5*x + 6*t = 3*t - 74, -78 = -5*x + t. Suppose -2*a**3 - a + 14*a + 16*a**2 - a - 10*a - x = 0. Calculate a.
-1, 1, 8
Suppose -4*v - 3*h = 15, 5907*v - 5*h = 5910*v + 25. Determine b, given that 21/2*b + v + 3/4*b**2 = 0.
-14, 0
Suppose 105*w - 100*w = 5. Let k be w - (-4)/(-7) - 55/(-35). Determine v, given that 9/10*v + 4/5 + 1/10*v**k = 0.
-8, -1
Let m(l) = -3*l**2 + 91*l - 76. Let d(b) = -16*b**2 + 462*b - 380. Let k(f) = 2*d(f) - 11*m(f). Find q, given that k(q) = 0.
1, 76
Let -1/4*w**4 - 5/4*w**3 - 3/4*w + 0 - 7/4*w**2 = 0. Calculate w.
-3, -1, 0
Suppose 0 = 3*i - 46 + 40. Suppose -2*c - g + 37 = i*c, -3*c = -5*g + 1. Factor -3*s**5 + 25*s**2 - 4*s**4 + s**5 + 28*s**2 + c*s**3 - 37*s**2.
-2*s**2*(s - 2)*(s + 2)**2
Suppose -2 = -m - 2*g, -5*m - 9*g + 19 = -8*g. Determine a, given that -3*a**3 + 6*a**3 + 2*a**2 + 11*a + 16*a**2 + m*a = 0.
-5, -1, 0
Let u = 2382445081/1773555 - 34/93345. Let r = u + -1343. Determine x so that -r*x**4 - 2/19*x**5 + 0*x - 2/19*x**2 - 6/19*x**3 + 0 = 0.
-1, 0
Let m(q) be the first derivative of 16/7*q + 4/7*q**2 + 8/35*q**5 - 12/7*q**3 - 13/14*q**4 + 42 + 1/7*q**6. What is d in m(d) = 0?
-2, -1, 2/3, 2
Factor 37658547/4 + 10629/2*x + 3/4*x**2.
3*(x + 3543)**2/4
Let g = 41747/49690 + -399/9938. Let r = -2 + 2. Factor -2/5*f**4 + 2/5*f**2 + r - 4/5*f + g*f**3.
-2*f*(f - 2)*(f - 1)*(f + 1)/5
Let j(s) be the third derivative of 44/3*s**3 + 0 + 0*s + 7/12*s**4 - 1/30*s**5 - 289*s**2. Factor j(l).
-2*(l - 11)*(l + 4)
Let r(d) = d**4 + d**2 + d - 1. Let g(c) = 2*c**4 - 4*c**3 + 5*c**2 + 15*c - 12. Suppose 17*f = 19*f - 2. Let t(l) = f*g(l) - 3*r(l). Let t(h) = 0. Calculate h.
-3, 1
Let -631*h**2 - 5*h**3 - 54060*h + 9*h**2 - 652*h**2 + 244*h**2 - 104040 = 0. What is h?
-102, -2
Let f(h) be the second derivative of 3*h**5/20 - 125*h**4/24 - 399*h**3/4 - 49*h**2 + 8875*h. Factor f(c).
(c - 28)*(c + 7)*(6*c + 1)/2
Let a = 1459 + -1456. Let i(u) be the first derivative of -1/3*u**2 - 2/3*u**a + 0*u - 16. Determine j, given that i(j) = 0.
-1/3, 0
Let w(m) be the second derivative of -4*m**6/45 - 23*m**5/45 - 13*m**4/27 + 14*m**3/27 + 2*m**2/3 - 3*m + 39. Determine c, given that w(c) = 0.
-3, -1, -1/3, 1/2
Suppose -5*n = 4*g + 12, -9*g + 2 = -6*g + n. Suppose -8*s + 8 + 457*s**g - 464*s**2 + 8 - s**3 = 0. What is s?
-4, 1
Let p(a) be the first derivative of 0*a**4 + 10/3*a**3 + 6 - 5*a - a**5 + 0*a**2. Solve p(k) = 0.
-1, 1
Let z(p) = 2*p**2 + p - 2. Let n(k) = -10*k**2 - 72*k - 570. Let m(b) = 7*b - 155. Let w be m(22). Let v(l) = w*n(l) - 4*z(l). Let v(h) = 0. What is h?
-17
Solve -622176*l - 3046*l**3 + l**4 + l**4 - 536066*l + 1658700*l**2 - 497414*l**2 = 0 for l.
0, 1, 761
Let r be (2/(-24) - -2) + 85/20*(-31)/(-1581). Factor 0*m + 0 + 15/8*m**3 + 3*m**4 + 3/8*m**r + 3/2*m**5.
3*m**2*(m + 1)*(2*m + 1)**2/8
Let a = 357 + -357. Let l be 9/54*-3*a. What is s in 3/4*s**3 + l*s + 3/4*s**2 + 0 = 0?
-1, 0
Let q(u) be the third derivative of u**5/330 - 7*u**4/22 - 43*u**3/33 + 6*u**2 + 136*u. Solve q(a) = 0 for a.
-1, 43
Let y be (10 - 2905/(-14))/516. Let d = y - 2/43. Solve -1/2*a + 1/2 + 1/2*a**3 - 1/8*a**4 - d*a**2 = 0.
-1, 1, 2
Let t be (-40)/(-69) - (15 - (-4164)/(-276)). Let z be 36/16 - (-1)/(-4). Factor -1/6*a + t*a**z + 0.
a*(4*a - 1)/6
Let l be 6 + -8 + 4 + 2. Let r be 2*(-5)/(-140)*l. Factor 6/7*n + 0 + r*n**2.
2*n*(n + 3)/7
Factor -10*o**2 + 58*o**2 - 978*o - 47*o**2 + 521896 + 286305 - 820*o.
(o - 899)**2
Suppose 1/2*v**2 + 34322 + 262*v = 0. What is v?
-262
Let w(x) be the second derivative of -2/3*x**3 + 0 + 20*x + 5/2*x**2 + 1/6*x**4. Let u(r) = -4*r**2 + 8*r - 9. Let o(j) = 6*u(j) + 10*w(j). Factor o(y).
-4*(y - 1)**2
Factor -79/5*f**2 + 1/5*f**3 + 78/5*f + 0.
f*(f - 78)*(f - 1)/5
Suppose -4*v - 3*b = -9, -57*v + 5*b - 7 = -61*v. Let k(l) be the second derivative of 0*l**2 - 1/3*l**v + 0 + 27*l + 1/4*l**4. Solve k(w) = 0 for w.
0, 2/3
Let g(i) be the second derivative of 3*i**5/40 - 79*i**4/2 + 110*i + 2. Determine h so that g(h) = 0.
0, 316
Let p be 2*(-4)/(-4)*3/3. Factor 80*z**4 + 168*z**3 + 148*z - p*z**5 + 36 + 6*z**5 + 128*z**4 + 232*z**2 - 156*z**4.
4*(z + 1)**4*(z + 9)
Let c be ((-28)/16)/7 + (-3)/(-12). Suppose 5*q + q - 1746 = c. Let 4*a**3 + 0*a**4 + q*a**2 - 2 + 2*a**4 - 291*a**2 - 4*a = 0. Calculate a.
-1, 1
Let x(w) be the third derivative of -w**6/480 - 7*w**5/40 - 377*w**4/96 + 2392*w**2. Factor x(m).
-m*(m + 13)*(m + 29)/4
Suppose 24 = 2*c + 2*c. Suppose 0 = -14*w + c*w + 40. Let -18*m**2 - 3*m + 9 - w*m**5 + 9*m**4 + 2*m**5 + m**3 + 5*m**3 = 0. What is m?
-1, 1, 3
Let g(j) be the second derivative of -j**5/120 + 13*j**4/8 - 399*j**3/4 + 3249*j**2/4 + 2*j + 45. Factor g(y).
-(y - 57)**2*(y - 3)/6
Let b(s) be the third derivative of 1/200*s**6 + 1/40*s**4 + 0*s**3 + 0*s - 59*s**2 - 1/50*s**5 + 0. Factor b(m).
3*m*(m - 1)**2/5
Let i(g) = 5*g**2 + 2. Let w(p) = 475*p + 461. Let t(b) = -2*i(b) - w(b). Factor t(a).
-5*(a + 1)*(2*a + 93)
Let j(u) be the third derivative of -u**5/240 + 7*u**4/16 + 478*u**2. Factor j(y).
-y*(y - 42)/4
Suppose -2*a + 3*l - 17 = 0, 0 = 4*a - 0*a - 3*l + 49. Let x be a/(-18)*((-152)/(-16) - 8). Factor -1/3*j**2 + 0*j + x.
-(j - 2)*(j + 2)/3
Factor 611524/3 + 1/3*r**4 - 408204*r + 614653/3*r**2 - 522*r**3.
(r - 782)**2*(r - 1)**2/3
Let c be (-285)/228*(-120)/50. Let g(u) be the first derivative of 1/5*u**c + 3/5*u - 3/5*u**2 + 41. Find p, given that g(p) = 0.
1
Let a(c) = -4*c - 29. Let m be a(-8). Suppose -8*t + m*t = -150. Find x such that 3*x**3 - 33*x**2 + t*x**2 - 2*x - 4*x = 0.
-1, 0, 2
Let c(z) be the second derivative of z**7/16 + 31*z**6/144 - z**5/48 - 58*z**4/3 - 167*z. Let a(g) be the third derivative of c(g). Factor a(f).
5*(f + 1)*(63*f - 1)/2
Let k = 274/397 - 699/1588. Factor -7/4*h**3 - 9/4*h + 0 - k*h**4 - 15/4*h**2.
-h*(h + 1)*(h + 3)**2/4
Suppose 172/9*f**2 + 104/3*f - 26/3*f**3 - 656/9 - 2/9*f**4 = 0. What is f?
-41, -2, 2
Suppose -5935/4*b**4 + 14161/4 + 175223/2*b**3 + 25/4*b**5 - 127687/4*b + 107279/2*b**2 = 0. What is b?
-1, 1/5, 119
Let c be (-4959)/(-11020)*(-5)/(-3). Factor 9/8*f**2 + 1/8*f**3 + c*f - 2.
(f - 1)*(f + 2)*(f + 8)/8
Suppose -602*f = -193*f + 476*f - 2655. Factor f - 3/4*w**2 + 3/4*w**3 - 3*w.
3*(w - 2)*(w - 1)*(w + 2)/4
Let n be ((-1)/(-1))/((4 - 1)/6). Determine i so that -3*i**2 + 7*i**2 - i**n - 162*i - 922 + 3109 = 0.
27
Let x(j) be the first derivative of -12/5*j**2 + 5*j - 1/15*j**3 + 60. What is q in x(q) = 0?
-25, 1
Let f(k) be the first derivative of -k**6/315 - 7*k**5/20 + 37*k**4/84 - 95*k**3 - 159. Let a(n) be the third derivative of f(n). Solve a(m) = 0 for m.
-37, 1/4
Let d(w) be the third derivative of w**7/70 + 79*w**6/8 + 197*w**5/10 - 2*w**2 + 98*w. Let d(l) = 0. What is l?
-394, -1, 0
Let g(m) be the first derivative of -m**9/756 - m**8/420 + m**7/210 + m**6/90 - 2*m**3 + 5*m + 63. Let i(k) be the third derivative of g(k). Factor i(l).
-4*l**2*(l - 1)*(l + 1)**2
Let d(s) be the first derivative of -1/15*s**5 - 40*s**3 + 200/3*s**2 - 13/4*s**4 + 0*s + 20. Factor d(c).
-c*(c - 1)*(c + 20)**2/3
Let v(h) be the second derivative of h**4/18 + 752*h**3/9 + 141376*h**2/3 - 775*h. Find y, given that v(y) = 0.
-376
Solve -2724*r + 6*r**5 - 3560*r**2 + 8996995*r**4 - 8997467*r**4 - 2*r**5 + 4032 + 2720*r**3 = 0.
-1, 1, 3, 112
Let v(p) be the second derivative of -p**6/180 + p**5/15 - p**4/4 + 4*p**3/9 - 52*p**2 + 2*p - 10. Let l(h) be the first derivative of v(h). Factor l(j).
-2*(j - 4)*(j - 1)**2/3
Let a be 14 + 380/20 - -3. Determine n, given that 66*n + 1/2*n**4 + a + 37*n**2 + 15/2*n**3 = 0.
-6, -2, -1
Let q(t) = -t**4 - 2*t**3 + t + 1. Let c(i) = -4 - 17*i - i - 26*i**2 + 112*i**3 + 110*i**3 + 6*i**4 - 224*i**3. Let u(v) = -c(v) - 4*q(v). Factor u(f).
-2*f*(f - 7)*(f + 1)**2
Suppose 0*n + 2*n - 24 = 4*k, -5*k - 27 = -n. Factor -63*m - 47300 - n*m**2 + 46578 - 13*m.
-2*(m + 19)**2
Let j(q) be the second derivative of -q**7/21 + 17*q**6/15 - 27*q**5/10 - 193*q**4/6 - 232*q**3/3 - 84*q**2 + 9*q - 328. Factor j(a).
-2*(a - 14)*(a - 6)*(a + 1)**3
Let l be (-6)/9 - (-34)/6. Let g be -24*15/(225/(-5)). Solve 4*i**2 - l + 5 - 8*i - 4 + g = 0 for i.
1
Let w be (2 + 1)*((-1330)/152 + 9). What is z in 0 + 3/4*z + w*z**2 = 0?
-1, 0
Let p(a) = 6*a**2 - 1. Let i(x) = -22*x**2 + 194*x + 384. Let v(h) = i(h) + 4*p(h). Factor 