derivative of -d**5/5 + 10*d**4/3 - 22*d**3 + 72*d**2 - 7*d - 29. What is g in s(g) = 0?
3, 4
Let h(d) be the third derivative of -3*d**6 + 7*d**5 - 125*d**4/48 + 5*d**3/12 - 43*d**2 + 3*d. Factor h(s).
-5*(s - 1)*(12*s - 1)**2/2
Let u = -8 - -15. Suppose 0*q + 2 = 2*q + 4*g, -4*q - 5*g = -u. Factor 5*w**4 - 6*w**q - 3 - 3*w**5 - 6*w**2 - w**4 + 5*w**4 + 9*w + 0*w**5.
-3*(w - 1)**4*(w + 1)
Let b(z) = -6*z**5 + 2*z**4 - 5*z**3 + 5. Let i(u) = -7*u**5 + 2*u**4 - 6*u**3 + 6. Let q be (2*3)/2 + (-3)/(-1). Let v(k) = q*b(k) - 5*i(k). Factor v(n).
-n**4*(n - 2)
Let q(l) be the second derivative of l**4/18 + 56*l**3/9 + 784*l**2/3 + 179*l. Determine t, given that q(t) = 0.
-28
Let l(h) be the second derivative of h**5/30 + 23*h**4/9 + 89*h**3/9 + 44*h**2/3 - 176*h + 1. Suppose l(g) = 0. What is g?
-44, -1
Let l be 6 + -9 + 12 + 1. Suppose -l = -2*z - 0. Factor -2*g**3 + 2 + g**4 + g - 1 + g**z - 2*g**2 + 0*g**4.
(g - 1)**2*(g + 1)**3
Let u(f) be the third derivative of f**7/70 - 7*f**6/40 + 3*f**5/4 - 9*f**4/8 - 19*f**2 - 2*f. Factor u(i).
3*i*(i - 3)**2*(i - 1)
Let a(q) = 166*q**2. Let l be a(-1). Let w = 170 - l. Let 3/4*b**3 - 1/2*b**2 + 0*b - 1/4*b**w + 0 = 0. What is b?
0, 1, 2
Let o = -6 - -9. Suppose 2*u = 3 + o. Factor -f**3 - f**u - 5*f**3 - 3 + 3*f**4 + 6*f + f**3.
3*(f - 1)**3*(f + 1)
Let k = -10 + 11. Let x be (k + 4)*4/70. Factor x - 2/7*f**2 + 0*f.
-2*(f - 1)*(f + 1)/7
Let b be (-218)/654*(39/13 + (-25)/3). Suppose -4/9*y**2 - 8/3*y + b + 2/3*y**3 = 0. What is y?
-2, 2/3, 2
Suppose 1/6*c**3 - 17/6*c**2 - 40/3*c - 14 = 0. What is c?
-2, 21
Let u(t) be the first derivative of 1/2*t + 29 + 3/4*t**4 - 3/2*t**2 - 1/6*t**3. Find g such that u(g) = 0.
-1, 1/6, 1
Let m be 20/(-90) + 20/9. Find j, given that 35*j**5 + 40*j**3 - 95*j**4 + 12*j**2 + 9*j**2 + 4*j**2 - 5*j**m = 0.
-2/7, 0, 1, 2
Factor 325*s**3 - 4096*s + 768*s**2 - 216*s**3 + s**4 - 157*s**3.
s*(s - 16)**3
Let y be (4 - 2) + (-15)/(-18)*52. Let m = y - 45. Find k, given that -m*k**3 - k**2 - k - 1/3 = 0.
-1
Suppose -584*p + 65*p**3 - 70 - 5*p**4 + 0*p**4 + 75*p**2 + 1051*p - 532*p = 0. What is p?
-1, 1, 14
Let g(w) = 6*w**3 + 152*w**2 - 6385*w + 6234. Let s(d) = -5*d**3 - 153*d**2 + 6387*d - 6235. Let i(m) = 6*g(m) + 7*s(m). Factor i(v).
(v - 79)**2*(v - 1)
Suppose -v - 4*g + 5 = -3*g, 0 = -3*g + 3. Let a be (9/(-6))/((-3)/v). Find k such that 6*k**a - 5*k + 4 - 13*k + 4*k = 0.
1/3, 2
Let a(c) be the third derivative of c**3/6 + c**2. Let h(z) = 3*z**2 - 4*z**2 + 6 - 2*z**2 + z**2 + 2*z. Let q(p) = -6*a(p) + h(p). Factor q(y).
-2*y*(y - 1)
Let v(m) = 0*m**4 + 2*m**3 + 92*m - m**4 - 11 - 81*m + m**3. Let d(o) = o - 1. Let h(g) = -22*d(g) + 2*v(g). Suppose h(b) = 0. Calculate b.
0, 3
Let y(q) = -2*q**3 + 34*q**2 - 28*q - 70. Let t(d) = -5*d**3 + 70*d**2 - 55*d - 140. Let l(j) = -3*t(j) + 5*y(j). Find u, given that l(u) = 0.
-1, 2, 7
Suppose -2*l - 72 = -3*c - 0*c, -2*c + l + 48 = 0. Determine z so that -20*z - 5*z**4 - 25*z**3 - 8*z**2 - 8*z**2 - c*z**2 = 0.
-2, -1, 0
Factor -15/2*n**4 + 0 - 3995/2*n**2 + 1445*n - 250*n**3.
-5*n*(n + 17)**2*(3*n - 2)/2
Let c be ((50/15)/(-5))/((-2)/156). Factor -22*x - x**3 + 15 - 13*x**3 + 1 - c*x**2 - 18*x.
-2*(x + 2)**2*(7*x - 2)
Suppose -f = s - 2*s, 2*f = 4*s - 4. Find r such that 0*r**2 - r - r**2 + 2*r + 2*r**s = 0.
-1, 0
Let q(a) be the first derivative of -12 + 9/4*a**2 + 0*a - 5/2*a**3 + 3/10*a**5 + 3/8*a**4. Find r, given that q(r) = 0.
-3, 0, 1
Let x(k) be the third derivative of k**5/450 - k**4/20 + 8*k**3/45 + 53*k**2. Suppose x(d) = 0. Calculate d.
1, 8
Let a = -16915/7 - -2417. Factor 6/7*p + 4/7 + 2/7*p**5 - 8/7*p**3 - a*p**2 + 0*p**4.
2*(p - 2)*(p - 1)*(p + 1)**3/7
Factor -2/5*p**2 - 4/5*p**3 + 4/5*p + 2/5.
-2*(p - 1)*(p + 1)*(2*p + 1)/5
Let c(q) be the second derivative of -1/315*q**7 + 2/225*q**6 + 0 - 1/45*q**4 - q + 0*q**2 + 0*q**5 + 1/45*q**3. Factor c(b).
-2*b*(b - 1)**3*(b + 1)/15
Let v = 12 + -11. Suppose 0 = -4*c - 12, -2*c - v = 2*q + 1. Factor -3 + 2*s**q - 3*s**2 + 4*s**2.
3*(s - 1)*(s + 1)
Let c(u) be the first derivative of -15*u**4/4 - 3*u**3 + 15*u**2/2 + 9*u + 5. Factor c(t).
-3*(t - 1)*(t + 1)*(5*t + 3)
Let r(g) = -1125*g + 31365. Let y(h) = h**2 - 562*h + 15682. Let x(j) = -2*r(j) + 5*y(j). Factor x(l).
5*(l - 56)**2
Factor -34*j**3 - 15*j - 3*j**2 + 5*j**4 + 9*j**3 + 12*j**2 + 26*j**2.
5*j*(j - 3)*(j - 1)**2
Let n = 15646/1705 - -8/341. Let g(r) be the first derivative of 24/5*r - n*r**3 - 21/25*r**5 + 4 + 99/20*r**4 + 18/5*r**2. Suppose g(x) = 0. Calculate x.
-2/7, 1, 2
Let p(b) be the second derivative of b**6/36 - 5*b**5/24 - 5*b**4/9 + 20*b**3/3 + 2*b - 23. Factor p(k).
5*k*(k - 4)**2*(k + 3)/6
Let m(s) be the first derivative of -s**4/4 - 11*s**3/3 - 35*s**2/2 - 25*s - 82. Suppose m(u) = 0. What is u?
-5, -1
Find c such that 80/7 + 2/7*c**2 - 4*c = 0.
4, 10
Suppose -50158*v + 50140*v + 90 = 0. Factor 700/3*h**4 - 160/3*h + 580/3*h**2 - 196/3*h**v - 940/3*h**3 + 16/3.
-4*(h - 1)**3*(7*h - 2)**2/3
Let n(w) be the first derivative of 28/3*w**3 - 2*w**4 + 8*w + 30 - 14*w**2. Determine a so that n(a) = 0.
1/2, 1, 2
Let k(o) = -o**2 - 39*o - 264. Let l be k(-9). Let i(a) be the first derivative of 0*a + 0*a**3 + 0*a**5 + 1/8*a**4 - 1/12*a**l - 3 + 0*a**2. Factor i(m).
-m**3*(m - 1)*(m + 1)/2
Let d(i) be the first derivative of -13 - 5/6*i**4 + 14/15*i**5 + 0*i + 0*i**2 - 4/9*i**3. Factor d(j).
2*j**2*(j - 1)*(7*j + 2)/3
Let w(r) = 2*r**2 + 4*r + 2. Let y be w(-3). Suppose 6*n - 5*n**2 + 34*n**3 + 19*n**2 + y*n**4 - 2 + 4*n**4 + 16*n**2 = 0. Calculate n.
-1, 1/6
Solve -2/3*x**2 + 26/3*x - 8 = 0.
1, 12
What is d in 20*d**2 - 6*d**2 + 4*d**2 + 5*d - 16 - 10*d**3 + 7*d = 0?
-1, 4/5, 2
Let c(k) be the first derivative of 3*k**3 - 3/5*k**5 + 6 + 3/2*k**4 - 12*k - 6*k**2. Factor c(j).
-3*(j - 2)**2*(j + 1)**2
Let p(y) = -34*y**4 + 260*y**3 + 864*y**2 + 674*y + 26. Let f(x) = -4*x**4 + 29*x**3 + 96*x**2 + 75*x + 3. Let d(u) = 52*f(u) - 6*p(u). Factor d(m).
-4*m*(m + 1)*(m + 6)**2
Let x(z) be the first derivative of 6*z**3 - 3/5*z**5 - 3/4*z**6 + 21 + 3/4*z**2 + 15/4*z**4 - 3*z. Solve x(f) = 0.
-1, 1/3, 2
Let n = 46 + -28. What is o in 3*o**2 + 3*o**3 - 5 + 2*o**3 + 15*o - n*o**2 = 0?
1
Solve -8*l**2 - 2/3*l**3 + 18*l - 28/3 = 0 for l.
-14, 1
Let s be 1/(-120)*-186 - 3/4. Let l = -119 - -601/5. What is o in 4/5*o**2 - s*o**3 + 2/5 - 6/5*o**4 + l*o - 2/5*o**5 = 0?
-1, 1
Let y(o) be the third derivative of o**7/525 + o**6/75 - 2*o**5/25 + 173*o**2. Factor y(n).
2*n**2*(n - 2)*(n + 6)/5
Let q(b) be the second derivative of 4*b**2 + 0 - 1/6*b**4 - 32*b + b**3. Solve q(x) = 0.
-1, 4
Let w(g) be the second derivative of -1/11*g**2 + 0 - 2*g + 1/66*g**4 - 2/55*g**5 + 4/33*g**3. Solve w(i) = 0 for i.
-1, 1/4, 1
Let x(j) be the third derivative of j**7/2310 + j**6/440 - j**5/330 - j**4/22 - 4*j**3/33 + 8*j**2 - 4*j. Factor x(t).
(t - 2)*(t + 1)*(t + 2)**2/11
Factor -16/7 - 2/7*a**3 - 2/7*a**2 + 20/7*a.
-2*(a - 2)*(a - 1)*(a + 4)/7
Determine c, given that 2/5*c**2 + 22/5 - 24/5*c = 0.
1, 11
Let 11/6*o + 1 + 1/6*o**3 + o**2 = 0. Calculate o.
-3, -2, -1
Factor 2330*f + 2*f**2 + 2162*f - 4624*f.
2*f*(f - 66)
Let n(t) = t + 12. Let l(k) = 1. Let i(a) = 6*l(a) - n(a). Let y be i(-8). Determine x, given that -27*x**y - 3 - 1 - 2 + 33*x = 0.
2/9, 1
Let j = -333677/210 + 1589. Let z(g) be the third derivative of 0*g + 0 + 5/336*g**8 - 8*g**2 + 1/30*g**6 + 0*g**3 + 1/15*g**5 - j*g**7 + 0*g**4. Factor z(t).
t**2*(t - 2)*(t - 1)*(5*t + 2)
Let r = 326 + -322. Let -18/5*b**2 + r*b - 8/5 + 7/5*b**3 - 1/5*b**4 = 0. What is b?
1, 2
Let y(v) be the second derivative of -v**7/210 + v**5/10 - v**4/3 - 11*v**3/6 + 9*v. Let d(q) be the second derivative of y(q). Factor d(r).
-4*(r - 1)**2*(r + 2)
Let h(z) = -9*z - 28. Let d be h(-4). Let -3*l**3 + 18*l - 15*l**2 - d*l - 28*l = 0. What is l?
-3, -2, 0
Let r(b) be the third derivative of -b**5/5 - b**4/8 + 3*b**3/2 - 139*b**2. What is i in r(i) = 0?
-1, 3/4
Let d be (-1)/2*-1 - -2. Let y(c) be the first derivative of -d*c**2 + 2*c - 2/3*c**3 + 5/4*c**4 + 4. Factor y(a).
(a - 1)*(a + 1)*(5*a - 2)
Suppose -5*l + 14 = -2*f - 10*l, 19 = f - 4*l. Let b(o) be the second derivative of 1/48*o**4 - 10*o - 1/8*o**2 + 0 + 0*o**f. Determine x so that b(x) = 0.
-1, 1
Let g(z) be the first derivative of 1/8*z**2 + 