5, y + 70 = 5*n + 75. Solve 2/17*p**4 + n*p - 6/17*p**3 + 0 + 4/17*p**2 = 0 for p.
0, 1, 2
Let z(f) be the second derivative of -f**7/105 + f**6/25 + 13*f**5/50 - 13*f**4/10 - 12*f**3/5 + 108*f**2/5 + 9449*f. Determine a, given that z(a) = 0.
-3, -2, 2, 3
Let n(t) be the third derivative of -t**5/660 - 232*t**4/33 - 430592*t**3/33 - 6*t**2 + 343. Factor n(x).
-(x + 928)**2/11
Let v be 1/3*14 + -3. Let j = v + 17/6. Factor 15/2*h - j*h**2 + 1/2*h**3 + 25/2.
(h - 5)**2*(h + 1)/2
Let r(w) = 23*w**2 + 968*w + 15368. Let o(l) = 15*l**2 + 645*l + 10245. Let t = 101 - 106. Let a(x) = t*r(x) + 8*o(x). Factor a(q).
5*(q + 32)**2
Let g(r) be the third derivative of r**5/140 - 37*r**4/14 + 2738*r**3/7 - 31*r**2 - 10*r. Factor g(z).
3*(z - 74)**2/7
Let a(j) be the third derivative of 7*j**5/180 + 233*j**4/72 + 11*j**3/3 - 2*j**2 - 154. Factor a(d).
(d + 33)*(7*d + 2)/3
Let u(k) be the third derivative of 0 - 85*k**2 + 0*k**3 + 1/72*k**6 + 0*k + 1/12*k**5 + 5/36*k**4. Factor u(f).
5*f*(f + 1)*(f + 2)/3
Let t = -4561/23 - -18313/92. Factor 3/2*v**2 - 3/8*v**3 - 15/8*v + t.
-3*(v - 2)*(v - 1)**2/8
Let q(z) = 3 + 2*z + 26*z**2 - 17*z**2 - 8*z**2. Let w be q(0). Find y, given that 5*y**w - 13*y**3 + 5*y**3 + 2*y**3 - 3*y**4 + 2*y**2 = 0.
-1, 0, 2/3
Let d(q) be the first derivative of q**4/36 + 4*q**3/9 + 7*q**2/6 + 335*q - 172. Let f(h) be the first derivative of d(h). Determine k, given that f(k) = 0.
-7, -1
Let y(t) be the first derivative of -t**6/840 + t**5/210 + t**4/42 - 4*t**3/21 + t**2 + 6*t + 162. Let p(z) be the second derivative of y(z). Factor p(l).
-(l - 2)**2*(l + 2)/7
Let k(h) be the third derivative of -h**7/210 - 9*h**6/8 + 137*h**5/60 + 45*h**4/8 - 68*h**3/3 - h**2 - 23. Factor k(s).
-(s - 1)**2*(s + 1)*(s + 136)
Let d(h) be the first derivative of -23 + 1/15*h**5 - 50/3*h - 3/4*h**4 + 13/9*h**3 + 15/2*h**2. Determine y so that d(y) = 0.
-2, 1, 5
Let k(q) be the first derivative of 0*q - 1/18*q**6 + 64 + 5/9*q**3 + 2/3*q**2 - 1/4*q**4 - 1/3*q**5. Suppose k(o) = 0. Calculate o.
-4, -1, 0, 1
Let y = 261925 - 1830226/7. Factor -20577/7 + 3/7*o**3 + y*o - 171/7*o**2.
3*(o - 19)**3/7
Let u(s) be the first derivative of s**3/2 + 2963*s**2/12 + 329*s/3 - 1566. What is r in u(r) = 0?
-329, -2/9
Let p be (4/10*(-15)/30)/(((-64)/240)/4). Factor -26/7*s**2 - 2/7*s**p + 14 - 10*s.
-2*(s - 1)*(s + 7)**2/7
Suppose -5*a = -3*s - 6*a + 22, -a = -13 + 15. Factor 2/3*f**2 + s - 16/3*f.
2*(f - 6)*(f - 2)/3
Let r(f) = -f**2 + 5*f + 17. Let v be r(7). Let t(g) be the second derivative of -1/70*g**5 - 1/21*g**v + 0*g**2 + 0 + 1/21*g**4 - 7*g. What is m in t(m) = 0?
0, 1
Suppose -3*v + u + 22 = -3*u, 2*v - 20 = 4*u. Factor 112*c**2 + 4*c - 99*c**v - 6 + c**3 - 43 + 31*c.
(c - 1)*(c + 7)**2
Let p(g) = 13*g**3 - 180*g**2 - 31*g + 888. Let d(b) = 4*b**3 - 62*b**2 - 10*b + 296. Let s(j) = 7*d(j) - 2*p(j). Suppose s(v) = 0. What is v?
-2, 2, 37
Let o(w) be the second derivative of 8/27*w**3 + 3 - 10*w + 16/9*w**2 + 1/54*w**4. Factor o(i).
2*(i + 4)**2/9
Let h(a) = 9*a**3 - 141*a**2 - 63*a. Let z(q) = 70*q**2 - q**3 + 2*q**3 + 30*q - 8*q**3 + 0*q**3 + 2*q**3. Let m(r) = 6*h(r) + 13*z(r). Solve m(s) = 0.
-2/11, 0, 6
Let t(z) = z**2 + 9*z - 4. Let u be -15 - (1 + 2 + 30/(-5)). Let p be t(u). Factor 26*l**4 + 162*l**2 + 81*l - 2*l**5 - p*l**3 + 5*l**5 + 140*l**3 + 4*l**4.
3*l*(l + 1)*(l + 3)**3
Let a(k) be the third derivative of -k**7/42 - k**6 + 28*k**5/3 + 3824*k**2. Find p such that a(p) = 0.
-28, 0, 4
Let m(c) = -15*c**3 + 10*c**2 + 4*c - 96. Let t(o) = 2*o**3 + o + 3. Let d(s) = m(s) + 8*t(s). Factor d(n).
(n - 2)*(n + 6)**2
Factor 18*f - 3/2*f**2 + 0.
-3*f*(f - 12)/2
Let k = 15/179 + 89/1074. Let r(c) be the third derivative of 0*c + 4/3*c**3 + 1/30*c**6 - k*c**4 - 2/15*c**5 + 0 + 16*c**2. Factor r(l).
4*(l - 2)*(l - 1)*(l + 1)
Solve 737767 - 147888*z**2 + 147891*z**2 + 79685 + 3132*z = 0 for z.
-522
Let v = 1004 - 1009. Let m(n) = -4*n**3 + 2*n**2 - 2*n - 2. Let l(g) = -9*g**3 + 3*g**2 - 5*g - 5. Let r(i) = v*m(i) + 2*l(i). Factor r(k).
2*k**2*(k - 2)
Let r(n) be the first derivative of -5/14*n**4 - 20/7*n - 1/7*n**3 + 48 + 16/7*n**2 + 1/35*n**5. What is w in r(w) = 0?
-2, 1, 10
Let z be (0 - 0)/(((-39)/9 + 4)*-6). Suppose -6/5*n**5 + 0*n**2 - 12*n**3 + z*n + 66/5*n**4 + 0 = 0. What is n?
0, 1, 10
Let c(f) be the second derivative of f**6/105 + 3*f**5/10 + 6*f**4/7 - 108*f**3/7 + 2959*f - 2. Factor c(m).
2*m*(m - 3)*(m + 6)*(m + 18)/7
Let q = -19 - -23. Solve -68*p**4 - 69*p**4 + p**3 - p**2 - p + 138*p**q = 0.
-1, 0, 1
Suppose 41 = 4*l - 3*h, h - 4*h + 31 = 5*l. Suppose 5*d - 2*q = 9, -6*q + l*q - 15 = -3*d. Factor -2/3*s - 5/2*s**d + 13/6*s**2 + 0 + 7/6*s**4 - 1/6*s**5.
-s*(s - 4)*(s - 1)**3/6
Let j = 10072 + -181295/18. Let x(b) be the second derivative of -2/3*b**2 - j*b**4 + 0 + 6*b + 1/3*b**3. Factor x(i).
-2*(i - 2)*(i - 1)/3
Let a = 127604 + -127601. Factor 1 + 0*s - 1/4*s**a - 3/4*s**2.
-(s - 1)*(s + 2)**2/4
Let u = -1560/19 - -9379/114. Solve c**2 + 1/6*c**3 - 1 - u*c = 0.
-6, -1, 1
Let x = -7884 + 7887. Let o(z) be the second derivative of 21*z + 20/9*z**x + 0 + 100/3*z**2 + 1/18*z**4. Factor o(r).
2*(r + 10)**2/3
Let b(u) be the second derivative of 5/12*u**4 + 95*u**2 - 65/2*u**3 + 3 + 14*u. Find f such that b(f) = 0.
1, 38
Factor -4572288*t - 3/2*t**3 - 4536*t**2 - 1536288768.
-3*(t + 1008)**3/2
Let a(r) be the first derivative of -4*r**3/3 + 32*r**2 - 256*r + 727. Factor a(s).
-4*(s - 8)**2
Let w(s) be the second derivative of -s**7/840 + s**6/5 - 72*s**5/5 + s**4/6 + 3*s**2/2 + 5*s - 21. Let c(x) be the third derivative of w(x). Factor c(t).
-3*(t - 24)**2
Let t(m) be the first derivative of -2*m**3/27 + 1058*m**2/9 - 559682*m/9 - 1409. Let t(i) = 0. What is i?
529
Suppose -7*o - 5*x = -5*o - 8, -o - 5*x = 1. Suppose -o = 3*d, 4*d - 8 + 28 = 4*l. Find i, given that -1/3 - 2/3*i - 1/3*i**l = 0.
-1
Let y(w) be the first derivative of -160*w - 20/3*w**3 + 4 - 70*w**2 + 5/4*w**4. Suppose y(t) = 0. What is t?
-2, 8
Let u be 0 + 94/22 - (-1035)/(-3795). Let d(w) be the third derivative of 0 + 0*w + 1/30*w**6 - 40*w**2 + 2/5*w**5 - u*w**3 - 1/6*w**4. Factor d(y).
4*(y - 1)*(y + 1)*(y + 6)
Factor -108 + 264/5*k + 3/5*k**2.
3*(k - 2)*(k + 90)/5
Suppose 0 = -2840*p + 2877*p - 148. Determine l so that 1/3*l**2 + 0 + 0*l - 1/2*l**3 + 1/6*l**p = 0.
0, 1, 2
Let g(m) = 20*m**3 - 65*m**2 - 20*m + 60. Let k(a) = 11*a**3 - 32*a**2 - 11*a + 29. Let z(b) = 3*g(b) - 5*k(b). Factor z(w).
5*(w - 7)*(w - 1)*(w + 1)
Let w be 123 + 124 - (10 + 1). Suppose 0 = -12*c - 200 + w. Determine s so that 6/7*s**4 + 12/7 - 3/7*s - 36/7*s**2 - 15/7*s**c = 0.
-1, 1/2, 4
Let q(i) = 5*i - 61. Let l be q(12). Let a be 2 + (-16)/40 + l + 1. Factor 2*s**2 + a - 1/5*s**3 - 17/5*s.
-(s - 8)*(s - 1)**2/5
Suppose 23*f**3 - 95*f**4 + 852*f**5 + 400*f**2 - 80 - 777*f**5 - 323*f**3 = 0. What is f?
-2, -2/5, 2/3, 1, 2
Let h = 458 - 448. Suppose 5*x**5 + 4*x**3 + h*x**4 - 6*x - 3*x**5 - 4*x**2 - 4*x**2 - 2*x**4 = 0. What is x?
-3, -1, 0, 1
Let h(q) = 15*q - 22. Let m be h(2). Find s such that 27*s**2 + 3*s**4 - 4*s + 991*s**3 - 1009*s**3 - m*s = 0.
0, 1, 4
Let x(p) be the third derivative of -2 - 93*p**2 + 1/40*p**6 + 0*p - 9/20*p**5 + 0*p**3 - 5/4*p**4. Factor x(j).
3*j*(j - 10)*(j + 1)
Let a = 3967 + -3965. Let o(x) be the first derivative of 16 - x**3 + 0*x + 0*x**a - 3/5*x**5 - 3/2*x**4. Determine z so that o(z) = 0.
-1, 0
What is m in -26/7*m + 2/7*m**4 - 6/7*m**2 + 20/7 + 10/7*m**3 = 0?
-5, -2, 1
Let q(m) be the second derivative of 0 + 33/7*m**2 - 9/14*m**3 - 1/28*m**4 + 85*m. Factor q(y).
-3*(y - 2)*(y + 11)/7
Let 72*u**2 - 1575/2*u - 3/2*u**3 - 1875 = 0. Calculate u.
-2, 25
Factor -72/5*y**2 - 16/5*y + 288/5 + 4/5*y**3.
4*(y - 18)*(y - 2)*(y + 2)/5
Suppose -5*n - 303 = 292. Let c = n - -121. Determine q so that 2/3*q**c - 2/3 + 0*q = 0.
-1, 1
Suppose -336 = -4*z - 2*k, -k = -z + k + 79. Let o = z - 45. Find l such that 2*l**5 - 21*l**4 + o*l**5 - 79*l**4 + 15*l**2 + 5*l - 50*l**2 + 90*l**3 = 0.
0, 1/2, 1
Let r(k) be the third derivative of k**6/90 + k**5/6 - k**4 + 128*k**3/3 - 246*k**2. Let p(f) be the first derivative of r(f). Factor p(q).
4*(q - 1)*(q + 6)
Let b(c) be the first derivative of 24/7*c**2 + 4 - 60/7*c - 1/7*c**3 - 3/28*c**4. Solve b(i) = 0 for i.
-5, 2
Let m(q) be the sec