0 + 0*n**4 + 0*n**2 - u*n**3 + 0*n = 0. What is n?
-1, 0, 1
Let -880/7*g**2 - 878/7*g + 0 - 2/7*g**3 = 0. Calculate g.
-439, -1, 0
Factor -1302*n + 2102*n + 74*n**2 + 3275 - 33*n**2 - 36*n**2 + 2480*n.
5*(n + 1)*(n + 655)
Let l(g) = -7*g**2 + 82*g. Let y(q) = -8*q**2 + 77*q. Let m(h) = 7*l(h) - 6*y(h). Suppose m(a) = 0. What is a?
0, 112
Suppose -43 = 23*d - 89. Suppose 0 = -d*c + 2*l + 10, 35*l - 8 = 39*l. Solve -19/5*v + 2/5*v**2 + 3/5*v**c + 6/5 = 0.
-3, 1/3, 2
Let v(h) be the second derivative of -3*h**7/56 - 5*h**6/8 - 163*h**5/80 - 3*h**4/16 + 3*h**3 - 2*h**2 - h - 3607. Suppose v(x) = 0. Calculate x.
-4, -1, 1/3
Let b be 5*(-2 - (-112)/55). Let u be (-10 - (3 - 2)) + (5 - 2160/(-330)). Factor -u + 10/11*m - b*m**3 - 2/11*m**2.
-2*(m - 1)**2*(m + 3)/11
Let o(a) = -3*a**2 - 24*a. Let d(c) = -2*c + 4. Let q(t) = -t**2 - t + 2. Let m(x) = d(x) - 2*q(x). Let l(k) = 2*m(k) + o(k). Find y such that l(y) = 0.
0, 24
Let k(q) be the second derivative of 0 - 1/3*q**4 - 58*q + 44/3*q**3 - 242*q**2. Find n, given that k(n) = 0.
11
Let x(a) = 2*a**3 + 26*a**2 + 5*a - 76. Let p be x(-14). Let b = 538 + p. Factor 0*o**3 - 2/9*o**2 + 2/9*o**4 + 0*o + b.
2*o**2*(o - 1)*(o + 1)/9
Factor -8100/7*z - 1440/7*z**2 - 6750/7 - 2/7*z**4 - 92/7*z**3.
-2*(z + 1)*(z + 15)**3/7
Let r be 3/(22/20 - (108/45)/(-6)). Let d(y) be the second derivative of 6*y**r + 1/3*y**4 - 8/3*y**3 + 0 + 7*y. Find v, given that d(v) = 0.
1, 3
Suppose 0 = s - 4*h - 17, -4*s + 4*h = -2*s - 22. Let t(p) = 2*p - 10. Let b be t(s). Factor 9/2*a**2 + a + b.
a*(9*a + 2)/2
Let t(v) be the first derivative of 2*v**3/3 - 29*v**2 - 1180. Factor t(z).
2*z*(z - 29)
Let h(w) be the third derivative of -1/54*w**4 - 1/270*w**5 + 0*w + 8/27*w**3 + 0 + 28*w**2. Factor h(u).
-2*(u - 2)*(u + 4)/9
Let z be (3/(-9))/(1/(-6)). Let g(s) = 4*s + 24. Let h be g(0). Factor 8*l**3 + 18 + 2*l**4 - 10*l**2 - 13*l**z - h*l + 19*l**2.
2*(l - 1)**2*(l + 3)**2
Let a be (32/(-60))/((-114)/665*-7) + (-62)/(-99). Solve -10/11*b**2 + 0 - a*b**5 + 6/11*b**3 + 2/11*b**4 + 4/11*b = 0.
-2, 0, 1
Let g(b) be the first derivative of b**3 - 87*b**2 - 177*b + 1532. Suppose g(u) = 0. What is u?
-1, 59
Factor -594195*i**2 - 23288*i - 184*i**3 - 17986 + 5*i**4 - 19055*i - 129*i**3 + 600624*i**2.
(i - 23)**2*(i - 17)*(5*i + 2)
Let y be -2*((-9)/3 - 3). Determine s, given that 2*s + y*s + 2*s + 2*s**2 + 2*s**2 = 0.
-4, 0
Suppose 2*a + 8 = 12. Factor 35*q - 6*q**2 - 15*q + 3*q**2 + 12 - 29*q**a.
-4*(q - 1)*(8*q + 3)
Let f(d) = d**2 - d + 3. Let o(i) = 2*i**3 + 124*i**2 + 494*i - 644. Let r(v) = 8*f(v) + o(v). Let r(b) = 0. What is b?
-62, -5, 1
Let k(m) = 26*m**2 + 125*m - 340. Let i(v) = -11*v**2 - 66*v + 170. Let b(r) = -7*i(r) - 3*k(r). Factor b(g).
-(g - 85)*(g - 2)
Let u = 1369966 + -12329476/9. Factor -520/3*w + u*w**2 + 52/9*w**3 + 2/9*w**4 + 200.
2*(w - 2)**2*(w + 15)**2/9
Let t(l) = -12*l**2 - 216*l + 217. Let f(j) = 10*j**2 + 1. Let u(k) = 2*f(k) + 2*t(k). Suppose u(p) = 0. What is p?
-109, 1
Let n(z) be the first derivative of -z**5/5 + 69*z**4/4 - 189*z**3 + 1647*z**2/2 - 1620*z - 87. Determine g so that n(g) = 0.
3, 60
Suppose 2/23*c**5 + 0 - 14/23*c**4 + 0*c + 14/23*c**3 + 30/23*c**2 = 0. What is c?
-1, 0, 3, 5
Let f(r) = -9*r**3 + 4*r**2 + 7*r + 4. Let a be f(-1). Factor -15*d**3 - 104*d**2 + 5*d**5 + a*d + 5*d**4 + 49*d**2 + 50*d**2.
5*d*(d - 1)**2*(d + 1)*(d + 2)
Let c(q) be the third derivative of q**6/60 + 3*q**5/10 + 13*q**4/6 + 8*q**3 + 2684*q**2. Suppose c(i) = 0. Calculate i.
-4, -3, -2
Let y(k) be the third derivative of k**5/270 - 4*k**4/27 - 44*k**3/9 - 318*k**2. Factor y(f).
2*(f - 22)*(f + 6)/9
Let s be (-8)/((-17)/(-493)*(0 + 2)). Let o = 121 + s. Determine d so that 2*d**o + 55*d**3 - 63*d**3 - 6*d**5 + 12*d**4 = 0.
0, 1, 2
Let i be (2 - 1)*-2 + -10 + 4. Let d(g) = g**3 + 9*g**2 + 10*g + 19. Let q be d(i). Factor 12*h**4 - 20*h**2 + 45*h**q + 34*h**2 - 12*h + 22*h**2.
3*h*(h + 2)**2*(4*h - 1)
Let l = 8021 - 5304. Factor -24 + 18*a**2 + 0*a + l*a**3 - 2720*a**3 - 3*a**4 + 12*a.
-3*(a - 2)*(a - 1)*(a + 2)**2
Solve -12544 - 1/3*v**4 + 40*v**3 + 26432/3*v - 1348*v**2 = 0.
2, 6, 56
Let h(v) be the second derivative of -1/160*v**6 + 0 - 9*v + 0*v**3 + 0*v**5 + 5*v**2 + 0*v**4. Let n(i) be the first derivative of h(i). Factor n(t).
-3*t**3/4
Let l(t) be the third derivative of -5/12*t**4 - 1/168*t**8 + 1/10*t**6 + 4/15*t**5 + 11*t**2 + 0 - 2*t**3 - 2/105*t**7 - 2*t. Solve l(o) = 0 for o.
-3, -1, 1, 2
Let y be 11/(143/(-52)) - (1 - 7). Let v be (2 - 110/52)/(-10*(-15)/(-200)). Suppose -28/13*a - 98/13 - v*a**y = 0. What is a?
-7
Let c(y) = -144 - 16*y**2 - 85*y - 34*y + 6*y - 46*y + 5*y. Let s(d) = 14*d**2 + 155*d + 146. Let r(i) = -5*c(i) - 6*s(i). Let r(f) = 0. What is f?
-39, -1
Let t = -34 - -6. Let f = 30 + t. Find g, given that -2*g**3 - 2*g - f*g - 12*g**2 + 4*g**2 - 2*g = 0.
-3, -1, 0
Let n(m) = -3*m**2 + 11*m - 12. Let k(p) = 3*p**2 - 12*p + 12. Let o = -29 - 50. Let s = -75 - o. Let u(v) = s*k(v) + 3*n(v). Factor u(l).
3*(l - 4)*(l - 1)
Let p(h) = -h**3 + 522*h**2 - 2011*h + 2002. Let c(m) = -m**3 + 261*m**2 - 1006*m + 1000. Let s(f) = -5*c(f) + 2*p(f). Factor s(g).
3*(g - 83)*(g - 2)**2
Let r(g) be the first derivative of -5*g**3/3 + 404*g**2/3 + 36*g - 12405. Factor r(l).
-(l - 54)*(15*l + 2)/3
Suppose 31*n = -222892 + 222954. Factor -66/5*v + 72/5*v**n - 6/5*v**3 + 0.
-6*v*(v - 11)*(v - 1)/5
Suppose 26*m - 68 = 9*m. Suppose -m*g - 199 = -219. Factor -45 - 45 + 90 + g*f**3.
5*f**3
Let p(w) be the third derivative of -w**8/5040 + w**7/315 - 17*w**3/6 + 44*w**2. Let r(i) be the first derivative of p(i). Factor r(k).
-k**3*(k - 8)/3
Suppose 3*v + 5*q - 78 = -22, -3*q + 20 = v. Let t(u) be the first derivative of -1/26*u**4 + 3/13*u**2 + 0*u**3 + v + 4/13*u. Factor t(j).
-2*(j - 2)*(j + 1)**2/13
Let y = 3131497/9 + -347943. Factor y*r**2 - 2/3*r - 2 - 2/9*r**3.
-2*(r - 3)**2*(r + 1)/9
Let n(y) be the first derivative of 4*y**3/3 + 104*y**2 + 400*y - 1007. Let n(b) = 0. What is b?
-50, -2
Let c(l) be the first derivative of -l**6/6 + 19*l**5/5 - 6*l**4 - 240*l**3 - 3809. Find o such that c(o) = 0.
-5, 0, 12
Let k(z) be the second derivative of -3*z**5/140 + 73*z**3/14 - 108*z**2/7 + 16*z + 22. Find u such that k(u) = 0.
-9, 1, 8
Let p(i) be the third derivative of -i**5/120 + 17*i**4/24 + 35*i**3/12 - 905*i**2. What is d in p(d) = 0?
-1, 35
Factor 5 + 2*f**2 + 9*f - f**2 + 11*f - 101.
(f - 4)*(f + 24)
Let c(r) be the first derivative of -r**5/60 + 13*r**4/36 - 35*r**3/18 - 49*r**2/6 - 50*r - 96. Let w(p) be the first derivative of c(p). Factor w(x).
-(x - 7)**2*(x + 1)/3
Let k be 1/2*((-3)/(-3) + 15). Suppose 7*b - j - 30 = -3, 3*b = 4*j + k. Factor -3/2*c + 0 + 0*c**3 + 3*c**b - 3*c**2 + 3/2*c**5.
3*c*(c - 1)*(c + 1)**3/2
Let h(p) be the second derivative of 0 - 1/4*p**6 - 3/8*p**4 - 1/28*p**7 + 0*p**3 + 0*p**2 - 21/40*p**5 - 55*p. Let h(l) = 0. What is l?
-3, -1, 0
Solve -5*w**4 - 30*w**2 - 9*w**4 + 168 - 3*w**3 + 13*w**4 - 108*w + 30*w**3 - 2*w**4 = 0 for w.
-2, 2, 7
Let f be ((-1)/2)/((-91)/42 - -2). Factor 10*x**2 + 22*x**4 - 34*x**f + 6*x**3 + 9*x**3 - 25*x**5 - 62*x**4 + 14*x**3.
-5*x**2*(x + 1)**2*(5*x - 2)
Suppose 0 = -13*w + 9*w + 3*x - 4, 0 = 3*x - 12. What is a in -2*a**2 + 2*a**2 + 2*a**2 - a**3 + 2*a**w + 5*a = 0?
-1, 0, 5
Let 3*l**3 + 1986*l - 334 - 375*l - 810*l**2 - 296 - 174 = 0. What is l?
1, 268
Suppose -1448/11*a**3 + 1448/11*a + 1446/11 - 2/11*a**4 - 1444/11*a**2 = 0. Calculate a.
-723, -1, 1
Let n(r) be the third derivative of -r**5/30 - 7*r**4/12 + 6*r**3 - 494*r**2 + 1. Suppose n(s) = 0. What is s?
-9, 2
Let i(w) = -4*w + 118. Let c be i(23). Suppose -3*n + 5 = -1. Factor 5*u**4 - 30*u**n - c*u - 29*u + 15*u - 15.
5*(u - 3)*(u + 1)**3
Let w = 2499472 + -7421584/3. Factor -2/3*v**4 + 112/3*v**3 + 21952/3*v - 784*v**2 - w.
-2*(v - 14)**4/3
Let r = 108011 + -108005. Factor -18*n**2 - r*n**3 + 0 - 1/2*n**4 + 0*n.
-n**2*(n + 6)**2/2
Let m(y) be the first derivative of 57 + 25/4*y**4 + 130*y**2 + 160/3*y**3 + 80*y. Factor m(z).
5*(z + 2)*(z + 4)*(5*z + 2)
Let j(l) = -2*l**5 + 37*l**4 + 9*l**3 - 12*l**2 - 17*l - 5. Let q(d) = -d**5 + 32*d**4 + 9*d**3 - 12*d**2 - 16*d - 4. Let n(w) = -4*j(w) + 5*q(w). Factor n(x).
3*x*(x - 1)*(x + 1)*(x + 2)**2
Let o(w) be the first derivative of w + 19 -