m - 7)*(m + 7)/3
Let -10/7*u**2 + 2/7*u + 0 = 0. Calculate u.
0, 1/5
Let w be 0/(18 - 9)*-1. Let m(k) be the second derivative of 1/9*k**3 + 1/36*k**4 + w + k + 1/6*k**2. Factor m(l).
(l + 1)**2/3
Let g(d) be the third derivative of -64/5*d**5 + 0 - 2/3*d**3 - 4*d**4 - 256/15*d**6 + 7*d**2 + 0*d. Factor g(f).
-4*(8*f + 1)**3
Suppose 90 - 3*q**2 - 8*q + 3*q - 3*q + 5*q = 0. Calculate q.
-6, 5
Let d(t) = -t**3 - 10*t**2 - 9*t + 1. Let c be d(-9). Suppose c = 5*u - 4. Factor 9/2*j**5 - 5/2*j - 9*j**2 - 2*j**3 + 8*j**4 + u.
(j - 1)*(j + 1)**3*(9*j - 2)/2
Let z(r) = r**3 - r**2 + r. Let u(k) = 6*k**3 - 6*k**2 + 2*k + 2. Let v = -7 + 13. Suppose 2 = 4*f + v. Let m(o) = f*u(o) + 4*z(o). Find a, given that m(a) = 0.
-1, 1
Let c(b) be the second derivative of 7*b**6/75 - 263*b**5/100 - 11*b**4/10 + 173*b**3/30 - 19*b**2/5 + 3*b - 71. Solve c(q) = 0 for q.
-1, 2/7, 1/2, 19
Suppose n + 5 = -2*r, -14*r = -2*n - 9*r + 17. Let f(x) be the first derivative of -n - 8/3*x**3 - 1/2*x**4 - 4*x - 5*x**2. Suppose f(v) = 0. What is v?
-2, -1
Suppose -v + 15 = 5*d + 2, 0 = 2*v - 2*d - 50. Determine q, given that v*q**3 - 10*q**3 - 15*q**3 = 0.
0
Let m(w) be the third derivative of -w**5/20 - 11*w**4/2 - 43*w**3/2 - 27*w**2. Factor m(k).
-3*(k + 1)*(k + 43)
Let m(f) = -7*f**2 + f + 4. Let r(q) = 5*q**2 - 3. Let k(p) = -3*m(p) - 4*r(p). Let k(u) = 0. Calculate u.
0, 3
Let a(p) be the first derivative of -p**6/16 + 3*p**5/5 - 33*p**4/16 + 3*p**3 - 27*p**2/16 + 2. Let a(m) = 0. Calculate m.
0, 1, 3
Let f be -1 - (-2 + -2) - -2. Suppose -t = -f*i + 11, -3*i + 20 = i + 2*t. Factor l**4 + 4*l**3 - i*l**3 - 2*l**4 - l**4.
-l**3*(2*l - 1)
Let s = -146 + 106. Let r = s - -42. Factor 0*t + 4/5*t**r + 0 - 2/5*t**3 - 2/5*t**4.
-2*t**2*(t - 1)*(t + 2)/5
Let a = 1085621264/529985 - -2/105997. Let q = a - 2042. Factor -16/5*f - q - 2/5*f**2.
-2*(f + 4)**2/5
Let g be (-1 - (-7)/8) + 154/1200. Let d(r) be the third derivative of -g*r**5 + 5*r**2 + 0 - 1/15*r**3 + 0*r - 1/40*r**4. Solve d(w) = 0.
-2, -1
Let u(o) be the first derivative of 2*o**3/9 - 28*o**2 + 1176*o + 292. Factor u(m).
2*(m - 42)**2/3
Let v(u) = -u**3 + 9*u**2 - 8. Let j be v(9). Let f be 5/2 + j/16. What is w in 2/11*w**f + 2/11*w + 0 = 0?
-1, 0
Let g be (-1)/(-3*(-3)/27). Let o be (-120)/(-36) + (-2)/g. Suppose 40*i**2 - 4*i**2 + 0*i**o + 8*i - 28*i**5 + 20*i**3 - 42*i**4 + 6*i**4 = 0. What is i?
-1, -2/7, 0, 1
Suppose 0 = -5*w - 2*l + 13, -w + 3*l = 6*l. Let p(j) be the third derivative of 0*j - 4/3*j**w + 0 + 1/3*j**4 + 3*j**2 - 1/30*j**5. Factor p(o).
-2*(o - 2)**2
Let q = 12/11 - 493/462. Let y(m) be the second derivative of 1/14*m**2 + 0 - 1/140*m**5 - 5*m + q*m**3 - 1/84*m**4. Find d such that y(d) = 0.
-1, 1
Let i be (-3480)/435 + (9 - 1). Let r(g) = -g**3 - 5*g**2 - 2*g - 7. Let h be r(-5). Factor i + 16/3*v**4 + 0*v**2 + 2/3*v - 4*v**h - 2*v**5.
-2*v*(v - 1)**3*(3*v + 1)/3
Let n = 513/14 + -2551/70. Let x = -668/35 + 142/7. What is l in -x*l + n*l**2 + 9/5 = 0?
3
Factor u**2 + 512*u**2 - 190*u**4 - 369*u**3 - 3*u**5 + 265*u**4.
-3*u**2*(u - 19)*(u - 3)**2
Let c(f) be the first derivative of -f**6/660 - f**5/110 - f**4/44 - f**3/33 + 5*f**2/2 + 3. Let h(z) be the second derivative of c(z). Let h(s) = 0. What is s?
-1
Let t(o) be the first derivative of -8 - 5*o + 1/9*o**3 + 1/90*o**5 - 1/9*o**2 - 1/18*o**4. Let p(r) be the first derivative of t(r). Factor p(j).
2*(j - 1)**3/9
Factor 152/15*x**2 + 2/15*x**5 - 112/15*x + 0 - 4*x**3 + 2/15*x**4.
2*x*(x - 2)**3*(x + 7)/15
Let p be 7 + 0 - (-24)/6. Let s = p + -9. Factor 2 + u**s - 3*u**2 - 2*u - 3 + 5.
-2*(u - 1)*(u + 2)
Let x(b) be the first derivative of b**4/16 - b**3/8 - 11*b - 49. Let c(h) be the first derivative of x(h). What is j in c(j) = 0?
0, 1
Let v = 4/16149 + 32278/80745. Factor 0*l + 0 + 2/5*l**4 + v*l**3 - 4/5*l**2.
2*l**2*(l - 1)*(l + 2)/5
Determine t, given that t**5 + 0 + 71/3*t**4 + 38*t + 283/3*t**3 + 329/3*t**2 = 0.
-19, -3, -1, -2/3, 0
Suppose -37/9*d**2 + 4/9*d**5 + 65/9*d**4 - 28/9 + 124/9*d**3 - 128/9*d = 0. Calculate d.
-14, -2, -1, -1/4, 1
Let y(d) = -d**5 + 2*d**4 + d**3 - 2*d**2 - 2. Let n = -12 - -9. Let a(t) be the second derivative of t**2/2 - t. Let f(b) = n*y(b) - 6*a(b). Factor f(p).
3*p**2*(p - 2)*(p - 1)*(p + 1)
Let x(q) = -2*q**3 - q + 2. Let y(k) = k**4 + 2*k**3 - 16*k**2 + k - 2. Let b(j) = -x(j) - y(j). Factor b(t).
-t**2*(t - 4)*(t + 4)
Let y = 3910/301 - 534/43. Factor 8/7 - y*k**4 - 20/7*k + 12/7*k**2 + 4/7*k**3.
-4*(k - 1)**3*(k + 2)/7
Let l(z) be the first derivative of -3*z**5/35 + 39*z**4/28 - 3*z**3 - 39*z**2/14 + 66*z/7 - 61. Suppose l(y) = 0. What is y?
-1, 1, 2, 11
Suppose 7/6*h**4 + 1/6*h**5 + 10/3*h**2 + 0 + 3*h**3 + 4/3*h = 0. What is h?
-2, -1, 0
Let f(v) be the second derivative of 0 + 13*v - 1/32*v**4 - 1/16*v**2 + 1/16*v**3 + 1/160*v**5. What is p in f(p) = 0?
1
Let k(x) = -2*x**2 - 129*x - 1729. Let n be k(-19). Let -s**3 - 1/2*s**2 + 1/2*s**4 + n + s = 0. Calculate s.
-1, 0, 1, 2
Let r(y) be the second derivative of -y**5/140 + 3*y**4/56 + 7*y**2/2 + 16*y. Let w(o) be the first derivative of r(o). Find j, given that w(j) = 0.
0, 3
Let t(j) be the first derivative of 0*j**3 + 0*j**2 + 0*j + 2*j**4 + 2*j**6 - 19 + 28/5*j**5. Factor t(r).
4*r**3*(r + 2)*(3*r + 1)
Suppose -3*k + 2*z = k - 8, -z = -5*k + 13. Suppose -5*c**2 - 25*c + k + 31 - 4 = 0. Calculate c.
-6, 1
Let t(y) be the second derivative of y**4/4 + 46*y**3/3 - 31*y**2/2 + 169*y. Let t(r) = 0. Calculate r.
-31, 1/3
Let o = 52/203 + 99/406. Let 3/2*c**2 - c + 0 - o*c**3 = 0. What is c?
0, 1, 2
Let z = 14151/8 - 1772. Let m = -21/8 - z. Solve -m + o**3 - o + 1/2*o**4 + 0*o**2 = 0 for o.
-1, 1
Determine k, given that -42/5*k**3 - 88*k**2 - 1/5*k**4 + 42/5*k + 441/5 = 0.
-21, -1, 1
Let o = 2515 - 2515. Solve 0*h + 0 + o*h**2 - 8/13*h**4 - 2/13*h**5 - 8/13*h**3 = 0 for h.
-2, 0
Let t(v) = 20*v**2 + 14*v. Let j be t(-1). Solve 1/3*o**3 + 36*o + j*o**2 + 72 = 0.
-6
Let r(k) be the third derivative of 0*k + 7*k**2 - 1/96*k**4 + 0*k**3 + 1/240*k**5 + 0. Factor r(j).
j*(j - 1)/4
Let k be (-60)/(-16) - 45/60. Factor 0 + 2/7*d**2 + 1/7*d**k + 0*d.
d**2*(d + 2)/7
Let q = -133047/7 - -19007. Find o such that -q*o**3 + 0*o + 0 - 6/7*o**4 + 2/7*o**5 + 6/7*o**2 = 0.
-1, 0, 1, 3
Suppose 8 = 3*h + 14, -2*q = 4*h - 36. Let v be 92/q - 12*10/660. Let -6/11*u**3 - 6/11*u**2 - 2/11*u**v + 0 - 2/11*u = 0. What is u?
-1, 0
Let i(m) be the first derivative of 2 - 8*m**2 - 4/3*m**3 + 0*m. Factor i(v).
-4*v*(v + 4)
Let o(y) be the third derivative of -y**6/120 + y**5/20 - 2*y**3/3 - 103*y**2. Factor o(g).
-(g - 2)**2*(g + 1)
Let u(m) be the third derivative of -m**6/720 - m**5/90 + 11*m**4/144 - m**3/6 + 254*m**2. Determine k, given that u(k) = 0.
-6, 1
Let a(y) be the first derivative of 5/33*y**6 + 7 - 2/11*y**3 + 0*y + 14/55*y**5 + 0*y**2 - 1/22*y**4. Factor a(g).
2*g**2*(g + 1)**2*(5*g - 3)/11
Solve -105/2*a + 27/2*a**2 - 66 = 0.
-1, 44/9
Let n be (-8)/12 + 1250/(-15). Let y = -84 - n. Factor 3/4*t**2 - 3/4*t + y.
3*t*(t - 1)/4
Let b(k) be the second derivative of -k**6/30 + k**5/15 + k**4/6 - 2*k**3/3 - 5*k**2/2 - 14*k. Let w(r) be the first derivative of b(r). Factor w(d).
-4*(d - 1)**2*(d + 1)
Let f(j) = j + 7. Let w be f(-5). Suppose w*v - 6 = l, 3*v + l = -0*v + 4. Determine q so that 10*q**3 - 4*q**3 - q**4 - 6*q + 3*q**2 - v*q**4 = 0.
-1, 0, 1, 2
Let g(x) be the first derivative of 1/3*x**3 - 3/8*x**2 + 0*x - 1/16*x**4 + 2. Factor g(v).
-v*(v - 3)*(v - 1)/4
What is s in 150*s**3 + 37 - 7 - 140*s**2 - 48*s**5 + 23*s**5 - 5*s - 10*s**4 = 0?
-3, -2/5, 1
Let t be (-1)/(-570)*16 + (-2)/(-19). Factor 2/5 + 4/15*z - t*z**2.
-2*(z - 3)*(z + 1)/15
Let z be (9/(-24))/(-3 - (-195)/(-100)). Let p(h) be the second derivative of z*h**4 + 4/33*h**3 + 4*h + 0 - 1/11*h**2. Solve p(l) = 0.
-1, 1/5
Let s(k) be the second derivative of -14*k + 2/75*k**6 - 1/15*k**4 + 0*k**5 + 0 - 1/105*k**7 + 1/15*k**3 + 0*k**2. Factor s(m).
-2*m*(m - 1)**3*(m + 1)/5
Let a be 3/((-9)/(-6)*(-6)/(-57)). Let h = -16 + a. Factor 0 - 1/2*k**h - 1/2*k**2 + 0*k.
-k**2*(k + 1)/2
Let s = 833 - 5828/7. Determine v so that -3/7*v**2 - 1/7 - 1/7*v**3 - s*v = 0.
-1
Let t(c) be the first derivative of 2*c**5/25 - 33*c**4/20 + 3*c**3 + c**2/10 - 3*c - 87. Determine n so that t(n) = 0.
-1/2, 1, 15
Let z(x) b