*q + 10*q**2 + h*q.
4*q*(q - 3)
Find x such that 207/7*x**2 - 12 - 2892/7*x = 0.
-2/69, 14
Let y = 10600/21 - 504. Let c(g) be the second derivative of -14*g + 0 - y*g**7 + 0*g**2 - 1/10*g**5 + 0*g**4 + 8/15*g**6 + 0*g**3. Solve c(u) = 0.
0, 1/4
Suppose 5*r - 1678 = -0*s - s, 5*s - 326 = -r. Let v be (-288)/r*-2*1/18. Let -4/21 - 2/7*d**2 + 10/21*d - 2/21*d**3 + v*d**4 = 0. What is d?
-2, 1
Let z(t) be the second derivative of -5*t**7/7 - 201*t**6/10 + 1089*t**5/5 - 2153*t**4/4 - 264*t**3 + 702*t**2 - 354*t. Solve z(f) = 0 for f.
-26, -1/2, 2/5, 3
Suppose -3*i - 2*u = -0*u + 1, 5*i - 2*u = 25. Suppose 82*b**2 - i + 64*b**2 + 2*b - 2*b**2 + 4*b = 0. What is b?
-1/6, 1/8
Let w(p) be the first derivative of 74*p**2 - 8/5*p**5 + 152/3*p**3 - 2/3*p**6 + 59 + 12*p**4 + 48*p. Factor w(u).
-4*(u - 4)*(u + 1)**3*(u + 3)
Let o be 32 - (0/(-4) - 4). Solve -4*h**2 - 20*h**3 - 9*h**4 - 11 + o - 18 - 7 = 0 for h.
-2, -2/9, 0
Let 218/9 + 2/9*g**2 + 220/9*g = 0. What is g?
-109, -1
Let j = 406625 + -406625. Solve -2/9*v**2 + 0 + j*v - 31/9*v**3 - 25/3*v**4 = 0.
-1/3, -2/25, 0
Let a(i) = 2*i**2 + 14*i - 8. Let g be a(-7). Let w be g/(-6) + (-1 - (-25)/15). Factor 2*u - 3*u + 36 + 2*u**2 + w*u**2 - 23*u.
4*(u - 3)**2
Let v(f) be the third derivative of f**8/84 + 4*f**7/35 + 3*f**6/10 - 4*f**5/15 - 2*f**4 + 2051*f**2. Factor v(t).
4*t*(t - 1)*(t + 2)**2*(t + 3)
Let w be -47 - (-72)/((-5328)/(-764827)). Determine n so that 1455*n**3 - w - 7125*n**2 + 3/2*n**5 - 165/2*n**4 - 37905/2*n = 0.
-1, 19
Let u be 7/(5/(-120)*-8). Let m be (-45)/(-114)*56/u. Suppose -2/19*j + m*j**4 + 2/19*j**3 + 4/19 - 24/19*j**2 = 0. Calculate j.
-1, -1/2, 2/5, 1
Let x(j) be the third derivative of -5*j**8/336 - 3*j**7/14 + 35*j**6/12 - j**2 + j - 310. Factor x(l).
-5*l**3*(l - 5)*(l + 14)
Suppose t + 12 = 2*v, -5*t = 262*v - 261*v - 17. Factor -1/7*m**5 - 15/7 - 30/7*m**3 + 17/7*m**4 + 31/7*m - 2/7*m**t.
-(m - 15)*(m - 1)**3*(m + 1)/7
Factor -243/4*j - 129/2*j**3 - 3/4*j**5 + 18*j**4 + 93*j**2 + 15.
-3*(j - 20)*(j - 1)**4/4
Let p(j) be the first derivative of -j**8/2352 + j**7/1470 + j**6/420 + 6*j**2 - 3*j + 90. Let y(m) be the second derivative of p(m). Factor y(l).
-l**3*(l - 2)*(l + 1)/7
Let q be 10017/6042*100/35. Find w such that 24/19*w**2 + q*w + 2/19*w**3 + 100/19 = 0.
-5, -2
Solve -253*t**2 + 29 + 531*t**2 - 37*t - 270*t**2 = 0.
1, 29/8
Let o = 18243749/1719 + -10613. Let f = o - -3428/8595. Find t, given that 2/5*t**3 + 2/5*t**2 - f - 2/5*t = 0.
-1, 1
Let v(y) be the first derivative of 8 - 14*y - 1/4*y**4 - 3/20*y**5 + 1/2*y**3 + 3/2*y**2. Let r(s) be the first derivative of v(s). Find a such that r(a) = 0.
-1, 1
Suppose -623*r - 641*r = -1884*r + 638*r. Find a, given that r + 0*a**2 + 0*a - 5/6*a**4 - 5/3*a**3 = 0.
-2, 0
Factor 60*j - 191/3*j**2 + 1/3*j**4 + 10/3*j**3 + 0.
j*(j - 9)*(j - 1)*(j + 20)/3
Let x(u) be the third derivative of u**6/840 - 29*u**5/210 + 1025*u**4/168 - 2500*u**3/21 - 4300*u**2. Determine m so that x(m) = 0.
8, 25
Let a = -4 + 9. Let q(r) = -2*r**2 + 15*r + 52. Let d be q(10). Factor j**2 - a + 1 - 2*j + j**d.
2*(j - 2)*(j + 1)
Let c(a) be the third derivative of -a**5/90 - 61*a**4/12 - 60*a**3 + 4113*a**2. Let c(f) = 0. Calculate f.
-180, -3
Let k(h) be the first derivative of -5*h**4/12 - 275*h**3/3 - 15125*h**2/2 - 141*h - 253. Let m(u) be the first derivative of k(u). Find g, given that m(g) = 0.
-55
Suppose -5*p + 24 = -4*p. Find d, given that -37*d + 62*d - p - 116*d - 73*d - 52*d**2 = 0.
-3, -2/13
Let r = -165 - -162. Let b(s) = -7*s**4 + 19*s**3 - 17*s**2 + 11*s. Let g(l) = 6*l**4 - 18*l**3 + 18*l**2 - 10*l. Let v(u) = r*g(u) - 2*b(u). Factor v(a).
-4*a*(a - 2)*(a - 1)**2
Suppose 0 = -28*x + 2433 - 2377. Solve -2*v**x + 1/3*v**3 + 1/3*v**4 + 0*v + 0 = 0.
-3, 0, 2
Suppose 4*u - 7*u - 2*j - 24643 = 0, u + 8226 = -3*j. Let m be ((-102)/u)/((-1)/(-7)). Factor -4/23*p**2 + 0*p**3 + m + 2/23*p**4 + 0*p.
2*(p - 1)**2*(p + 1)**2/23
Let w(q) be the second derivative of 9/2*q**3 + 1/4*q**4 + 0 + 12*q**2 - 35*q. Factor w(m).
3*(m + 1)*(m + 8)
Let x(z) be the third derivative of z**4/8 - 2*z**3/3 - 12*z**2. Let i be x(3). Factor 3*n**5 - 14*n**3 - 8*n**i + 19*n**3.
-5*n**3*(n - 1)*(n + 1)
Let s(d) be the second derivative of -d**5/190 - 102*d**4/19 - 31212*d**3/19 - 2*d - 7166. Factor s(a).
-2*a*(a + 306)**2/19
Let -12*y**3 - y**5 + 5*y**5 + 8*y**2 + 69981*y - 69981*y = 0. Calculate y.
-2, 0, 1
Find b such that 2/9*b**3 - 8*b**2 + 49972/9 - 434/3*b = 0.
-26, 31
Let p(o) = o**3 + 16*o**2 + 12*o - 22. Suppose -7*d - 45 = 60. Let w be p(d). Factor -25*b**2 - 28*b - 26 + 6 - w*b + 11*b - 5*b**3.
-5*(b + 1)*(b + 2)**2
Let g(a) be the third derivative of a**5/60 + a**4/12 - 1585*a**2 - 1. Factor g(n).
n*(n + 2)
Let m(h) = 284*h - 13. Let t be m(1). Let v = t + -809/3. Find n, given that 8/3*n**3 + 0*n**2 - v*n**5 + 0*n**4 + 0 - 4/3*n = 0.
-1, 0, 1
Suppose r = -2*m - 3, 5*m - 4*m - 5*r - 15 = 0. Suppose -5*w + 6*w - 3 = m. Factor 15*v**2 - v - 5*v**3 + 6*v - 2*v**4 - w*v**4 - 10.
-5*(v - 1)**2*(v + 1)*(v + 2)
Let o(k) = -24*k**2 - 6 - 29*k**3 - 19*k**3 - 17*k + 27*k**3. Let z(x) = x**4 + 41*x**3 + 48*x**2 + 33*x + 11. Let u(d) = 7*o(d) + 4*z(d). Factor u(m).
(m + 1)**2*(m + 2)*(4*m + 1)
Let v(h) be the first derivative of 84*h**5/5 - 25*h**4/2 - 182*h**3/3 - 50*h**2 - 16*h - 3439. Let v(o) = 0. Calculate o.
-4/7, -1/2, -1/3, 2
Let d(n) = 61*n**3 - 1868*n**2 + 292*n + 12. Let v(z) = 59*z**3 - 1867*z**2 + 298*z + 13. Let y(p) = -13*d(p) + 12*v(p). Suppose y(x) = 0. What is x?
0, 2/17, 22
Let h be -6*(-7 + 5)*(-2)/(-12). Factor -4*n**2 - 3*n**5 - 12*n**4 + n**h - 6*n**2 + 3*n**2 - 15*n**3.
-3*n**2*(n + 1)**2*(n + 2)
Let u(n) = -n**3 + 19*n**2 - 75*n - 15. Let v be u(13). Let h = -5 + 8. Factor -d**3 + h*d**3 - v*d + 15*d**2 - 5*d**3 + 12.
-3*(d - 2)**2*(d - 1)
Solve 3/11*l**2 + 304/11*l - 1/11*l**4 - 204/11 - 102/11*l**3 = 0 for l.
-102, -2, 1
Suppose 33 + 21 = 9*o. Determine t, given that o*t**2 + 2*t - 6*t - 17*t - 3*t**2 = 0.
0, 7
Factor -17 + 143 - 3*x**2 + 2*x**2 + 162 - x**2.
-2*(x - 12)*(x + 12)
Let -2/3*k**4 + 2*k**2 - 14/3*k + 2*k**3 - 4 = 0. Calculate k.
-1, 2, 3
Suppose 6/13*o**2 + 8/13 - 16/13*o - 2/13*o**4 + 4/13*o**3 = 0. What is o?
-2, 1, 2
Suppose -25 + 25 = -16*n. Suppose 12*a - 13*a = n. Factor a*u + 2/11*u**3 + 6/11*u**2 - 8/11.
2*(u - 1)*(u + 2)**2/11
Let i(o) be the second derivative of -o**5/90 + 7*o**4/6 - 49*o**3 + o**2 - 78*o. Let t(r) be the first derivative of i(r). Suppose t(z) = 0. What is z?
21
Let i(a) be the second derivative of -a**6/120 - 143*a**5/40 - 71*a**4/12 + 143*a**3/12 + 285*a**2/8 - 611*a. Let i(g) = 0. What is g?
-285, -1, 1
Let c(t) be the first derivative of -3*t**5 + 2593*t**4/12 - 4120*t**3/9 + 898*t**2/3 - 224*t/3 + 2824. Solve c(g) = 0.
2/9, 2/5, 1, 56
Let y(g) be the first derivative of -g**5/20 - 5*g**4/2 - 50*g**3 - 500*g**2 - 42*g + 46. Let i(c) be the first derivative of y(c). What is r in i(r) = 0?
-10
Let s = 317365/14649 + 10/4883. Find b, given that 5/3*b**3 + 115/3*b + 55/3 + s*b**2 = 0.
-11, -1
Let l(t) be the second derivative of t**7/147 + 38*t**6/105 - t**5/70 - 19*t**4/21 - 2710*t. Find b such that l(b) = 0.
-38, -1, 0, 1
Let f(h) be the second derivative of -h**6/90 - 47*h**5/60 + 25*h**4/18 + 16*h**3/3 - 1000*h. Find z such that f(z) = 0.
-48, -1, 0, 2
Let x = 157 - 431. Let v = 278 + x. Solve -4/3*i**2 + 2/3*i**5 - 2 - 14/3*i + 10/3*i**v + 4*i**3 = 0 for i.
-3, -1, 1
What is y in 501/2*y + 1/2*y**3 + 369 + 44*y**2 = 0?
-82, -3
Let p = 664129/2 + -332055. Suppose 16*t + p*t**3 - 55/2*t**2 + 2 = 0. Calculate t.
-2/19, 1, 2
Let h = -21603/2 - -10566. Let i = h - -236. Factor -1/3*k**2 - 1/6*k**3 + 0 + i*k.
-k*(k - 1)*(k + 3)/6
Let l(b) be the second derivative of b**7/210 - 2*b**6/45 - b**3/3 + 85*b. Let g(y) be the second derivative of l(y). Factor g(m).
4*m**2*(m - 4)
Let i(c) = c**3 + 12*c**2 + 33*c + 10. Let b be i(-8). Let 29*z + 83*z - 33 + 23*z - 5 + 2*z**b - 9*z**2 = 0. What is z?
2/7, 19
Let o = 6533 + -6529. Let d(u) be the second derivative of -1/3*u**o - 1/5*u**5 + 0 + u - 16*u**2 + 20/3*u**3. Let d(g) = 0. What is g?
-4, 1, 2
Let s(m) be the first derivative of -m**3/7 + 387*m**2/7 - 49923*m/7 + 895. Find z, given that s(z) = 0.
129
Let u(o) = -o**3 + o**2 - 12*o - 12. Let x be u(-1