 be the first derivative of n(c). Factor r(l).
2*(l - 2)*(l - 1)*(l + 1)/7
Let c(x) be the third derivative of x**7/168 - x**6/180 - 3*x**3/2 - 2*x**2. Let n(y) be the first derivative of c(y). Factor n(k).
k**2*(5*k - 2)
Solve -27/4 - 27/8*r**3 + 51/8*r**2 + 27/8*r + 3/8*r**4 = 0.
-1, 1, 3, 6
Suppose 2*x + b - 1 = 0, x + 2*x - 12 = 2*b. Let 4*k**2 + 3*k**2 + 9*k - 5*k - 3*k**x = 0. What is k?
-1, 0
Factor o**3 + 3*o**2 + 1206*o - 1206*o.
o**2*(o + 3)
Let y(g) = -g - 3. Let d be y(6). Let n = d - -13. Suppose n - 2*p + 3*p**2 - 10 - p = 0. What is p?
-1, 2
Let k(m) be the second derivative of m**4/4 - 8*m**3 + 45*m**2/2 + 210*m. Factor k(l).
3*(l - 15)*(l - 1)
Let f(n) be the first derivative of n**4/7 + 4*n**3/21 + 250. Factor f(r).
4*r**2*(r + 1)/7
Let c be (2 - 150/63)*57/(-76). Factor 4/7*p - c - 2/7*p**2.
-2*(p - 1)**2/7
Let o(l) = 5*l. Let s be o(0). Let c(v) be the first derivative of 1/2*v**2 - 4/3*v**3 + s*v - 4/5*v**5 + 1 + 3/2*v**4 + 1/6*v**6. Factor c(n).
n*(n - 1)**4
Suppose -g = -4*c + g + 20, 0 = -4*c - g + 14. Suppose c*z = 5*j - 1 - 5, 2*j + 2*z = 6. Factor 2/11*t**3 - 2/11*t + 2/11*t**j - 2/11.
2*(t - 1)*(t + 1)**2/11
Let r = 13 - 13. Suppose r*z + 20 = 5*z. Factor 2*o**4 - 14*o**z - 9*o**3 - 3*o**4 + 6*o**2.
-3*o**2*(o + 1)*(5*o - 2)
Factor -1/7*o**2 + 20/7*o - 36/7.
-(o - 18)*(o - 2)/7
Suppose 0 - 5/3*v**3 - 4*v**2 - 7/3*v = 0. What is v?
-7/5, -1, 0
Let f(r) be the third derivative of -r**5/180 - r**4/18 - r**3/6 + 6*r**2 - 10. Solve f(y) = 0 for y.
-3, -1
Factor 36/5*x + 6*x**2 + 0 - 6/5*x**3.
-6*x*(x - 6)*(x + 1)/5
Let x(i) be the second derivative of -25/2*i**2 - 1/3*i**4 + 10/3*i**3 + 0 - 13*i. Suppose x(b) = 0. What is b?
5/2
Let i(p) be the first derivative of 3*p**5/140 - p**4/42 - p**3/6 - p**2/7 - 34*p - 24. Let q(a) be the first derivative of i(a). What is d in q(d) = 0?
-1, -1/3, 2
Suppose 0 = 10*a + 25 - 25. Factor 0*w - 2/3*w**4 - 4/3*w**3 - 2/3*w**2 + a.
-2*w**2*(w + 1)**2/3
Let w(z) be the second derivative of -z**6/195 + 22*z**5/65 - 194*z**4/39 - 704*z**3/13 - 2304*z**2/13 - 5*z. What is u in w(u) = 0?
-2, 24
Suppose 22*m - 3*m**3 + 5*m**3 - 17*m**3 + 12*m**4 - 1 - 45*m**2 - 11 + 38*m = 0. Calculate m.
-2, 1/4, 1, 2
Let b = -1292 - -1297. Let d(q) be the first derivative of 5/4*q**4 + 0*q - 12 + 0*q**3 + 0*q**2 - q**b. Factor d(p).
-5*p**3*(p - 1)
Let 174 + p**4 - 13*p**3 - 4*p**2 - 174 + 16*p**3 = 0. Calculate p.
-4, 0, 1
Factor -280/3*l + 9800/3 + 2/3*l**2.
2*(l - 70)**2/3
Let t be 2 + (-12)/(-18)*6 + -4. Solve -2/15*o**t - 2/5*o - 4/15 = 0.
-2, -1
Let p(j) be the third derivative of -j**8/6720 + j**7/1120 + j**6/160 + j**5/96 - j**3/6 - 6*j**2. Let n(q) be the first derivative of p(q). Factor n(i).
-i*(i - 5)*(i + 1)**2/4
Let n(j) = -3*j**4 + 351*j**3 - 14034*j**2 + 177606*j + 192054. Let f(s) = s**3 - s**2 - s - 9. Let a(p) = 6*f(p) + n(p). Let a(c) = 0. Calculate c.
-1, 40
Let o be ((-2)/(-66))/(65/(-78)). Let g = 116/165 + o. Factor -1/3*r**2 - g*r - 1/3.
-(r + 1)**2/3
Let i(s) be the first derivative of 8/7*s**3 + 23 - 4/7*s**4 + 1/7*s - 9/14*s**2. Factor i(t).
-(t - 1)*(4*t - 1)**2/7
Let a(b) = 6*b**2 + 12*b - 2. Let c(i) = 5*i**2 + 11*i - 2. Let g(p) = -6*a(p) + 7*c(p). Let k be g(4). Factor -2*d**k - d + 3 - 5*d**3 + 6*d**3 - 1.
(d - 2)*(d - 1)*(d + 1)
Let j(a) = -a**2 + a + 35. Let s be j(0). Factor 45*g**2 + s*g + 17*g**3 + 10 + 5*g**4 - 2*g**3 + 10*g**3.
5*(g + 1)**3*(g + 2)
Suppose b - g = 4, -5*b - 4*g = g - 10. Let l be 4*(-50)/(-12) - ((-184)/(-24) - 7). Factor 34/5*m**2 + 0 + 32/5*m**4 - 4/5*m - l*m**b.
2*m*(m - 2)*(4*m - 1)**2/5
Let u be (-60)/(-50)*(-10)/(-6). What is t in -30*t + 3*t**2 - u + t + 77 - t = 0?
5
Factor 19/3*v**2 + 13/3*v - 4/3 - 28/3*v**3.
-(v - 1)*(4*v - 1)*(7*v + 4)/3
Let f be (-108)/(-12) - (4/2 - -2). Let d be (9/f)/((36/15)/4). Solve 6*m - 3/2*m**d + 0 + 6*m**2 - 3/2*m**4 = 0.
-2, -1, 0, 2
Let u(w) be the third derivative of w**8/252 - 2*w**6/45 + 2*w**5/45 + w**4/6 - 4*w**3/9 + 25*w**2. Factor u(a).
4*(a - 1)**3*(a + 1)*(a + 2)/3
Let w(f) = -2*f**2 + 3. Let q(j) = 2*j**2 - 4. Let t be 5/(-25)*-5*8/2. Let p(o) = t*w(o) + 5*q(o). Factor p(z).
2*(z - 2)*(z + 2)
Let o = 86/3 + -388/15. Factor 0 - 18/5*g**3 - o*g**2 - 4/5*g - 2/5*g**5 - 2*g**4.
-2*g*(g + 1)**3*(g + 2)/5
Let c = 1/270 - -673/540. Factor 3/4*a**3 + 1/4 + 7/4*a**2 + c*a.
(a + 1)**2*(3*a + 1)/4
Let a(v) = 52*v**3 - v + 1. Let t be a(1). Factor r**3 + 3*r**3 - t*r**2 + 48*r**2.
4*r**2*(r - 1)
Suppose h = 2 + 2. Find n such that 32*n**4 + 3*n**3 - 14*n**h - 14*n**4 - 7*n**3 = 0.
0, 1
Let h(d) be the first derivative of 1/300*d**5 + 0*d + 2 + 0*d**3 + 1/120*d**4 + 5/2*d**2. Let m(k) be the second derivative of h(k). Solve m(i) = 0.
-1, 0
Let x = 13 - 9. Solve -4*l**3 + l**4 + 3*l**x + 4*l + 51*l**2 - 55*l**2 = 0.
-1, 0, 1
Let u(w) be the third derivative of w**7/1470 + w**6/210 - 13*w**5/420 - w**4/42 + 2*w**3/7 - 173*w**2. Let u(o) = 0. Calculate o.
-6, -1, 1, 2
Let p(i) be the first derivative of -i**4/4 + 2*i**3/3 + i**2/2 - 2*i + 66. Suppose p(x) = 0. Calculate x.
-1, 1, 2
Let o(z) be the second derivative of -z**6/120 + z**5/40 + 143*z. Factor o(q).
-q**3*(q - 2)/4
Find n, given that 828*n - 452*n - 658*n - 15*n**3 - 543*n**2 - 4686*n - 972 = 0.
-18, -1/5
Let j = -160 - -165. Suppose -4 = -j*z + 6. Find k, given that 2 + 0*k - 1/2*k**z = 0.
-2, 2
Let g be (66/(-1200))/(-11)*8/6. Let l(r) be the third derivative of -1/15*r**3 + 0*r - 1/600*r**6 + 0 + g*r**5 + 1/120*r**4 - 7*r**2. Solve l(u) = 0 for u.
-1, 1, 2
Let q be (66/(-60)*-2)/((-6)/(-5)). Suppose 0 + q*v**2 - 1/2*v**3 - v = 0. What is v?
0, 2/3, 3
Factor 9/5*b**3 - 3/5*b**5 + 0 + 12/5*b**2 - 12/5*b - 6/5*b**4.
-3*b*(b - 1)**2*(b + 2)**2/5
Suppose 18*o**2 + 9*o**2 - 21*o**3 + 12*o - 30*o**4 - 9*o**5 + 25*o**2 - 40*o**2 = 0. What is o?
-2, -1, 0, 2/3
Let y(t) be the third derivative of -t**6/160 + t**5/80 + t**4/8 - t**3/2 - 415*t**2 - 2. Factor y(m).
-3*(m - 2)*(m - 1)*(m + 2)/4
Let n(m) be the second derivative of m**4/36 - m**3/6 - 5*m**2/3 - 110*m. Determine k so that n(k) = 0.
-2, 5
Let w(q) = -q**3 - 2*q**2 + 5*q - 2. Let m be w(1). Let i(l) be the first derivative of 1/30*l**4 + 2/45*l**3 + m*l**2 + 0*l + 6. Find g such that i(g) = 0.
-1, 0
Let f(g) be the second derivative of -g**6/120 - g**5/16 + g**4/4 + 10*g**3/3 + 8*g**2 + 19*g + 7. What is x in f(x) = 0?
-4, -1, 4
Find w, given that -75/7*w + 1/7*w**2 - 76/7 = 0.
-1, 76
Let i = -3416 + 3420. Determine v, given that 0*v - 1/7*v**3 + 0*v**2 - 1/7*v**i + 0 = 0.
-1, 0
Let j(q) be the third derivative of q**6/360 + q**5/36 - 17*q**4/72 - 7*q**3/6 - 80*q**2. Factor j(y).
(y - 3)*(y + 1)*(y + 7)/3
Let i(o) = -o**3 + 1. Let v(b) be the first derivative of 5*b**6/6 + 15*b**4/4 + 5*b**2/2 - 25*b + 4. Let r(t) = 25*i(t) + v(t). Find d such that r(d) = 0.
-1, 0, 1
Let u = 1248 - 1246. Factor 3/5*l**u + 0*l**4 + 0 - 9/5*l**3 + 12/5*l**5 + 0*l.
3*l**2*(l + 1)*(2*l - 1)**2/5
Let x(u) = -402*u - 4018. Let k be x(-10). Factor -2/3*o + 1/3*o**4 + 0 + 2/3*o**3 - 1/3*o**k.
o*(o - 1)*(o + 1)*(o + 2)/3
Let g(v) = 6*v**2 - 160*v + 5. Let r(z) = 3*z**2 - 81*z + 3. Let j(q) = 3*g(q) - 5*r(q). What is c in j(c) = 0?
0, 25
Let a = -1437 + 1441. Let q(j) be the first derivative of -3/4*j**a - 27*j - 9/2*j**2 + 5*j**3 - 12. Factor q(r).
-3*(r - 3)**2*(r + 1)
Let n(t) be the first derivative of 0*t - t**3 + 0*t**4 - 1/360*t**6 - 1/120*t**5 + 6 + 0*t**2. Let z(v) be the third derivative of n(v). Factor z(r).
-r*(r + 1)
Let g(q) be the third derivative of 0*q**3 + 0 + 0*q**4 + 1/75*q**5 - 1/150*q**6 + 0*q - 5*q**2. Find s, given that g(s) = 0.
0, 1
Let h(b) be the second derivative of 41/15*b**5 - 12*b - 4/9*b**7 + 1/3*b**6 + 11/18*b**4 + 4/3*b**2 - 8/3*b**3 + 0. What is j in h(j) = 0?
-1, 1/4, 2/7, 2
Let o(w) be the third derivative of -w**8/9240 + w**7/924 - 2*w**6/495 + w**5/165 + 11*w**3/6 + 3*w**2. Let s(k) be the first derivative of o(k). Factor s(m).
-2*m*(m - 2)**2*(m - 1)/11
Let l(z) be the first derivative of z**4/4 - 5*z**3/3 - z**2/2 + 5*z + 108. Find u, given that l(u) = 0.
-1, 1, 5
Let o = 8015 + -8015. Factor -2/9 + 2/9*g**2 + o*g.
2*(g - 1)*(g + 1)/9
Let p(l) = -2*l**3 + 2*l**2 - 3*l. Let o(y) = -y**3 + 4*y**2 - 2*y. Let i(k) = -6*o(k) + 4*p(k). Solve i(d) = 0.
-8, 0
Suppose 2*m + 7*j = 4*j + 25, 5*