- 9/35*v**5 + 0. Factor x(n).
3*n**2*(n - 2)*(5*n - 2)/7
Suppose 3*x + 98 = 4*h + 85, 0 = 3*h - 5*x - 7. Factor -4/13*v**2 + 0*v + 0 - 14/13*v**h + 18/13*v**3.
-2*v**2*(v - 1)*(7*v - 2)/13
Let t(u) be the first derivative of -u**6/1080 - 7*u**5/240 + 11*u**4/144 + 10*u**3 - 2*u + 43. Let j(k) be the third derivative of t(k). Factor j(p).
-(p + 11)*(2*p - 1)/6
Let i = -331 + 2981/9. Factor -2/9*t**2 + 0 + 2/9*t**4 + 0*t - i*t**5 + 2/9*t**3.
-2*t**2*(t - 1)**2*(t + 1)/9
Let o(x) be the first derivative of -x**4 - 28*x**3/3 - 28*x**2 - 32*x - 87. Factor o(w).
-4*(w + 1)*(w + 2)*(w + 4)
Let t(v) = -20*v + 103. Let d be t(5). Let q(j) be the second derivative of 0*j**4 + 0 + 1/135*j**6 + 0*j**d + 0*j**2 + 1/90*j**5 + 2*j. What is i in q(i) = 0?
-1, 0
Let r(c) be the second derivative of -c**4/60 - 37*c**3/30 + 39*c**2/5 - 619*c. Suppose r(l) = 0. What is l?
-39, 2
Let h be 3 - 40/(-5) - 9. Let 4/11*p**h - 4/11 + 6/11*p - 8/11*p**3 + 0*p**4 + 2/11*p**5 = 0. What is p?
-2, -1, 1
Let x(r) = r**3 - 5*r**2 - 12. Let m be x(6). Let k be m/28*28/10. Factor -8/5 + k*c**3 + 24/5*c - 26/5*c**2 - 2/5*c**4.
-2*(c - 2)**2*(c - 1)**2/5
Let l = -2245273/160 - -112255/8. Let o = -9/32 - l. Factor 2/5 + 6/5*h + o*h**2 - 6/5*h**4 - 2/5*h**5 - 4/5*h**3.
-2*(h - 1)*(h + 1)**4/5
Let -12/5*w**2 + 2/5*w**3 + 18/5*w - 8/5 = 0. Calculate w.
1, 4
Let s(c) = -7 + 9*c + 3 - 10*c. Let m be s(-4). Solve 1/3*d**4 + 0 + m*d + 2/3*d**3 + 1/3*d**2 = 0.
-1, 0
Let h(v) be the third derivative of v**7/5040 + v**6/360 + v**5/80 - v**4/4 - 28*v**2. Let s(t) be the second derivative of h(t). Solve s(p) = 0 for p.
-3, -1
Let x(d) be the second derivative of -d**6/10 - 3*d**5/5 + 33*d**4/2 + 70*d**3 - 3675*d**2/2 + 46*d. Factor x(l).
-3*(l - 5)**2*(l + 7)**2
Let 0 + 1/9*r**3 - 32/9*r**2 - 11/3*r = 0. What is r?
-1, 0, 33
Let f(p) be the first derivative of 1/4*p**4 - 2*p**2 + p**3 + 0*p - 29. Find s, given that f(s) = 0.
-4, 0, 1
Let y(b) be the third derivative of 5/8*b**4 + 0*b + 0 - 3/4*b**3 + 9/40*b**5 - 14*b**2 - 1/20*b**6. Factor y(g).
-3*(g - 3)*(g + 1)*(4*g - 1)/2
Let w(u) be the first derivative of -8*u**5 - 7*u**4/6 + 4*u**3/9 - 171. Suppose w(m) = 0. Calculate m.
-1/4, 0, 2/15
Let u(b) be the third derivative of -b**5/300 - 11*b**4/60 - 121*b**3/30 - 98*b**2. Factor u(o).
-(o + 11)**2/5
Let w = 49753/7 + -7105. Factor w*i**2 - 80/7*i - 24/7 + 2*i**3.
2*(i - 2)*(i + 3)*(7*i + 2)/7
Let s(g) be the third derivative of g**6/960 + 13*g**5/480 + 23*g**4/192 + 11*g**3/48 + 3*g**2 + 9. Suppose s(t) = 0. Calculate t.
-11, -1
Suppose x - 4*o = -10, 6 - 1 = -2*x + 3*o. Let t = 823 - 3271/4. Find l such that -15/4*l**3 + 3/4*l**4 + 27/4*l**x - t*l + 3/2 = 0.
1, 2
Let j(n) = -5*n**3 + 79*n**2 - 403*n + 314. Let h(d) = 10*d**3 - 160*d**2 + 805*d - 630. Let o(u) = -3*h(u) - 5*j(u). Let o(f) = 0. What is f?
1, 8
Let i(z) be the third derivative of z**7/1960 + z**6/420 - z**5/280 - z**4/28 + z**3/6 - 13*z**2. Let s(o) be the first derivative of i(o). Solve s(f) = 0.
-2, -1, 1
Solve -6465*d**2 + 0*d + 6464*d**2 + 28 - 27*d = 0.
-28, 1
Let u = 7 + -3. Suppose u*d - d = 6. Factor -4 - 55*g**3 - g**3 + 2*g + 5*g**d + 53*g**2.
-2*(g - 1)*(4*g + 1)*(7*g - 2)
Suppose 5*w = 3*o - 15, 5*w - 7*o + 8*o - 5 = 0. What is r in w*r - 3/5*r**3 + 6/5*r**4 + 0 - 3/5*r**5 + 0*r**2 = 0?
0, 1
Let s(y) = y**2 - 13*y + 4. Let z be s(14). Factor 27 + 10*d**2 - z*d - 16*d**2 + 9*d**2.
3*(d - 3)**2
Let w(z) be the third derivative of z**8/57120 - z**7/3570 - 23*z**4/24 - 21*z**2. Let p(i) be the second derivative of w(i). Suppose p(a) = 0. Calculate a.
0, 6
Let g = 6427/3 + -2142. Let n = -3 - -10/3. Factor n*r + 0 + 2/3*r**2 - g*r**5 - 2/3*r**4 + 0*r**3.
-r*(r - 1)*(r + 1)**3/3
Let b(i) be the second derivative of i**8/4480 - i**7/840 + i**4/3 - 6*i. Let a(f) be the third derivative of b(f). Factor a(v).
3*v**2*(v - 2)/2
Let y be 5 - 150/48 - 3/(-72)*3. Solve -4/15*o**y + 2/15*o**3 + 0*o + 0 = 0.
0, 2
Let i(f) be the first derivative of -f**7/84 + f**6/60 + f**5/20 + 40*f - 36. Let g(x) be the first derivative of i(x). Factor g(l).
-l**3*(l - 2)*(l + 1)/2
Suppose 0 = 73*a - 68*a - 115. Factor 10*d + a*d - 36 + 33*d**2 - 30*d**2.
3*(d - 1)*(d + 12)
Let x be 3/(5/(20/(-3))). Let f be -3*x/(-8)*-4. Let -5*c**4 - 6*c**2 + 2*c - 5*c**4 + 8*c**4 + f*c**3 = 0. Calculate c.
0, 1
Let i(j) = -2*j**4 - 42*j**3 + 420*j**2 + 144*j. Let a(k) = k**4 + 14*k**3 - 140*k**2 - 48*k. Let l(o) = 16*a(o) + 5*i(o). Factor l(r).
2*r*(r - 4)*(r + 6)*(3*r + 1)
Suppose -3*v + 0*v + 243 = 0. Suppose v*o - 6 = 79*o. Solve 0*d**2 + 0*d**o + 0*d - 2/5*d**5 - 2/5*d**4 + 0 = 0.
-1, 0
Let x(c) be the third derivative of 5/42*c**5 + 4/21*c**3 + 0*c - 7*c**2 - 4/21*c**4 + 0 + 1/105*c**7 - 19/420*c**6 - 1/1176*c**8. Factor x(h).
-2*(h - 2)**2*(h - 1)**3/7
Suppose -4*s - 48*s + 96 = -4*s. Factor 1/5*y**s - 1/5 + 0*y.
(y - 1)*(y + 1)/5
Factor 1219056*t**3 - 1219032*t**3 + 3*t**2 - 3*t**4 - t - 23*t.
-3*t*(t - 8)*(t - 1)*(t + 1)
Factor 2/3*w**2 + 32/3 - 34/3*w.
2*(w - 16)*(w - 1)/3
Let o(r) = -2*r**3 - r - 1. Let d be o(-1). Let i = -32/9 + 38/9. Factor 0 - 4/3*n**d - i*n**4 + 0*n - 2*n**3.
-2*n**2*(n + 1)*(n + 2)/3
Let n be (-1472)/(-36) - 4/(-36). Let j = n - 79/2. Find t, given that 12*t - 24 - j*t**2 = 0.
4
Let g(w) be the second derivative of 1/20*w**5 + 0*w**3 + 34*w - 1/84*w**7 + 1/60*w**6 + 0*w**2 + 0*w**4 + 0. Factor g(f).
-f**3*(f - 2)*(f + 1)/2
Suppose 7*p - 4*p = 2*t - 529, 3*t = p + 167. Let o = -177 - p. Suppose -2/11*c - 2/11*c**o + 0 = 0. Calculate c.
-1, 0
Let y(n) = 144*n**3 + 12449*n**2 - 5000*n + 11. Let b(z) = -28*z**3 - 2490*z**2 + 1000*z - 2. Let u(g) = 11*b(g) + 2*y(g). Suppose u(x) = 0. What is x?
-125, 0, 2/5
Let q(p) = -2*p**2 + 23*p - 39. Suppose 0 = -5*m - m + 84. Let d(o) = -o**2 + 17*o - 2*o - 4*o - 19. Let v(a) = m*d(a) - 6*q(a). Factor v(l).
-2*(l - 4)**2
Let c(d) be the first derivative of 2*d**5/35 + d**4/4 - 2*d**3/21 - d**2/2 - 165. Factor c(j).
j*(j - 1)*(j + 1)*(2*j + 7)/7
Let x(n) = n**3 + 8*n**2 + 8*n + 9. Let k be x(-7). Let l be ((-9)/(-6))/(k/4). Solve -6*q**2 - q**l - q + 2*q**2 + 2*q**2 = 0.
-1, 0
Let y be 4 + 1 + -1*46. Let s = y - -41. Solve 1/7*a**2 + s - 3/7*a = 0 for a.
0, 3
Let q(i) = -i**5 + i**4 - i**3 - i**2 - 1. Let b(j) = -8*j**5 + 8*j**4 + j**3 - 11*j**2 - 3*j - 2. Let p(l) = b(l) - 5*q(l). Suppose p(h) = 0. What is h?
-1, 1
Let l = -360 - -152. Let x = -1037/5 - l. Determine v so that -x*v**2 + 0 + 3/5*v**5 + 0*v + 9/5*v**3 - 9/5*v**4 = 0.
0, 1
Suppose -25*r - 16 = -5*g - 28*r, 3*g - 16 = -5*r. Find q such that 17/7*q**g - 3/7*q**4 + 6/7 + 19/7*q + 1/7*q**3 = 0.
-1, -2/3, 3
Let o = 7 - 5. Suppose -13 = -o*j + 3*g, -4*j + 9*j + 2*g = 4. Solve 2*h + 1 - 2*h**4 - 4*h**3 + j*h + 1 = 0 for h.
-1, 1
Let v be (-1)/(-5) + (0 - -1). Let j be 4*1/3*9/6. Determine s so that 0 + 2/5*s**3 - v*s**j + 4/5*s = 0.
0, 1, 2
Let h be 41/123*348/2. Let i be -4 + (h/9 + -3 - -1). Solve i*d**2 + 0 + 2/9*d**4 + 2/3*d**3 + 0*d = 0 for d.
-2, -1, 0
What is f in 36/5*f + 81/5*f**2 + 6/5*f**3 - 39/5 = 0?
-13, -1, 1/2
Let f(q) = q + 43*q**4 + 6*q**3 - 5*q**3 - 42*q**4. Let n(b) = -5*b**4 - 6*b**3 + 19*b**2 - 8*b - 3. Let r(x) = 3*f(x) + 3*n(x). Suppose r(m) = 0. What is m?
-3, -1/4, 1
Find k such that 0*k**4 + 4*k**2 - 4*k**4 + 11*k**3 - 3*k**5 + 9*k**3 + k**5 - 18*k**3 = 0.
-2, -1, 0, 1
Let x(c) be the second derivative of 3*c**6/40 - 51*c**5/80 - 19*c**4/6 - 31*c**3/6 - 4*c**2 - 235*c. Find a such that x(a) = 0.
-1, -2/3, 8
Let q(l) be the second derivative of l**4/60 + 49*l**3/60 + 69*l**2/20 - 17*l - 3. Determine y so that q(y) = 0.
-23, -3/2
Suppose 0 = g - 0 - 3. Let t be g/6*-2 + 9. Suppose q**2 - q**3 + q**2 + 9*q**3 + t*q**4 - 8*q**5 - 10*q**4 = 0. Calculate q.
-1, -1/4, 0, 1
Let j(x) = x**2 + 10*x + 14. Let n be j(-9). Suppose 0 = -n*m + 40 - 15. Determine i, given that 11*i**3 - 2*i**2 - m*i + 2 - 9*i**3 + i + 2*i = 0.
-1, 1
Let p = 77083/49 - 1573. Let q = 226/245 - p. Determine v so that -2/5*v + 2/5*v**2 - q = 0.
-1, 2
Let j be (-12)/(-8)*(-14)/(-3). Factor -3*l**3 - j*l**3 + 19*l**4 - 14*l**4 + 5*l**5.
5*l**3*(l - 1)*(l + 2)
Factor -182*o**3 + 75*o**4 - 58*o**3 + 27*o**2 + 330*o**3.
3*o**2*(5*o + 3)**2
Let r(i) be the third derivative of i**4/24 + 4*i**3/3 + 5*i**2. Let b be r(-6). Factor 3*n + 6*n**b + 0*n**2 