- 6)*(h - 2)*(h + 1)
Suppose 0 = 3*y + 9, 1260*u = 1259*u + 4*y + 15. Factor -2/7 - 12/7*c**2 - 5/7*c**u - 9/7*c.
-(c + 1)**2*(5*c + 2)/7
Let q = -1011 - -33365/33. Let r(i) be the first derivative of -8/11*i + 6 + q*i**3 + 0*i**2. Factor r(n).
2*(n - 2)*(n + 2)/11
Let k(p) be the first derivative of -p**6/21 - 18*p**5/35 - 13*p**4/7 - 68*p**3/21 - 3*p**2 - 10*p/7 + 57. Factor k(i).
-2*(i + 1)**4*(i + 5)/7
Find a, given that -1/2*a**2 + 7/2*a**5 + 0*a + 11/4*a**4 - 5/4*a**3 + 0 = 0.
-1, -2/7, 0, 1/2
Let w(r) be the second derivative of r**7/2520 - r**6/288 + r**5/120 + r**4/2 + r. Let u(k) be the third derivative of w(k). Factor u(i).
(i - 2)*(2*i - 1)/2
Let j(t) be the first derivative of t**5/15 - 4*t**3/9 - 95. Find c, given that j(c) = 0.
-2, 0, 2
Let q(o) = -o**2 + o + 1. Let t(j) = -6*j**2 + 3 + 4 - j - 4 + 10*j. Let p(m) = 3*q(m) - t(m). Suppose p(i) = 0. Calculate i.
0, 2
Suppose 4*s + 24 - 4 = 0, -2*s + 22 = 4*h. Factor 7*r**2 - 23*r**4 + 20*r - 20 - 20*r**3 + h*r**2 - 23*r**4 + 51*r**4.
5*(r - 2)**2*(r - 1)*(r + 1)
Let x(l) = 2*l**3 - 26*l**2 - 18*l - 25. Let m be x(14). Let p = -794/7 + m. Determine v, given that -p*v**2 + 0 - v**3 + 9/7*v**5 - 2/7*v + 11/7*v**4 = 0.
-1, -2/9, 0, 1
Suppose 287 = -b + 277. Let q be (-2)/b + (-110)/(-1400)*12. Determine c, given that -8/7*c**4 - 2/7*c**5 + 10/7*c + 4/7*c**2 - q*c**3 + 4/7 = 0.
-2, -1, 1
Let o(t) = -4*t - 5. Let g be o(-5). Factor -66 - g*i**3 + 10*i**4 - 10*i**2 + 66.
5*i**2*(i - 2)*(2*i + 1)
Let l(s) be the first derivative of 0*s + 17 + s**2 + 2/3*s**3. Determine z, given that l(z) = 0.
-1, 0
Let b(k) be the first derivative of k**6/30 + 11*k**5/25 + 12*k**4/5 + 104*k**3/15 + 56*k**2/5 + 48*k/5 + 126. Let b(l) = 0. What is l?
-3, -2
Find m such that -2*m**3 + 182 + 3*m**2 + 15*m**2 - 398 = 0.
-3, 6
Suppose -4*a = 2*m - 10, -2*m - 2*a + 10 + 4 = 0. Let f be (-1*(-2)/(-9))/((-6)/m). Factor 1/2*o + 1/6*o**2 + f.
(o + 1)*(o + 2)/6
Let q(a) = -a**2 + 9*a - 11. Let b be q(8). Let f = b + 5. Factor -25*j**3 - 2*j - f*j**5 - 12*j**4 + j**3 - 16*j**2 + 2*j.
-2*j**2*(j + 2)**3
Suppose -z + d - 3 = 0, 5*d - 17 = 8*z - 4*z. Let c(a) be the first derivative of 1/6*a**3 - 9/10*a**5 + 0*a**4 + 0*a**z - 3 + 0*a. Factor c(y).
-y**2*(3*y - 1)*(3*y + 1)/2
Let j = 12 - 8. Suppose -2*t - 10 = 0, 4*a + 3*t + 11 - 8 = 0. Factor -20/13*r**j - 80/13*r**a - 2/13*r**5 - 160/13*r**2 - 160/13*r - 64/13.
-2*(r + 2)**5/13
Let s(j) = -5*j**3 + 4*j**2 - 3*j + 3. Let h(q) = 14*q**3 - 12*q**2 + 8*q - 8. Let x(i) = 3*h(i) + 8*s(i). Factor x(d).
2*d**2*(d - 2)
Factor 152/9*r + 2/9*r**2 + 2888/9.
2*(r + 38)**2/9
Suppose g - 12 = -3*v, v - g = 24 - 20. Let n(d) be the first derivative of 1/25*d**5 + 14 + 1/20*d**v - 1/10*d**2 - 1/15*d**3 + 0*d. Factor n(f).
f*(f - 1)*(f + 1)**2/5
Let c(t) be the first derivative of t**6/420 - t**5/210 + 13*t**3/3 - 13. Let j(m) be the third derivative of c(m). Determine r so that j(r) = 0.
0, 2/3
Suppose 196 = 2*r - 3*x, -5*r + 3*x = -8*r + 309. Factor -102*t**2 + 0*t - 1 + r*t**2 - 2*t.
-(t + 1)**2
Let m(g) = 3*g**3 - 2*g**2 - 14*g + 15. Let a be m(1). Find h such that 2/3*h + 2/3 - 2/3*h**a - 2/3*h**3 = 0.
-1, 1
Let i(b) be the first derivative of 0*b**2 + 5/3*b**3 + 3*b**5 + 5/6*b**6 + 0*b - 8 + 15/4*b**4. Factor i(o).
5*o**2*(o + 1)**3
Let r(q) be the third derivative of -1/8*q**5 - 25/96*q**4 + 0 - 2*q**2 + 0*q + 5/24*q**3. Factor r(t).
-5*(t + 1)*(6*t - 1)/4
Let k = -894 - -16093/18. Let j(r) be the first derivative of 7 + 5/3*r**2 + 14/27*r**3 + 2*r + k*r**4. Let j(d) = 0. Calculate d.
-3, -1
Suppose -38 = -8*o + 122. Let -2 - o*y + 42*y - 25*y - y**2 = 0. Calculate y.
-2, -1
Let u(p) be the first derivative of -p**4 + 32*p**3/3 - 10*p**2 - 200*p + 263. Factor u(n).
-4*(n - 5)**2*(n + 2)
Factor 10/13*v - 32/13*v**2 + 0 + 6/13*v**3.
2*v*(v - 5)*(3*v - 1)/13
Let d be (4/(-28))/(23/(-92)). Let -1/7*n**2 + d*n - 4/7 = 0. What is n?
2
Factor -3/2*o - 1/2 + 7/8*o**2.
(o - 2)*(7*o + 2)/8
Let h be (-12)/(-1470)*15*(-70)/(-30). Find n such that -h*n - 4/21*n**2 - 2/21 = 0.
-1, -1/2
Let a be (1 - -4) + 8 + (-1269)/99. Find p, given that 2/11*p - a - 2/11*p**3 + 2/11*p**2 = 0.
-1, 1
Factor -192*q - 5*q**2 + 6*q**2 + 3072 + q**2 + 3*q**2 - 2*q**2.
3*(q - 32)**2
Suppose 0 = 9*x - 2*x + 2135. Let u be -6 + (x/(-25) - 5). Determine p, given that 8/5*p**2 + u*p**4 + p - 2/5 - 17/5*p**3 = 0.
-1/2, 1/3, 1, 2
Let x = 175 + -179. Let y be -1 - x*6/4. Factor -9/4*p**3 + 3/4*p**y - 3/2*p**2 + 0 + 0*p**4 + 0*p.
3*p**2*(p - 2)*(p + 1)**2/4
Let u(x) be the third derivative of 5*x**7/42 - 7*x**6/12 + 11*x**5/15 - x**4/3 - 22*x**2 - 1. Factor u(l).
l*(l - 2)*(5*l - 2)**2
Let o(x) = 4*x + 22. Let g be o(-5). Let 8*y**2 - 32*y**2 + 15*y**2 + 8*y**2 - g*y = 0. Calculate y.
-2, 0
Let d(f) be the first derivative of -3*f**5/35 + 9*f**4/28 - 2*f**3/7 - 11. Factor d(m).
-3*m**2*(m - 2)*(m - 1)/7
What is h in 2/15*h - 4/15*h**3 + 2/15*h**5 + 0*h**4 + 0*h**2 + 0 = 0?
-1, 0, 1
Let h = -5/13 - -59/52. Let v = -29094 - -29097. Factor -h*x**2 + 0*x + 0 + 3/4*x**v.
3*x**2*(x - 1)/4
Let c(t) be the third derivative of t**7/168 - 7*t**6/32 - 23*t**5/16 - 355*t**4/96 - 5*t**3 - t**2. Factor c(z).
5*(z - 24)*(z + 1)**3/4
Suppose 5*m + 5*b = 20, -4*m + 4*b - 2 = 2*b. Let v(j) = 4*j**3 - j**2 - j + 2. Let c be v(m). Factor 0 + h + 0*h**2 - 3/4*h**3 + 1/4*h**c.
h*(h - 2)**2*(h + 1)/4
Let d(b) be the third derivative of -b**5/150 - 13*b**4/15 + 53*b**3/15 + 75*b**2 - 2. Factor d(k).
-2*(k - 1)*(k + 53)/5
Factor -74/5*g + 4*g**2 + 2/5*g**3 + 52/5.
2*(g - 2)*(g - 1)*(g + 13)/5
Let b = -195 - -199. Let o(h) be the third derivative of 0 + 1/420*h**6 + 0*h - 1/30*h**5 - 3/7*h**3 + 5/28*h**b - 7*h**2. Factor o(w).
2*(w - 3)**2*(w - 1)/7
Let y(u) = 8*u**3 + 9*u**2 + 4*u - 2. Let o = 9 + 0. Let g(k) = -1 - 4*k**3 + 5*k - 4*k**3 + o*k**2 + 15*k**3. Let j(c) = -5*g(c) + 4*y(c). Factor j(l).
-3*(l + 1)**3
Suppose 0*q - 29 = 2*s + q, -s + 3*q - 18 = 0. Let j = -13 - s. Suppose 3*t - 6 + t**2 + 2*t**j - 6*t = 0. What is t?
-1, 2
Let p(h) be the third derivative of h**6/240 - 11*h**5/120 - 13*h**4/24 + 58*h**2 - h. Factor p(i).
i*(i - 13)*(i + 2)/2
Let d be (-8 - 290/(-30))*3. Let l(u) be the first derivative of -2 + 0*u**4 - 1/5*u**d + u**2 + 0*u + u**3. Factor l(i).
-i*(i - 2)*(i + 1)**2
Let y = 2/1171 + 5847/4684. Factor d**3 + 0 + 1/4*d**4 + 1/2*d + y*d**2.
d*(d + 1)**2*(d + 2)/4
Let x(g) be the second derivative of -g**4/28 - 5*g**3/7 - 27*g**2/14 + 143*g. Let x(b) = 0. What is b?
-9, -1
Let w(t) be the first derivative of 0*t + 0*t**4 + 0*t**2 + 10 - 2/15*t**5 + 0*t**3. Factor w(f).
-2*f**4/3
Let p(d) be the third derivative of 4*d**7/315 - 5*d**6/12 + 13*d**5/10 + 17*d**4/18 + 225*d**2. Determine n so that p(n) = 0.
-1/4, 0, 2, 17
Let m be ((-15)/(-2))/(18/24). Suppose 2*y = s - 2*s - m, 0 = -4*y - 20. Find i, given that s*i**2 - i + i**2 + 3*i = 0.
-2, 0
Let o(k) be the third derivative of -k**7/42 - 17*k**6/72 - 31*k**5/36 - 115*k**4/72 - 5*k**3/3 + 78*k**2. Let o(w) = 0. What is w?
-3, -1, -2/3
Find y such that -36/5*y - 132/5*y**2 + 381/5*y**3 + 0 - 66/5*y**5 + 87/5*y**4 = 0.
-2, -2/11, 0, 1/2, 3
Let u(j) be the second derivative of j**7/315 - 4*j**6/225 - 2*j + 5. Factor u(r).
2*r**4*(r - 4)/15
Let y(l) be the third derivative of l**7/70 - 19*l**5/20 + 15*l**4/4 - 11*l**2 + 2*l. Let y(a) = 0. Calculate a.
-5, 0, 2, 3
Let g(k) be the first derivative of -9/11*k**2 + 4/11*k**3 + 2 - 12/11*k. Factor g(f).
6*(f - 2)*(2*f + 1)/11
Factor 2/7*a - 2/7*a**2 + 12/7.
-2*(a - 3)*(a + 2)/7
Factor 42/13*j**2 + 198/13*j + 2/13*j**3 - 242/13.
2*(j - 1)*(j + 11)**2/13
Let u(y) = 9*y + 54. Let r be u(15). Let q be r/135 - (-6)/(-10). Find l such that 0 - 2/5*l + 18/5*l**5 + 16/5*l**3 + 36/5*l**4 - q*l**2 = 0.
-1, -1/3, 0, 1/3
Suppose 6/5*d + 6/5*d**2 - 6/5 - 6/5*d**3 = 0. Calculate d.
-1, 1
Determine u, given that 0 + 3/2*u**3 - 15/4*u**4 - 6*u + 15*u**2 = 0.
-2, 0, 2/5, 2
Let h(j) = j**2 + 4*j - 8. Let m be h(-6). Let f(y) be the first derivative of 1/18*y**m + 3 - 1/9*y**2 - 4/27*y**3 + 4/9*y. Factor f(c).
2*(c - 2)*(c - 1)*(c + 1)/9
Let p(i) be the first derivative of i**4/2 - 6*i**3 + 71. What is x in p(x) = 0?
0, 9
Let w(i) = i**2 - 12*i + 35. Let v be w(4). Let d be (v/6 - 0)/(15/10). Factor 0 + d*b - 2/3*b**2 - b**3.
-b*(b + 1)*(3*b - 1