h + y - 0*y - 6, 4*y + 4 = 2*h. Suppose -h*k + 3 = -1. Determine z, given that -z**k - 73*z**4 - z**2 + 75*z**4 = 0.
-1, 0, 1
Let k(f) be the second derivative of -3*f**5/14 + f**4/6 + 14*f**3/3 + 48*f**2/7 - 912*f. Suppose k(q) = 0. Calculate q.
-2, -8/15, 3
Let y(r) be the third derivative of -r**6/24 - 21*r**5/4 - 455*r**4/12 - 100*r**3 - 40*r**2 - 3*r. What is d in y(d) = 0?
-60, -2, -1
Let 9861 + 2*z**2 + 9734 + 408*z + 8934 - 29353 = 0. What is z?
-206, 2
Let g(r) = -8*r**2 + 4*r. Let k(a) = -58*a**2 + 30*a. Let h = -290 - -246. Let v(w) = h*g(w) + 6*k(w). Determine n, given that v(n) = 0.
-1, 0
Let -2/7*n**5 - 256/7 - 32/7*n**4 + 92/7*n**2 - 122/7*n**3 + 320/7*n = 0. What is n?
-8, -2, 1
Let p(b) be the second derivative of -1/40*b**6 + 0 - 6*b - 21/2*b**2 + 2*b**3 + 1/10*b**5 + 7/8*b**4. Let a(c) be the first derivative of p(c). Factor a(t).
-3*(t - 4)*(t + 1)**2
Factor 0*r**3 - 128 - 33923*r**2 + 4*r**3 + 33947*r**2.
4*(r - 2)*(r + 4)**2
Solve q**2 - 18*q**3 + 1465 + 41*q + 6*q**2 - 1561 + 5*q**2 + 3*q**4 + 31*q = 0.
-2, 2, 4
Let r be (4/3)/((-4)/(-6)). Determine d so that 60 + 5*d**5 + 75*d**3 + 9*d**4 - 44*d**4 + r*d**2 - 80*d - 15*d**2 - 12*d**2 = 0.
-1, 1, 2, 3
Suppose 0 = 2*l - 3 - 7. Determine f, given that -15*f**3 + 180*f - 42 - 57*f**2 - 19 - 18*f**3 + 21*f**4 - 3*f**l - 47 = 0.
-2, 1, 2, 3
Suppose -3*j + 3*v = 3, j + 4*v = 2*j + 10. Let l be ((-85)/(-5))/(-17) + 19/3. Determine t, given that -l*t**j + 4/3*t**5 + 12*t**3 - 16*t + 0 + 8*t**4 = 0.
-3, -2, 0, 1
Let t = 53 - 10. Let i = t + -41. Suppose f**4 + 16*f**i - 2*f**3 + 7*f**3 + 3*f**3 = 0. Calculate f.
-4, 0
Suppose 6*o - 1144 + 1282 = 0. Let l be o + 26 - 2/2. What is u in 2*u**4 - 4/3*u**l - 2/3*u**5 - 2/3 - 4/3*u**3 + 2*u = 0?
-1, 1
Let a(v) be the third derivative of 27/64*v**4 + 1/320*v**6 + 27/16*v**3 + 0 + 3*v - 32*v**2 + 9/160*v**5. Determine s so that a(s) = 0.
-3
Let f(t) be the second derivative of -100/9*t**2 - 1/54*t**4 + 20/27*t**3 - 12 - t. Factor f(l).
-2*(l - 10)**2/9
Suppose -4*a = -r - 66, 0 = -3*a + 5*a - 4*r - 40. Suppose 4*n**3 - 11942*n - 12*n**2 + a + 11942*n = 0. Calculate n.
-1, 2
Let r be (-192)/(-10)*(-8)/((-560)/975). Let w = 268 - r. Factor -108/7*y + 36/7*y**2 + 108/7 - w*y**3.
-4*(y - 3)**3/7
Let k(x) = 57*x**3 - 2727*x**2 + 10440*x - 10320. Let s(q) = -17*q**3 + 818*q**2 - 3132*q + 3096. Let i(g) = 8*k(g) + 27*s(g). Factor i(o).
-3*(o - 86)*(o - 2)**2
Suppose -1648*n + 87*n - 56*n + 4851 = 0. What is k in -16/3*k**n - 4/3*k**4 + 0 + 4*k**2 + 24*k = 0?
-3, 0, 2
Let f = 1215126 - 285553572/235. Let n = f + 18/47. Factor n*o - 1/5*o**4 + 8/5*o**3 - 9/5 - 22/5*o**2.
-(o - 3)**2*(o - 1)**2/5
Let k = -12 - -59. Factor 41*n + 22*n + 2*n**2 - k*n + 14.
2*(n + 1)*(n + 7)
Let u be (3/(-4))/(18/(-24)) + 2. What is b in 10*b - 57*b - 7*b - 15*b**2 + 6*b**u - 5*b**2 + 20 = 0?
-2, 1/3, 5
Let z = -330 + 331. Let k be (-7 + 55/33)*-7*z. Let -64/3*f**3 - 2/3*f**5 + 32/3 - 32*f + k*f**2 + 6*f**4 = 0. What is f?
1, 2
Suppose 25*a - 607 - 293 = 0. Let r be a/224 - 2*3/(-48). Factor r*j + 2/7*j**2 + 0.
2*j*(j + 1)/7
Suppose 3*r = -5*x + 64, -90 = 22*x - 31*x - 4*r. Factor 0 + 18/11*q**x - 2/11*q**3 + 0*q.
-2*q**2*(q - 9)/11
Let i be 228/(-285)*20/(-6). Let b(k) be the third derivative of -9*k**2 - i*k**3 - 1/60*k**5 + 0*k - 1/3*k**4 + 0. Solve b(z) = 0.
-4
Let o(h) be the second derivative of -h**4/4 - 267*h**3/2 + 402*h**2 + 6*h - 254. Factor o(b).
-3*(b - 1)*(b + 268)
Solve -30 + 162*l**3 - 180*l**2 + 29*l**3 - 34 - 20*l**4 - 333*l**3 + 127*l + 129*l = 0 for l.
-4, 2/5, 1/2
Let n = 155291/5 - 31057. Let -2/5*l**3 - n*l**2 + 18/5*l - 2 = 0. What is l?
-5, 1
Let v(h) be the first derivative of 5*h**4/4 - 35*h**3 + 225*h**2 + 1036. Factor v(x).
5*x*(x - 15)*(x - 6)
Let g(m) be the third derivative of -m**9/20160 + m**8/1120 - m**7/210 - 31*m**4/24 + 42*m**2. Let a(d) be the second derivative of g(d). Factor a(y).
-3*y**2*(y - 4)**2/4
Let k(m) be the second derivative of -6*m**7/7 + 166*m**6/5 - 1513*m**5/5 + 909*m**4 - 900*m**3 + 400*m**2 - 490*m - 1. Suppose k(q) = 0. What is q?
1/3, 2, 5, 20
Factor 12*v**2 + 5 - 1928*v**3 - 5 - 8*v + 1924*v**3.
-4*v*(v - 2)*(v - 1)
Let f(n) = 153*n - 1317. Let p(l) = 19*l - 165. Let y(t) = -4*f(t) + 33*p(t). Let q be y(12). Factor 4/5*s**q + 4/5*s - 8/5*s**2 + 0.
4*s*(s - 1)**2/5
Factor -44*a**2 - 205*a - 20*a - 184*a**2 + 4*a**3 - 7*a.
4*a*(a - 58)*(a + 1)
Factor 262/9*y**2 - 172/3*y + 0 - 2/9*y**3.
-2*y*(y - 129)*(y - 2)/9
Let k be (833/35)/7 - (-17 - 2)/(-19). Find f, given that 0 - 12/5*f + 3/5*f**4 - k*f**2 + 3/5*f**3 = 0.
-2, -1, 0, 2
Factor -24*x**2 - 1/3*x**3 + 0 + 73/3*x.
-x*(x - 1)*(x + 73)/3
What is n in -48 + 1/5*n**2 + 56/5*n = 0?
-60, 4
Let b be (3 + -1)/(234/(-48) - -5). Let j = -14 + b. Factor 2*h + 66*h**j - 3 + 3 - 64*h**2.
2*h*(h + 1)
Suppose 24 + 13 = x. Suppose x - 181 = -12*z. Determine m so that -12 - m - 3*m**2 - 2*m - z*m = 0.
-4, -1
Suppose 187*q + 33 = 2*d + 190*q, 4*d + 55 = 5*q. Factor -1/5*n**4 - 168*n**2 + d - 59/5*n**3 + 180*n.
-n*(n - 1)*(n + 30)**2/5
Let z(f) be the third derivative of f**6/480 + f**5/80 - 3*f**4/32 - 11*f**3/6 + 27*f**2. Let g(c) be the first derivative of z(c). Find m such that g(m) = 0.
-3, 1
Factor 231*h - 1013*h**2 - 674 + 507*h**2 + 503*h**2 + 8.
-3*(h - 74)*(h - 3)
Suppose 418*j + 429 = 407*j. Let s(l) = -l**2 - 19*l + 46. Let i(v) = 6*v**2 + 113*v - 276. Let b(u) = j*s(u) - 6*i(u). Factor b(g).
3*(g - 2)*(g + 23)
Let n be ((-3)/7)/((-2490)/11620). Let 13/2*f**3 + 15*f**n + f**4 + 14*f + 4 = 0. What is f?
-2, -1/2
Factor -35*g + 16*g**3 - 18*g**3 - 2886*g**2 - 43*g + 2918*g**2.
-2*g*(g - 13)*(g - 3)
Let s = -353715 + 2463858/7. Let a = -1735 - s. Find n, given that a - 6/7*n - 8/7*n**2 = 0.
-1, 1/4
Let t(g) be the third derivative of g**8/1344 + g**7/168 + 7*g**4/6 - 40*g**2. Let w(a) be the second derivative of t(a). Factor w(f).
5*f**2*(f + 3)
Let q(j) = -j**3 + 17*j**2 + j - 5. Let i be q(17). What is c in 30*c - 13*c - i*c - c**2 - 8*c = 0?
-3, 0
Suppose f = -3*f + 116. Let v = 32 - f. Find d such that d - 6*d - 3*d**4 + v*d**2 + 3*d**3 + 2*d = 0.
-1, 0, 1
Let m(k) be the second derivative of k**4/24 - 13*k**3/12 - 17*k**2 + 3*k - 12. Determine n so that m(n) = 0.
-4, 17
Let n(g) be the third derivative of -19/120*g**6 + 4/5*g**5 + 0 - 1/30*g**7 - 63*g**2 + 0*g + 11/6*g**4 - 8/3*g**3. Determine h so that n(h) = 0.
-4, -1, 2/7, 2
Suppose -l = -5*o - 25, 5 + 20 = -2*l - 5*o. Let z(j) be the third derivative of 4/21*j**3 + 1/70*j**5 + l + 0*j - 7*j**2 - 2/21*j**4. What is g in z(g) = 0?
2/3, 2
Let f = 1171 - 1160. Let u be 348/5104 + 2/f. Factor u*q**2 + 1/2 - 3/4*q.
(q - 2)*(q - 1)/4
Let y(j) = -j**2 + 19*j + 46. Let f be y(21). Suppose 5*i - 3*c - 32 = 0, -f*i = -c - 0*c - 20. Find g, given that -13*g - 11*g + 26*g + 2*g**2 - i*g = 0.
0, 1
Suppose 0 = -f - 2*l + 1, 0*f - 3*l = -2*f + 16. Let y be (-1)/1 + 3/(6 - f). Determine d, given that 0*d**y - 10*d**2 + 14*d**2 = 0.
0
Let f(d) be the first derivative of 0*d - 605/6*d**2 - 5/12*d**4 + 110/9*d**3 + 37. Factor f(p).
-5*p*(p - 11)**2/3
Factor -5*i**3 - 550 + 61*i - 52*i + 108*i + 40*i**2 + 98*i.
-5*(i - 11)*(i - 2)*(i + 5)
Let m(f) = f + 1. Let g = -526 + 536. Let v(b) = -b**2 - 5*b - 1. Let p(k) = g*m(k) + 2*v(k). Factor p(z).
-2*(z - 2)*(z + 2)
Let z(o) = 47*o**2 - 233*o - 8. Let f be z(5). Let p(n) be the first derivative of 12 - 2*n**3 + 15*n + 27/2*n**f. Determine x so that p(x) = 0.
-1/2, 5
Find z such that -794 + 1932*z + 32*z**2 + 36*z**2 - 106*z**2 - 1136 + 36*z**2 = 0.
1, 965
Let t = -13009/91 - -1942/13. Determine u, given that 87/7*u - 6/7*u**2 + t = 0.
-1/2, 15
Let o be -8*(12/(-16) + (-29)/(-4)). Let l = o - -54. Solve 6*g + 12*g**2 - 8*g**l - 7*g**2 - 3 = 0.
1
Let r(h) = -26*h - 76. Let y be r(-3). Let p be ((-6)/y + 3)*21/126. Determine q so that p + 0*q**2 + 2/5*q**3 - 2/5*q = 0.
-1, 0, 1
Let p be 12 - (40/20 - (-4)/2). Factor 3*n**3 - 3*n**4 + 7*n**4 - p*n**4 + 0*n**3 + n**5.
n**3*(n - 3)*(n - 1)
Let g(v) be the third derivative of v**6/600 - 7*v**5/150 + 29*v**4/120 + 22*v**3/15 + 2543*v**2. Determine y so that g(y) = 0.
-1, 4, 11
Let i(t) = 21*t**2 + 4 - 4 + 7 - 21*t**4 + 6 - 2. Let o(p) = 0*p**4 + 2 + 3*p**2 - 4*p**4 + p**2. Let y(k) = 4*i(k) - 22*o(k). What is v in y(v) = 0?
-1, 0, 1
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