 0. What is y?
0, 1, 2, 6
Let p(d) be the second derivative of -5*d**4/12 + 2150*d**3/3 - 462250*d**2 + 1961*d. Factor p(w).
-5*(w - 430)**2
Let p(x) be the second derivative of -400/3*x**3 - 62 + 2*x - 90*x**2 + 15/4*x**4. Let p(k) = 0. Calculate k.
-2/9, 18
Let y(g) = g**2 + 2*g - 99. Let s be 1 + -15 + (-7 - -4)/(-1). Let i be y(s). Determine d, given that i + 4/9*d + 2/3*d**2 = 0.
-2/3, 0
Let k(n) = -8*n**2 + 11*n + 8. Let r(u) = -3*u**2 + 4*u + 3. Let l(y) = 4*k(y) - 11*r(y). Let q(t) = 7*t**2 + t - 6. Let f(v) = 6*l(v) - q(v). Factor f(g).
-g*(g + 1)
Let w(n) be the first derivative of 47 - n - 1/4*n**2 + 1/6*n**3. Suppose w(p) = 0. Calculate p.
-1, 2
Solve 10*x**4 + 353*x**3 - 358*x**2 + 378*x**2 + 4*x - 324*x**3 = 0.
-2, -1/2, -2/5, 0
Let i = 465 - 457. Let w be (-68)/(-357)*12/i. Suppose w*y**2 + 4/7*y + 2/7 = 0. Calculate y.
-1
Let w(g) be the first derivative of -6 + 5/21*g**3 + 6/7*g**2 - 18*g - 1/70*g**5 - 1/21*g**4. Let i(p) be the first derivative of w(p). Factor i(t).
-2*(t - 2)*(t + 1)*(t + 3)/7
Let n(l) be the third derivative of -1/180*l**5 + 1/36*l**4 - l**2 - 5*l + 1/6*l**3 + 0. Suppose n(a) = 0. Calculate a.
-1, 3
Let q(w) be the third derivative of 27*w**8/35 - 1404*w**7/175 + 1737*w**6/50 - 817*w**5/10 + 115*w**4 - 100*w**3 + 2495*w**2. What is j in q(j) = 0?
5/6, 2
Let i(f) be the third derivative of f**7/3024 + f**6/288 - f**5/8 + 5*f**4/8 + 37*f**2. Let b(v) be the second derivative of i(v). Factor b(j).
5*(j - 3)*(j + 6)/6
Let x be -4*(-81)/18 + (1 - 17). Determine v so that 0 - 3/7*v - 12/7*v**x - 9/7*v**3 = 0.
-1, -1/3, 0
Let v(g) be the third derivative of g**6/200 - 27*g**5/100 + 3*g**4/5 + 26*g**3/5 + 147*g**2. Factor v(b).
3*(b - 26)*(b - 2)*(b + 1)/5
Let h(c) = -c**3 - 22*c**2 + c + 15. Let o be h(-22). Let t be (-1 - 0)/((28/8)/o). What is n in -1/2 - n - 1/2*n**t = 0?
-1
Let q(o) = 3*o**2 + 4084*o + 832320. Let a(b) = -2*b**2 - 4086*b - 832320. Let h(w) = 2*a(w) + 3*q(w). Find t, given that h(t) = 0.
-408
Determine h so that -130/3 - 47/6*h + 1/6*h**2 = 0.
-5, 52
Let r be (3 - 30)/((45/9)/(-5)). Determine k so that -6*k**2 - r*k**4 + 27 + 81*k - 7*k**5 + 4*k**5 - 36*k + 6*k**4 - 42*k**3 = 0.
-3, -1, 1
Let q(z) be the first derivative of z**4/26 + 14*z**3/13 - 22*z**2/13 - 4310. Solve q(p) = 0 for p.
-22, 0, 1
Let s(t) = t**3 + t**2 + t + 1. Let p(q) = 7*q**4 - 24*q**3 + 22*q**2 + 10*q + 2. Let n = 269 + -271. Let i(y) = n*s(y) + p(y). Solve i(j) = 0.
-2/7, 0, 2
Suppose 44*s + 432 = 68*s. Determine v, given that -8*v - 11 + s*v**2 + 2*v**3 - 3*v**3 + 5*v + 4*v - 7 = 0.
-1, 1, 18
Let j(k) = 4410*k**2 + 1685*k + 155. Let u(w) be the first derivative of -2205*w**3 - 2527*w**2/2 - 233*w + 96. Let m(q) = -7*j(q) - 5*u(q). Factor m(h).
5*(21*h + 4)**2
What is k in 15 - 4/3*k - 1/3*k**2 = 0?
-9, 5
Let b(u) be the first derivative of 1/50*u**5 + 7*u - 1/5*u**3 + 0*u**2 + 23 - 1/15*u**4. Let s(m) be the first derivative of b(m). Factor s(d).
2*d*(d - 3)*(d + 1)/5
Let r(y) = 8*y**4 - 291*y**3 + 568*y**2 - 285*y - 5. Let j(g) = 9*g**4 - 291*g**3 + 567*g**2 - 285*g - 6. Let s(x) = 5*j(x) - 6*r(x). Let s(k) = 0. What is k?
0, 1, 95
Let h(g) be the second derivative of -g**7/21 + 14*g**6/15 - 43*g**5/10 + 13*g**4/3 + 44*g**3/3 - 40*g**2 - 3*g + 72. Let h(l) = 0. What is l?
-1, 1, 2, 10
Let p be 40/312*13*18/10. Let r(l) be the first derivative of -l + l**2 - 1/3*l**3 + p. Factor r(g).
-(g - 1)**2
Suppose -4*j - 2*f - 54 = 0, 41 = -4*j - 6*f - 25. Let t be 7/(-28) - 3/j. Determine a so that -2/7*a**2 - 2/7*a + t = 0.
-1, 0
Let t(x) be the second derivative of -x**4/144 - 875*x**3/12 - 2296875*x**2/8 + 10*x + 3. Factor t(f).
-(f + 2625)**2/12
Suppose -5*g = 4*i - 61, 0 = i + 3*g + 2*g - 19. Solve -i*k**2 + 0*k**3 - 6*k**2 - 34*k**3 + 35*k**4 + 9*k**3 + 10*k**5 = 0.
-4, -1/2, 0, 1
Let d be (-1 - (1 + (6 - 7))) + 3. Determine y, given that -37 + 52 + d*y**2 + 0*y**2 - 128*y - 1039 - 6*y**2 = 0.
-16
Let b(k) be the third derivative of k**5/330 + 602*k**4/33 + 1449616*k**3/33 + 4701*k**2. Factor b(a).
2*(a + 1204)**2/11
Let i be (5 - 4)*1*12/3. Suppose 2 - 22 = -i*z. Let -6*k**3 + 12*k**z + 2*k**2 - 10*k**5 + k**2 + k**2 = 0. Calculate k.
-2, 0, 1
Let n = 4223848/5 + -844769. Solve -n*x**2 - 8/5*x - 4/5 = 0.
-2, -2/3
Let -3*j**3 + 1777 + 100*j**2 + 40*j - j**3 + 0*j**3 - 128*j - 1969 = 0. Calculate j.
-1, 2, 24
Let z(m) be the first derivative of -14*m**2 + 0*m - 131 - 4/3*m**3. Find l such that z(l) = 0.
-7, 0
What is t in 40 - 52/3*t + 4/3*t**2 = 0?
3, 10
Let i(d) be the third derivative of 0 + 1/10*d**5 - 1/1155*d**7 + 0*d**3 + 17/132*d**4 + 0*d - 15*d**2 + 1/44*d**6. Factor i(y).
-2*y*(y - 17)*(y + 1)**2/11
Let b(c) be the third derivative of -5*c**8/1344 + c**7/84 + c**6/18 + 125*c**4/24 - 68*c**2. Let o(a) be the second derivative of b(a). Factor o(p).
-5*p*(p - 2)*(5*p + 4)
Find z, given that 343 - 4*z**2 + 2*z**3 - 16*z**2 - 383 + 58*z = 0.
1, 4, 5
Let j(y) be the first derivative of -y**7/210 - 17*y**6/480 - y**5/12 - y**4/24 - y**2/2 - 8*y - 50. Let b(i) be the second derivative of j(i). Factor b(a).
-a*(a + 2)**2*(4*a + 1)/4
Let g(p) be the third derivative of 10 - 2*p**2 - 45/64*p**4 + 1/560*p**7 - 25/8*p**3 + 13/160*p**5 + 9/320*p**6 + 0*p. Suppose g(y) = 0. Calculate y.
-5, -1, 2
Let r(d) be the third derivative of -7/60*d**6 + 7/6*d**3 + 1/120*d**5 - 1/28*d**7 - d**2 - 1/1344*d**8 + 19/32*d**4 + 0*d + 1. Factor r(t).
-(t - 1)*(t + 1)**3*(t + 28)/4
Let u = 234 - 232. Determine h so that -14*h**2 + 16*h**2 - 3*h**3 - 3*h**2 + 58*h**u = 0.
0, 19
Let m be (10 - 11)*4 + (-74)/(-18). Let v(p) be the first derivative of 1/3*p - 1/3*p**2 + m*p**3 + 10. Solve v(c) = 0.
1
Let j(k) be the second derivative of 8*k + 1/5*k**4 - 1/25*k**5 + 0*k**3 + 0*k**2 + 4. Factor j(h).
-4*h**2*(h - 3)/5
Let n(g) be the first derivative of g**4/72 + 35*g**3/36 - 3*g**2 - 142*g + 41. Let t(c) be the first derivative of n(c). Determine d, given that t(d) = 0.
-36, 1
Let o(h) be the first derivative of -h**6/21 + 64*h**5/35 + h**4/14 - 64*h**3/21 - 1086. Determine n so that o(n) = 0.
-1, 0, 1, 32
Let y be (175/(-5))/7 + -365. Let c = 741/2 + y. Factor 1/2*f - c*f**2 + 0.
-f*(f - 1)/2
Let b(t) be the first derivative of 0*t**2 - 179 + 4/13*t**5 - 9/26*t**4 + 0*t + 4/39*t**3. Suppose b(r) = 0. Calculate r.
0, 2/5, 1/2
Suppose 40*s**4 + 0*s + 116/3*s**2 - 2/3*s**5 - 78*s**3 + 0 = 0. What is s?
0, 1, 58
Let w be (4 + -4 - -995) + -5. Let h = -990 + w. Factor h + 0*c + 3/2*c**5 + 0*c**4 - 3/2*c**3 + 0*c**2.
3*c**3*(c - 1)*(c + 1)/2
Let b(g) = g**2 + 2*g + 1. Let d(s) = -8*s**2 - 120*s + 80. Let m(k) = -k**3 - 4*k**2 - 8*k - 7. Let i be m(-2). Let c(w) = i*d(w) + 12*b(w). Solve c(p) = 0.
1, 23
Suppose -14*k = 3*k - 13192. Determine l so that 5*l**2 + k - 94 - 77 - 110*l = 0.
11
Find n, given that 426*n**2 - 51118*n + 25563*n + 3*n**3 + 25555*n = 0.
-142, 0
Suppose 78 = -3*k - 14*t, -2 = -2*k + 7*k + 2*t. Factor 3/2*d**k + 37/2*d - 13.
(d + 13)*(3*d - 2)/2
Factor 438*w**5 + 8*w**2 - 27*w**3 + 15*w**2 + 31*w**2 - 6*w**4 - 435*w**5.
3*w**2*(w - 3)*(w - 2)*(w + 3)
Let k(l) be the second derivative of l**7/147 + 2*l**6/105 - l**5/10 - 4*l**4/21 + 4*l**3/7 + 4874*l. Determine j, given that k(j) = 0.
-3, -2, 0, 1, 2
Let o(i) be the first derivative of 3*i**5/20 + 105*i**4/4 + 683*i**3/4 + 813*i**2/2 + 405*i - 11298. Determine x, given that o(x) = 0.
-135, -2, -1
Factor -4294 - 11*g**4 + 13*g**4 + 126*g**3 - 664*g**2 + 1080*g + 3750.
2*(g - 2)**2*(g - 1)*(g + 68)
Let a be (51/(-2))/17*(-9)/6. Let v(q) be the first derivative of 20 + 0*q**2 + 2*q**3 - 3/2*q**6 + 0*q - a*q**4 - 24/5*q**5. Determine o so that v(o) = 0.
-2, -1, 0, 1/3
Let n(j) = -2*j**3 - 5*j**2 + 2*j - 7. Let d be n(-4). Let 1912*p**5 + 33*p**2 - 12 - 60*p**3 - 3830*p**5 + d*p**4 + 1912*p**5 + 12*p = 0. What is p?
-1/2, 1, 2
Let t = -326/41 + 3914/451. Factor 2/11*l**2 + 6/11 - t*l.
2*(l - 3)*(l - 1)/11
Let n(p) be the second derivative of 3*p**5/70 - 17*p**4/28 - 113*p**3/14 - 78*p**2/7 - 2343*p. Factor n(z).
3*(z - 13)*(z + 4)*(2*z + 1)/7
Let d be 1*(-16)/20*(-4 - 19/(-6)). Let r(w) be the first derivative of 50 + 16/5*w - 18/5*w**2 - d*w**3. Let r(o) = 0. What is o?
-4, 2/5
Let j(n) = 4*n**2 - 3*n + 6*n**2 + 9*n**2 - 1 - 18*n**2. Let a be j(-1). Factor 1/4*s**2 - 1/4*s**4 + 1/4*s**a +