*u**4 - 15*u**3 + 190*u**2 + 110*u**3 + m*u**3 - 100*u = 0.
-1, -2/7, 2/3, 2
Factor -4*u**2 - 2 + 56*u - 41*u + 2 - 3*u.
-4*u*(u - 3)
Let u be 3/((-2)/(2 + (-8 - -4))). Let i(r) be the second derivative of -1/10*r**2 - 1/15*r**u + 0 + 3*r - 1/60*r**4. Suppose i(d) = 0. Calculate d.
-1
Factor 3/8*t**4 - 177/8*t**2 - 3/8*t**3 - 81/4 - 333/8*t.
3*(t - 9)*(t + 1)**2*(t + 6)/8
Let r = -48 - -53. Let n(u) be the second derivative of -3*u + 0 + 0*u**2 + 1/45*u**r + 1/135*u**6 + 1/54*u**4 + 0*u**3. Factor n(x).
2*x**2*(x + 1)**2/9
Let q(n) be the first derivative of n**8/112 + 23*n**7/280 - n**6/12 + 9*n**3 + 28. Let t(j) be the third derivative of q(j). Factor t(y).
3*y**2*(y + 5)*(5*y - 2)
Let i(w) be the second derivative of -3*w**6/10 + 3*w**5/40 + 41*w**4/12 - w**3 - 10*w**2 + w + 92. Determine o so that i(o) = 0.
-2, -2/3, 5/6, 2
Let k(b) = 25*b - 97. Let i be k(4). Factor -2*o**4 - 1/2*o**5 - 1/2*o - 2*o**2 + 0 - 3*o**i.
-o*(o + 1)**4/2
Let l = -100/49 + 249/98. Find o such that 1/4 - 1/4*o + 1/2*o**3 - l*o**2 + 1/4*o**4 - 1/4*o**5 = 0.
-1, 1
Let t(z) = z + 7. Let l be t(-5). Let n = l - 5/3. Let -2/3*q**2 + 1/3*q**4 + n*q + 1/3*q**5 + 1/3 - 2/3*q**3 = 0. Calculate q.
-1, 1
Let n(k) be the third derivative of 3/14*k**3 + 32*k**2 + 1/28*k**4 - 1/1470*k**7 + 0 - 1/140*k**6 - 2/105*k**5 + 0*k. Factor n(a).
-(a - 1)*(a + 1)*(a + 3)**2/7
Let x(g) = -g**3 - 6*g**2 - 7*g - 7. Let m be x(-5). Solve 111*o**2 + 27*o**4 + 9 + 5*o + 55*o + m + 90*o**3 = 0 for o.
-1, -2/3
Let f(j) be the second derivative of 0*j**2 + 0*j**3 + 0 + 1/2*j**5 + 1/21*j**7 + 4/15*j**6 - 6*j + 1/3*j**4. Let f(w) = 0. Calculate w.
-2, -1, 0
Let o(d) be the first derivative of d**3/24 + 5*d**2/16 - 3*d/4 - 191. Let o(g) = 0. Calculate g.
-6, 1
Let r(d) be the second derivative of d**4/48 - d**3/8 - d + 55. Determine c so that r(c) = 0.
0, 3
Let s(c) = -c**2 - 2. Let r(i) = i**2 - 50*i - 621. Let n(k) = r(k) + 2*s(k). Let n(o) = 0. Calculate o.
-25
Let a be (-1 + 82/(-1))/(20/64). Let i = a + 266. Factor -i*w + 2/15 - 2/15*w**3 + 2/5*w**2.
-2*(w - 1)**3/15
Let j(c) be the first derivative of 0*c + 1/8*c**2 + 1/16*c**4 + 1/6*c**3 - 3. Find k such that j(k) = 0.
-1, 0
Suppose -5*p - 5*k = -25, -4*k = 38 - 50. Let 5/9*t**p + 2/9 + 7/9*t = 0. Calculate t.
-1, -2/5
Let m(z) be the second derivative of 0 + 6*z - 2/45*z**6 + 1/5*z**5 - 2/9*z**4 + 0*z**2 + 0*z**3. Solve m(n) = 0 for n.
0, 1, 2
Let q = 1073 - 1069. Let a(s) be the second derivative of 0 + 13*s + 1/5*s**2 - 2/15*s**q - 1/5*s**3. Let a(h) = 0. What is h?
-1, 1/4
Let a(o) be the second derivative of -2*o**7/27 - 44*o**6/135 - 8*o**5/15 - 10*o**4/27 - 2*o**3/27 - 3*o - 17. Factor a(j).
-4*j*(j + 1)**3*(7*j + 1)/9
Let l(h) = -h**4 + h**3 + h**2 - h. Let p = -1 + 0. Let t(b) = 2*b**4 - 2*b**3 - 2*b**2 + 2*b. Let k(g) = p*t(g) - 3*l(g). Factor k(v).
v*(v - 1)**2*(v + 1)
Let i(w) be the second derivative of -242*w**6/5 - 99*w**5/5 + 475*w**4/4 + 66*w**3 + 27*w**2/2 - 369*w. Determine j, given that i(j) = 0.
-1, -3/22, 1
Suppose 13*b - 11*b = -3*u + 7, 2*b = 4*u. Factor -28/5*f + 24/5 + 4/5*f**b.
4*(f - 6)*(f - 1)/5
Let u(q) be the first derivative of 2*q**5/45 + 125*q**4/18 + 7936*q**3/27 + 3844*q**2/9 + 517. Determine b, given that u(b) = 0.
-62, -1, 0
Let z(y) = 3*y - 11. Let h be z(5). Suppose 10 = h*d + 3*c, 3*c + 10 = -3*d + 4*d. Factor -6*g**3 - 6*g**2 + 2*g**4 - d*g**4 + 6*g - 8*g.
-2*g*(g + 1)**3
Let m(k) = 7*k**2 + 3 - 6*k**2 - 7 - 4*k + 7*k**2. Let t(v) = -v**2 + v + 1. Let r(q) = m(q) + 4*t(q). Let r(n) = 0. What is n?
0
Let 240*x - 2/7*x**4 - 126 - 80/7*x**3 - 716/7*x**2 = 0. Calculate x.
-21, 1
Let w = -28 + 31. Suppose 22 = 3*u - n - n, -3*n + w = 0. Factor 4 - 2*k**3 + 1 + 15 - 4 + u*k - 4*k**2.
-2*(k - 2)*(k + 2)**2
Find k, given that -28/3*k**2 - 22/3*k**3 - 4/3 - 1/3*k**5 - 17/3*k - 8/3*k**4 = 0.
-4, -1
Let z(c) = -c**3 - 3*c**2 - 6*c - 2. Let m(o) = -8*o**3 - 22*o**2 - 42*o - 16. Let y(v) = 6*m(v) - 44*z(v). Determine r, given that y(r) = 0.
-2, 1
Suppose 0 = -5*b + 5 + 5. Suppose j**3 - 65*j + 10*j**b + 33*j + 57*j = 0. Calculate j.
-5, 0
Let n be 3 + 6*(-2)/(-16). Let s = 743 + -740. Find t, given that 3*t - s - n*t**3 + 3/4*t**5 - 3/4*t**4 + 15/4*t**2 = 0.
-2, -1, 1, 2
Let c be 15/10*(-20)/6. Let v be (8/(-20))/(1/c). Determine q, given that q + v*q + q + 4*q - 4 - 4*q**2 = 0.
1
Suppose 0 = -2*j + 2, 5*v = v - 2*j + 10. Factor -v - 3*p + 2*p + 2*p + p**2.
(p - 1)*(p + 2)
Let l(g) be the third derivative of 2*g**7/35 - 7*g**6/10 - 31*g**5/20 - g**4 + 9*g**2 - 19*g. Let l(k) = 0. Calculate k.
-1/2, 0, 8
Let y(g) be the third derivative of g**5/180 + g**4/4 + 5*g**3/2 - 2*g**2 - 120. Factor y(p).
(p + 3)*(p + 15)/3
Let u(j) be the third derivative of 5*j**8/336 + j**7/21 - j**6/4 - 2*j**5/3 + 25*j**4/24 + 5*j**3 - 7*j**2 - 12. Suppose u(c) = 0. Calculate c.
-3, -1, 1, 2
Let m be (-1)/((4/14)/(216/(-189))). Let j(g) be the first derivative of 75/8*g**2 - 125/4*g + 1/16*g**m - 5/4*g**3 - 6. Solve j(v) = 0.
5
Suppose -3*z - 2*z + 50 = -5*r, -30 = -z + 5*r. Suppose z*p = -4*a + 478, 2*p + 3*a = p + 89. Factor 98 + 3*o - p + 3*o**2.
3*o*(o + 1)
Let b(u) be the first derivative of 9 + 1/45*u**5 + 0*u**2 - 1/36*u**4 + 1/54*u**6 - 1/27*u**3 + 0*u. Find d such that b(d) = 0.
-1, 0, 1
Let a(v) = -2*v**3 - 4*v**2 + v + 2. Let f be a(-5). Suppose -150*j = -f*j - 6. Factor 2/13*k**4 + 4/13*k**j + 0*k + 6/13*k**3 + 0.
2*k**2*(k + 1)*(k + 2)/13
Let c(j) be the second derivative of -j**5/80 - j**4/16 - j**3/8 + 3*j**2 + 12*j. Let t(d) be the first derivative of c(d). Find l, given that t(l) = 0.
-1
Let f(z) = z**2 - 5*z - 1. Let j be f(6). Suppose -5*x + j*t + 18 + 12 = 0, -4*t - 10 = 3*x. Factor 2*p + 4*p**2 + 9*p**4 - p**3 + x*p - 13*p**4 - 3*p**3.
-4*p*(p - 1)*(p + 1)**2
Let w(t) be the first derivative of -4/7*t**2 + 2/7*t**3 - 8/7*t - 3. Factor w(p).
2*(p - 2)*(3*p + 2)/7
Let d(m) be the first derivative of 0*m**3 + 6 + 3*m + 1/42*m**4 - 1/7*m**2. Let z(r) be the first derivative of d(r). Solve z(p) = 0.
-1, 1
Factor -21*t**3 + 36519*t**2 + 24*t + 0*t - 36597*t**2.
-3*t*(t + 4)*(7*t - 2)
Factor 8*j**3 - 129*j**4 + 126*j**4 - j**5 - 2*j**3 + 8*j**2.
-j**2*(j - 2)*(j + 1)*(j + 4)
Let u(l) be the second derivative of l**8/560 + l**7/56 + l**6/30 + 23*l**3/3 - 23*l. Let r(k) be the second derivative of u(k). Factor r(f).
3*f**2*(f + 1)*(f + 4)
Let d be (-80)/20 + -2 - 40/(-6). Let k(y) be the first derivative of d*y**2 - 1/3*y**4 + 2/15*y**5 - 2/9*y**3 + 0*y + 10. Factor k(p).
2*p*(p - 2)*(p - 1)*(p + 1)/3
Let s(w) = -w**3 - 13*w**2 - 4*w - 19. Let p be s(-13). Let l = -30 + p. Factor 11/4*i - 1/2 + 7/4*i**l - 4*i**2.
(i - 1)**2*(7*i - 2)/4
Let l = 2210 + -19886/9. Solve 2/9*z**2 + 2/9*z - l = 0.
-2, 1
Find w such that 5577*w**5 + 24936*w**3 + 5969*w**4 + 54 + 65 - 23 - 28979*w**4 - 761*w**2 - 1303*w**2 - 816*w = 0.
-2/11, 2/13, 2
Suppose 0 = -32*f + 31*f. Let x(i) be the third derivative of f + 5*i**2 + 0*i + 0*i**3 + 1/300*i**6 + 1/150*i**5 + 0*i**4. Find m, given that x(m) = 0.
-1, 0
Let w(s) be the third derivative of 0 - 4/3*s**3 - 1/20*s**6 - 11/30*s**5 - s**4 + 0*s - 19*s**2. Find p such that w(p) = 0.
-2, -1, -2/3
Let s = 404 - 401. Let k(i) be the first derivative of 4/9*i**5 - 1/9*i**2 + 2/9*i + 8/27*i**6 - 22/27*i**s - 7/18*i**4 + 6. Solve k(n) = 0 for n.
-1, -1/2, 1/4, 1
Let b(c) be the third derivative of c**6/24 + c**5/6 + 492*c**2. Find z such that b(z) = 0.
-2, 0
Let o = -24 + 19. Let c be 3 - (o - (-6)/3). Factor 3*f + 9*f**3 + 6*f**2 + f - 8*f + 2*f**5 - 7*f**3 - c*f**4.
2*f*(f - 2)*(f - 1)**2*(f + 1)
Let c(h) be the second derivative of -10*h - 2/5*h**2 - 1/30*h**4 + 0 - 1/5*h**3. Determine x, given that c(x) = 0.
-2, -1
Suppose -12*d + 7*d = 3*d. Let g(q) be the second derivative of 1/7*q**3 - 2/7*q**2 + d - 1/42*q**4 + q. Solve g(k) = 0 for k.
1, 2
Let q(w) be the second derivative of -w**4/15 + 124*w**3/15 - 1922*w**2/5 + 22*w - 2. Factor q(t).
-4*(t - 31)**2/5
Suppose -3*u = -o - 7, 0 = -4*u - o - o + 16. Let i be -5*u/((-12)/4). Determine g, given that i*g**2 + 3*g - 3*g - 1 - 4*g**2 = 0.
-1, 1
Let d be 7 + (-4 - -8) + -9. Let z(a) be the first derivative of -d - 1/4*a**4 - a**3 - a**2 + 0*a. What is c in z(c) = 0?
-2, -1, 0
Let m(s) be the second derivative of 2/3*s**2 + 40*s + 0 - 1/2*s**3 - 1/45*s*