 23*g + 32*g + 0 - 105*g.
-3*(g + 6)*(5*g + 2)
Suppose 0 = -x - 2 + 11. Suppose 3*w + x*s = 4*s + 39, 2*s + 96 = 5*w. Solve -6*b**2 + w*b - 2*b**2 + 5*b**2 + b**2 = 0.
0, 9
Let t(u) be the third derivative of -1/10*u**5 + 0*u - 7/15*u**6 + 41/6*u**4 + 0 - 16*u**3 - 250*u**2. What is n in t(n) = 0?
-2, 3/4, 8/7
Let l = 1032121/4834605 + -39/8711. Let r = l - 1/111. Factor -1/5*f**2 + 1/5*f**5 + 0 + r*f**4 + 0*f - 1/5*f**3.
f**2*(f - 1)*(f + 1)**2/5
Let g(t) be the third derivative of -1/210*t**5 + t**2 + 12 - 4/7*t**3 + 0*t + 2/21*t**4. Solve g(x) = 0.
2, 6
Let z(g) be the second derivative of g**8/43680 - g**7/16380 - 5*g**4/12 + 2*g**3/3 - g - 15. Let s(h) be the third derivative of z(h). Factor s(t).
2*t**2*(t - 1)/13
Suppose 0 = 27*m - 25*m - 2*v - 18, 0 = -2*m - 5*v - 10. Suppose -4*p - 2*l + 107 - 99 = 0, -4*p = m*l - 20. Factor -1/3*o + p + 1/3*o**2.
o*(o - 1)/3
Let z = 49289/3651 - 1/7302. Suppose 0 + 3/2*k**4 + 21/2*k**3 + 45/2*k**2 + z*k = 0. Calculate k.
-3, -1, 0
Let m(f) = 4*f**2 - 286*f - 287. Let t be m(-1). Determine u, given that -20/7*u**4 - 60/7*u**t - 80/7*u**2 - 12/7 - 2/7*u**5 - 50/7*u = 0.
-6, -1
Let j(i) be the first derivative of 2*i**5/15 - 107*i**4/6 + 5830*i**3/9 - 2809*i**2/3 + 2533. Factor j(t).
2*t*(t - 53)**2*(t - 1)/3
Let -80/3*s + 12*s**2 + 44/3*s**3 + 0 = 0. What is s?
-20/11, 0, 1
Let w(f) = 5*f**2 + 2744*f - 623800. Let h(g) = 2*g**2 + 2*g + 2. Let m(s) = 4*h(s) - w(s). Find o such that m(o) = 0.
456
Let b(g) be the first derivative of 5*g**4/4 + 85*g**3/3 + 455*g**2/2 + 735*g - 2356. Factor b(u).
5*(u + 3)*(u + 7)**2
Suppose 24*g - 3813 + 14157 = 0. Let b = -428 - g. Factor 6/7*f**2 + 0 + 2/7*f**b + 4/7*f.
2*f*(f + 1)*(f + 2)/7
Let l = -80 - -82. Factor 19*b + 5*b**l + 0*b**2 + 21*b - 15*b - 30.
5*(b - 1)*(b + 6)
Let d(x) = 6*x**4 - 621*x**3 - 2931*x**2 + 12861*x - 9477. Let z(f) = f**4 - 89*f**3 - 419*f**2 + 1837*f - 1354. Let a(m) = 4*d(m) - 27*z(m). Factor a(p).
-3*(p - 2)*(p - 1)*(p + 15)**2
Let b(o) be the second derivative of 1/4*o**2 + 8*o - 2 + 4/9*o**3 + 13/72*o**4. Factor b(c).
(c + 1)*(13*c + 3)/6
Let h(p) be the second derivative of p**5/22 + 3733*p**4/66 - 8984*p**3/33 + 2996*p**2/11 + 4*p - 107. Suppose h(i) = 0. What is i?
-749, 2/5, 2
Let o(g) = 3*g**2 - 25*g + 2. Let z(r) = r**2 + 3*r + 8. Let v(c) = -2*o(c) + 10*z(c). What is q in v(q) = 0?
-19, -1
Let r(s) be the first derivative of 3*s**5/20 + 7*s**4/16 - 3*s**3 + 5*s**2/2 - 10906. Factor r(x).
x*(x - 2)*(x + 5)*(3*x - 2)/4
Let v(c) = 3*c**2 + 37*c + 84. Let h be v(-9). Let z be h/(-10) - (9 - (-81)/(-9)). Find g, given that 4/5*g**3 - 2/5*g**2 - 4/5*g - 1/5*g**4 + z = 0.
-1, 1, 3
Let d = 95747/40 + -2393. Let u = 99/40 - d. Determine w so that 3/5*w**4 + 6/5*w**2 + 0*w + u*w**3 + 0 = 0.
-2, -1, 0
Let p(n) be the third derivative of -n**8/1512 - 8*n**7/315 - 7*n**6/180 + 23*n**5/135 - 8*n**2 - 248. What is l in p(l) = 0?
-23, -2, 0, 1
Let a(n) = n**3 - 75*n**2 + 544*n - 474. Let c be a(7). Factor -1/2*g**4 + g**3 + 9/2 - 9*g + 4*g**c.
-(g - 3)*(g - 1)**2*(g + 3)/2
Let x(i) = 4*i**3 - 16*i**2 + 8*i + 1. Let b be x(4). Solve b - 132*g - 2*g**2 + 66 - 7 + 90*g = 0 for g.
-23, 2
Factor -15*j - 9*j**2 - 3/7*j**3 + 171/7.
-3*(j - 1)*(j + 3)*(j + 19)/7
Let h be (-4 - -3) + -6 - -134. Find i such that -77*i + 4*i**2 - 70*i - 144 + h*i = 0.
-4, 9
Let f(l) = -46*l**2 + 79643*l - 106293784. Let x(k) = 3*k**2 - 5310*k + 7086252. Let a(m) = 2*f(m) + 31*x(m). Let a(c) = 0. What is c?
2662
Let t be ((-80)/(-288))/(((-1875)/45)/(-25)). Let h = -2341/6 - -391. Factor h*r + 2/3*r**4 + t*r**3 + 1/3 - 2*r**2.
(r - 1)**2*(r + 2)*(4*r + 1)/6
Let t(z) be the second derivative of 63*z + 80/3*z**3 + 0 + 1/20*z**5 + 150*z**2 + 23/12*z**4. Determine q, given that t(q) = 0.
-10, -3
Find g such that 150/7*g**3 + 684/7*g - 621/7*g**2 - 12 = 0.
7/50, 2
Let h = -41/181 + 485/543. Let p(x) be the first derivative of -1/2*x**4 - 2/5*x**5 + 0*x + h*x**3 + x**2 - 1. Factor p(z).
-2*z*(z - 1)*(z + 1)**2
Let x(u) be the first derivative of -u**6/45 + 2*u**5/5 - 43*u**4/15 + 464*u**3/45 - 96*u**2/5 + 256*u/15 + 720. Suppose x(i) = 0. Calculate i.
1, 2, 4
Let g(r) be the second derivative of -19/30*r**6 + 1 - 2/21*r**7 - 40*r - 1/6*r**3 - 19/12*r**4 - 31/20*r**5 + r**2. Factor g(q).
-(q + 1)**3*(q + 2)*(4*q - 1)
Let d(b) = 42*b**3 + 6343*b**2 - 482*b. Let r(q) = 255*q**3 + 38060*q**2 - 2900*q. Let z(k) = 35*d(k) - 6*r(k). Determine o so that z(o) = 0.
-106, 0, 1/12
Find k, given that -120 - 18 - 134*k + 6 - 2*k**2 = 0.
-66, -1
Let b(o) be the first derivative of 0*o**2 - 1/40*o**5 + 1/12*o**3 - 19 + 0*o + 1/32*o**4. Let b(v) = 0. Calculate v.
-1, 0, 2
Suppose -1075*w + 3139 = 989. Find q, given that 4/3*q**4 + 628/3*q**w - 528*q - 88/3*q**3 + 432 = 0.
2, 9
Let m(f) be the third derivative of 5*f**8/224 + 253*f**7/140 - 107*f**6/80 - 253*f**5/40 + 51*f**4/8 + 5284*f**2. Determine v so that m(v) = 0.
-51, -1, 0, 2/5, 1
Let w(i) be the first derivative of -i**5/5 + 4*i**4/3 - 2*i**3 + 24*i + 128. Let c(f) be the first derivative of w(f). Factor c(d).
-4*d*(d - 3)*(d - 1)
Let h(d) be the first derivative of 5/2*d**4 - 64 - 35/3*d**3 + 10*d**2 + 20*d. Factor h(v).
5*(v - 2)**2*(2*v + 1)
Let l = 404 + -389. Factor -10 - 42*g + l - 29 - 15*g**2.
-3*(g + 2)*(5*g + 4)
Let q = 308198 - 308196. Let -2/3*f**3 - 74/3 - 50*f - 26*f**q = 0. What is f?
-37, -1
Let w(i) = -20*i**2 + 15345*i - 11781130. Let s(b) = -23*b**2 + 15344*b - 11781131. Let p(n) = 5*s(n) - 6*w(n). Factor p(t).
5*(t - 1535)**2
Let k be (-10)/((-6)/((-5724)/(-3))). Factor 5*v**3 + 5*v**4 + 3180*v - k*v.
5*v**3*(v + 1)
Let y be (-6852)/8565*(-10)/4. Solve 0 - 1/8*l**y - 9/4*l = 0 for l.
-18, 0
Let -7*v**3 + 46*v - 3*v**5 - 5*v - 59*v - 11*v**3 + 42*v - 15*v**4 + 12*v**2 = 0. Calculate v.
-2, 0, 1
Let i(j) be the second derivative of j**6/72 + j**5/36 - 19*j**2 + 52*j. Let z(m) be the first derivative of i(m). Determine f so that z(f) = 0.
-1, 0
Suppose -6*x + 39 - 110 = -7*p - 9*x, 0 = 2*x - 38. Factor 2809/12 + 1/12*i**p - 53/6*i.
(i - 53)**2/12
Let v(x) be the second derivative of -x**5/100 + x**4/4 - 7*x**3/15 - 50*x + 2. Suppose v(z) = 0. What is z?
0, 1, 14
Let o(n) be the second derivative of -16/3*n**3 + 49*n + 16*n**2 - 1/20*n**5 + 0 + 5/6*n**4. Factor o(k).
-(k - 4)**2*(k - 2)
Let c(s) be the second derivative of -6591/2*s**2 + 507/2*s**3 - 1 + 3/20*s**5 - 39/4*s**4 + 30*s. Solve c(n) = 0 for n.
13
Let z(f) = 4*f**4 + 22*f**3 + 2*f**2 - 34*f - 6. Let x(g) = 8*g**4 + 42*g**3 + 6*g**2 - 70*g - 14. Let r(n) = -3*x(n) + 7*z(n). Factor r(d).
4*d*(d - 1)*(d + 1)*(d + 7)
Let w(d) be the second derivative of -d**4/36 + 2*d**3/3 + 15*d**2/2 + 5225*d. Factor w(h).
-(h - 15)*(h + 3)/3
Let g be (-21)/(-28) - 9770/56. Let t = 174 + g. Solve 4/7*y - 2/7*y**2 + t*y**5 + 0 + 2/7*y**4 - 6/7*y**3 = 0.
-2, -1, 0, 1
Factor -1/7*f**3 + 3/7*f - 4/7*f**2 + 18/7.
-(f - 2)*(f + 3)**2/7
Let n(m) be the third derivative of -m**5/360 + 35*m**4/72 - 196*m**3/9 - 35*m**2 + 10*m. Factor n(f).
-(f - 56)*(f - 14)/6
Let d = 23 + -18. Suppose 5*y = -5*n + 40, -d*y + 2 = -5*n - 8. Factor 31*v - 604*v**5 - 216*v**3 - 1960*v**4 - 352*v**2 + v + 1290*v**5 + 1560*v**n.
2*v*(v - 2)*(7*v - 2)**3
Suppose 101568 + 1/3*w**2 - 368*w = 0. Calculate w.
552
Factor 51*f - 112*f - 15 + 41*f - 24*f**2 + 59*f.
-3*(f - 1)*(8*f - 5)
Let d(x) be the first derivative of -6 - 8/7*x + 1/14*x**4 + 8/7*x**2 - 10/21*x**3. Factor d(z).
2*(z - 2)**2*(z - 1)/7
Let a = 27213/4 + -136057/20. Factor 0*s**2 + 2/5*s**4 + 0 + 0*s + a*s**3.
2*s**3*(s + 1)/5
Let b(c) be the second derivative of -c**5/110 - 7*c**4/33 - 8*c**3/11 - 2*c + 1941. Find l, given that b(l) = 0.
-12, -2, 0
Find i, given that -4/3 + 152/3*i - 1517/3*i**2 + 1369/3*i**3 = 0.
2/37, 1
Let t(w) = 2*w**2 + 57*w - 266. Let j(v) = -14*v**2 - 398*v + 1860. Let a(i) = 6*j(i) + 44*t(i). Determine k so that a(k) = 0.
-34, 4
Let b(s) be the second derivative of s**4/24 - 3*s**3/2 + 18*s**2 + 7*s - 57. Let b(x) = 0. Calculate x.
6, 12
Determine h, given that 55/8*h + 75/2 - 1/8*h**2 = 0.
-5, 60
Determine v so that -v**2 - 4*v**2 + 3*v**2 + 235 + 68*v + 155 = 0.
-5, 39
Let g(c) = 211*c + 1920. Let r be g(-9). Let q(v) be the second derivative of -r*v + 1/9*v**3 - 1/9*v**2 + 0 - 1/27*v**4. Let q(z) = 0. Calculate z.
1/2, 1