+ 41*s**2 + 9 - 44*s**2. Let g(d) = 3*v(d) - 15*z(d). Solve g(t) = 0.
-3, -1, 1
Let g(v) be the third derivative of -v**7/2520 + v**6/90 - 2*v**5/15 - 163*v**4/24 + 301*v**2. Let s(n) be the second derivative of g(n). Factor s(m).
-(m - 4)**2
Let f(y) be the second derivative of -23*y**4/12 + 8*y**3 - 2*y**2 - 475*y. Factor f(c).
-(c - 2)*(23*c - 2)
Let 28/19*k**2 - 912 + 58*k - 2/19*k**3 = 0. What is k?
-24, 19
Let m(d) = 11*d**3 + 23*d**2 + 45*d. Let u(l) = -13*l**3 - 24*l**2 - 45*l. Let g(h) = 6*m(h) + 5*u(h). Let g(c) = 0. What is c?
-15, -3, 0
Let c = -12189 + 12192. Let q(a) be the first derivative of 1/6*a**c + 1/20*a**5 + 6 - 5/8*a**2 - 3/4*a + 3/8*a**4 - 1/24*a**6. Factor q(r).
-(r - 3)*(r - 1)*(r + 1)**3/4
Let v(o) = 3*o**2 + 4. Let n(a) = -2*a**3 - 64*a**2 + 72*a + 8. Let q(l) = 2*n(l) - 4*v(l). Suppose q(z) = 0. What is z?
-36, 0, 1
Let g(p) be the third derivative of -p**9/120960 - p**8/40320 + p**5/30 + p**3/3 + 46*p**2. Let n(c) be the third derivative of g(c). Factor n(o).
-o**2*(o + 1)/2
Let j be (-144)/18 + ((-72)/(-7) - 88/308). Let b = 24 - 21. Factor -18/5 + 3/5*a**j - b*a.
3*(a - 6)*(a + 1)/5
Let c(p) = -2*p**3 + 14*p**2 - 11*p - 6. Let u be c(6). Let q(z) be the third derivative of 1/240*z**5 + 1/24*z**3 + 1/48*z**4 - 4*z**2 + u + 0*z. Factor q(m).
(m + 1)**2/4
Let z be 10/3 + 2/(-6). Factor -3*p**4 + 8*p**2 - 39*p**z - 14*p**2 + 30*p**3.
-3*p**2*(p + 1)*(p + 2)
Factor 34/3*p + 12 - 2/9*p**3 - 8/9*p**2.
-2*(p - 6)*(p + 1)*(p + 9)/9
Let q(d) be the second derivative of -d**7/1680 + d**6/240 + d**5/10 - d**4 + d**3/6 - 3*d + 2. Let i(t) be the third derivative of q(t). Factor i(c).
-3*(c - 4)*(c + 2)/2
Let o(j) be the second derivative of -7/16*j**4 + 1 - 19*j - 3/160*j**5 + 15/16*j**3 + 0*j**2. Factor o(v).
-3*v*(v - 1)*(v + 15)/8
Let n(u) be the first derivative of 9/8*u**2 + 79 + 1/5*u**5 + 1/24*u**6 - u**3 + 0*u - 1/8*u**4. Factor n(h).
h*(h - 1)**2*(h + 3)**2/4
Suppose 12*t - 7*t + 280 = 0. Let q = 58 + t. Factor -3*k**2 + 8 - 5*k**2 + 0*k**2 + 6*k**q.
-2*(k - 2)*(k + 2)
Let t be 0/((-2 + (-14)/(-8))*4). Suppose 4*h + 12 = t, -k - h - 2*h - 6 = 0. Let -370 - 120 - 17*f**k - 141*f - 734*f + 2*f**3 - 220*f**2 = 0. Calculate f.
-7, -2/3
Let q = 1639 + -1417. Suppose 0 = 47*u + 27*u - q. Factor 4 - 5/2*c**2 + 1/2*c**u + c.
(c - 4)*(c - 2)*(c + 1)/2
Suppose 2*v - 6*v = -4*k + 244, 2*k = 3*v + 125. Suppose 21*a - k = 5. What is j in 0*j - 4/5*j**2 + 2/5*j**4 + 2/5*j**a + 0 = 0?
-2, 0, 1
Solve -2/7*a**4 + 1512*a - 324*a**2 + 120/7*a**3 + 7938 = 0.
-3, 21
Let g(f) be the third derivative of -58*f**2 - 3*f**4 + 0*f - 8*f**3 + 1 - 1/20*f**6 + 3/4*f**5. Factor g(y).
-3*(y - 4)**2*(2*y + 1)
Let k(j) be the third derivative of -j**7/420 - j**6/120 + j**5/15 + 3*j**4/8 + 3*j**3/4 + 419*j**2 + 1. Factor k(b).
-(b - 3)*(b + 1)**2*(b + 3)/2
Let w be (2 + -45)*(-3)/1. Let x = w + -126. Determine f so that -81*f**2 + 27*f**4 - 73*f**x + 67*f**3 + 9 - 21 + 72*f = 0.
-2, 2/9, 1
Let n(j) = j**2 + j + 1. Let o be n(0). Suppose -g + o = 3, 0 = 2*u + 5*g + 4. What is t in 2*t**2 - 5*t**5 - 8*t + 8*t + 0*t + 5*t**u - 2*t**4 = 0?
-1, -2/5, 0, 1
Let a(j) be the first derivative of -2/5*j - 7/15*j**3 + 9/10*j**2 + 128. Factor a(q).
-(q - 1)*(7*q - 2)/5
Let t = -437378 - -437380. Determine h so that 128/3*h - 2048/3 - 2/3*h**t = 0.
32
Factor -2/3*o**3 + 122/3*o - 17/3*o**2 + 65/3.
-(o - 5)*(o + 13)*(2*o + 1)/3
Let v(a) be the third derivative of 35/48*a**8 + 0*a - 5/3*a**5 - 31/6*a**7 + 0 + 22*a**2 + 0*a**4 + 0*a**3 - 17/3*a**6. Factor v(u).
5*u**2*(u - 5)*(7*u + 2)**2
Let c be 37 + -36 - (-2)/2. Find j, given that -7*j**2 - 3*j**2 + 28 + 3*j - 4 - 3*j**3 - 14*j**c = 0.
-8, -1, 1
Let z(a) be the third derivative of -a**6/220 - a**5/110 - 52*a**2. Let z(j) = 0. Calculate j.
-1, 0
Let a = 364 + -725/2. Let x(w) be the second derivative of -1/2*w**3 + 0 - 1/4*w**4 + a*w**2 + 4*w + 3/20*w**5. Suppose x(i) = 0. What is i?
-1, 1
Let s(v) = 1800*v + 1803. Let c be s(-1). Let x(f) be the first derivative of 0*f + 0*f**c - 5 - 4/7*f**2 - 2/35*f**5 + 3/14*f**4. Let x(b) = 0. Calculate b.
-1, 0, 2
Let u(p) be the second derivative of 1/3*p**4 + 0 + 21*p + 0*p**2 + 1/6*p**3 - 1/4*p**5. Let b(q) = 2*q**3 - q**2. Let w(x) = 8*b(x) + 3*u(x). Factor w(f).
f*(f + 1)*(f + 3)
Let a(m) = -m**2 + 8*m + 2. Let z be a(7). Let k(c) = c - 3. Let o be k(6). Solve g - g - 3*g**o - 4 - 8 + z*g**2 = 0 for g.
-1, 2
Suppose -8 - 299/2*u**2 - 44*u**3 - 8/3*u**4 - 200/3*u = 0. What is u?
-12, -4, -1/4
Let i(h) be the first derivative of -h**3/6 - 53*h**2/2 - 5318. Factor i(t).
-t*(t + 106)/2
Let j(p) be the second derivative of 23/6*p**3 + 0*p**2 - 14*p - 1/900*p**6 - 1/15*p**4 + 0 + 1/75*p**5. Let y(a) be the second derivative of j(a). Factor y(g).
-2*(g - 2)**2/5
Suppose -k - 19 = -5*f + 16, k + 3*f - 21 = 0. What is x in 0 - 3/7*x**4 + 3/7*x**3 + 0*x**2 + k*x = 0?
0, 1
What is j in 3267/8*j**2 - 51*j**3 + 6 - 819*j = 0?
1/136, 4
Let j(z) = 42*z**3 - 27*z**2 - 54*z + 3. Let m(y) = -79*y**3 + 55*y**2 + 107*y - 7. Let d(w) = 5*j(w) + 3*m(w). Factor d(c).
-3*(c - 2)*(c + 1)*(9*c - 1)
Let f be ((-12)/(-14))/(18240/12768). Find x such that 24/5*x - f*x**2 + 12 = 0.
-2, 10
Suppose -2*u = -4 - 6. Suppose p - u = c - 4*c, -3*c - 3 = -3*p. Determine v, given that -5*v**3 + 8*v**2 + 22*v**p - 106*v + 20 + 61*v = 0.
1, 4
Factor 0*u - 8192/5*u**2 + 0 - 2/5*u**4 - 256/5*u**3.
-2*u**2*(u + 64)**2/5
Determine p so that 115 + 49717*p**2 - 49718*p**2 - 13*p + 53 = 0.
-21, 8
Factor 122959*q + 16*q**3 + 120707 + 113383 + 14*q**3 - 2854*q - 25*q**3 + 1540*q**2.
5*(q + 2)*(q + 153)**2
Let l(v) be the third derivative of v**8/1848 + v**7/1155 - 23*v**6/220 - 193*v**5/330 + 2*v**4/33 + 84*v**3/11 - 2*v**2 - 313. What is d in l(d) = 0?
-7, -2, 1, 9
Let 466 + 2/3*w**2 - 472/3*w = 0. Calculate w.
3, 233
Let t = -7 + 71. Let a = t - 37. Factor -2*q - a*q**3 - 169*q**2 + 187*q**2 + q - 2*q.
-3*q*(3*q - 1)**2
Factor 1/7*i**2 + 363888 + 456*i.
(i + 1596)**2/7
Let p = 354686 + -354682. Factor -9*m - 4 + 3/2*m**p - 7/2*m**2 + 7/2*m**3 - 1/2*m**5.
-(m - 4)*(m - 2)*(m + 1)**3/2
Let v(s) be the first derivative of s**6/240 + s**5/24 + s**4/6 + s**3/3 + 13*s**2/2 + 2*s - 97. Let a(k) be the second derivative of v(k). Factor a(o).
(o + 1)*(o + 2)**2/2
Let s(d) be the second derivative of -d**6/180 - 23*d**5/120 + 41*d**4/36 + 26*d**3/9 - 2508*d - 2. Factor s(f).
-f*(f - 4)*(f + 1)*(f + 26)/6
Let b be (9/(-132))/((-18)/(-360)). Let m = b - -393/143. Solve -8/13*y**3 - 42/13*y + m + 32/13*y**2 = 0 for y.
1, 3/2
Let n be (7/(14/3))/((-9)/(-4)). Let p be (-2)/(-6) - (-129)/774. Factor 1/6*a**2 - n - p*a**3 + 2*a.
-(a - 2)*(a + 2)*(3*a - 1)/6
Suppose 4*g + u = -53, 0 = -5*g - u - 3*u - 69. Let h be 32/14 + (-178)/(-14) + g. Factor 50/3*j**h - 20/3*j + 2/3.
2*(5*j - 1)**2/3
Suppose 177 = 4*r + 245. Let v be r/(-28) + 110/770. Determine d, given that 0*d + 0 - v*d**2 + 1/12*d**3 = 0.
0, 9
Let b = -9623 - -48121/5. Let c(n) be the first derivative of 2/3*n**3 - 8*n - 1/6*n**6 - 37 + 6*n**2 + b*n**5 - 11/4*n**4. Factor c(j).
-(j - 2)**3*(j - 1)*(j + 1)
Let f be 2/(-3)*(349 - 352). Let -2/9*k + 2/9*k**5 - 4/9*k**4 + 0 + 0*k**3 + 4/9*k**f = 0. What is k?
-1, 0, 1
Let o(v) = -4*v - 58. Let c be o(-15). Factor -13*u**3 - 1922*u**2 - 125 - 200*u + 2017*u**c + 3*u**3.
-5*(u - 5)**2*(2*u + 1)
Let l = -108648 - -438675/4. Let m = l + -1020. Factor m*c**2 + 9/2*c + 6.
3*(c + 2)*(c + 4)/4
Find l, given that 26868*l + 792 - 4*l**3 - 26376*l + 45*l**2 + 19*l**2 = 0.
-3, 22
Let l(p) be the third derivative of 2 - 1/570*p**5 + 0*p + 4/57*p**3 - 54*p**2 - 1/19*p**4 + 1/380*p**6. Factor l(j).
2*(j - 2)*(j + 2)*(3*j - 1)/19
Let l be (-18)/3 - (-3 + -4). Let s be l + ((-8)/(-20))/((-7)/14). Factor 3/5*b - 2/5 - s*b**3 + 0*b**2.
-(b - 1)**2*(b + 2)/5
Let p(w) be the third derivative of -w**5/420 - 71*w**4/168 + 11*w**3 - 2227*w**2. Solve p(n) = 0.
-77, 6
Let -48*m**2 + 22*m**4 - 220*m - 179*m**3 + 8*m**2 + 284 - 101*m - 50 - m**5 + 285*m**3 = 0. Calculate m.
-3, 1, 26
Let z = -334 + 18. Let y = z + 318. Determine d so that 1/3*d**3 - 2/3*d**y + 0*d + 0 = 0.
0, 2
Let i(g) = g - 1. Suppose -11*z + 31 + 24 = 0. Let p be i(z). Suppose 3*j**4 - 12*j**2 + p*j**2 + 12*j**3 - 7*j**4 = 0. What is j?
0, 1, 2
Let j(a) = -a**3 - 8*a**2 + 7*a + 58. 