w?
-3, -2, 19
Factor 52 + 13*m**2 - 388 + 208*m + 13*m**2 - 156*m - 2*m**3.
-2*(m - 14)*(m - 3)*(m + 4)
Let z(n) be the third derivative of n**6/240 - n**5/10 + n**4 - 17*n**3 + 2*n**2 + 13*n. Let g(c) be the first derivative of z(c). Find y such that g(y) = 0.
4
Let k(w) be the third derivative of -47*w**6/240 + w**5/60 + 47*w**4/12 - 2*w**3/3 + 39*w**2 + w + 1. Suppose k(z) = 0. What is z?
-2, 2/47, 2
Let b(z) be the second derivative of -z**7/21 - 5*z**6/3 - 9*z**5 - 65*z**4/3 - 85*z**3/3 - 21*z**2 + 1833*z. Let b(d) = 0. What is d?
-21, -1
Solve -108/7*p + 36/7*p**2 + 108/7 - 4/7*p**3 = 0 for p.
3
Suppose 16 - 33*q - 6*q**4 - 475*q**3 + 465*q**3 + 20*q**2 + 73*q = 0. What is q?
-2, -1, -2/3, 2
What is s in -192/5 + 32/5*s**2 + 52/5*s**3 + 4/5*s**4 - 208/5*s = 0?
-12, -2, -1, 2
Find a such that -161/10*a**2 - 219/10*a - 11/2 + 3/10*a**3 = 0.
-1, -1/3, 55
Let v(m) be the first derivative of -m**5/360 - m**4/36 + 5*m**3/36 - 3*m**2/2 - 6*m - 47. Let f(q) be the second derivative of v(q). Factor f(g).
-(g - 1)*(g + 5)/6
Determine x so that 48*x**2 - 428*x**2 - 105*x - 9*x - 220*x**4 + 46*x**5 - 32*x**5 - 62*x + 762*x**3 = 0.
-2/7, 0, 1, 4, 11
Suppose -42 = -5*b - 4*y, 5*y - 12 = 3. Let a be 1*44/(-40) - b/(-4). Factor 2/5*k**2 + 2/5*k + 0 - 2/5*k**3 - a*k**4.
-2*k*(k - 1)*(k + 1)**2/5
Factor 243648432*l**2 + 31799553491742*l**4 + 182979972432*l**3 + 16 + 144192*l + 16 + 5021888389655*l**4 + 14710292854765*l**4.
2*(2253*l + 2)**4
Let r(b) be the second derivative of b**5/4 - 55*b**4/6 + 455*b**3/6 - 255*b**2 + 2*b + 1815. Suppose r(y) = 0. Calculate y.
2, 3, 17
Suppose 0 = -6*l - 32 - 100. Let r = l - -24. Let n(j) = -6*j**3 + 11*j**2. Let t(v) = -2*v**3 + 4*v**2. Let d(x) = r*n(x) - 7*t(x). Factor d(z).
2*z**2*(z - 3)
Let b be (-6 - 1) + (-1 - 4). Let p be 8/48 - 70/b. Find l such that -l**4 + p*l**4 - 10*l - 16*l**3 - 15*l**2 + 16*l**3 = 0.
-1, 0, 2
Solve 11030*i + 373*i**2 + 24*i**3 - 3132 - 14528*i - 6*i**4 - 5580 + 116*i**2 + 3*i**4 = 0.
-12, -2, 11
Let x(y) = -3*y**3 - 94*y**2 - 351*y - 4289. Let b be x(-29). Factor -50/9*l**2 + 0*l + 0 - 2/9*l**b.
-2*l**2*(l + 25)/9
Factor -1138*a - 70*a**3 - 92*a**3 + 756 + 228*a**3 - 68*a**3 + 384*a**2.
-2*(a - 189)*(a - 2)*(a - 1)
Let r(q) = -q**3 + 4*q**2 + 29. Let h be r(5). What is i in h*i**3 - 97 - 2*i**2 + 81 - 2*i**3 - 20*i = 0?
-2, -1, 4
Suppose 5*z = -a + 482, 0 = 4*z + 2*a + 2*a - 392. Factor 318*d + 450*d - 475 - z*d**2 - 1573 + 4*d**3.
4*(d - 8)**3
Let s be ((-9177)/(2 - -5))/(-1). Suppose 1316*z = s*z. Solve -4/3*w**4 - 2/3*w**2 + 0*w - 5/3*w**3 + z - 1/3*w**5 = 0.
-2, -1, 0
Let s(t) be the second derivative of 12*t + 0 + 1/4*t**4 - 7/6*t**3 + t**2. Let n(p) = -p**2 + p - 1. Let l(h) = -12*n(h) - 3*s(h). Let l(q) = 0. What is q?
-2, -1
Let p(s) be the first derivative of -s**5/160 - 7*s**4/96 + 7*s**3/12 - 5*s**2/4 + 54*s + 111. Let g(j) be the first derivative of p(j). Factor g(f).
-(f - 2)*(f - 1)*(f + 10)/8
Let x be (8 + -4)*(-27)/48. Let s = x - -11/4. Factor s*v**3 + 1 + 2*v**2 + 5/2*v.
(v + 1)**2*(v + 2)/2
Let o(d) be the third derivative of -2*d**7/315 - 11*d**6/90 + 5*d**5/9 - 13*d**4/18 - 4382*d**2. What is s in o(s) = 0?
-13, 0, 1
Suppose 1065758 - 5904*p + 1081058 + 4*p**2 + 31760 = 0. What is p?
738
Let u(a) be the second derivative of a**4/42 + 349*a**3/7 + 34*a + 98. Factor u(l).
2*l*(l + 1047)/7
Suppose -3*i + 41 + 328 = 0. Let 121*j**5 + j**4 + 6*j**3 + i*j**5 - 245*j**5 = 0. Calculate j.
-2, 0, 3
Determine p, given that 740772 - 1/2*p**3 - 19494*p + 171*p**2 = 0.
114
Let p(m) = 8*m**3 - 1180*m**2 + 768*m + 392. Let q(h) = -33*h**3 + 4718*h**2 - 3073*h - 1567. Let g(a) = -15*p(a) - 4*q(a). Factor g(d).
4*(d - 97)*(d - 1)*(3*d + 1)
What is x in -1303 + 62*x + x**2 + 324 + 231 + 413 = 0?
-67, 5
Let i(m) be the first derivative of -m**7/1680 - m**6/144 + 2*m**3/3 - 11*m**2/2 + 24. Let g(r) be the third derivative of i(r). Find p, given that g(p) = 0.
-5, 0
Factor 9/5*u**5 - 48/5*u**4 + 0*u**2 + 0 + 0*u + 3*u**3.
3*u**3*(u - 5)*(3*u - 1)/5
Factor -78/11*v - 1484/11 + 2/11*v**2.
2*(v - 53)*(v + 14)/11
Suppose 2*y = -2*n - 0*y + 8, 2 = -4*n + 5*y. Suppose n*d**4 + 29*d**3 - 4*d + 0*d**2 - 6*d**2 - 29*d**3 = 0. Calculate d.
-1, 0, 2
Let x(z) be the first derivative of -3*z**5/40 - 3*z**4/8 + 127*z**3/8 + 591*z**2/8 + 99*z + 3489. Solve x(h) = 0.
-12, -2, -1, 11
Let z be (8*(-5)/(-40))/1. Let g be 5 + ((-252)/77 - z). Factor g*p**4 + 4/11*p**2 + 0 - 10/11*p**3 - 2/11*p**5 + 0*p.
-2*p**2*(p - 2)*(p - 1)**2/11
Let n(h) be the first derivative of 16/3*h - 1/12*h**4 + 2*h**3 - 11/2*h**2 + 12. Let n(x) = 0. Calculate x.
1, 16
Let w(y) be the third derivative of -1/320*y**6 + 0*y + 0*y**5 + 4*y**2 + 0 + 1/16*y**4 + 0*y**3. Suppose w(p) = 0. Calculate p.
-2, 0, 2
Suppose -2*i = 3*u, -i - 10*u = -8*u + 1. Let v(r) be the first derivative of 9 + 0*r**i - 4/5*r - 1/10*r**4 + 3/5*r**2. Let v(f) = 0. Calculate f.
-2, 1
Let g(j) be the third derivative of -11/6*j**3 - 1/60*j**5 + 30 + 0*j + 3*j**2 + 1/2*j**4. Determine d, given that g(d) = 0.
1, 11
Let o(s) = -s**4 - 69*s**3 + 66*s**2 + 64*s - 55. Let x(k) = -k**4 - 70*k**3 + 66*k**2 + 64*k - 53. Let w(d) = -6*o(d) + 5*x(d). What is r in w(r) = 0?
-65, -1, 1
Let j(m) = m**3 + 6*m**2 + 6*m + 14. Let h be j(-5). Solve 44*q + 120*q**2 - 4*q**3 + h*q**3 + 34*q + 37*q = 0 for q.
-23, -1, 0
Let u(x) = -39*x + 516. Let b be u(12). Let r be b/(-28) + 364/98. Let 32 + 1/2*l**r - 8*l = 0. What is l?
8
Let g(b) = 2*b**2 + 2684*b - 6. Let p(h) = -4*h**2 - 5364*h + 14. Let t(r) = 14*g(r) + 6*p(r). Determine y, given that t(y) = 0.
-1348, 0
Let -55*h**5 + 27*h**5 - 1989*h**2 + 33*h**5 - 630*h**3 - 1951*h**2 + 4127 + 30*h**4 + 5625*h + 4783 = 0. Calculate h.
-9, -1, 2, 11
Factor -2/11*v**3 + 432/11 + 36/11*v**2 + 270/11*v.
-2*(v - 24)*(v + 3)**2/11
Let w be 0/(-44)*(-3 + 21/6). Let b(o) be the third derivative of 0 + 2*o**2 + 0*o**3 + w*o + 1/24*o**6 + 0*o**4 + 1/6*o**5. Suppose b(q) = 0. What is q?
-2, 0
Let q(u) be the first derivative of u**6/4 + 11*u**5/10 - 281*u**4/4 + 353*u**3 + 1855*u**2/4 - 833*u/2 - 4637. Suppose q(k) = 0. What is k?
-17, -1, 1/3, 7
Let f(q) be the second derivative of -2*q**3/3 + 63*q**2 - q + 294. Let u be f(31). Find c, given that 5/8*c + 3/8 + 1/4*c**u = 0.
-3/2, -1
Suppose p - 429 = 5*u, 2*u = -2*p - 2*p + 1782. Let y = p + -442. Factor 10/13*w - 12/13 - 2/13*w**y.
-2*(w - 3)*(w - 2)/13
Let j = -117 + 116. Let s(h) = -9*h**4 + 3*h**3 + 33*h**2 + 24*h + 3. Let g(l) = l**4 + l**3 - l - 1. Let w(k) = j*s(k) + 3*g(k). Solve w(z) = 0 for z.
-1, -1/2, 2
Factor 8*j**2 - 1/2*j**5 + 8*j + 0*j**3 + 0 - 2*j**4.
-j*(j - 2)*(j + 2)**3/2
Let j(r) be the first derivative of r**4/10 + 91*r**3/5 - 137*r**2/10 + 5774. Factor j(x).
x*(x + 137)*(2*x - 1)/5
Let t be ((-12)/(-30) + (-15 - 90416/(-6160)))*(2 + 9). Factor 0*k - 15/7*k**3 - 12/7*k**4 + 0 - 3/7*k**5 - t*k**2.
-3*k**2*(k + 1)**2*(k + 2)/7
Factor -1807*c - 263*c**3 - 5*c**3 + 42592 + 6072*c**2 - 6554*c + 7800*c + 4*c**4 - 47839*c.
4*(c - 22)**3*(c - 1)
Let q be 100/(-75) - ((-16)/(-33) + -2). Let r = -1028 - -1032. Solve 2/11*o - q*o**2 - 6/11*o**r + 0 - 10/11*o**3 = 0.
-1, 0, 1/3
Let u(o) be the third derivative of 0 + 43*o**2 + 6*o**3 + 0*o - 2/5*o**5 - 2/315*o**7 + 0*o**4 - 4/45*o**6. Factor u(c).
-4*(c - 1)*(c + 3)**3/3
Let p = 2094 - 2094. Let j(l) be the first derivative of p*l + 10/3*l**3 + 11 - 2*l**5 - 15/4*l**4 + 0*l**2. Factor j(y).
-5*y**2*(y + 2)*(2*y - 1)
Let f(r) = 2*r**2 - 23*r + 50. Let k(n) = 6*n**2 - 70*n + 152. Let q be -3 + 7/(56/152). Let b(y) = q*f(y) - 5*k(y). Let b(l) = 0. Calculate l.
4, 5
Determine x, given that -680*x + 34/3*x**3 + 1/3*x**4 + 169/3*x**2 + 1200 = 0.
-20, 3
Let z(u) = u + 26. Let j(g) = -2*g**2 - 106*g - 300. Let f(t) = j(t) + 4*z(t). Determine x so that f(x) = 0.
-49, -2
Let u be 2 + 0/((-1)/(-1)). Let c(n) = 3*n + 6. Let t be c(u). Factor 7*y**2 - y**2 + 2*y**2 - 16*y**2 - t*y + 8.
-4*(y + 2)*(2*y - 1)
Let u be (17 - 1) + 140 + -153. What is q in 0 - 16/3*q**2 + 5/3*q**4 - 38/3*q**u + 0*q = 0?
-2/5, 0, 8
Let m(r) = -r**3 - 17*r**2 - 51*r - 10. Let c be m(-4). Let k be (6 - (-128)/c) + 48/6. Let 0*x + 0 - 4/7*x**2 - k*x**3 - 32/7*x**5 - 80/7*x**4 = 0. What is x?
-2, -1/4, 0
Suppose -5*n + 4 + 50 = 4*o, -70 = -5*o - 5*n. Find a, given that 