 + 9*x**2 - 12*x + x**3 - 36 - 15*x + 15*x.
3*(x - 2)*(x + 2)*(x + 3)
Let p(v) be the first derivative of -4*v**3/3 - 224*v**2 - 12544*v + 172. Factor p(o).
-4*(o + 56)**2
Let d(x) be the second derivative of x**5/5 - 4*x**4/3 + 2*x**3 - 47*x + 5. Factor d(t).
4*t*(t - 3)*(t - 1)
Let u(z) be the first derivative of -z**5/20 - z**4/12 + 29*z - 1. Let k(t) be the first derivative of u(t). Find r such that k(r) = 0.
-1, 0
Let n(a) be the second derivative of -a**7/147 + 2*a**6/35 - a**5/14 - 3*a - 259. What is c in n(c) = 0?
0, 1, 5
Let p(k) = 863 - 858 - 12*k**3 + 2*k**2 + k**2 - 2*k. Let m(l) = l**3 - l**2 - l - 1. Let b(r) = 22*m(r) + 2*p(r). Solve b(y) = 0.
-6, -1
Let m be ((-19)/(-2))/((-2)/(-4)). Suppose 4*i = -2*j + 5 + 39, 3*i - m = -5*j. Solve -72*y**2 + 52*y - i - 52*y**3 + 68*y**4 + 12*y**4 + 5 = 0 for y.
-1, 1/4, 2/5, 1
Let p(i) be the third derivative of i**6/150 + 2*i**5/25 + 6*i**2 + 3*i. Factor p(q).
4*q**2*(q + 6)/5
Let z(g) be the third derivative of 0*g**4 + 5*g**2 + 0 + 10/3*g**3 + 0*g - 1/12*g**5. Factor z(h).
-5*(h - 2)*(h + 2)
Let b = 29 + -30. Let n = 1 + b. Factor -21/2*w**3 - 3/2*w + n + 15/2*w**2 + 9/2*w**4.
3*w*(w - 1)**2*(3*w - 1)/2
Find l, given that 3*l**2 + 2639*l + 9 - 2666*l + 15 = 0.
1, 8
Factor -p + 0 - 5/6*p**2 - 1/6*p**3.
-p*(p + 2)*(p + 3)/6
Let y(l) = 21 + 14 + 30*l**2 + 8*l - 59*l**2 - 14. Let b(a) = 188*a**2 - 52*a - 136. Let j(o) = 5*b(o) + 32*y(o). Find v such that j(v) = 0.
-2/3, 1
What is q in 13/4*q**2 + 15/4 - 1/4*q**3 + 29/4*q = 0?
-1, 15
Suppose 6391*s = 6379*s + 36. Suppose -145/2*x**2 - 17/4*x**4 + 325/4*x - 125/4 + 1/4*x**5 + 53/2*x**s = 0. What is x?
1, 5
Let u(a) = -4*a**2 - 40*a - 3. Let j(c) = 7*c**2 + 83*c + 5. Let p(x) = 3*j(x) + 5*u(x). Solve p(r) = 0.
-49, 0
Let b(d) be the first derivative of -d**6/36 - d**5/24 + 5*d**4/8 + 4*d**3/3 - 13. Let h(w) be the third derivative of b(w). Factor h(j).
-5*(j - 1)*(2*j + 3)
Let w = 2448 + -2446. Factor 0 - 8/5*i + 4/5*i**w.
4*i*(i - 2)/5
Suppose -3*p + 23 = -4*s, 3*p = -5*s + 2*p - 43. Let n be (-4 - s) + 3 - 2. Find h, given that n*h**5 + 0*h**5 - 6*h**4 - 2*h**5 = 0.
0, 2
Suppose d - 6*d - 964 = 4*h, -5 = 5*h. Let q be -3 + d/(-30) - 3/1. Find m, given that -2/5 + 7/5*m**5 - q*m**4 + 7/5*m + 4/5*m**2 - 14/5*m**3 = 0.
-1, 2/7, 1
Factor -2/5*v**2 + 0 + 20*v.
-2*v*(v - 50)/5
Let d(y) = y**2 - y. Let k(v) = -16*v**2 - 64*v + 80. Let w(h) = 12*d(h) + k(h). Factor w(q).
-4*(q - 1)*(q + 20)
Factor 0*t - 14/17*t**3 + 24/17*t**2 + 2/17*t**4 + 0.
2*t**2*(t - 4)*(t - 3)/17
Let r be (-12)/48 - 10/(-8). Let h(j) = j + 3. Let g be h(r). Factor 0*f**4 + 9*f**g - 8*f**4.
f**4
Suppose -10*y**2 - 17*y**2 + 35*y**2 + 0*y**3 + 22*y - 4*y**3 + 10*y = 0. What is y?
-2, 0, 4
Factor -3*q**4 + 3*q**4 + 3557763 + 0*q**4 - 396*q**3 + 17992*q - 449236*q + 19602*q**2 + 3*q**4.
3*(q - 33)**4
Let v(c) be the first derivative of c**4/78 - 10*c + 2. Let w(l) be the first derivative of v(l). Factor w(n).
2*n**2/13
Let k(v) be the first derivative of 5/4*v**4 + 0*v - v**5 + 0*v**2 - 8 + 5/3*v**3 - 5/6*v**6. Solve k(r) = 0 for r.
-1, 0, 1
Let l(n) be the first derivative of -n**4 + 16*n**3 - 22*n**2 + 24. Let l(z) = 0. What is z?
0, 1, 11
Suppose -5*r**3 + 18*r**3 - 10*r**3 + 93 - 183*r + 87*r**2 = 0. Calculate r.
-31, 1
Let m be (-2)/5 + (-1)/(40/(-16)). Let x(r) be the first derivative of 5/2*r**4 + 4 - 8/5*r**5 - 2/3*r**3 + m*r**2 + 0*r. Factor x(z).
-2*z**2*(z - 1)*(4*z - 1)
Let z(f) be the second derivative of -f**4/72 - 25*f**3/18 + 53*f**2/4 - 515*f. Factor z(d).
-(d - 3)*(d + 53)/6
Let n = -3060 + 3062. Factor -6 - 15/2*c - 3/2*c**n.
-3*(c + 1)*(c + 4)/2
Factor 16/7*h + 0 + 2/7*h**4 - 16/7*h**3 - 2/7*h**2.
2*h*(h - 8)*(h - 1)*(h + 1)/7
Let w(r) = r**2 - 8*r + 26. Let m be w(9). Factor c**2 + 35 - 13*c**2 - m + 8*c.
-4*c*(3*c - 2)
Let l(p) = 20*p**3 - 22*p + 86*p + 10 + 5 + 11*p + 70*p**2. Let f(w) = 10*w**3 + 35*w**2 + 37*w + 8. Let h(n) = -5*f(n) + 2*l(n). Suppose h(z) = 0. What is z?
-2, -1, -1/2
Let j(l) = 21*l**3 - 3*l**2 - 2 + 19*l - 5 + 6*l**2 - 23*l. Let h(g) = -10*g**3 - g**2 + 2*g + 3. Let b(n) = -13*h(n) - 6*j(n). Factor b(c).
(c - 1)**2*(4*c + 3)
Let b = -4 - -6. Let i(w) be the first derivative of 0*w - 1 + 0*w**b - 1/18*w**4 + 0*w**3. Factor i(y).
-2*y**3/9
Find l such that 0*l + 0 + 9/7*l**4 + 24/7*l**3 - 9/7*l**2 = 0.
-3, 0, 1/3
Factor -2/5*m**3 + 18/5*m**2 + 48/5 - 52/5*m.
-2*(m - 4)*(m - 3)*(m - 2)/5
Let h = 6 - -4. Suppose 0 = -5*w + 5 + h. Suppose 4*v**3 + 0*v**5 + 3*v**5 - 5*v**3 - 5*v**3 - w*v**4 = 0. What is v?
-1, 0, 2
Let k(y) be the third derivative of y**5/60 - 11*y**4/24 + 3*y**3 - 30*y**2. Solve k(d) = 0.
2, 9
Let r(t) be the second derivative of 1/9*t**3 + 0 + 13*t + 2/9*t**2 + 1/54*t**4. Factor r(a).
2*(a + 1)*(a + 2)/9
Factor 1/2*d**5 - 25*d**2 + 0 + 4*d**4 + 0*d + 5/2*d**3.
d**2*(d - 2)*(d + 5)**2/2
Suppose -g - 3*f = 13 + 2, -4*g - 5 = f. Factor -2/19*a**2 + g*a + 0 + 2/19*a**3.
2*a**2*(a - 1)/19
Let s(x) be the third derivative of x**8/2016 + x**7/210 + x**6/144 + 22*x**2 - 7. Let s(d) = 0. Calculate d.
-5, -1, 0
Factor 2/3*t**3 - 20 + 8/3*t**2 - 22/3*t.
2*(t - 3)*(t + 2)*(t + 5)/3
Let l(u) be the first derivative of -2*u**3/21 + 65*u**2/7 + 182. Factor l(k).
-2*k*(k - 65)/7
Let f(c) be the third derivative of c**8/1008 - c**7/630 - c**6/180 + c**5/90 + c**4/72 - c**3/18 + 21*c**2 - c. Factor f(v).
(v - 1)**3*(v + 1)**2/3
Let f(w) be the third derivative of -w**6/960 + w**5/30 + 35*w**4/192 + 3*w**3/8 - 134*w**2. Factor f(x).
-(x - 18)*(x + 1)**2/8
Find a such that -1836 - 8586*a + 917*a**4 + 1116*a**2 + 32*a**5 - 261*a**4 + 1976*a**3 + 6642*a = 0.
-17, -3/2, 1
Factor -2/13*v**4 + 0 + 10/13*v**3 + 72/13*v + 64/13*v**2.
-2*v*(v - 9)*(v + 2)**2/13
Let o(t) be the third derivative of -t**8/168 + 16*t**7/21 + 41*t**6/15 + t**5/15 - 163*t**4/12 - 82*t**3/3 + 274*t**2. Factor o(g).
-2*(g - 82)*(g - 1)*(g + 1)**3
Let n(r) be the third derivative of 31/315*r**7 + 0*r**3 + 5/168*r**8 + 0*r - 1/30*r**5 - 1/18*r**4 + 1/12*r**6 - 4*r**2 + 0. Find k such that n(k) = 0.
-1, -2/5, 0, 1/3
Find x such that 25 - 10*x**2 - 5*x - 73*x**3 + 15 + 68*x**3 + 25*x = 0.
-2, 2
Suppose 5*u - 8 = u. Suppose -3*p - 6 = -0*p, 0 = -u*y - 3*p. Determine c, given that 4 + 8 + y*c**3 + c**2 + 14*c**2 + 20*c + 4*c = 0.
-2, -1
Let l(h) be the third derivative of h**8/12 + 2*h**7/7 + 4*h**6/15 - 2*h**2 + 746. Solve l(p) = 0 for p.
-8/7, -1, 0
Let j(a) be the third derivative of a**8/60480 + a**7/5040 + a**6/1080 + 11*a**5/30 - 19*a**2. Let i(q) be the third derivative of j(q). Factor i(h).
(h + 1)*(h + 2)/3
Let s(w) be the second derivative of -7*w**9/2160 - w**8/240 - w**7/630 - 11*w**4/4 + 15*w. Let n(m) be the third derivative of s(m). What is l in n(l) = 0?
-2/7, 0
Factor 0 - 4*m + 1/4*m**2.
m*(m - 16)/4
Factor -15/7*p - 3/7*p**2 - 12/7.
-3*(p + 1)*(p + 4)/7
Let c(b) be the first derivative of b**3/6 + 7*b**2/4 + 199. Factor c(d).
d*(d + 7)/2
Let r(a) be the second derivative of 0 - 15*a + 15/4*a**4 + 10*a**2 - 1/6*a**6 + 1/4*a**5 + 55/6*a**3. Factor r(n).
-5*(n - 4)*(n + 1)**3
Let b = -522 + 62641/120. Let j(d) be the second derivative of -1/180*d**6 + 1/6*d**2 + 5/36*d**3 - 6*d - b*d**5 + 1/24*d**4 + 0. Factor j(k).
-(k - 2)*(k + 1)**3/6
Let y = 3812 - 3812. Factor y + 3/4*h**3 + 3/2*h**2 + 0*h.
3*h**2*(h + 2)/4
Suppose -18*b = -15*b - 27. Factor 7*m**3 + 6*m**3 - 5*m - m**3 + 2*m + b*m**2.
3*m*(m + 1)*(4*m - 1)
Let k(g) be the second derivative of g**4/3 - 6*g**3 + 28*g**2 - 499*g. Factor k(p).
4*(p - 7)*(p - 2)
Suppose -3*m - 9 = -6*m. Let x(n) = 3*n**3 - 5*n**2 + 2*n - 4. Let s(a) = -a**3 + a**2 + 1. Let v(q) = m*x(q) + 12*s(q). Determine r so that v(r) = 0.
-2, 0, 1
Let o(y) = -2*y**2 - 23*y - 43. Let r be o(-9). Let w(n) be the first derivative of -4*n**r - 5 + 4*n + 4/3*n**3. Determine t, given that w(t) = 0.
1
Let r(x) be the first derivative of 2*x**6/3 + 12*x**5 + 153*x**4/4 + 36*x**3 + 356. Suppose r(j) = 0. Calculate j.
-12, -3/2, 0
Let o(j) = -2*j**3. Let y(c) = -3*c**3. Let t = 28 + -19. Let v = t - 5. Let b(n) = v*y(n) - 5*o(n). Factor b(x).
-2*x**3
Suppose 0 = -9*k - 56 + 92. Let h(p) be the first derivative of 0*p + 4/5*p**5 + 5/4*p**k + 0*p**2 + 1/3*p**3 - 4. Solve h(n) = 0.
-1, -1/4, 0
Let -16/5 + 44/5*q**2 - 16*q = 0. What is q?
-2/11, 2
Factor 9