ve -36/5*t**2 - 14/5 - 8*t - r*t**3 + 2/5*t**4 = 0.
-1, 7
Let q(b) = 27*b + 81. Let a(c) = 2*c - 1. Let g(y) = 5*a(y) + q(y). Let i be g(-2). What is t in -t**i + 1/2*t**5 + 0 + 0*t**3 + t**4 - 1/2*t = 0?
-1, 0, 1
Let q(h) = h**3 - 88*h**2 + 5*h + 100. Let p(v) = -2*v**3 + 173*v**2 - 12*v - 201. Let t(o) = 6*p(o) + 14*q(o). Factor t(z).
2*(z - 97)*(z - 1)*(z + 1)
Let k(p) be the third derivative of -7/200*p**6 + 1/25*p**5 + 0*p**4 + 0 + 1/175*p**7 + 0*p**3 + 53*p**2 + 1/560*p**8 + 0*p. Factor k(y).
3*y**2*(y - 1)**2*(y + 4)/5
Suppose -18 = -9*k + 18. Let y be (-4 - 0)*k*-1. What is g in 12*g**3 + 3*g**2 - 9*g**5 - y*g - g**5 + 8*g**4 + 6*g**5 - 19*g**2 = 0?
-1, 0, 2
Suppose 0 = -5*f - 4*v + 35 - 4, 0 = 5*f - 5*v + 5. Suppose 13 = 2*p - o - 2*o, -f*p = -o - 9. Find a such that 5/3 + 1/3*a**p + 2*a = 0.
-5, -1
Suppose 0*r + 27 = -5*j + 2*r, -4*j - 44 = 4*r. Let k be (-5)/102 - (j/42)/1. Factor -50/17 - 20/17*c - k*c**2.
-2*(c + 5)**2/17
Let m = 16515476/884757 - 4/294919. Factor 68/3*n**2 + m*n + 4/3*n**3 - 128/3.
4*(n - 1)*(n + 2)*(n + 16)/3
Suppose -s + 3 = 2, s = 5*m - 19. Determine b, given that 16*b**2 - 12*b**5 - 28*b**4 + 21*b - 4*b**2 - 9*b**3 - m + 11*b**2 + 9 = 0.
-1, -5/6, -1/2, 1
Let q be 1911/4116 + 1/((308/8)/11). Suppose -45/4*i - q*i**2 - 39/2 = 0. Calculate i.
-13, -2
Let l be (2 - 42/(-3))*-2. Let h be (2 - 6 - 136/l)*10. Determine j, given that 2 - 3/2*j**3 + 3/2*j - h*j**2 + 1/2*j**4 = 0.
-1, 1, 4
Let b = 23864/3 - 7944. Let g(y) = -y**3 + 5*y**2 - 4*y. Let h be g(3). Factor -h*p**2 + b*p + 8/3.
-2*(p - 2)*(9*p + 2)/3
Let f = 94 - 92. Let c be (f - (-12)/(-15))/(8/20). Determine x so that -2*x - 5*x**4 - 151*x**3 - c*x + 136*x**3 - 15*x**2 = 0.
-1, 0
Let z(h) = -2*h**2 + 94*h + 52. Let u be z(40). Let i = -11626/19 + u. Determine o, given that 6/19*o**3 + i*o - 2/19*o**4 - 6/19*o**2 + 0 = 0.
0, 1
Let a(m) be the second derivative of -7*m**4/27 - 878*m**3/27 + 28*m**2 + 5200*m. Let a(w) = 0. Calculate w.
-63, 2/7
Let j(r) be the third derivative of -r**6/4 - r**5 - 3*r**4/8 - 64*r**2. Let f(x) = -3*x**3 - 6*x**2 - x. Let q(a) = -21*f(a) + 2*j(a). Factor q(o).
3*o*(o + 1)**2
Factor -30*g**3 + 1/2*g**4 - 1/2*g**2 + 0 + 30*g.
g*(g - 60)*(g - 1)*(g + 1)/2
Let j = 4819 - 4810. Let h(t) be the first derivative of j + 5/3*t**3 + 5*t + 5*t**2. Suppose h(n) = 0. Calculate n.
-1
Let j be (-1)/9*21/42*0/1. Suppose 0*y**3 + j + 6/11*y**2 - 2/11*y**4 - 4/11*y = 0. Calculate y.
-2, 0, 1
Let a be 2/(-5)*(-20)/14. Suppose -165*p - 682803 = -683133. Factor 26/7*o**2 + a*o + 0 + 54/7*o**3 + p*o**5 + 46/7*o**4.
2*o*(o + 1)**3*(7*o + 2)/7
Let f(s) be the first derivative of -s**6/30 + 2*s**5/25 + 3*s**4/20 - 4*s**3/15 - 2*s**2/5 + 385. What is x in f(x) = 0?
-1, 0, 2
Let p(s) be the second derivative of s**7/14 - 7*s**6/10 + 27*s**5/10 - 5*s**4 + 4*s**3 + 3066*s. What is u in p(u) = 0?
0, 1, 2
Let w be (1/1 + -1)/(-12 + 13). Suppose -3*a = -w*a - 198. Factor l**5 + 8*l**5 + 54*l**2 - 7 + 21*l + a*l**3 + 39*l**4 + 10.
3*(l + 1)**4*(3*l + 1)
Let j(u) = 21*u + 294. Let h = -500 - -486. Let z be j(h). Factor 0 + 1/6*n**5 + 0*n**2 + 2/3*n**3 - 5/6*n**4 + z*n.
n**3*(n - 4)*(n - 1)/6
Solve 405 + 37/5*a**4 + 729*a + 1/5*a**5 + 2034/5*a**2 + 90*a**3 = 0 for a.
-15, -3, -1
Let f(v) be the first derivative of 3*v**4/8 - 10041*v**3/2 + 100821681*v**2/4 - 112483388769*v/2 - 5623. Determine m so that f(m) = 0.
3347
Find d, given that 233/4*d**3 - 1047/4*d**2 + 3/2*d**4 - 43 + 300*d = 0.
-43, 1/6, 2
Factor 2*m**2 - 820*m + 360*m + 252*m - m**2 - 5*m**2.
-4*m*(m + 52)
Let 8/3*u**2 + 1/12*u**3 + 5/2 + 61/12*u = 0. Calculate u.
-30, -1
Solve -5368/9*s**2 + 6488/9*s**3 - 25984/9*s - 226/9*s**4 + 25088/9 + 2/9*s**5 = 0 for s.
-2, 1, 2, 56
Let b(o) = -12*o**2 - 361*o + 373. Let t(k) = 15*k**2 + 357*k - 372. Let l(d) = 6*b(d) + 5*t(d). Factor l(y).
3*(y - 126)*(y - 1)
Let g = 127561/2 - 63779. Let 3/4*l - 3/2*l**2 - 3/4*l**5 + 0*l**3 + 0 + g*l**4 = 0. What is l?
-1, 0, 1
Determine g, given that 9/2*g + 9/4*g**3 - 75/4*g**2 + 12 = 0.
-2/3, 1, 8
Suppose 38*w - 190 = 152. Let p be ((-9 + w)/(6/3))/3. Factor -1/9*d + 1/9*d**3 + 0 + p*d**2.
d*(d - 1)*(d + 1)/9
Let q = -783915 - -10195759/13. Find o such that 12288/13*o + 66/13*o**4 + 2/13*o**5 + 8192/13 + q*o**2 + 64*o**3 = 0.
-8, -1
Let r(a) = a**2 + 2*a - 2. Let n(q) = 2*q**2 + 24*q - 25. Let l(c) = 34*c + 241. Let v be l(-7). Let h(j) = v*r(j) - 3*n(j). What is t in h(t) = 0?
-23, 1
Let s(i) be the first derivative of -2*i**6/15 - 2*i**5 - 11*i**4 - 24*i**3 + 128*i + 95. Let l(g) be the first derivative of s(g). Factor l(r).
-4*r*(r + 3)**2*(r + 4)
Let p = -6638 + 6644. Let o(u) be the second derivative of 0 + 1/3*u**3 + 39*u + 0*u**2 + 11/10*u**5 - 7/18*u**p - 37/36*u**4. What is g in o(g) = 0?
0, 2/7, 3/5, 1
Let i(s) be the first derivative of 12/7*s + 4/21*s**3 - 1/7*s**4 + 10/7*s**2 - 30. Let i(f) = 0. Calculate f.
-1, 3
Suppose 0 = -s + 4, -4*s = -4*j + s + 300. What is y in y**2 + 92 + 237 - j*y + 1271 = 0?
40
Let r = 281/495 - 43/99. Let n(h) be the first derivative of r*h**3 + 12/5*h**2 - 1 + 72/5*h. Factor n(a).
2*(a + 6)**2/5
Let z(s) be the first derivative of -s**5/35 - 305*s**4/28 + 307*s**3/7 - 923*s**2/14 + 44*s - 348. Solve z(h) = 0 for h.
-308, 1
Let d(t) be the second derivative of 8/3*t**3 - 4*t**2 + 0 - 108*t + 5/6*t**4. Factor d(w).
2*(w + 2)*(5*w - 2)
Suppose -36*o + 356 + 3427 = 8*o + 53*o. Find q such that -1521/2 - 1/2*q**2 + o*q = 0.
39
Let v be 1/(-6 + (-210)/(-36)). Let c be ((-64)/(-336))/((-4)/v). Find j such that c*j**4 - 80/7*j + 4/7*j**3 - 64/7 - 24/7*j**2 = 0.
-2, 4
Let c = 6525 - 6520. Let s(o) be the third derivative of 5*o**2 + 0*o**3 + 0*o + 0 - 5/72*o**4 + 1/144*o**6 - 1/72*o**c. Suppose s(q) = 0. What is q?
-1, 0, 2
What is b in 7860*b**2 - 6938*b + 448 + 704 + 256*b**3 + 305*b**2 - 165*b**2 + 830*b = 0?
-32, 3/8
Let i be (-65)/26*132/1010. Let u = 2/303 - i. Let 2/3*q**4 + 0*q + 0 - 1/3*q**5 - u*q**3 + 0*q**2 = 0. What is q?
0, 1
Let w be (2*5/105)/(3 - 18/7). Suppose 28/9*o**3 - w*o**4 + 100/9*o + 250/9 - 40/3*o**2 = 0. Calculate o.
-1, 5
Determine c so that -7/5*c**2 - 1/5*c**3 + 36 + 24/5*c = 0.
-6, 5
Let v(u) be the first derivative of -3*u**5/25 - 21*u**4/20 + 6*u**3/5 + 108*u**2/5 - 1156. Find w, given that v(w) = 0.
-6, -4, 0, 3
Let u(r) = 2*r**3 + 4*r**2 - 6*r + 4. Let n be u(-3). Determine x so that -22 - 40*x + 15*x**3 - 15*x - 15*x**2 - 8 + 8*x**4 - 3*x**n = 0.
-3, -1, 2
Factor -270/7*h**2 - 425/7*h - 8/7*h**4 - 76/7*h**3 - 250/7.
-(h + 2)*(2*h + 5)**3/7
Let h = 41262891211/61793861760 + 1/33492608. Let n = h - 2/1845. Factor 16/3*z - 6 + n*z**2.
2*(z - 1)*(z + 9)/3
Let s(z) = -492*z**2 + 12447*z - 4989. Let y(k) = -275*k**2 + 6224*k - 2495. Let g(u) = 5*s(u) - 9*y(u). Find r such that g(r) = 0.
-415, 2/5
Let v(r) be the first derivative of -41/17*r**2 + 106 + 2/51*r**3 + 80/17*r. Suppose v(w) = 0. Calculate w.
1, 40
Let z be 73854/44 - 6/(-4). Let h = z - 1680. Factor 8/7*f**2 + 0 + 4/7*f**4 - 12/7*f**3 + h*f.
4*f**2*(f - 2)*(f - 1)/7
Let s(q) be the first derivative of 20*q - 40 + 12*q**2 + 4/3*q**3. Factor s(a).
4*(a + 1)*(a + 5)
Suppose -k - 2*u + 4 = 0, -u = 5*k - 2*u - 53. Suppose k*h**2 - 465 - 473 - 5*h**4 + 938 + 5*h**3 = 0. What is h?
-1, 0, 2
Let t = 211 - 209. Factor -13*w**2 - 31*w + 135 + 17*w**2 + 6*w**2 - 29*w - 5*w**t.
5*(w - 9)*(w - 3)
Let -13/5*a - 17/2*a**2 + 29/10*a**4 + 5/2*a**3 + 1/10*a**5 + 28/5 = 0. Calculate a.
-28, -2, -1, 1
What is u in -54/13*u**2 - 18/13*u**5 - 20/13*u - 58/13*u**4 + 150/13*u**3 + 0 = 0?
-5, -2/9, 0, 1
Let t(u) = -u**2 - 7*u + 8. Let h be t(-6). Let n be (-120)/(-35) - 6/h. Factor -6*w**3 + 3*w**4 + 4*w - 2*w**n + w**3.
w*(w - 2)*(w - 1)*(3*w + 2)
Let l(x) be the first derivative of 0*x + 0*x**4 + 0*x**2 + 0*x**3 - 21 - 4/5*x**5 + 2/3*x**6. Suppose l(v) = 0. Calculate v.
0, 1
Find d, given that -2/11*d**4 + 36/11*d**2 - 30/11*d**5 + 540/11*d**3 - 2430/11*d - 162/11 = 0.
-3, -1/15, 3
Let l(v) be the second derivative of -v**5/20 - v**4/2 + 6*v**3 - v**2 + 63*v. Let k(n) be the first derivative of l(n). Factor k(y).
-3*(y - 2)*(y + 6)
Let r(h) be the second derivative of h**5/30 + 7*h**4/6 - 130*h**3/9 + 442*h. Factor r(d).
2*d*(d - 5)*(d + 26)/3
Let z(l) be the first derivative of -l**6/720 + l**5/60 + 7*l**4/16 - 4*l*