= -7/119177 - -2502752/595885. Determine n, given that -18/5 - o*n**3 + 3/5*n**4 + 21/5*n + 3*n**2 = 0.
-1, 1, 6
Let u(f) be the third derivative of -f**8/1848 + f**7/231 + 19*f**6/660 - 13*f**5/66 - 25*f**4/22 + 30*f**2 + 15*f - 1. Suppose u(q) = 0. What is q?
-3, -2, 0, 5
Factor 2/11*v**2 + 126/11 + 48/11*v.
2*(v + 3)*(v + 21)/11
Let g(v) be the third derivative of v**5/30 + v**4/3 + 4*v**3/3 - 584*v**2. Factor g(s).
2*(s + 2)**2
Let n(k) = 2*k**4 + k**3 - k**2 + 5*k + 1. Let w(q) = -3*q**4 - 15*q**3 + 64*q**2 - 138*q + 94. Let v(t) = 2*n(t) + w(t). Find i, given that v(i) = 0.
2, 3, 4
Let b(x) be the first derivative of x**3/15 + 127*x**2/10 - 524*x/5 + 1808. Suppose b(k) = 0. What is k?
-131, 4
Let k(w) = w**2 - 4*w + 12. Let t be k(6). Find i, given that -8*i**3 + 4*i - 2*i**2 + t - 9*i**2 - 9*i**2 = 0.
-2, -3/2, 1
Let q(x) be the first derivative of 5*x**4/4 + 1655*x**3/3 + 137775*x**2/2 + 136125*x - 259. Factor q(w).
5*(w + 1)*(w + 165)**2
Suppose 7 = 3*m - 2*x, 5*m - 4 = -x + 12. Let y = -8683 - -60787/7. Find o, given that -y*o**2 + 8/7 + 2/7*o**m + 0*o = 0.
-1, 2
Suppose -20*y = -29*y + 45. Factor y + 4*u**2 + 0 - 5 - 32*u.
4*u*(u - 8)
Let c(l) = -16*l + 764. Let k be c(48). Let v be k/(-50) + (-17)/((-4250)/(-20)). What is r in 8/11*r**4 + 0*r - 10/11*r**3 - 2/11*r**5 + 4/11*r**2 + v = 0?
0, 1, 2
Find r, given that 931*r**4 - 6534*r - 8097*r**3 - 2094*r + 527*r**4 + 20814*r**3 + 1032 + 15030*r**2 = 0.
-43/6, -2, 2/9
Let j(k) be the third derivative of 7*k**6/24 - k**5/3 - 85*k**4/24 - 5*k**3 - 329*k**2. Factor j(d).
5*(d - 2)*(d + 1)*(7*d + 3)
Suppose k + 9 = 13. Let b be k/(96/6) + 22/8. Factor 2*d + 3 + 127*d**3 - 10*d**2 - 121*d**3 - b + 2.
2*(d - 1)**2*(3*d + 1)
Let n(k) be the second derivative of -11*k**4/12 - 15*k**3 - 8*k**2 - k + 127. Factor n(s).
-(s + 8)*(11*s + 2)
Let g be ((-135)/(-27))/(35/14). Determine z, given that 1/4*z**g - z + 1 = 0.
2
Let r(x) = x**3 + 468*x**2 - 955*x + 486. Let t = 375 + -378. Let o(y) = -156*y**2 + 318*y - 162. Let w(z) = t*r(z) - 8*o(z). Suppose w(p) = 0. What is p?
-54, 1
Determine d so that -100*d + 24*d + 8*d**3 - 7*d**3 - 50*d - 3*d**2 - 8*d**2 = 0.
-7, 0, 18
Suppose 6*l - 2*s - 4 = 7*l, 0 = 4*l + 2*s - 14. Let w be l/(-15)*(-22 + 2) + -3. Factor r**w - 19*r + 8*r**3 - 4*r**2 + 8*r**4 - 4 + r**5 - 17*r + 26*r.
2*(r - 1)*(r + 1)**3*(r + 2)
Let d(g) be the second derivative of g**4/20 - 42*g**3/5 - 51*g**2/2 - 2429*g. Suppose d(t) = 0. What is t?
-1, 85
Let s(r) be the second derivative of r**6/6 - 5*r**5/4 - 105*r**4/4 + 685*r**3/6 - 175*r**2 + 609*r. Factor s(i).
5*(i - 10)*(i - 1)**2*(i + 7)
Let d(c) be the first derivative of -2*c**5/15 + 32*c**4/3 - 124*c**3/9 - 64*c**2/3 + 42*c + 1595. Find o such that d(o) = 0.
-1, 1, 63
Let i(s) = -2*s**2 + s - 1. Let n(q) = 108 - 48 - 51 - 8*q + 11*q**2. Let y(j) = 6*i(j) + n(j). Factor y(p).
-(p - 1)*(p + 3)
Suppose 138251 - 138305 = -18*x. Let t(w) be the third derivative of 0*w + 0 + 5*w**2 + 1/270*w**5 + 5/108*w**4 + 0*w**x. Factor t(j).
2*j*(j + 5)/9
Let f(m) be the first derivative of 2*m**3/15 - 64*m**2/5 - 296*m + 1012. What is x in f(x) = 0?
-10, 74
Let x = 13 + -4. Suppose -18 - 18 = -x*u. Let a**2 + 0*a**5 - 4*a**u + 3*a**4 - 2*a + 3*a**3 - 2*a**5 + a**5 = 0. What is a?
-2, -1, 0, 1
Solve 0 + 0*s + 58/3*s**3 + 0*s**2 + 1/3*s**4 = 0 for s.
-58, 0
Let s be (5 + -12)/(5 - 6). Let z(a) be the third derivative of -15*a**2 + 0 - 3/260*a**6 + 0*a**3 - 1/65*a**5 - 1/156*a**4 - 4/1365*a**s + 0*a. Factor z(o).
-2*o*(o + 1)**2*(4*o + 1)/13
Let 114*t**5 + 18061*t + 7906*t**3 + 14400 + 5459*t - 10726*t**3 + 820*t**2 - 129*t**5 + 395*t**4 = 0. Calculate t.
-2, -2/3, 5, 12
Let h(y) be the second derivative of y**6/8 - 37*y**5/20 + 8*y**4 - 10*y**3 + 163*y**2/2 - 32*y. Let o(d) be the first derivative of h(d). Solve o(v) = 0.
2/5, 2, 5
Let a(g) be the second derivative of 3*g**3 - 1/4*g**4 - 27/2*g**2 - 10*g + 0. Factor a(k).
-3*(k - 3)**2
Let a(x) be the third derivative of x**6/24 + 22*x**5 - 885*x**4/8 + 665*x**3/3 + 138*x**2 + 2. Factor a(d).
5*(d - 1)**2*(d + 266)
Let h(x) be the first derivative of 11*x**5/300 - x**4/24 - x**3/5 + 43*x**2/2 + 94. Let f(o) be the second derivative of h(o). Factor f(i).
(i - 1)*(11*i + 6)/5
Find t such that 112 + t**2 + 89 - 201 + 126*t = 0.
-126, 0
Let o(z) be the second derivative of -z**5/4 + 13*z**4 + 299*z**3/6 - 33*z**2 + 862*z. Factor o(a).
-(a - 33)*(a + 2)*(5*a - 1)
Let i be (0 - 0)/(16 + -17). Let x be 1*(0 - (-3 + i)). Factor 3*s**3 - 17 - s**x - 18*s**2 - 15 + 48*s.
2*(s - 4)**2*(s - 1)
Let u = 37387/78761 + -19/4633. Suppose -u*x + 2/17*x**3 + 4/17*x**2 - 16/17 = 0. Calculate x.
-2, 2
Factor 3/2*x**2 + 3096*x + 1597536.
3*(x + 1032)**2/2
Let w(b) = -3*b**2 + 2*b + 338. Let s(j) = -2*j**2 + j + 226. Let v(c) = 7*s(c) - 5*w(c). Suppose v(q) = 0. Calculate q.
-9, 12
Let q(t) = -t**3 - t. Let j = 7 - 6. Let k(l) = -l + 56*l**3 - 5*l**2 + 3*l**2 - 57*l**3. Let h(f) = j*k(f) - 2*q(f). Let h(a) = 0. Calculate a.
0, 1
Suppose 15*q + 139 - 2134 = 0. Factor -q*a**2 + 36*a**3 - 12*a**2 + 14*a**3 - 5*a**4 + 160*a - 60.
-5*(a - 6)*(a - 2)*(a - 1)**2
Let s(x) be the third derivative of -x**6/360 + x**5/120 + 15*x**3/2 - 47*x**2. Let j(q) be the first derivative of s(q). Factor j(c).
-c*(c - 1)
Find b such that -4/5*b**3 + 344/5*b**2 + 2944/5*b + 6016/5 = 0.
-4, 94
Suppose -2*v - 51 = 61. Let p = 59 + v. Suppose -90*f**2 - 53*f - f**p - 20*f**3 - 15 - 3 - 34*f = 0. Calculate f.
-3, -1, -2/7
Let j be 33 + -12 - -1 - (-2)/(-2). Let x be 24/j*6 + (12 - 18). Let -2/7*s + x*s**2 + 0 = 0. What is s?
0, 1/3
Factor 1906 + 234 + 1506*q + 1344*q + 31 - 296 + 1083*q**2.
3*(19*q + 25)**2
Let w be 4 - 0 - (4/8)/(1/8). Let p(g) be the third derivative of 0 + 1/6*g**3 + w*g - 1/60*g**5 - 14*g**2 + 0*g**4. Let p(r) = 0. What is r?
-1, 1
Find z, given that 60 - 454/3*z + 10/3*z**2 = 0.
2/5, 45
Suppose -3*q - 3*o - 4 + 82 = 0, 3*q - 3*o = 84. Suppose -51*i - 2*i**5 - 39*i**2 + 3*i**4 + 27*i + 4*i**5 + q*i**3 - 5*i**5 + 36 = 0. Calculate i.
-3, -1, 1, 2
Let 428/9*l**3 - 2/9*l**5 + 418/3*l + 0*l**4 - 1264/9*l**2 - 416/9 = 0. Calculate l.
-16, 1, 13
Let b(c) be the first derivative of 9*c**2 + 144*c - 4. Let p be b(-8). Find z such that 0 + 2/7*z**3 + p*z + 6/7*z**2 = 0.
-3, 0
Let z be (-2 - (-12)/4)/((-3)/(-12)). Let m(j) = j + 4. Let b be m(0). Factor -p**z + 3*p**b - 4*p**4 + 8*p**3 - 2*p**3.
-2*p**3*(p - 3)
Suppose 10*a - 3008 = 2*a. Let q = 381 - a. Determine o, given that 0*o**2 - 2/11*o**q + 0*o**3 + 0*o - 2/11*o**4 + 0 = 0.
-1, 0
Determine b, given that 572*b + 1300*b - 5977*b + 4*b**5 - 3361*b - 116*b**4 - 15680 + 832*b**3 + 928*b**2 - 2838*b = 0.
-2, 5, 14
Let p(a) = 3*a**2 + 286*a + 6554. Let b be p(-38). Suppose -25/3*q**3 - b*q**2 + 4/3*q + 25/3*q**4 + 8/3 = 0. What is q?
-1, -2/5, 2/5, 2
Let d(w) be the second derivative of -213*w**5/4 + 349*w**4/4 + 3*w**3 + 5311*w. Factor d(g).
-3*g*(g - 1)*(355*g + 6)
Suppose 0 = 4*t - 1678 - 3078. Suppose 2*m = -h + 2660, 3*m - t = -h + 2801. Factor -m*j**2 + 20*j + 1328*j**2 - 20 - 30.
-2*(j - 5)**2
Let c(x) = 24*x - 80. Let m be c(9). Let j = m + -134. Factor 0*d**j + 3*d**3 - 3/2*d**5 - 3/2*d + 0 + 0*d**4.
-3*d*(d - 1)**2*(d + 1)**2/2
Let p = 438 + -328. Suppose -p + 89 = -7*n. Determine c, given that -2/7*c**4 + 0*c**2 + 0*c + 0 - 2/7*c**n = 0.
-1, 0
Let m(t) be the third derivative of -t**6/420 - 4*t**5/35 - 167*t**4/84 - 104*t**3/7 - 5*t**2 + 203*t. Factor m(f).
-2*(f + 3)*(f + 8)*(f + 13)/7
Suppose 5*u - 3 = -2*k, 319*u - 314*u + 37 = 8*k. Factor 2176/3*c + 576*c**3 - 160 - 18*c**k - 1104*c**2.
-2*(c - 30)*(3*c - 2)**3/3
Let b(c) = -22*c**3 + 30*c**2 + 290*c + 846. Let d(g) = -5*g**3 + 4*g**2 - 1. Let z(q) = -b(q) + 4*d(q). Factor z(s).
2*(s - 17)*(s + 5)**2
Let y(l) = -95*l - 3798. Let v be y(-40). Let x(g) be the second derivative of -v*g**2 + 0 + 5/3*g**3 + 11/3*g**4 + 3/2*g**5 + 16*g. Let x(m) = 0. Calculate m.
-1, -2/3, 1/5
Let n(z) be the third derivative of -z**6/60 - z**5/3 - z**4/12 - 3*z**2. Let y be n(-10). Factor 3 + 1 + y - 28*d + 69*d**2 - 65*d**2.
4*(d - 6)*(d - 1)
Solve -3527 - 4003*t - 579*t**3 - 11337*t**2 - 66*t**4 + 8805*t**2 + t**5 - 1273 - 4*t**5 - 1517*t = 0 for t.
-5, -4
Let m(x) be the first derivative of x**7/21 - 11*x**6/45 + x**5/5 + 27*x + 68. Le