et -21*m - 146*m - 14*m - 15*m - 19 + 36*m**2 + 99 = 0. What is m?
4/9, 5
Solve -22*v**2 + 125*v**5 + 1740*v - 2596*v**2 + 1634*v**3 - 360 - 1410*v**3 + 2221*v**3 - 900*v**4 - 452*v**2 = 0 for v.
3/5, 2
Let w(s) = s**3 + 2*s**2 - 3*s + 3. Let x be w(-3). Suppose 0 = -2*p + 6*p + c - 1, -p - 11 = 4*c. Factor -2*k**4 + k**2 - 2*k**x + 5/2*k - 1/2*k**5 + p.
-(k - 1)*(k + 1)**3*(k + 2)/2
Let r(x) be the first derivative of -2*x**3/57 + 2*x**2/19 + 30*x/19 + 12. Factor r(j).
-2*(j - 5)*(j + 3)/19
Let a(t) be the first derivative of t**4/10 - 148*t**3/15 + 1369*t**2/5 - 358. Find d such that a(d) = 0.
0, 37
Let z(d) = -10*d**3 - 20*d**2 + 134*d - 144. Let x(t) = -9*t**3 - 20*t**2 + 133*t - 144. Let b(y) = 6*x(y) - 5*z(y). Factor b(r).
-4*(r - 2)**2*(r + 9)
Let r = 101301/11 - 9209. Factor r*x + 0 - 4/11*x**2 - 6/11*x**3.
-2*x*(x + 1)*(3*x - 1)/11
Let y(w) be the second derivative of 3*w**5/80 + 7*w**4/8 + 51*w**3/8 + 81*w**2/4 - 47*w - 2. Factor y(j).
3*(j + 2)*(j + 3)*(j + 9)/4
Let x(u) = -u**3 + u. Let v(g) = 21*g**3 + 171*g**2 + 18*g. Let s(h) = 3*v(h) + 24*x(h). What is k in s(k) = 0?
-13, -2/13, 0
Let h = -3918 - -3923. Let -h - 2*m - 1/5*m**2 = 0. What is m?
-5
Factor 0 + 5/3*h**3 + 30*h + 95/3*h**2.
5*h*(h + 1)*(h + 18)/3
Let t(m) = 4*m + 6. Let c be t(-1). Factor 13*y**2 + 1 - 16*y**2 + y**3 + c - 3*y + 2*y**3.
3*(y - 1)**2*(y + 1)
Suppose -2*b + 0*b - 34 = -4*u, 3*u - 20 = -4*b. Factor -39*c**5 - 6 + 8*c**3 + 12*c**4 + 43*c**5 + 2 - u*c**2 - 12*c.
4*(c - 1)*(c + 1)**4
Factor 3*w**2 + 5*w + 2*w**2 + 60*w - 37 + 39 + 148.
5*(w + 3)*(w + 10)
Let z = -643 + 647. Let w(y) be the second derivative of 0*y**3 - 4*y + 0 - 1/54*y**z + 1/9*y**2. What is s in w(s) = 0?
-1, 1
Suppose 0*d**2 + 0 + 1/2*d**4 + 0*d + 1/2*d**3 = 0. Calculate d.
-1, 0
Determine x so that 12/5*x**3 - 114/5*x**2 + 36*x + 3/5*x**4 - 81/5 = 0.
-9, 1, 3
Factor -26*l + l - 59 - 21*l + 35*l**2 - 21 - 74*l.
5*(l - 4)*(7*l + 4)
Let l = 0 - 1. Let x be l/(4/(-12)) + -3. Factor -1/2*p**3 - 1/4*p**4 - 1/4*p**2 + x*p + 0.
-p**2*(p + 1)**2/4
Let t = -22 + 25. Factor 52 + 2*q**3 + 12*q**2 + q**t + 20*q - 5*q - 46.
3*(q + 1)**2*(q + 2)
Let d be (-836)/616 - (-5)/2. Suppose -2/7*x**2 + d*x - 8/7 = 0. What is x?
2
Let -576/5 - 891/5*a**2 + 12/5*a**4 + 2598/5*a - 1143/5*a**3 = 0. Calculate a.
-2, 1/4, 1, 96
Let u(s) = -s**2 + 12*s + 13. Let l be u(14). Let j = -14 - l. Find z such that 6 + j + 8*z**4 + 5 - 15*z**2 - 5*z**4 = 0.
-2, -1, 1, 2
Let u = -44 - -265/6. Let a(t) be the second derivative of -u*t**2 + 0 - 2/63*t**7 - t - 1/60*t**5 + 5/36*t**4 - 4/45*t**6 + 1/18*t**3. Solve a(j) = 0.
-1, 1/2
Let o(k) be the second derivative of k**8/33600 - k**7/2520 + k**6/1200 + 3*k**5/200 + k**4/6 - 4*k. Let l(t) be the third derivative of o(t). Factor l(v).
(v - 3)**2*(v + 1)/5
Let l(t) be the first derivative of t**7/1155 + t**6/330 + t**5/330 + 5*t**2 - 6. Let s(a) be the second derivative of l(a). What is u in s(u) = 0?
-1, 0
Let v(r) be the second derivative of r**6/6 - 11*r**5/4 + 35*r**4/2 - 160*r**3/3 + 80*r**2 + 136*r. Suppose v(c) = 0. What is c?
1, 2, 4
Let d(c) be the third derivative of 2*c**7/525 + 19*c**6/150 + 17*c**5/25 + 49*c**4/30 + 32*c**3/15 - 4*c**2 + 56*c. Find j, given that d(j) = 0.
-16, -1
Let v(c) be the first derivative of -c**7/7 + c**6/3 + 16*c**5/15 + 2*c**4/3 - 38*c + 5. Let l(q) be the first derivative of v(q). Let l(n) = 0. Calculate n.
-2/3, 0, 3
Let v(u) = -14*u**4 + 36*u**3 + 72*u**2 - 33*u. Let l(h) = -3*h**4 + 7*h**3 + 14*h**2 - 6*h. Let b(i) = 11*l(i) - 2*v(i). Factor b(t).
-5*t**2*(t - 2)*(t + 1)
Let h(j) = j + 1. Let o be h(1). Suppose 6 = u + o. Find p such that 12 - u*p**2 - 4 + 2*p + p + p = 0.
-1, 2
Let p(b) be the third derivative of b**6/780 + 277*b**5/130 + 76729*b**4/52 + 21253933*b**3/39 + 16*b**2 + 9*b. Factor p(t).
2*(t + 277)**3/13
Let i = 164 - 171. Let y(k) = 5*k**2 + 37*k + 14. Let f be y(i). Let -64/5*c**2 + f + 8/5*c + 154/5*c**3 - 98/5*c**4 = 0. What is c?
0, 2/7, 1
Let x(k) be the third derivative of -k**10/50400 + k**9/10080 - k**7/840 + k**6/240 + 7*k**5/60 + 3*k**2. Let n(w) be the third derivative of x(w). Factor n(q).
-3*(q - 1)**3*(q + 1)
Suppose -3*k + 10 = -26. Factor 2*v**2 - 5 - 5 - v**4 + k*v - 4*v**3 + 1.
-(v - 1)**2*(v + 3)**2
Let y(m) be the second derivative of -m**7/280 + m**6/60 - m**5/40 + 13*m**3/3 + 9*m. Let g(p) be the second derivative of y(p). Solve g(x) = 0.
0, 1
Factor -12 + y**2 + 31*y - 13 + 0 - 7.
(y - 1)*(y + 32)
Find l, given that -28 - 302/3*l - 8/3*l**3 + 134/3*l**2 = 0.
-1/4, 3, 14
Find m such that 0 - 65/2*m**3 - 75/4*m**4 - 5/4*m**5 + 0*m**2 + 0*m = 0.
-13, -2, 0
Let o(p) be the first derivative of -6*p**5/5 + 3*p**4 + 3*p**3/2 - 21*p**2/4 + 3*p + 58. Suppose o(k) = 0. Calculate k.
-1, 1/2, 2
Let n(f) = f**3 - 33*f**2 + f - 34. Let v be n(33). Let c be 1/(-1)*v/5. Suppose -c*w**2 + 1/5*w**3 + 1/5*w**4 + 0 - 1/5*w = 0. Calculate w.
-1, 0, 1
Factor 0 + 58/11*b**2 - 2/11*b**3 + 0*b.
-2*b**2*(b - 29)/11
Let s = 52 - 48. Let h(w) be the third derivative of 8*w**2 - 1/105*w**7 - 2/3*w**3 + 0*w + 1/12*w**s + 1/10*w**5 + 0 - 1/60*w**6. Factor h(y).
-2*(y - 1)**2*(y + 1)*(y + 2)
Let m be 14/(-133) - ((-156)/38 - 1). Let t(k) be the second derivative of -1/8*k**2 + 1/48*k**4 + 7*k - 1/80*k**m + 0 + 1/24*k**3. Factor t(y).
-(y - 1)**2*(y + 1)/4
Let m(d) = -d + 1. Let g(s) = s**3 - 2*s - 11. Let p(l) = 3*g(l) + 15*m(l). Factor p(t).
3*(t - 3)*(t + 1)*(t + 2)
Factor 60*r + 82133 + 2*r**3 - 82133 - 62*r**2.
2*r*(r - 30)*(r - 1)
Let o = 53 + -59. Let y be (-9)/o*(-4)/18*-9. Factor 0 + 1/3*b - 1/3*b**y + 0*b**2.
-b*(b - 1)*(b + 1)/3
Let s(d) be the first derivative of -2*d**3/51 - 2*d**2 - 34*d + 629. Determine j so that s(j) = 0.
-17
Suppose -2*o - 4*n + 4 = 0, 6*o - o - 4*n + 4 = 0. Factor 0 + o*d**2 + 4/9*d**3 + 0*d + 2/9*d**4.
2*d**3*(d + 2)/9
Let f(x) be the second derivative of x**9/3780 + x**8/336 + 9*x**4/4 + 30*x. Let k(m) be the third derivative of f(m). Factor k(l).
4*l**3*(l + 5)
Let v be (3 - 7) + (-143)/(-1). Suppose v*i + 2 = 140*i. What is h in 1/2*h**i + 0 - 1/2*h**3 + 0*h = 0?
0, 1
Let q(m) = -m**2 - 6*m + 10. Let l be q(-7). Let y = -1 + l. Factor 12*w**5 - w**y + 27*w**3 - 33*w**4 - 6*w - 2*w**2 + w + 2*w.
3*w*(w - 1)**3*(4*w + 1)
Let x(a) = 10*a + 280. Let y be x(-28). What is t in 0 + 0*t - 2/7*t**3 - 2/7*t**4 + y*t**2 = 0?
-1, 0
Let b be (-5026)/2520 - (0 + -2). Let y(i) be the third derivative of 0*i + 6*i**2 + 0*i**3 + 4/135*i**5 - 1/27*i**4 + 0 - b*i**6. Find j such that y(j) = 0.
0, 2/3, 2
Let w(c) be the third derivative of -1/2*c**4 + 0 + 0*c**3 - 1/20*c**5 + 0*c + 33*c**2. Suppose w(q) = 0. Calculate q.
-4, 0
Let q(m) be the third derivative of 0 - 8/21*m**3 + 2/21*m**4 + 1/105*m**5 - 9*m**2 - 1/210*m**6 + 0*m. Solve q(i) = 0.
-2, 1, 2
Let c(o) = 9*o**3 + 1054*o**2 + 73520*o + 1715000. Let i(t) = 35*t**3 + 4215*t**2 + 294075*t + 6860000. Let d(w) = 15*c(w) - 4*i(w). Factor d(x).
-5*(x + 70)**3
Let j(u) be the second derivative of -u**5/5 - 5*u**4/3 - 14*u**3/3 - 6*u**2 + 4*u. Factor j(f).
-4*(f + 1)**2*(f + 3)
Let b be (-1)/(-10)*6 + 15/(-25). Factor -4*s**4 - 6*s**3 + b*s**4 + 8*s**2 + s**4 - 11*s**2.
-3*s**2*(s + 1)**2
Let c(v) be the first derivative of v**4/2 + 214*v**3/3 + 2915*v**2 + 5618*v - 169. Factor c(g).
2*(g + 1)*(g + 53)**2
Suppose -5*b - 5 = -140. Factor -3*w + 2*w**2 - 4 + b*w - 38*w**2.
-4*(3*w - 1)**2
Let j = 232/55 + -42/11. Let h(r) be the second derivative of 4*r**3 - 3*r - 11/10*r**5 + 0 - 8*r**2 + 1/3*r**4 - 1/21*r**7 + j*r**6. Solve h(c) = 0.
-1, 1, 2
Factor 6*j + 11*j - 17*j + j**2 + 2 + 3*j.
(j + 1)*(j + 2)
Let n(s) be the first derivative of -2*s**3/45 - 44*s**2/5 - 2904*s/5 - 61. Factor n(c).
-2*(c + 66)**2/15
Let o(z) = -9*z**4 - 2*z**3 + 4*z**2 - 3*z + 5. Let n(m) = 7*m**4 + 2*m**3 - 3*m**2 + 2*m - 4. Let t(g) = 5*n(g) + 4*o(g). Factor t(p).
-p*(p - 2)*(p - 1)*(p + 1)
Suppose -2*n = 8*n - 30. Let y be (n/(-5))/((-20)/25). Let -9/4*p**3 - 15/4*p - y - 21/4*p**2 = 0. What is p?
-1, -1/3
Factor 36*s + 79 - 6*s + 2*s**2 + s**2 - 16.
3*(s + 3)*(s + 7)
Let y(k) be the third derivative of -k**6/720 + 29*k**5/360 + k**4/144 - 29*k**3/36 + 22*k**2 + 4*k. Suppose y(w) = 0. What is w?
-1, 1, 29
Let x(l) be the first derivative of -l**6/60 + l**5/20 + l**4/24 - l**3/6 - 6