4 + 4*f + 0. Solve k(x) = 0.
2
Let l(h) be the first derivative of -2/9*h**6 + 4/15*h**5 - 10 + h**4 + 0*h - 20/9*h**3 + 4/3*h**2. Factor l(x).
-4*x*(x - 1)**3*(x + 2)/3
Suppose 5*r - 5*n + 7*n - 14 = 0, -14 = -3*r - 2*n. Let k be 0 + (4/6 - 0). Factor r*f + 0 + 2/3*f**2 - k*f**3.
-2*f**2*(f - 1)/3
Let t(r) be the first derivative of -5/3*r**3 + 16 + 10*r + 5/2*r**2. Determine l so that t(l) = 0.
-1, 2
Suppose 0 = 2*k - 3*q - 18, 4*k + q - 28 = -k. Suppose 2*y = k - 0. Let -4 + 6*a**3 + 4*a**2 - 20*a - 2*a**y + 16 = 0. Calculate a.
-3, 1
Let j(w) be the third derivative of 0 + 0*w + 12*w**2 + 0*w**4 - 1/30*w**5 + 1/3*w**3. Suppose j(r) = 0. What is r?
-1, 1
Let u = 26/21 - -4/21. Suppose -t - 11 = 4*i + 23, -4*i = 3*t + 30. Determine o, given that -4/7 + 8/7*o**t - u*o + 6/7*o**3 = 0.
-2, -1/3, 1
Let q(j) be the first derivative of -6 - 1/9*j**3 + 1/90*j**5 - 8*j + 0*j**4 - 2/9*j**2. Let p(w) be the first derivative of q(w). Factor p(d).
2*(d - 2)*(d + 1)**2/9
Solve -6*k + 8*k**2 + 17*k**3 + 8*k**4 - k**5 + 16*k**2 + 0*k - 39*k**3 - 3*k = 0.
0, 1, 3
Factor 552960 - 5*d**3 - 1253*d**2 + 3915*d**2 - 1942*d**2 - 34560*d.
-5*(d - 48)**3
Let r(z) = -19*z**4 - 5*z**3 - 7*z**2 - 7*z - 7. Let g(u) = 13*u**4 + 3*u**3 + 5*u**2 + 5*u + 5. Let y(b) = 7*g(b) + 5*r(b). Let y(d) = 0. Calculate d.
-1, 0
Let m(w) = -3*w**3 + w**2 + w + 1. Let o be m(-1). Let u be o/3 - 133/(-294)*-2. Solve 0 + 3/7*j**2 + u*j = 0.
-1, 0
Let r(y) = y - 83*y**4 + 87*y**4 + 1 + 3*y**2 + 6*y**3 - 2. Suppose -k = 1 - 0. Let v(z) = z**4 + z - 1. Let w(h) = k*r(h) + v(h). Find p, given that w(p) = 0.
-1, 0
Let n = -18409/7 - -2630. Determine g, given that -2/7*g**2 + n*g**3 + 0 + 1/7*g = 0.
0, 1
Let x(a) be the first derivative of -a**4/12 - 4*a**3 - 72*a**2 - 576*a + 64. Factor x(l).
-(l + 12)**3/3
Let n(u) be the third derivative of -u**9/756 + u**8/240 + 4*u**7/315 - u**6/45 - 2*u**4/3 + 14*u**2. Let i(b) be the second derivative of n(b). Factor i(c).
-4*c*(c - 2)*(c + 1)*(5*c - 2)
Let j = 1942/9 - 216. Let d = 0 - j. Find f such that 10/9*f**3 + 0 + 4/9*f**2 - 4/3*f**4 - d*f = 0.
-1/2, 0, 1/3, 1
Determine j, given that -1513 + j**5 + 33*j**4 + 362*j**2 - 7*j**4 - 23 + 237*j**3 - 87*j + 462*j**2 + 535*j = 0.
-8, -3, 1
Let m(y) be the second derivative of 1/12*y**4 + 18*y + 0 - 2/3*y**3 + 3/2*y**2. Factor m(x).
(x - 3)*(x - 1)
Suppose 3/2*b**2 + 45 + 33/2*b = 0. Calculate b.
-6, -5
Find w, given that 2*w**3 + 16*w**4 - 2*w - 4*w**4 - 11*w**4 - 1 = 0.
-1, 1
Let q(u) = 5*u**2 - 3*u - 8. Let b(p) be the first derivative of -11*p**3/3 + 7*p**2/2 + 17*p + 2. Let m(k) = 6*b(k) + 13*q(k). Find w such that m(w) = 0.
1, 2
Let p = 199265/13 - 15327. Suppose p*t + 0 + 2/13*t**2 = 0. What is t?
-7, 0
Let n(z) be the first derivative of z**4/30 + 2*z**3/15 + 10*z + 7. Let t(u) be the first derivative of n(u). Determine h s