 0. What is d?
-2, 0, 1, 2
What is j in 2/9*j**5 + 26/9*j + 4/3 - 4/9*j**4 - 4/3*j**3 + 8/9*j**2 = 0?
-1, 2, 3
Let r(j) = -j**2 - 222*j + 679. Let z be r(3). Let v(w) be the first derivative of 3*w**z + 8/3*w**3 + 34 - 24*w**2 - 32*w. Let v(x) = 0. Calculate x.
-2, -2/3, 2
Let h be (-1)/18*-6404 + (-2)/(-9). Suppose 5 = 2*a - 1. Find o, given that -a*o**5 + h*o - 116*o + 29*o**2 - 15*o**4 + 91*o**2 + 144 = 0.
-2, 3
Let s be 56/(-35)*((-687)/(-78) - 9). Factor 2/13*u - s + 2/13*u**2.
2*(u - 1)*(u + 2)/13
Suppose -5*x - 14 = -3*b + 8, -6 = -2*b - x. Let -6*m**3 - 30699*m**2 + b*m**3 + 30681*m**2 + 216 = 0. Calculate m.
-6, 3
Let c = -1055 - -1057. Suppose -r + 14 - 10 = -2*t, c*t - 16 = -4*r. Let -22/7*q**2 + 12/7*q + 0 + 8/7*q**3 + 2/7*q**r = 0. What is q?
-6, 0, 1
Let z = -114 + 76. Let s = z + 51. Suppose 20 - 45*p**3 - 42*p**4 - s*p**4 + 136*p - 76*p + 35*p**2 - 15*p**5 = 0. Calculate p.
-2, -1, -2/3, 1
Let n(j) = -20*j**3 - 8805*j**2 - 1935985*j + 1944820. Let b(t) = 9*t**3 + 4403*t**2 + 967993*t - 972409. Let h(x) = 5*b(x) + 2*n(x). Factor h(a).
5*(a - 1)*(a + 441)**2
Find m, given that 1/4*m**2 + 169/4*m + 0 = 0.
-169, 0
Suppose i = -3*u + 6, i - 2 = -124*u + 122*u. Let h(b) be the first derivative of 1/3*b**u - 1/6*b**2 + 17 + 1/3*b**3 + 0*b. Determine z so that h(z) = 0.
-1, 0, 1/4
Factor 147/4*h**3 + 1/4*h**4 - 147/4*h - 149/4*h**2 + 37.
(h - 1)**2*(h + 1)*(h + 148)/4
Let k = 847492/9 - 847432/9. Suppose 16/3*v**3 + 2/3 + 2/3*v - k*v**2 = 0. What is v?
-1/4, 1/2, 1
Let j(u) = -7*u**2 + u**3 - 30506 - 56*u + 30510 - 22*u. Let g be j(-6). Factor g*t + 2*t**3 + 13/3*t**2 + 1/3*t**4 + 4/3.
(t + 1)**2*(t + 2)**2/3
Suppose -20*d = 25*d + 18*d. Let x(o) be the first derivative of 2*o**4 + 15 + 4/3*o**3 + d*o - 2*o**2. Factor x(a).
4*a*(a + 1)*(2*a - 1)
Suppose 7*i = 8*i - 3. Let f(h) be the first derivative of 21 - 2/3*h**i - 2*h + 2*h**2. Factor f(d).
-2*(d - 1)**2
Let h(d) be the third derivative of 0 + 176*d**2 + 0*d - 32/15*d**3 - 1/150*d**5 + 3/10*d**4. Suppose h(q) = 0. Calculate q.
2, 16
Let q(w) = -67*w**2 - 4*w + 18. Let y(v) = -179*v**2 - 13*v + 54. Let g(n) = 8*q(n) - 3*y(n). Factor g(a).
(a - 2)*(a + 9)
Let d(s) be the first derivative of -2*s**5/15 - 3*s**4/2 - 4*s**3/3 + 16*s**2/3 + 4861. Factor d(g).
-2*g*(g - 1)*(g + 2)*(g + 8)/3
Let y be 426/27 + 26 + 800/(-20). Let -4/3*i**2 - 16/9*i**3 + 16/9 - 4/9*i**4 + y*i = 0. Calculate i.
-2, -1, 1
Let f(t) be the third derivative of -t**6/360 + 31*t**5/90 + t**4/72 - 31*t**3/9 + 228*t**2. Find m, given that f(m) = 0.
-1, 1, 62
Let z(v) be the first derivative of -1083*v**3 - 912*v**2 - 256*v - 1221. Determine h, given that z(h) = 0.
-16/57
Let x(t) = 10*t**2 - 20*t - 30. Let a(z) = -20*z - 2*z + 6*z**2 + 0 - 28 + 5*z**2. Let p(m) = -5*a(m) + 6*x(m). Let p(o) = 0. Calculate o.
-2, 4
Let w(f) = 24*f - 94. Let r be w(4). Suppose 4 = v + 2*v + r*g, 0 = -5*v + 2*g + 12. Solve -1/7*j**3 + 0*j + 0 + 0*j**v - 3/7*j**4 - 2/7*j**5 = 0 for j.
-1, -1/2, 0
Let q(w) be the first derivative of 2/3*w**3 - w**2 - 4*w - 10. Find x such that q(x) = 0.
-1, 2
Let z = -922/7 - -147541/1120. Let x(n) be the third derivative of -3/32*n**4 + z*n**6 + 0 + 1/80*n**5 - 1/280*n**7 + 11*n**2 + 0*n + 0*n**3. Factor x(r).
-3*r*(r - 3)*(r - 1)*(r + 1)/4
Let x(m) be the first derivative of m**4/4 + 13*m**3/2 + 18*m**2 - 45*m - 81. Let c(v) be the first derivative of x(v). Suppose c(n) = 0. Calculate n.
-12, -1
Suppose 0 = -3*o + o + 5*a + 68, -5*o + 189 = -3*a. Let w be (-2)/6 + o/9. Factor 6*y**2 - 13 - w*y**3 - 14*y**2 - 3 + 28*y.
-4*(y - 1)**2*(y + 4)
Let n be (-4070)/(-296) + (-2)/(-8). Let a(z) be the first derivative of 4/5*z**5 - 12*z - n + 4*z**4 - 8*z**2 + 8/3*z**3. Suppose a(q) = 0. Calculate q.
-3, -1, 1
Let q(h) = h**5 - h**2 - h - 5. Let l(p) = -7*p**5 + 3*p**4 + 2*p**2 + 6*p + 30. Let j(g) = -2*l(g) - 12*q(g). Let j(v) = 0. What is v?
-1, 0, 2
Determine h so that 519*h + 2892 - 732 + 317*h**2 - 2004*h - 47*h**2 - 5*h**3 = 0.
3, 48
Let s(q) be the second derivative of q**5/5 + 20*q**4 + 152*q**3 + 448*q**2 + 451*q + 3. Determine m, given that s(m) = 0.
-56, -2
Let s(f) be the second derivative of 79*f + 0 + 1/7*f**3 - 1/28*f**4 + 9/14*f**2. Determine b, given that s(b) = 0.
-1, 3
Let d(z) be the second derivative of z**5/110 + 19*z**4/66 - 70*z**3/33 - 8*z**2 + 1672*z. Let d(k) = 0. What is k?
-22, -1, 4
Let b be (-7)/(-4) + 7/28. Determine u so that -u - 22*u**3 - 10*u**3 + 30*u**3 + 6 + 3*u - 6*u**b = 0.
-3, -1, 1
Let t(v) = -5*v - 12. Let z be (-105)/40 - (-3)/(-8). Let i be t(z). Find y, given that -2*y**i + 0 - 14*y**2 + 26*y**2 + 0 = 0.
0, 6
Let b(k) be the second derivative of 1/4*k**5 + 4000*k**3 + 4*k - 10 - 50*k**4 - 160000*k**2. Factor b(x).
5*(x - 40)**3
Let p = 19 + -16. Determine h, given that -15*h**2 - 5*h**4 - 15*h**p - 12*h + 5*h + 2*h = 0.
-1, 0
Let j(k) be the third derivative of k**8/15680 + k**7/1176 + k**6/840 - k**5/35 + k**4/12 + 8*k**2 - 3. Let t(p) be the second derivative of j(p). Factor t(o).
3*(o - 1)*(o + 2)*(o + 4)/7
Let q(c) be the first derivative of c**5/20 + 3*c**4/16 - c**3/6 - 3*c**2/2 - 2*c + 853. Factor q(k).
(k - 2)*(k + 1)*(k + 2)**2/4
Let s be ((-288)/(-180))/((-22)/(-55))*(-1)/(-8). Factor 12*c + 23/2 + s*c**2.
(c + 1)*(c + 23)/2
Let m(n) be the first derivative of -2*n**3/63 - 272*n**2/21 - 36992*n/21 + 2393. What is f in m(f) = 0?
-136
Let o(y) be the first derivative of 23*y**4/34 + 52*y**3/51 + 4*y**2/17 - 162*y + 25. Let p(u) be the first derivative of o(u). Determine j so that p(j) = 0.
-2/3, -2/23
Let h be (-54)/(-99)*1496/612. What is m in -32/9*m**2 + 8/9*m**3 - 20/9*m**5 + 32/9*m**4 + 0 + h*m = 0?
-1, 0, 3/5, 1
Let d be ((-3)/2)/(1/2). Let i be (-10)/d - 8/(-12). Let -2*u**5 + 7 - 10*u**4 - 2*u**3 + i*u**2 + 14*u - 1 - 10*u**3 = 0. Calculate u.
-3, -1, 1
Let m(s) = -163*s + 32440. Let d be m(199). Factor 3/2*c**4 + 7*c**2 + 2*c - 13/2*c**d - 4.
(c - 2)**2*(c - 1)*(3*c + 2)/2
Let a(w) = w**3 - 7*w**2 - 9*w + 80. Let d be a(7). Suppose 0 = 4*r - 3*u, r - 18*u = -d*u. Factor -4/3*f**2 + 4/3*f - 4/3*f**3 + r + 4/3*f**4.
4*f*(f - 1)**2*(f + 1)/3
Let -547*z**3 - 8*z**2 - 9*z**2 + 1100*z**3 - 558*z**3 - 4 - 16*z = 0. What is z?
-2, -1, -2/5
Let y be 32/12 + 0 + (-1)/(-3). Factor 202*s + 8*s**y + 310 + 172*s**2 + 6*s**3 - 111 - 155.
2*(s + 1)*(s + 11)*(7*s + 2)
Determine a so that -1227/7*a - 408/7 - 9/7*a**2 = 0.
-136, -1/3
Suppose 2261 = 15*o - 19129. Let k be o/2387 + (-12)/(-22). Factor -8/7*h**3 - 6/7 + k*h + 2/7*h**4 + 4/7*h**2.
2*(h - 3)*(h - 1)**2*(h + 1)/7
Let d = 499 - 904. Let a be ((-1)/1)/(d/360). Solve -2/9*v**2 + 8/9 + 2/9*v**3 - a*v = 0.
-2, 1, 2
Find b, given that -30929574619/10*b**3 - 4/5 - 18834/5*b - 29559963/5*b**2 = 0.
-2/3139
Let x(f) = -5*f**2 - 875*f - 6120. Let h(g) = -g**2 - 219*g - 1530. Let q(i) = 15*h(i) - 4*x(i). Factor q(y).
5*(y + 9)*(y + 34)
Suppose 17*w = -90*w + 231 + 90. Let z(s) be the first derivative of -45 + 8/27*s**w - 1/18*s**4 - 1/3*s**2 + 0*s. Factor z(d).
-2*d*(d - 3)*(d - 1)/9
Let i be (3 - 4)*(-42)/10. Let m be -7*(-4 - -3) - 5. Find q such that -3/5*q**m - i*q + 24/5 = 0.
-8, 1
Factor -131*k**2 - 19*k**2 - 11*k + 42 + 41*k + 4*k - 110*k.
-2*(3*k - 1)*(25*k + 21)
Suppose -81*z - 420*z - 135*z = 0. Determine a, given that -54/11*a**3 + 6/11*a**4 + 144/11*a**2 - 96/11*a + z = 0.
0, 1, 4
Determine u, given that u**4 + 0*u**3 + 0 - u**2 - 2/5*u + 2/5*u**5 = 0.
-2, -1, -1/2, 0, 1
Let s(p) = p**3 - 3. Suppose 3*c = 3*q - 6, -1 = -5*c + 2*q + 1. Let u be s(c). Factor -2*t**4 - t**2 + 3*t**4 + u*t - 5*t.
t**2*(t - 1)*(t + 1)
Let u(q) be the first derivative of -1/54*q**4 - 1 + 0*q**3 + 0*q - 5/2*q**2 + 1/135*q**5. Let t(l) be the second derivative of u(l). Solve t(z) = 0 for z.
0, 1
Let p(g) be the second derivative of 0*g**2 + 38*g + 0 + 0*g**4 + 1/15*g**5 - 5/6*g**3 + 1/180*g**6. Let q(o) be the second derivative of p(o). Factor q(b).
2*b*(b + 4)
Let a be (-10500)/(-2700) + 6/54. Factor 0 - 3/4*y**3 - 1/4*y**2 + 3/4*y + 1/4*y**a.
y*(y - 3)*(y - 1)*(y + 1)/4
Let a(b) be the second derivative of b**8/1344 - 2*b**7/63 + 5*b**6/9 - 16*b**5/3 - 9*b**4 - 34*b + 1. Let z(h) be the third derivative of a(h). Factor z(j).
5*(j - 8)*(j - 4)**2
Let t(b) be the first derivative of -4 + 1/3*b**4 + 6*b**2 - 22*b - 10/3*b**3 + 1