3*g.
5*g*(g + 1)*(g + 6)*(3*g + 1)
Let i(d) = -d**2 - 2*d + 17. Let c be i(3). Factor 53*q**2 - 56*q**c + 3 - 3.
-3*q**2
Let s(v) be the second derivative of v**4/6 - 54*v**3 + 5400*v. Factor s(q).
2*q*(q - 162)
Factor -26 - 2/13*c**2 + 4*c.
-2*(c - 13)**2/13
Let h(j) be the second derivative of 42*j**2 + 1/5*j**5 + j + 0 - 2/3*j**3 - 7*j**4. Factor h(d).
4*(d - 21)*(d - 1)*(d + 1)
Let a(s) be the second derivative of 29*s**5/5 + 101*s**4/6 - 10*s**3 - 8649*s. Factor a(u).
2*u*(u + 2)*(58*u - 15)
Factor 96*q - 9*q**2 - 6012 - 6043 + 11920.
-3*(q - 9)*(3*q - 5)
Let t(r) be the third derivative of -r**8/336 - 17*r**7/105 - 7*r**6/3 + 51*r**5/10 + 867*r**4/8 + 93*r**2 - 2. Let t(d) = 0. Calculate d.
-17, -3, 0, 3
Let b be ((-2)/(-20))/((-187)/(-3740)). Let n(m) be the first derivative of -1/2*m**4 - 4/3*m**3 - 1 - m**b + 0*m. Determine u, given that n(u) = 0.
-1, 0
Let i = -5399 + 5401. Suppose 27 = t - 5*s, t + 23 = 3*s - 8*s. Find a such that 3*a + 6*a**2 - 4*a + 9*a - t*a**i = 0.
-2, 0
Let t be (-156)/(-5) - (168/35)/(-6). Suppose -4 = 7*a - t. Factor 4/3*m**a - 8/3*m**2 + 8/3*m**3 + 4/3 - 4/3*m**5 - 4/3*m.
-4*(m - 1)**3*(m + 1)**2/3
Let p(l) be the third derivative of -l**6/30 + 8*l**5/15 + 5*l**4/2 - 36*l**3 + 40*l**2 - 2*l. Factor p(i).
-4*(i - 9)*(i - 2)*(i + 3)
Determine l so that -3/2*l**2 + 186*l - 5766 = 0.
62
Solve -112/5*z**3 - 2592/5*z - 180*z**2 - 2/5*z**4 - 2538/5 = 0.
-47, -3
Let b(l) = -1. Let m(d) be the first derivative of 9*d + 1/3*d**3 + 9/2*d**2 + 10. Let o(k) = b(k) + m(k). Let o(f) = 0. What is f?
-8, -1
Let g = 436065 - 3058018/7. Let q = g - -795. Factor q*f - 2/7*f**2 + 12/7.
-2*(f - 3)*(f + 2)/7
Let w = -856/35 - -2867/70. Factor -54*c + 36*c**2 + 0 + w*c**3 + 3/2*c**4.
3*c*(c - 1)*(c + 6)**2/2
Let v = 21117/2 + -10855. Let c = v + 298. Determine s, given that 57/8*s**3 - c - 9/2*s + 39/8*s**2 - 27/8*s**4 - 21/8*s**5 = 0.
-2, -1, -2/7, 1
Let c(d) be the first derivative of 6348*d**5/5 + 1978*d**4 - 6956*d**3/9 - 4472*d**2/3 + 2704*d/3 - 7152. Factor c(u).
4*(u + 1)**2*(69*u - 26)**2/3
Let z = -93194/11 - -466003/55. Factor z*p**2 + 114/5*p + 72/5 - 9/5*p**3.
-3*(p - 4)*(p + 3)*(3*p + 2)/5
Let l(d) be the second derivative of -15*d**2 - 1/15*d**5 + 0*d**3 + 27*d + 1/3*d**4 + 0. Let n(i) be the first derivative of l(i). Factor n(m).
-4*m*(m - 2)
Let p(b) = 5*b**3 - 87*b**2 - 44*b + 2. Suppose -29*m - 34 + 5 = 0. Let y(o) = o**3 - o - 2. Let x(r) = m*y(r) - p(r). Solve x(q) = 0 for q.
-1/2, 0, 15
Determine s so that 357604 + 1/4*s**2 - 598*s = 0.
1196
Let i(w) be the third derivative of -w**7/420 - w**6/20 - w**5/12 + w**4/4 + 11*w**3/12 - 199*w**2 - 3*w. Determine x so that i(x) = 0.
-11, -1, 1
Let h(z) be the third derivative of -z**6/1320 + 19*z**5/660 + z**4/264 - 19*z**3/66 + z**2 + 23. Factor h(v).
-(v - 19)*(v - 1)*(v + 1)/11
Let t be 1*((-1)/(-7) - 33*(-37)/(-8547)). Factor 0*c**3 + t + 8/9*c**2 - 2/3*c**4 + 0*c + 2/9*c**5.
2*c**2*(c - 2)**2*(c + 1)/9
Let u = -4831886/3 - -1610629. Determine h so that -2/3*h**3 - 6*h - u*h**4 + 0 + 7*h**2 = 0.
-6, 0, 1, 3
Let z = -21 + 68. Let f = z + -44. Factor -63*a**f - 54*a**2 - 44*a**5 - 10*a**4 - 14*a**4 + 41*a**5.
-3*a**2*(a + 2)*(a + 3)**2
Let x be 11 + (-15 - 234/(-39)). Solve 1/3*b + 1/3*b**3 - 4/3*b**2 + x = 0.
-1, 2, 3
Factor 42*l + 2528 - 10*l + l**2 - 2672.
(l - 4)*(l + 36)
Let a = 8784 - 8782. Let t(r) be the second derivative of 1/5*r**a - 1/10*r**3 + 1/60*r**4 - 8*r + 0. Factor t(l).
(l - 2)*(l - 1)/5
Let t = -446 - -474. Suppose 0 = -5*r, -t*v + 31*v - 2*r = 9. Factor 1/2 + x**v - x + 0*x**2 - 1/2*x**4.
-(x - 1)**3*(x + 1)/2
Find a, given that 0*a + 136/5*a**3 + 2/5*a**5 + 6*a**4 + 192/5*a**2 + 0 = 0.
-8, -4, -3, 0
Let q be 7 + 3 - 53994/5474. Let z = q - 3/161. Factor 24/17*l**2 + z*l**3 + 72/17*l + 0.
2*l*(l + 6)**2/17
Find x such that 6279/5*x**2 + 3/5*x**5 - 27/5*x**4 + 3042*x + 0 - 729/5*x**3 = 0.
-15, -2, 0, 13
Let d(h) be the second derivative of -h**7/336 - 31*h**6/240 + h**5/5 - 20*h + 15. Factor d(j).
-j**3*(j - 1)*(j + 32)/8
Suppose 2*y - 82 = 5*l, y - 4*l - 41 = -8*l. Suppose 41 = -5*o + y. Factor -3/7*h - 4/7*h**2 + o - 1/7*h**3.
-h*(h + 1)*(h + 3)/7
Let d(u) be the second derivative of 5*u**7/36 + 109*u**6/180 + u**5/10 - 35*u**4/18 - 4*u**3/9 + 1226*u + 1. Let d(r) = 0. Calculate r.
-2, -4/35, 0, 1
Let d(m) = 18*m**5 + m**2 + m + 1. Let x(p) = -20*p**5 + 78*p**4 + 250*p**3 + 89*p**2 - 249*p - 169. Let c(a) = -2*d(a) - 2*x(a). Suppose c(g) = 0. Calculate g.
-2, -1, 1, 42
Let m(a) be the second derivative of a**5/60 - 209*a**4/12 - 314*a**3/9 + 7555*a. Factor m(k).
k*(k - 628)*(k + 1)/3
Let j(h) = 47 - 260*h + 127*h + 137*h. Let u be j(-11). Determine z so that 4*z - 2*z**4 - 9*z**4 - 4*z**5 + u*z**4 + 8*z**2 = 0.
-1, 0, 1
Let y(k) = 7*k**3 - 2*k**2 + k - 2. Let j(n) = 66*n**3 - 159*n**2 + 240*n - 39. Let s(q) = -j(q) + 6*y(q). Factor s(u).
-3*(u - 3)**2*(8*u - 1)
Let r be (-20)/360*27*-4. Factor 3*t**4 + r*t**2 + 0 - 3/2*t**5 + 21/2*t**3 + 0*t.
-3*t**2*(t - 4)*(t + 1)**2/2
Find y, given that -1/7*y**4 - 81/7*y**3 + 440/7 - 963/7*y + 605/7*y**2 = 0.
-88, 1, 5
Let s(k) be the second derivative of k**5/70 - k**4/7 - k**3/21 + 6*k**2/7 - 528*k. Factor s(x).
2*(x - 6)*(x - 1)*(x + 1)/7
Let k = 1174479 + -1174472. What is h in -k*h + 7/4*h**3 - 1/2*h**2 - 1/4*h**4 + 6 = 0?
-2, 1, 2, 6
Let z(i) be the first derivative of i**5/5 + 61*i**4 - 82*i**3 - 122*i**2 + 245*i - 386. Factor z(r).
(r - 1)**2*(r + 1)*(r + 245)
Let b be (15*12/108)/((-40)/(-34752)). Suppose -4/3*s**4 - 9520/3*s + 272/3*s**3 - b*s**2 - 4900/3 = 0. What is s?
-1, 35
Suppose 4*a = -u + 297, 0 = -16*u + 11*u + a + 1569. Let o = u - 623/2. Let -3*m**2 + 3 - o*m**3 + 3/2*m = 0. Calculate m.
-2, -1, 1
Let s(j) be the second derivative of -j**6/90 - 13*j**5/120 + j**4/36 + 13*j**3/9 + 2*j**2 - 642*j. Suppose s(z) = 0. What is z?
-6, -2, -1/2, 2
Let l(x) be the second derivative of x**7/3360 - x**6/288 + x**5/160 + 3*x**4/32 + 16*x**3/3 - 82*x. Let d(v) be the second derivative of l(v). Factor d(f).
(f - 3)**2*(f + 1)/4
Suppose 36/11*v + 1/11*v**3 - 15/11*v**2 + 0 = 0. Calculate v.
0, 3, 12
Let s(u) be the third derivative of 3*u**7/245 + 113*u**6/30 - 3547*u**5/210 + 578*u**4/21 - 356*u**3/21 - 9586*u**2. Find o, given that s(o) = 0.
-178, 2/9, 1
Let j(l) = -l**4 + l - 1. Let p(g) = -14*g**4 + 36*g**3 - 66*g**2 - 956*g - 12. Let x(b) = 12*j(b) - p(b). Factor x(a).
2*a*(a - 11)**2*(a + 4)
Let a(i) be the second derivative of i**6/6 + 707*i**5/2 + 277890*i**4 + 87627195*i**3 + 522435555*i**2/2 - 2*i + 164. Factor a(f).
5*(f + 1)*(f + 471)**3
Suppose 6*n - 47884 + 48030 = 5*o, 2*o - 107 = -3*n. Find b such that 58*b + 201/2*b**2 - 25/2*b**4 + o*b**3 + 10 = 0.
-1, -2/5, 5
Solve 72*x**2 + 4732*x - 139*x**2 + 1480380 + 1318598 + 69*x**2 = 0.
-1183
Let c(s) = s**3 + 4*s**2 + 5. Let z be c(4). Determine b, given that -z*b - 110 - 674 - 4*b**2 + 21*b = 0.
-14
Let p = 8633 - 8601. Let q(f) be the first derivative of -560/3*f**3 - 73*f**4 - 124*f**2 - p*f + 5 + 14/5*f**5 + 49/12*f**6. Find v, given that q(v) = 0.
-2, -2/7, 4
Let w(s) = -12*s + 56*s**2 - 18 + 2 + 38*s. Let g(o) = 28*o**2 + 12*o - 8. Let x(u) = -7*g(u) + 4*w(u). Let x(q) = 0. What is q?
-1, 2/7
Let q(f) be the first derivative of -f**5/5 - 107*f**4/4 - 1353*f**3 - 62073*f**2/2 - 287496*f + 3556. Factor q(t).
-(t + 8)*(t + 33)**3
Suppose -24*x = -10*x - 126. Let j be (-2)/x + 728/117. Factor 12*i**2 - 7*i + 4*i**3 + 13*i + 4 + j*i.
4*(i + 1)**3
Let a be (-1)/(-5 - (-6)/(-12)*-11). Let k be a/(-4) + 27/(-126). Factor -1/7*i**2 - k - 3/7*i.
-(i + 1)*(i + 2)/7
Let y(t) be the first derivative of t**5/60 + t**4/12 - 2*t**2/3 - 26*t - 117. Let u(p) be the first derivative of y(p). Let u(w) = 0. Calculate w.
-2, 1
Let j(d) be the third derivative of d**6/30 - 13*d**5/15 + 16*d**4/3 - 40*d**3/3 - 2*d**2 - 96. Factor j(q).
4*(q - 10)*(q - 2)*(q - 1)
Factor -2259/5*l + 0 - 3/5*l**2.
-3*l*(l + 753)/5
Let i(x) be the first derivative of -x**6/180 - 3*x**5/20 - 2*x**4/3 + 64*x**3/3 + 4. Let f(h) be the third derivative of i(h). Factor f(d).
-2*(d + 1)*(d + 8)
Factor -2/15*g**3 + 0*g + 0 - 1598/15*g**2.
-2*g**2*(g + 799)/15
What is k in -2/19*k**5 - 2/19*k**3 + 40/19*k - 28/19*k**2 + 8/19*k**4 - 16/19 = 0?
-2, 1, 2
Let d(q) be the third derivative