 + 49*v**6/180 - 7*v**5/12 - 17*v**4/12 + 2*v**3 - 50. Let q(o) be the third derivative of l(o). Factor q(d).
2*(d - 1)*(d + 17)*(3*d + 1)
Suppose 0 = 7*o + 525 - 651. Let j be ((-6)/o)/(18/(-108)). Suppose 0 + 14/3*b**3 + 1/3*b**4 + 49/3*b**j + 0*b = 0. What is b?
-7, 0
Let j(t) be the first derivative of -4/3*t**3 - 2*t + 57 + 3*t**2. Factor j(p).
-2*(p - 1)*(2*p - 1)
Suppose -3*s - 3*c = -45, 0*s + 3*s - 39 = 3*c. Find t, given that -42*t + 6 + s*t + 5 + 2*t**2 - 11 = 0.
0, 14
Let f(o) = -10*o**2 + 10*o - 5. Let g = 2451 - 2447. Let j(z) = z + 4 - 11*z + 9*z**2 - z. Let m(p) = g*f(p) + 5*j(p). Factor m(d).
5*d*(d - 3)
Let n(a) be the second derivative of 2*a**7/21 - 4*a**6/3 + 21*a**5/5 - 893*a. Factor n(m).
4*m**3*(m - 7)*(m - 3)
Let a(y) be the first derivative of -y**5/100 + 61*y**4/20 - 3721*y**3/10 - y**2/2 - 115*y - 261. Let s(n) be the second derivative of a(n). Factor s(h).
-3*(h - 61)**2/5
Let t = -997 - -581. Let f be (4 + t/117)*18/2. Let 28/9*w - f*w**2 - 8/9 + 20/9*w**3 - 4/9*w**4 = 0. What is w?
1, 2
Let z = -418043/20 - -20905. Let w(r) be the second derivative of -1 + 3/10*r**6 + z*r**5 + 11*r - 32*r**3 + 5/2*r**4 + 48*r**2. Factor w(i).
3*(i - 1)*(i + 4)**2*(3*i - 2)
Determine v so that 2*v**3 + 0 - 1/5*v**5 + 0*v + 9/5*v**4 + 0*v**2 = 0.
-1, 0, 10
Let d be (-99)/(53 - (26 + 38)). Solve -3/2*f**4 - 3/2*f**3 + d*f**2 + 6*f - 12 = 0 for f.
-2, 1, 2
Find d such that 4/7*d**2 - 2484/7*d + 0 = 0.
0, 621
Let w(k) be the first derivative of -1/14*k**4 + 149 + 38/7*k + 2*k**3 - 39/7*k**2. Factor w(d).
-2*(d - 19)*(d - 1)**2/7
Suppose -2*a + 2*h + 1880 = 0, 2*a + 44*h - 1886 = 40*h. What is j in -a*j**2 + 5*j**5 + 10*j**4 + 1755*j - 25*j**5 + 205*j**3 - 540 - 105*j**4 + 2516*j**2 = 0?
-3, 1/4, 4
Suppose 3*j - 208*s + 206*s = -8, -2*s = 4*j - 22. Let g(h) be the first derivative of 0*h**2 - 26 + j*h - 1/6*h**3. Let g(y) = 0. Calculate y.
-2, 2
Let g(p) = 2*p**2 - 3400*p + 1455246. Let s(y) = -2*y**2 + 3403*y - 1455239. Let k(u) = -3*g(u) - 4*s(u). Suppose k(z) = 0. What is z?
853
Let j(c) be the third derivative of -c**9/12096 + c**7/144 + c**6/24 - 4*c**5/15 + c**3/3 - 35*c**2 + 1. Let h(f) be the third derivative of j(f). Factor h(g).
-5*(g - 3)*(g + 1)*(g + 2)
Suppose -188*a + 199*a - 308 = 0. Let t be (-1 - 4/(-2))/(77/a). Factor 0 - t*h**3 + 0*h**2 + 2/11*h + 0*h**4 + 2/11*h**5.
2*h*(h - 1)**2*(h + 1)**2/11
Let v be ((-6)/(-5))/((-3)/20). Let o be 6/v*(-136)/51. Factor 8*y - 4 + 12*y**o - 2 + 4*y**3 + 6.
4*y*(y + 1)*(y + 2)
Suppose 1/2*h**2 + 285/2*h - 143 = 0. Calculate h.
-286, 1
Let i(x) be the first derivative of x**4/34 - 14*x**3/51 + 14*x**2/17 - 16*x/17 + 1804. Suppose i(w) = 0. Calculate w.
1, 2, 4
Let k(m) = 4*m**2 - 24*m + 24. Let l(q) = -4*q**2 + 23*q - 24. Suppose -3*i + 3*a - 16 = -a, 0 = 4*i + 2*a + 14. Let y(f) = i*l(f) - 5*k(f). Factor y(d).
-4*(d - 6)*(d - 1)
Let l = -1001045 - -1001048. Solve 23/3*m - 1/3*m**l + 8/3*m**2 - 10 = 0.
-3, 1, 10
Suppose 37*t - 51 = 34*t. Factor -2*q**4 + 4*q**3 + 11*q**3 + 7*q**4 + t*q - 37*q.
5*q*(q - 1)*(q + 2)**2
Factor -3/2*u**3 - 4050*u + 159*u**2 - 8748.
-3*(u - 54)**2*(u + 2)/2
Factor -2/11*d**3 + 0 - 12400200/11*d + 9960/11*d**2.
-2*d*(d - 2490)**2/11
Determine u, given that 955476/19*u**4 - 1458/19*u**5 - 156220056/19*u**3 - 23227648/19*u - 1721344/19 - 104429968/19*u**2 = 0.
-2/9, 328
Let x(f) be the first derivative of -4*f**3/3 + 78*f**2 + 504*f - 832. Factor x(o).
-4*(o - 42)*(o + 3)
Suppose 43*l - 28 = 39*l + 4*z, -l - 5*z = 11. Factor 4192 - 3*s - l*s**2 - 4196 - 5*s.
-4*(s + 1)**2
Let p(r) be the second derivative of -r**9/2016 - r**8/280 - r**7/140 - 67*r**3/6 - r - 29. Let k(u) be the second derivative of p(u). Factor k(b).
-3*b**3*(b + 2)**2/2
Let c(z) be the second derivative of 1/6*z**3 - 45*z + 5/2*z**2 + 0 + 1/120*z**6 + 1/40*z**5 - 5/16*z**4. Determine q so that c(q) = 0.
-5, -1, 2
Suppose 5*x + 50*i - 51*i = 10, -3*i = -2*x + 4. Let v = -5 + 10. Let 38 + m**v + x*m**2 - 2*m**4 - 38 - m = 0. Calculate m.
-1, 0, 1
Let q(i) = i**3 + 11*i**2 + 9*i + 37. Let h be q(-10). Solve -5*o**3 + o**3 - 2*o**2 - 44*o + 2 + o**5 + h*o = 0 for o.
-1, 1, 2
Factor 2/5*r**3 - 52/5*r**2 + 184/5*r - 176/5.
2*(r - 22)*(r - 2)**2/5
Let n be -11 + (4324/(-1692) - (-2 - 12)). Let -n*u**2 + 8/3 + 4/9*u = 0. What is u?
-2, 3
Let r = 67 - 88. Let y be -6 - 133/r - -1. Factor 2/3 - 1/6*f**3 + 5/6*f**2 - y*f.
-(f - 2)**2*(f - 1)/6
Let s = 61 + -48. Suppose -4*h = 5 - s. Factor 3*l**2 - 2*l - 8*l**h + l**2 - 2*l**3.
-2*l*(l + 1)**2
Let n = -43376 - -43378. Factor 2/7*x**n + 200/7 - 40/7*x.
2*(x - 10)**2/7
Let c = 291222 + -291219. Factor 0*b - 49/2*b**c - 6*b**2 + 0 - 2*b**4.
-b**2*(b + 12)*(4*b + 1)/2
Let f be -16 - 0 - (-909696)/7416. Factor -f*p + 95*p**2 + 100/3 - 15*p**3.
-5*(p - 5)*(3*p - 2)**2/3
Let u(y) be the first derivative of -2/27*y**3 - 47/9*y**2 - 92/9*y + 200. Factor u(h).
-2*(h + 1)*(h + 46)/9
Let j(x) = -3*x**2 + 848*x - 6. Let t(o) = -9*o**2 + 1694*o - 15. Let r(l) = 5*j(l) - 2*t(l). Factor r(f).
3*f*(f + 284)
Let d(h) = 134*h**3 - 1146*h**2 + 2326*h + 6. Let j(m) = 425*m**3 - 3437*m**2 + 6979*m + 19. Let b(p) = -19*d(p) + 6*j(p). Determine f, given that b(f) = 0.
-290, 0, 2
Let n be -17 + (54 - 26) + -11. Determine m, given that 0*m + n + 9/2*m**3 + 3/2*m**4 + 3*m**2 = 0.
-2, -1, 0
Let r(q) = q + 2. Let b(m) = -8*m**3 - 4*m**2 + 205*m - 342. Let k(p) = b(p) + 3*r(p). Factor k(n).
-4*(n - 2)*(n + 6)*(2*n - 7)
Suppose -13080/7*s - 116/7*s**4 + 2/7*s**5 + 4448/7*s**2 + 1546/7*s**3 + 7200/7 = 0. What is s?
-4, 1, 30
Let y(j) be the second derivative of 2*j**6/15 - j**5/5 - 2*j**4 + 540*j + 2. Suppose y(g) = 0. What is g?
-2, 0, 3
Let l(t) be the second derivative of 9*t**5/140 + 335*t**4/28 - 57*t**3/7 - 48*t**2 - 5*t + 801. Let l(d) = 0. Calculate d.
-112, -2/3, 1
Let k = -436069/20 - -109036/5. Factor -5*r + 5*r**3 - 5 + 5/4*r**4 + k*r**2.
5*(r - 1)*(r + 1)*(r + 2)**2/4
Let p(q) be the third derivative of -5*q**8/1176 - 43*q**7/735 - 67*q**6/420 + 79*q**5/210 + 6*q**4/7 - 12*q**3/7 - 40*q**2. Let p(y) = 0. What is y?
-6, -3, -1, 2/5, 1
Let s be 203/(-58) + (-150)/(-36). Let a(w) be the first derivative of 1/6*w**4 + w**2 - s*w - 2/3*w**3 - 15. Find j such that a(j) = 0.
1
Let l(h) be the first derivative of -40 + 12*h + 1/4*h**4 - 7/3*h**3 + 2*h**2. Factor l(q).
(q - 6)*(q - 2)*(q + 1)
Suppose -195 = 2*m - 7*m. Suppose -b - 3*b = -20, -m = -4*z - 3*b. Let -z*s**2 - 4*s**3 - 5*s**3 - 8*s**4 + 5*s**4 = 0. Calculate s.
-2, -1, 0
Let c = -11715/4 - -128881/44. Find b such that 0*b + 0 + c*b**2 + 5/11*b**4 + 1/11*b**5 + 8/11*b**3 = 0.
-2, -1, 0
Factor 46/9*x**2 + 0 - 8/3*x - 2/9*x**4 - 20/9*x**3.
-2*x*(x - 1)**2*(x + 12)/9
Determine h, given that -1314/7*h - 2/7*h**2 + 2636/7 = 0.
-659, 2
Determine p, given that -7*p + 33 + 1/4*p**2 = 0.
6, 22
Let s(u) be the second derivative of -u**4/3 + 40*u**3 - 232*u**2 + 1952*u. Suppose s(w) = 0. Calculate w.
2, 58
Let c(v) = v**3 + 3*v**2 + 19*v + 97. Let d be c(-4). Factor -12*z**3 - 14*z**3 - 14*z**3 + d*z**4 + 19*z**2 + 60*z**3 + z**2.
5*z**2*(z + 2)**2
Let l = -626 + 628. Let n(a) be the third derivative of -1/40*a**6 - 1/420*a**7 + 0 + 0*a**3 + 4*a**l + 0*a - 1/10*a**5 - 1/6*a**4. What is x in n(x) = 0?
-2, 0
Let k(f) be the first derivative of 2*f**6/3 - 292*f**5/5 + 1216*f**4 + 5776*f**3 - 13320. Factor k(q).
4*q**2*(q - 38)**2*(q + 3)
Let p be (5/(-405))/(4*(-13)/234). Let h(f) be the second derivative of -1/18*f**3 - 37*f + p*f**4 - 1/60*f**5 + 0*f**2 + 0. Find j, given that h(j) = 0.
0, 1
Let g be -6 + (-14 - (-456)/27) - -16. Determine d, given that -g*d - 1682/9 - 2/9*d**2 = 0.
-29
What is q in 4 + 4190325*q**2 + 2603844*q**2 - 16880*q + 3290340*q**2 + 7812272*q**2 - 88381*q**2 = 0?
1/2110
Let x be 9/63 - (18/(-45))/((-252)/(-225)). Factor x*m**4 + 20*m - 31/4*m**3 + 111/4*m**2 - 16.
(m - 8)**2*(m + 1)*(2*m - 1)/4
Let k(w) be the first derivative of w**6/10 + 3*w**5/4 - 30*w + 61. Let n(f) be the first derivative of k(f). Determine m so that n(m) = 0.
-5, 0
Let w = -130 + 165. Let k(l) = 85*l**3 - 2940*l**2 + 24480*l + 27540. Let m(j) = -5*j**3 + 173*j**2 - 1440*j - 1620. Let z(d) = w*m(d) + 2*k(d). Factor z(a).
-5*(a - 18)**2*(a + 1)
Let w(i) be the first derivative of -i**5/60 + i**4/2 - 10*i**3/3 - 7*i**2 + 2*i + 133