derivative of g(i). Factor z(r).
-3*(r + 5)**2/2
Let 1862/15*q + 160/3*q**3 - 616/5*q**2 - 686/15 - 128/15*q**4 = 0. Calculate q.
1, 7/4
Let r be -14 + 335/25 + 3. Find o such that r*o - 9/5 - 3/5*o**2 = 0.
1, 3
Determine f, given that 50 - 85/3*f - 1/3*f**3 + 16/3*f**2 = 0.
5, 6
Let m(p) = p**4 + p - 1. Let y(o) = -16*o**4 + 6*o**3 - 8*o**2 - 21*o + 24. Let a(j) = 30*m(j) + 2*y(j). Determine t so that a(t) = 0.
-1, 1, 3
Let f(k) be the first derivative of k**9/1512 + k**8/210 + k**7/84 + k**6/90 - 3*k**3 - 17. Let u(g) be the third derivative of f(g). Find a such that u(a) = 0.
-2, -1, 0
Let y be (-2115)/(-30) + (-2)/(-4). Suppose -17*n**4 + 6*n**4 - 4*n**5 - y*n**2 - 76*n**3 - 29*n**2 - 64*n - 17*n**4 - 16 = 0. Calculate n.
-2, -1
Let i = -6/149 + 161/298. Suppose i*k + 0 + 1/4*k**2 - 1/4*k**3 = 0. What is k?
-1, 0, 2
Let c(k) = -k**3 + k. Let i(b) = b**3 + 2*b**2 - 5*b - 5. Let n be i(-3). Let h(w) = -15*w**3 - 75*w**2 - 65*w + 20. Let o(d) = n*h(d) + 5*c(d). Factor o(v).
-5*(v + 2)**2*(4*v - 1)
Let s = -4 + 10. Let v(u) be the first derivative of 0*u + 0*u**2 + 0*u**5 - 1 + 0*u**3 + 1/24*u**s - 1/16*u**4. Let v(h) = 0. What is h?
-1, 0, 1
Let s(a) be the first derivative of -5*a**4/4 - 55*a**3/3 + 105*a**2 + 447. Find g, given that s(g) = 0.
-14, 0, 3
Let c(x) be the second derivative of -2*x**6/75 - x**5/25 + 11*x**4/15 + 6*x**3/5 - 36*x**2/5 + 78*x - 2. Determine b so that c(b) = 0.
-3, -2, 1, 3
Let w(h) be the third derivative of -h**7/630 + 7*h**6/180 - h**5/5 - 37*h**4/24 + 6*h**2. Let t(u) be the second derivative of w(u). Factor t(r).
-4*(r - 6)*(r - 1)
Let s(m) be the second derivative of -m**8/420 + m**7/105 - m**5/15 + m**4/6 - 3*m**3/2 - 8*m. Let d(c) be the second derivative of s(c). Solve d(q) = 0 for q.
-1, 1
Let w be ((-6)/(-15) - 16/(-60))*(-84)/(-63). Factor -2/9*i**3 - w + 8/9*i**2 + 2/9*i.
-2*(i - 4)*(i - 1)*(i + 1)/9
Let g be (414/24)/((-2)/(-8)). Solve g*c - 34*c - 27*c - 6*c**2 + c**3 = 0.
0, 2, 4
Suppose 10 = 15*h - 35. Suppose 14/9*z - 2/9*z**5 - 4/3*z**h + 4/9*z**2 - 10/9*z**4 + 2/3 = 0. Calculate z.
-3, -1, 1
Find y such that 0 - 3*y**4 + 3*y**2 + 3/2*y**3 - 3/2*y = 0.
-1, 0, 1/2, 1
Let j(o) be the third derivative of -o**7/70 + 23*o**6/20 - 481*o**5/20 - 138*o**4 - 288*o**3 - 403*o**2. Factor j(m).
-3*(m - 24)**2*(m + 1)**2
Let h(q) = q**3 - q**2 - 4*q - 1. Let w be h(3). Factor 3*s**3 + 15*s**2 + w - s**3 + 10*s + 3*s**3 + 5*s.
5*(s + 1)**3
Let g(q) be the second derivative of q**6/720 + q**5/40 + 3*q**4/16 + 5*q**3/6 + 25*q. Let i(k) be the second derivative of g(k). Find b such that i(b) = 0.
-3
Let a(t) be the second derivative of -3*t**5/20 + 17*t**4/12 - 7*t**3/2 - 9*t**2/2 - 89*t. Solve a(j) = 0.
-1/3, 3
Let r(i) be the first derivative of 5 - 7/2*i**4 - 4*i**2 + 9/10*i**5 - 3*i + 16/3*i**3. Let c(z) be the first derivative of r(z). Factor c(p).
2*(p - 1)*(3*p - 2)**2
Let i be ((-1020)/(-72))/(-17)*-6. Factor 3/2*o**3 + 1/4*o**i - 8*o**2 - 8*o + 0 + 7/4*o**4.
o*(o - 2)*(o + 1)*(o + 4)**2/4
Let t = -109151/8 - -13647. Solve -13/4*y**2 + 1 - 1/2*y - 3/4*y**4 + t*y**3 = 0 for y.
-1/2, 2/3, 2
Let t(w) be the first derivative of 36*w**3 - 18*w**2 + 3*w - 10. Factor t(j).
3*(6*j - 1)**2
Let h(s) be the first derivative of s**4/3 - 2*s**3 + 6*s + 32. Let j(a) be the first derivative of h(a). Factor j(f).
4*f*(f - 3)
Let k(m) = -22*m - 18. Let x be k(-4). Let 6*g**2 - x*g - 3*g**2 + 49*g = 0. Calculate g.
0, 7
Let l(h) = -2*h**3 + 4*h**2 - 7*h - 1. Let a be l(3). Let q be (-105)/a - (-1)/(-1)*2. Factor -q*z - 1/8*z**3 + 1/4 + 1/2*z**2.
-(z - 2)*(z - 1)**2/8
Let -16 + 0*a**3 + a**3 - 22*a - 44*a**2 + 0*a**3 + 39*a**2 = 0. Calculate a.
-2, -1, 8
Let d = -2/6829 - 2041863/27316. Let y = d + 75. Solve -f + 1 + y*f**2 = 0.
2
Let n(o) be the second derivative of o**5/60 + 5*o**4/12 - 10*o - 3. Factor n(u).
u**2*(u + 15)/3
Let f = 327622/7 - 46795. Suppose -15/7*p**5 - 12*p + 24/7 + 6*p**2 - 24/7*p**4 + f*p**3 = 0. What is p?
-2, 2/5, 1
Let k = 134/21 + -1009/168. Let k*n**5 + 0 - 1/4*n - 1/8*n**3 - 5/8*n**4 + 5/8*n**2 = 0. Calculate n.
-1, 0, 2/3, 1
Suppose -510 = 6*f + 24. Let s = f - -89. What is y in s - y**2 - 2/3*y - 1/3*y**3 = 0?
-2, -1, 0
Let f(o) be the first derivative of 5*o**3/3 - 115*o**2/2 - 788. Factor f(p).
5*p*(p - 23)
Let c be 2 + -1 + -2 + 3. Solve -20 - 19*i**3 + 2*i**2 - 40*i + 27*i**2 + 6*i**c + 44*i**3 = 0 for i.
-2, -2/5, 1
Let -2/3*h**4 - 2/15*h**5 + 2/3*h**2 + 0 + 4/5*h - 2/3*h**3 = 0. What is h?
-3, -2, -1, 0, 1
Let d(p) be the third derivative of -p**8/36960 + p**7/13860 + p**6/792 + p**5/220 + p**4/24 + p**2. Let a(l) be the second derivative of d(l). Factor a(t).
-2*(t - 3)*(t + 1)**2/11
Let g(a) = 2*a**3 + 45*a**2 + 141*a + 213. Let l(z) = 2*z**3 + 40*z**2 + 142*z + 214. Let f(v) = 2*g(v) - 3*l(v). Factor f(i).
-2*(i + 3)*(i + 6)**2
Let u(j) be the second derivative of j**4/102 + 2*j**3/51 + 3*j + 3. Solve u(l) = 0.
-2, 0
Let c = 40/203 - -18/203. Factor 0 + 6/7*q**5 + 0*q + c*q**2 + 2*q**4 + 10/7*q**3.
2*q**2*(q + 1)**2*(3*q + 1)/7
Let j(v) = -2*v**5 - 6*v**4 + v**3 + 9*v**2 + v - 3. Let g(k) = -2*k**5 - 6*k**4 + 8*k**2 + 2*k - 2. Let h(n) = -3*g(n) + 4*j(n). Let h(w) = 0. What is w?
-3, -1, 1
Let t(f) be the second derivative of 2*f**6/45 - 2*f**5/5 - f**4/3 + 104*f**3/9 - 40*f**2 + f - 49. Factor t(m).
4*(m - 5)*(m - 2)**2*(m + 3)/3
Factor 40*d - 1367*d**2 - 44 - 1361*d**2 + 2732*d**2.
4*(d - 1)*(d + 11)
Suppose 4*o - 13 = -3*z - 2, 5*o = 2*z - 15. Let s(r) be the third derivative of 0 + 1/4*r**4 - 1/30*r**z - r**2 + 0*r - 2/3*r**3. Suppose s(a) = 0. What is a?
1, 2
Let f(d) be the first derivative of d**6/2 - 21*d**5/5 + 51*d**4/4 - 17*d**3 + 9*d**2 - 33. Factor f(g).
3*g*(g - 3)*(g - 2)*(g - 1)**2
Suppose -5*f + f + 4 = 2*g, -g - 8 = -3*f. Suppose -5*x + 2*j + 16 = 0, 0*x - 3*j = -x - f. Determine r so that 0*r**5 + 0*r**5 + 2*r**5 + 2*r**x = 0.
-1, 0
Let k(x) be the second derivative of x**4/20 - 11*x**3/5 + 130*x. Suppose k(l) = 0. Calculate l.
0, 22
Suppose -4*s - 82 - 34 = 0. Let l = -29 - s. Factor -2/3*o + l - 2/3*o**2.
-2*o*(o + 1)/3
Let p(l) = -4*l - 8 + 6*l**2 + 10*l + 6*l + 6. Let z(m) = -m**2 - m. Let v(t) = -p(t) - 8*z(t). Factor v(j).
2*(j - 1)**2
Let d(s) be the first derivative of s**4/2 - 92*s**3/21 - 11*s**2 - 48*s/7 - 49. Let d(w) = 0. What is w?
-1, -3/7, 8
Suppose 9*v = 4*z + 11*v - 10, 0 = 4*z - v - 7. Factor -9*k + k**z + k + 0*k + 7.
(k - 7)*(k - 1)
Let j be (-39)/(-12)*(0 - -4). Suppose -3*p + j = -3*b + 2*b, -4*p - b = -8. Suppose -2*t**p - 8*t + 15*t - 6*t - 2*t**2 + t**4 + 1 + t**5 = 0. What is t?
-1, 1
Suppose -6*p = -5*p - 3*c - 10, 2*p + 2*c + 4 = 0. Let f(h) be the first derivative of 0*h**4 - 1/3*h**6 + p + 4/5*h**5 + h**2 - 4/3*h**3 + 0*h. Factor f(l).
-2*l*(l - 1)**3*(l + 1)
Let k(a) be the first derivative of -a**2 + 1/8*a**4 - 1/9*a**3 - 4/3*a - 12 + 1/30*a**5. What is p in k(p) = 0?
-2, -1, 2
Let s(m) = 10*m**4 + 58*m**3 + 84*m**2 + 32*m + 4. Let q(v) = -29*v**4 - 174*v**3 - 252*v**2 - 96*v - 11. Let k(h) = 4*q(h) + 11*s(h). Factor k(x).
-2*x*(x + 1)*(x + 8)*(3*x + 2)
Suppose o = 11 - 1. Let l be (58/(-435))/((-1)/o). Suppose -4*k**2 + l*k + 0 - 4/3*k**4 + 4*k**3 = 0. Calculate k.
0, 1
Let h(p) = -p**2 + 12*p - 11. Let w be h(11). Let f(i) be the first derivative of -5 + 1/6*i**4 + w*i**2 - 1/3*i + 1/3*i**3. What is j in f(j) = 0?
-1, 1/2
Let a be (4/3)/(-2) + 986/102. Factor 4*u - 3 - 9*u**2 + 10*u**2 + a - 3.
(u + 1)*(u + 3)
Let 0*q + 0 + 3/2*q**3 + 3/8*q**5 + 3/2*q**4 + 0*q**2 = 0. Calculate q.
-2, 0
Suppose 0 = -3*u - w + 5*w + 32, -3 = -2*u - w. Let 2*f**4 - 2*f**u - f**4 - 4*f**4 - 10*f - 25*f**2 - 20*f**3 = 0. Calculate f.
-2, -1, 0
Let q(u) be the first derivative of u**3/15 - 9*u**2/10 - 93. Solve q(s) = 0 for s.
0, 9
Let c = -21 + 20. Let l be (-3)/((-4)/(3 - c)). Factor 6*f**2 + 0*f**3 - 3*f**l + 9*f + 0*f**3.
-3*f*(f - 3)*(f + 1)
Suppose -6*m + 61 = 11*m + 27. Let -3/8*v - 3/4*v**m + 0 - 3/8*v**3 = 0. What is v?
-1, 0
Let l = -595/4 - -151. Determine u so that 3/4*u**3 - l + 9/4*u**2 - 3/4*u = 0.
-3, -1, 1
Let b(d) be the third derivative of d**5/270 - d**4/6 + 3*d**3 + 478*d**2. Factor b(v).
2*(v - 9)**2/9
Determine o so that -8/7*o - 12/7*o**3 + 20/7*o**2 - 4/7*o**4 + 0 + 4/7*o**5 = 0.
-2, 0, 1
Let h(v) = -v + 13. Let j be h(10). 