j + 16/9*j**2 - 7/9*j**3 - 19/45*j**5 + 5/18*j**6 - 25/12*j**4. Find u, given that q(u) = 0.
-1, -2/5, 2/3, 3
Suppose -197*n + 76 = -77*n - 101*n. Let x(m) be the second derivative of -7*m + 0*m**2 - 1/48*m**n + 0 - 1/8*m**3. Factor x(w).
-w*(w + 3)/4
Factor 10/7*u**4 + 0 + 2/7*u**5 + 8/7*u**3 + 0*u**2 + 0*u.
2*u**3*(u + 1)*(u + 4)/7
Let k(q) be the first derivative of 5*q**6/6 + 9*q**5 - 185*q**4/4 - 15*q**3 + 90*q**2 + 4326. What is y in k(y) = 0?
-12, -1, 0, 1, 3
Suppose -27*p + 25*p = 12. Let i(a) = -a**3 - 8*a**2 - 7*a - 6. Let h(j) = 2*j**3 + 17*j**2 + 14*j + 13. Let y(k) = p*h(k) - 14*i(k). Factor y(q).
2*(q + 1)**2*(q + 3)
Let s(x) be the third derivative of -x**6/720 - x**5/60 - 37*x**3/6 + 74*x**2. Let d(g) be the first derivative of s(g). Factor d(y).
-y*(y + 4)/2
Let z be (2 - (-120)/(-58)) + -24*115/(-1334). What is o in 2*o + 0 + 2/3*o**z = 0?
-3, 0
Let b(o) = 51*o**3 + 198*o**2 + 426*o + 198. Let d(f) = -2*f**3 - 3*f**2 - 2*f + 2. Let u(m) = b(m) + 27*d(m). Factor u(y).
-3*(y - 42)*(y + 1)*(y + 2)
Suppose -286016/5*y - 2618/15*y**2 - 2/15*y**3 - 285144/5 = 0. What is y?
-654, -1
Suppose 1858*f - 2112 = 1154*f. Determine i so that 4*i**f - 4 + 16/3*i**2 - 10/3*i - 4/3*i**4 - 2/3*i**5 = 0.
-3, -1, 1, 2
Let f(w) be the first derivative of -1 + 1/4*w**2 + 35/4*w - 1/12*w**3. Let f(t) = 0. Calculate t.
-5, 7
Let s(a) be the third derivative of 0*a**4 - 1/588*a**8 + 0*a - 2/245*a**7 + 0*a**3 - 15*a**2 + 0 - 1/70*a**6 - 1/105*a**5. Factor s(i).
-4*i**2*(i + 1)**3/7
Let v(g) = -45*g**5 + 30*g**4 + 60*g**3 - 30*g**2 - 69*g + 36. Let o(i) = -2*i**5 + i**4 - i + 1. Let d(a) = -18*o(a) + v(a). Solve d(x) = 0 for x.
-2, -1, 1/3, 1, 3
Let k(n) be the third derivative of 22/105*n**5 + 121/7*n**4 + 0*n**3 + 1/1260*n**6 + 0 + 0*n - 251*n**2. Factor k(r).
2*r*(r + 66)**2/21
Suppose 1590 = -s + 1666. Let x = s - 76. Factor 0 - 26/5*y**4 + x*y**2 + 0*y - 8/5*y**5 - 6/5*y**3.
-2*y**3*(y + 3)*(4*y + 1)/5
Let j(h) be the third derivative of h**7/2646 + h**6/2520 - h**5/1260 + h**4/6 - h**3 - 73*h**2 - 2*h. Let b(f) be the second derivative of j(f). Factor b(n).
2*(2*n + 1)*(5*n - 1)/21
Let t(r) be the third derivative of r**5/240 - 5*r**4/24 + 25*r**3/8 - 516*r**2. Factor t(k).
(k - 15)*(k - 5)/4
Let v be 1/(-3)*(1 + 2). Let w be 3/(v + -5) + (-44)/(-8). What is p in 13*p**5 + 3 - 4*p**2 - 12*p**w - p**4 + 2*p**2 - p + 6*p - 6*p**3 = 0?
-1, 1, 3
Let b(z) be the second derivative of -2/3*z**3 + 0 + 0*z**2 - 1/10*z**5 + 7/12*z**4 - 54*z - 1/30*z**6. Let b(j) = 0. Calculate j.
-4, 0, 1
Let d = 14753 - 14751. Factor 8/5*s**d - 8/5*s - 2/5*s**4 + 0 + 2/5*s**3.
-2*s*(s - 2)*(s - 1)*(s + 2)/5
Let z be (-17 + ((-14)/(-35))/((-56)/(-2030)))/((-5)/6). Determine j so that 16/3*j**4 - 64/3*j**2 - 64/3*j + 0*j**z + 0 + 4/3*j**5 = 0.
-2, 0, 2
Suppose -33 + 11 = 22*c. Let y(g) = -g**2 + g - 1. Let j(t) = -3*t**3 - 3*t**2 - 30*t + 12. Let b(o) = c*j(o) - 12*y(o). Determine i, given that b(i) = 0.
-3, -2, 0
Let k = -1183 + 1178. Let n be k/(-3) + (-39)/(-117). Factor 0*a**3 - 1/5*a**4 + 0*a + 1/5*a**n + 0.
-a**2*(a - 1)*(a + 1)/5
Let m = 393 - 391. Let v = 1796/225 + -144/25. Solve -m*d**2 + 4/9*d**3 - 2/3 + v*d = 0.
1/2, 1, 3
Factor 177/5*v**4 + 3748096/5 + 4088832/5*v + 1/5*v**5 + 11792/5*v**3 + 352352/5*v**2.
(v + 1)*(v + 44)**4/5
Suppose -27 = -88*r + 29 + 120. Find g such that 1/7*g**r - 1/7*g + 0 = 0.
0, 1
Let n(o) be the first derivative of -o**5/10 - o**4/8 + 14*o**3/3 + 4*o**2 - 96*o + 4458. What is p in n(p) = 0?
-4, 3, 4
Let a be 0 - (-11)/(462/28). Let s(f) be the first derivative of 1/2*f**4 + 0*f + 2/5*f**5 - f**2 + 36 - a*f**3. Determine z, given that s(z) = 0.
-1, 0, 1
Let -2/3*c**5 + 16/3 - 22/3*c**2 - 4*c + 2*c**4 + 14/3*c**3 = 0. Calculate c.
-2, -1, 1, 4
Let t(u) = 4*u**2 + 4*u. Let i(o) = 0*o**2 + 1 + 2*o**2 + o**2 - 4*o**2. Let c(q) = -2*i(q) - t(q). Find v such that c(v) = 0.
-1
Let w be (-5)/2 - (12 + 2652/20). Let m = -147 - w. Determine u so that -m - 3/10*u**2 - 1/10*u**3 - 3/10*u = 0.
-1
Let p = -2852/11 + 14304/55. Let q(g) be the first derivative of -3*g**4 + p*g**5 - 42 - 2*g**2 + 0*g + 4*g**3. Find a, given that q(a) = 0.
0, 1
Let k be (14868/(-7))/(-1)*1. Factor -24 - k*v**2 + 48*v + v**3 - 12 + 2111*v**2.
(v - 6)**2*(v - 1)
Let p(d) be the first derivative of -d**3 - 306*d**2 - 9028. Suppose p(f) = 0. Calculate f.
-204, 0
Suppose i = 2*q - 6, -74 = -5*i + 2*q - 72. Factor -1/5*t**i + 2 - 9/5*t.
-(t - 1)*(t + 10)/5
Factor -212*k**2 - 276*k - 347 + 697 - 350 - 62*k**2 + 2*k**3.
2*k*(k - 138)*(k + 1)
Suppose -2*w + 20 = -0*w + 4*f, -f + 32 = 2*w. Let i(m) = 185 + 257 + 83 + 3*m**2 + 78*m. Let u(l) = -1. Let c(t) = w*u(t) + i(t). Find b such that c(b) = 0.
-13
Let c(r) = 1863*r + 3. Let y be c(0). Suppose 2933/3*b**y + 844/3*b - 88/3 - 245/3*b**4 - 898*b**2 = 0. What is b?
2/7, 2/5, 11
Suppose -5*j = -17 + 2. Suppose -j = 3*r - 3*s, -2*r = r + 3*s - 21. Find l, given that -3*l**2 + 12*l**2 + 3 - 2*l**3 - l**r - 9*l = 0.
1
Let v(b) be the first derivative of b**3/9 - 110*b**2/3 + 436*b/3 - 4774. Suppose v(s) = 0. Calculate s.
2, 218
Let c(i) be the second derivative of -i + 4*i**2 - 1/2*i**5 + 6 - 7/6*i**4 + 8/3*i**3. Factor c(f).
-2*(f - 1)*(f + 2)*(5*f + 2)
Let y(d) = -d**2 - 19*d - 30. Let n be y(-17). Determine o, given that -o - 4*o - 36 + 31*o - n*o**2 - 2*o = 0.
3
Let g = 466 - 464. Let a(p) = 9*p**3 - 375*p**2 + 6838*p + 7222. Let n(b) = 29*b**3 - 1125*b**2 + 20513*b + 21667. Let m(j) = g*n(j) - 7*a(j). Factor m(u).
-5*(u - 38)**2*(u + 1)
Let d(u) = 2*u**3 - 2*u**2. Let y(h) = -8376*h**2 + 6*h**3 + 14*h**3 + 8186*h**2 + 3698*h. Let a(b) = 18*d(b) - 2*y(b). What is v in a(v) = 0?
0, 43
Let x(g) be the first derivative of -969/2*g**2 - 3/4*g**4 - 1083*g + 37*g**3 - 58. Factor x(l).
-3*(l - 19)**2*(l + 1)
Let h = -40514 + 769768/19. Suppose h*o**2 + 28/19 + 18/19*o = 0. Calculate o.
-7, -2
Suppose -4*r + 6 = -r, -15789 = -5*f - 2*r. Factor 3*t**3 - 31*t**2 - 8788 - 7*t**3 - 125*t**2 - f*t + 1129*t.
-4*(t + 13)**3
Let v(t) be the third derivative of -215*t**2 + 1/168*t**8 - 291/5*t**5 + 313/60*t**6 - 1800*t**3 + 0 + 405*t**4 - 4/15*t**7 + 0*t. Solve v(n) = 0 for n.
5, 6
Let m be ((-1631)/13 + 4)/(2/10). Let a = -607 - m. Factor -a*u - 2/13*u**3 + 0 + 6/13*u**2.
-2*u*(u - 2)*(u - 1)/13
Let o(y) be the third derivative of -y**6/420 - 79*y**5/70 - 663*y**4/4 + 2023*y**3/3 - 5*y**2 + 7*y + 14. Find g, given that o(g) = 0.
-119, 1
Let j(p) be the first derivative of p**4/12 - 34*p**3/9 - 76*p**2/3 + 373. Factor j(y).
y*(y - 38)*(y + 4)/3
Let g be (-12)/(-21) - 5035/9975. Let k(a) be the third derivative of 1/60*a**6 + 0*a + g*a**5 + 0*a**3 - 11*a**2 + 0 + 1/12*a**4. Factor k(v).
2*v*(v + 1)**2
Let r be ((-480)/576)/(7/(-60)). Factor 30/7*g + 2/7*g**3 - r + 18/7*g**2.
2*(g - 1)*(g + 5)**2/7
Let h be ((-1315)/25)/(((-35)/(-75))/(-7)). Let p = h - 789. Determine o, given that -1/4*o**3 + 3/4*o + 1/2 + p*o**2 = 0.
-1, 2
Let h = 331 - 215. Suppose -12*j**2 - 4 - h*j + 13 - 1 + 32 = 0. What is j?
-10, 1/3
Suppose 56405 = -188*a + 56781. Suppose 0 - 2*l**a + 0*l**3 + 0*l + 1/2*l**4 = 0. Calculate l.
-2, 0, 2
Suppose 0 = x - h, 8*h - 20 = -x + 4*h. Solve -15064*d**3 + 135 + 6*d**2 - 36*d**2 + 15056*d**3 + 72*d - 18*d**2 - 27 + x*d**4 = 0.
-3, -1, 3
Suppose -469 = -375*q + 262*q - 870*q + 1497. Factor n**3 + q - 3/2*n**2 + 1/2*n**4 - 2*n.
(n - 1)**2*(n + 2)**2/2
Let 455 + 1007*a + 984*a + 7*a**2 - 2091*a - 2*a**2 = 0. Calculate a.
7, 13
Let t(i) be the first derivative of i**5/35 - 3*i**4/28 - 11*i**3/21 + 3*i**2/14 + 10*i/7 - 1364. Find b, given that t(b) = 0.
-2, -1, 1, 5
Solve 2/13*l**2 + 26 + 4*l = 0 for l.
-13
Let i(t) = 2*t**3 + 0*t**3 + 119*t - 6*t**2 - 113*t. Let h(o) = 2*o**3 - 5*o**2 + 6*o. Let q(g) = 2*h(g) - 3*i(g). Factor q(k).
-2*k*(k - 3)*(k - 1)
Find j such that 20*j**2 + 36 + 18*j**2 + 22*j**2 - 204 - 58*j**2 - 16*j = 0.
-6, 14
Let y(f) = f**3 + f**2 + f + 1. Let h(j) = -j**3 - j. Let b(k) = -h(k) + y(k). Let q(l) = 8*l**3 + 6*l**2 + 16*l + 8. Let v(w) = 8*b(w) - q(w). Factor v(i).
2*i**2*(4*i + 1)
Let n be 68/(-255) - 1144/(-240). Let h = 8 + -13/2. Factor -n*g - h*g**2 + 6.
-3*(g - 1)*(g + 4)/2
Suppose f - 10 = g, 17*f - 16*f = 5*g + 26. Suppose 2*b + 0 - 2 - b**3 - f*b + 7*b = 0. Calculate b.
-2, 1
Let y(a) = a**3 + 6*a**2 +