be u(-2). Let m(c) be the third derivative of -1/12*c**4 + 0*c - 1/5*c**5 + 0*c**t + 0 - 3*c**2. What is r in m(r) = 0?
-1/6, 0
Let o be 21/(-2) + (33 - 22). Find z such that 5*z**2 - 1 + o*z = 0.
-1/2, 2/5
Factor 30 + 81/5*d + 3/5*d**2.
3*(d + 2)*(d + 25)/5
Let o(a) be the third derivative of 49*a**5/15 - 140*a**4/3 + 800*a**3/3 + 2*a**2 - 61*a. Determine w, given that o(w) = 0.
20/7
Let d(y) be the third derivative of -7*y**6/1620 - y**5/60 - y**4/54 - 7*y**3/6 + 18*y**2. Let o(t) be the first derivative of d(t). Solve o(f) = 0.
-1, -2/7
Let o(l) be the second derivative of -l**7/14 + l**6/5 + 33*l**5/20 - 3*l**4 - 18*l**3 - 138*l. Factor o(w).
-3*w*(w - 3)**2*(w + 2)**2
Let o be 64/(-256)*0/(-1). Factor -1/7*h + o + 1/7*h**3 - 1/7*h**2 + 1/7*h**4.
h*(h - 1)*(h + 1)**2/7
Let h be (117/(-130))/(3*2/(-10)). Let k(y) be the first derivative of -1/3*y**3 - 2*y - h*y**2 - 4. Factor k(v).
-(v + 1)*(v + 2)
Let p be 1 + 2 + (2 - 2). Find f such that 15*f**5 - 10*f**3 - 2*f - 9*f**2 - 7*f**2 + 20*f**4 - 4*f**2 - p*f = 0.
-1, -1/3, 0, 1
Let k(c) be the second derivative of -1/4*c**2 + 9*c - 11/24*c**3 + 13/48*c**4 + 0. Find f such that k(f) = 0.
-2/13, 1
Factor 204*k + 2*k**2 - 30 + 5*k**3 + 8*k**2 - 229*k.
5*(k - 2)*(k + 1)*(k + 3)
Find j such that 2/19*j**3 + 4/19*j + 6/19*j**2 + 0 = 0.
-2, -1, 0
Let u(h) be the second derivative of -h**10/272160 + h**9/136080 + h**8/30240 - h**4/6 + 22*h. Let m(s) be the third derivative of u(s). Factor m(o).
-o**3*(o - 2)*(o + 1)/9
Let y(c) be the third derivative of -c**7/350 - 41*c**6/200 - 22*c**5/5 - 10*c**4 + 84*c**2. Determine m so that y(m) = 0.
-20, -1, 0
Let p(y) be the first derivative of 2*y**3 + 151*y**2/3 - 68*y/3 - 293. What is b in p(b) = 0?
-17, 2/9
Let r(a) be the first derivative of a**6/75 - a**5/25 + a**4/30 + 47*a + 45. Let l(q) be the first derivative of r(q). Factor l(n).
2*n**2*(n - 1)**2/5
Let y(k) = -2*k**2 - 74*k + 16. Let i(v) = v**2 + 25*v - 6. Let m(w) = -8*i(w) - 3*y(w). Find x such that m(x) = 0.
0, 11
Let i(y) be the first derivative of 2*y**6/9 + y**5 - 4*y**4/3 - 23*y**3/3 + 3*y**2 - 27. Suppose i(n) = 0. Calculate n.
-3, 0, 1/4, 2
Let d(c) be the third derivative of 1/4*c**5 - 5/2*c**3 + 4 + 7*c**2 + 5/24*c**4 - 1/24*c**6 + 0*c. Factor d(g).
-5*(g - 3)*(g - 1)*(g + 1)
Let v(n) = -n**3 + 11*n**2 + 12*n + 4. Let c be v(12). Factor 8*d**3 + d**2 - 125*d**4 + 113*d**c + 3*d**2.
-4*d**2*(d - 1)*(3*d + 1)
Let b = 115 + -115. Let n(v) be the first derivative of 8/5*v**5 - 2*v**2 + 0*v**4 + 2/3*v**6 + b*v - 8/3*v**3 + 7. What is g in n(g) = 0?
-1, 0, 1
Factor 46/11*x - 4/11*x**2 - 2.
-2*(x - 11)*(2*x - 1)/11
Let f(h) be the second derivative of h**5/60 - h**4/12 + 3*h**2/2 - h. Let r(m) be the first derivative of f(m). Factor r(w).
w*(w - 2)
Let x = -13 - -79/6. Let q = 1/3 + x. Factor -q + 0*d + 1/2*d**2.
(d - 1)*(d + 1)/2
Let g(f) = f**2 - f - 2. Let h(y) = 15*y**2 + 15*y - 100. Let q(j) = 20*g(j) - h(j). Factor q(p).
5*(p - 4)*(p - 3)
Let n(l) = l**3 + 12*l**2 + 5*l - 61. Let g be n(-11). Let s(a) be the first derivative of -3/14*a**4 + 2/35*a**g + 2/7*a**3 - 6 - 1/7*a**2 + 0*a. Factor s(z).
2*z*(z - 1)**3/7
Let k(r) = -9*r**2 - 201*r + 140. Let n be k(-23). Factor -3/7*y**3 + 6/7*y**n - 3/7*y + 0.
-3*y*(y - 1)**2/7
Let z = 193903 + -96369663/497. Let b = z + 2/71. Solve -2/7*n**2 - b - 4/7*n = 0 for n.
-1
Factor 48*i**2 - 2*i**3 - 48 + 135*i + 73*i - 206*i.
-2*(i - 24)*(i - 1)*(i + 1)
Let f(j) be the first derivative of -j**6/6 + 3*j**5/4 - 5*j**4/4 + 5*j**3/6 - 15*j - 13. Let q(s) be the first derivative of f(s). Let q(i) = 0. Calculate i.
0, 1
Let f be 99/(-2)*((-32)/(-6) - 6). Let q = f - 31. Find c, given that -2/3*c + 0 - 4/3*c**q - 2/3*c**3 = 0.
-1, 0
Let g(u) = 31*u**3 - 142*u**2 + 60*u + 156. Let j(s) = -6*s**3 + 28*s**2 - 12*s - 32. Let n(r) = 2*g(r) + 11*j(r). Factor n(p).
-4*(p - 5)*(p - 2)*(p + 1)
Let l = 180437/2934 + 2/1467. Let g = 62 - l. Find p, given that -p**3 + 1/2*p**2 + g*p**4 + 0*p + 0 = 0.
0, 1
Let q(m) be the second derivative of 0 + 0*m**5 + 2*m - 2/3*m**4 + 0*m**3 + 1/840*m**7 + 0*m**2 + 0*m**6. Let k(z) be the third derivative of q(z). Factor k(i).
3*i**2
Let g = 13271/3 - 4422. Find q, given that -5/3*q**2 + g - 1/3*q + 1/3*q**3 = 0.
-1, 1, 5
Let j = 5345/2 + -2672. Let v(w) be the first derivative of j*w**4 + 2 + 16/15*w**3 + 1/5*w**2 - 4/5*w. Factor v(l).
2*(l + 1)**2*(5*l - 2)/5
Suppose -w = -5*m, 5*m = -0*w - 2*w. Let x = m + 1/2. Solve -1/2 + 1/2*t**2 + x*t**3 - 1/2*t = 0 for t.
-1, 1
Let z be 5*-12*6/(-180). Factor 4/7*n - 2/7*n**z - 2/7.
-2*(n - 1)**2/7
Let l(p) be the first derivative of -2/5*p**2 - 1/30*p**3 + 12 - 8/5*p. Let l(v) = 0. Calculate v.
-4
Let a(l) be the first derivative of -81/2*l + 2 - 9/2*l**3 - 3/8*l**4 - 81/4*l**2. Find j such that a(j) = 0.
-3
Let l be ((-25)/2)/(-5) + (-12)/24. Factor -47*i**2 - 10*i + 19*i**2 + 15 + 23*i**l.
-5*(i - 1)*(i + 3)
Let c = -9305 - -9307. Let -2/5*b**c + 8/5*b - 8/5 = 0. Calculate b.
2
Let v be (16/(-30))/(14/21)*-5. What is u in -4*u**3 + 5*u**4 + 6*u**v - 4*u**5 - 19*u**4 = 0?
-1, 0
Let y(j) be the second derivative of j**6/40 + 9*j**5/32 - 5*j**4/16 - 15*j**3/16 + 3*j**2/2 - 425*j. Find p, given that y(p) = 0.
-8, -1, 1/2, 1
Let c(l) = l**2 - 13*l + 16. Let q be c(12). Suppose q*a = 2*y + 11 - 41, 3*y - 35 = 4*a. Solve 0 + 0*r + y*r - r**2 - 2 - 2*r = 0.
1, 2
Solve 5/3*a - 1/9*a**2 - 4 = 0.
3, 12
Let j be (2/4)/((-3)/(16 + -40)). Factor 13/2*p**3 - 30*p**2 - 1/2*p**j + 56*p - 32.
-(p - 4)**3*(p - 1)/2
Factor -100*k - 4 + 92*k - 5*k**4 + 2*k**3 + 6*k**4 - 3*k**2.
(k - 2)*(k + 1)**2*(k + 2)
Factor 40*k - 32/3*k**2 + 2/9*k**3 - 352/9.
2*(k - 44)*(k - 2)**2/9
Let t(a) be the first derivative of -4*a**5/15 - 7*a**4/3 + 4*a**3/9 + 14*a**2/3 + 16. Determine z, given that t(z) = 0.
-7, -1, 0, 1
Let q = 38662/3 - 12887. Find g such that -1/3*g - q*g**2 + 1/3*g**3 + 1/3 = 0.
-1, 1
Let k(x) be the third derivative of -x**7/630 + 7*x**6/360 - x**5/45 - x**4/6 + 2*x**2 + 82*x. Factor k(n).
-n*(n - 6)*(n - 2)*(n + 1)/3
Suppose 8*x - 7 - 9 = 0. Suppose 0 = g - x*i - 4 - 0, 5*i + 10 = 2*g. Determine p, given that g - 2/9*p - 2/9*p**2 = 0.
-1, 0
Let a(n) = -27*n**4 - 12*n**3 + 81*n**2 + 66*n + 6. Suppose -2*p = -6*p - 4. Let d(j) = j**3 + j + 1. Let t(g) = p*a(g) - 6*d(g). Determine i so that t(i) = 0.
-1, -2/9, 2
Suppose -5*q + 24 = 3*q. Suppose -5*n + 4 = 4*u, -5*u = -2*n - 2 - q. Factor 2/5*s**3 - 1/5*s + n*s**4 + 0*s**2 - 1/5*s**5 + 0.
-s*(s - 1)**2*(s + 1)**2/5
Let y be (21/(-56))/(9/(-12))*0. Let a(h) be the third derivative of y + 0*h**3 - 1/105*h**7 + 0*h + 0*h**4 - 1/30*h**6 + 0*h**5 + 8*h**2. Factor a(k).
-2*k**3*(k + 2)
Let f(n) be the second derivative of n**7/630 + n**6/60 + n**5/15 - 13*n**4/12 - 5*n. Let p(h) be the third derivative of f(h). Let p(z) = 0. Calculate z.
-2, -1
Let a(f) be the first derivative of 2*f**3/15 - 19*f**2/5 + 96*f/5 - 691. What is o in a(o) = 0?
3, 16
Factor -26076 - 1472*d - 55086 - 4*d**2 - 54262.
-4*(d + 184)**2
Let h(k) be the second derivative of -3*k**6/5 + 11*k**5/5 - 17*k**4/6 + 4*k**3/3 - 2*k - 17. Factor h(i).
-2*i*(i - 1)**2*(9*i - 4)
Let i(t) be the third derivative of 1/12*t**5 + 0*t**3 + 5/24*t**4 + 6*t**2 + 0 + 0*t. Determine b, given that i(b) = 0.
-1, 0
Let o(z) = z**2 - 19*z + 50. Let p be o(16). Let d(u) be the first derivative of 0*u - 2/25*u**5 - 6 + 1/5*u**p + 2/15*u**3 - 1/10*u**4. Factor d(m).
-2*m*(m - 1)*(m + 1)**2/5
Suppose 8 = -2*u + 30. Solve 16*t + 5 - 5 + 4*t**2 - u - 9 = 0.
-5, 1
Let v be (-2)/14*2 + -437*(-41)/43624. Let -3/8*p + 1/2 - v*p**2 = 0. Calculate p.
-4, 1
Let b(k) = -11*k**3 + 30*k**2 - 43*k + 19. Let o be (-75)/(-21) - (-8)/(-14). Let n(y) = -6*y**3 + 15*y**2 - 21*y + 9. Let i(z) = o*b(z) - 5*n(z). Factor i(h).
-3*(h - 2)**2*(h - 1)
Let w be (1*3/9)/(8/1392). Determine o so that -7*o**2 - 3*o - 26*o**4 - 5*o**3 + w*o**4 - 33*o**4 = 0.
-3, -1, 0
Let h(a) be the third derivative of 8/3*a**3 + 3*a + 7/40*a**6 - 3*a**2 + 7/6*a**4 - 23/15*a**5 + 0. Factor h(w).
(w - 4)*(3*w - 2)*(7*w + 2)
Let z = 255/4 - 63. Let t(k) be the second derivative of 6*k + 0 + z*k**3 - 5/8*k**4 + 3/2*k**2. Factor t(o).
-3*(o - 1)*(5*o + 2)/2
Let v be (9 - (6 + 24/8))/(1 + 0). Factor v - 9/7*o**2 - 3/7*o**3 - 6/7*o.
-3*o*(o + 1)*(o + 2)/7
Let x(a) be 