i(f) be the first derivative of f**4/5 - 8*f**3/5 + 24*f**2/5 - 32*f/5 + 15. What is l in i(l) = 0?
2
Let i(u) be the third derivative of 1/5*u**5 + 1/15*u**6 + 14*u**2 + 1/3*u**4 + 1/105*u**7 + 1/3*u**3 + 0*u + 0. Solve i(h) = 0.
-1
Let c be (10/(-8))/(30/(-12)). Let h(n) be the first derivative of 5/24*n**4 + c*n**2 + 2 + 0*n - 17/18*n**3. Suppose h(k) = 0. Calculate k.
0, 2/5, 3
Suppose -14/23*b + 16/23 - 2/23*b**2 = 0. Calculate b.
-8, 1
Suppose 0 = -3*j - 5*u + 26, -7*u = 5*j - 2*u - 50. Factor -11*o - 4*o - 3*o**3 + j*o**2 + 17 - 11.
-3*(o - 2)*(o - 1)**2
Let b(x) be the third derivative of x**5/270 - 13*x**4/54 - x**3 - 292*x**2. Factor b(v).
2*(v - 27)*(v + 1)/9
Let k(q) be the third derivative of q**8/1008 - q**7/90 + q**6/20 - q**5/9 + q**4/9 - 36*q**2 + 2. Let k(t) = 0. What is t?
0, 1, 2
Let k = -254/51 + 175/34. Factor 25/6 + k*q**2 - 5/3*q.
(q - 5)**2/6
Let z(j) be the first derivative of -49*j**6/18 - 7*j**5/5 + 61*j**4/6 - 20*j**3/3 + 4*j**2/3 + 127. Solve z(g) = 0.
-2, 0, 2/7, 1
Let a be -3 + ((-56)/48)/(1/(-9)). Let r(c) be the first derivative of 25*c**2 + a*c**4 - c**5 + 7 - 20*c**3 - 15*c. Factor r(l).
-5*(l - 3)*(l - 1)**3
Determine c, given that 16/3*c**2 - 2/9*c + 2/9*c**3 - 16/3 = 0.
-24, -1, 1
Let h(j) be the third derivative of -j**8/168 + 4*j**7/105 - j**6/10 + 2*j**5/15 - j**4/12 + 6*j**2 + 3*j. Factor h(s).
-2*s*(s - 1)**4
Let d(q) = 12*q**3 + 445*q**2 + 3225*q - 1122. Let m(y) = -25*y**3 - 890*y**2 - 6450*y + 2245. Let n(j) = 5*d(j) + 3*m(j). Suppose n(b) = 0. Calculate b.
-15, 1/3
Let o(k) = -2*k**3 - 3*k + 3. Let b be o(0). Let h(u) be the second derivative of -78/5*u**b + 0 - 3*u - 6591/100*u**5 - 12/5*u**2 - 507/10*u**4. Factor h(c).
-3*(13*c + 2)**3/5
Let o(u) be the first derivative of -u**7/42 - 7*u**6/90 - u**5/15 - 2*u**3/3 - 7. Let b(w) be the third derivative of o(w). Factor b(d).
-4*d*(d + 1)*(5*d + 2)
Let r be 64/(-384) - (-2)/12. Solve r - 2/13*x - 4/13*x**2 - 2/13*x**3 = 0 for x.
-1, 0
Let x(g) be the second derivative of g**6/30 + g**5/20 - 67*g**4/12 + 95*g**3/6 + 225*g**2 - 12*g. Factor x(o).
(o - 5)**2*(o + 2)*(o + 9)
Let p = -58 + 60. Find k such that 66*k**3 + k**4 + 24*k**3 + 9*k + 57*k**p + 3*k**4 + 20*k**4 = 0.
-3, -1/2, -1/4, 0
Factor 1/2*y**3 - 1/2*y + 1/2 - 3/8*y**2 - 1/8*y**4.
-(y - 2)**2*(y - 1)*(y + 1)/8
Let j(n) be the third derivative of -n**6/180 - 2*n**5/45 + 7*n**4/9 - 32*n**3/9 + 413*n**2. Factor j(d).
-2*(d - 2)**2*(d + 8)/3
Let x(n) be the third derivative of -5*n**8/1008 - n**7/21 - n**6/6 - 2*n**5/9 + 2*n**2 + 192*n. Factor x(h).
-5*h**2*(h + 2)**3/3
Factor -8836/3 - 188/3*q - 1/3*q**2.
-(q + 94)**2/3
Let -30/7*u**3 + 0*u**2 + 3/7*u**5 + 0 + 27/7*u**4 + 0*u = 0. Calculate u.
-10, 0, 1
Let t(f) be the third derivative of 1/360*f**6 - 1/18*f**4 + 0 + 0*f**5 - 13*f**2 + 0*f + 0*f**3. Factor t(h).
h*(h - 2)*(h + 2)/3
Let g(b) be the second derivative of 3*b - 7/2*b**2 + 0 - 5/12*b**4 - 2*b**3. Let j(p) = -p - 1. Let k(o) = -g(o) + 2*j(o). Factor k(t).
5*(t + 1)**2
Let u = -111 - -114. Let a(s) be the second derivative of 21/20*s**5 - 2*s**4 + 0 - 2*s**u + 0*s**2 + 1/2*s**6 - s. Let a(b) = 0. Calculate b.
-2, -2/5, 0, 1
Suppose 2/3*m**2 + 8/7 + 40/21*m = 0. What is m?
-2, -6/7
Let z(c) be the second derivative of -c**6/2340 - c**3/6 + 6*c. Let v(r) be the second derivative of z(r). Let v(o) = 0. Calculate o.
0
Determine k, given that -101*k + k**2 + k**3 + 0*k**3 + 99*k = 0.
-2, 0, 1
Let j be 9 + -12 - -1*5. Let t(y) = -y**2 + 2*y + 2. Let c be t(j). Factor 32*w**4 - 4*w**2 + 38*w**5 + 8*w**5 + c*w**5 - 4*w**3.
4*w**2*(2*w + 1)**2*(3*w - 1)
Suppose -41*v - 5 = -44*v - p, 0 = p + 1. Factor -14/13*b - 4/13*b**4 + 2/13*b**5 - 4/13*b**3 + 16/13*b**v + 4/13.
2*(b - 1)**4*(b + 2)/13
Let k = -247 + 247. Let a(i) be the third derivative of -1/32*i**4 + 1/280*i**7 - 1/80*i**5 + 4*i**2 + 0*i**3 + 0 + k*i + 1/160*i**6. Factor a(v).
3*v*(v - 1)*(v + 1)**2/4
Factor -8/9*k**2 + 2/9*k**4 - 88/9*k + 0 + 22/9*k**3.
2*k*(k - 2)*(k + 2)*(k + 11)/9
Suppose -5*v - y + 4 = -4*v, -y - 14 = -2*v. Let j = -3 + v. Factor -4*z**3 + 2*z**4 + 0*z**3 - 2*z**j.
2*z**3*(z - 3)
Let f(m) = -3*m + 12. Let v be f(3). Find t such that -t**2 - 2*t**2 + 5*t**2 - t**4 - t**5 - t + 2*t**v + 0*t**4 - 1 = 0.
-1, 1
Let n(c) = 3*c**2 + 17. Let k(j) = -3*j**2 - 3*j - 16. Let x(d) = -5*k(d) - 4*n(d). Suppose x(g) = 0. What is g?
-4, -1
Let q(a) be the second derivative of a**5/90 + a**4/24 + a**3/18 - 5*a**2/2 + 18*a. Let j(t) be the first derivative of q(t). Suppose j(x) = 0. What is x?
-1, -1/2
Let j(h) be the first derivative of -2*h**5/35 + 5*h**4/14 - 8*h**3/21 - 2. Solve j(d) = 0 for d.
0, 1, 4
Let m = 697 - 432. Let f = -1055/4 + m. Factor f*g**2 - 7/4*g - 1/2 + g**3.
(g - 1)*(g + 2)*(4*g + 1)/4
Suppose x**2 - 16*x - 16 + 2 - 3*x**2 = 0. Calculate x.
-7, -1
Let h(m) be the first derivative of -13*m**4/32 + m**3/8 - 12*m - 13. Let p(j) be the first derivative of h(j). Factor p(z).
-3*z*(13*z - 2)/8
Factor 2/9*v**3 + 2/9*v + 8/9*v**2 - 4/3.
2*(v - 1)*(v + 2)*(v + 3)/9
Let r(i) be the first derivative of -15/8*i**4 + 3/4*i**2 - 40 - 3/5*i**5 - 3/2*i**3 + 3/2*i. Factor r(t).
-3*(t + 1)**3*(2*t - 1)/2
Let q = -3/1030 + 5159/3090. Let a(u) be the third derivative of 0*u - 10/3*u**4 + 8/3*u**3 + 0 + 7*u**2 + q*u**5. Factor a(b).
4*(5*b - 2)**2
Let h(g) = 23*g**3 + 3*g - 2. Let z be h(1). Factor 3*f**2 + 162 + f**2 - 2*f**2 + z*f - 60*f.
2*(f - 9)**2
Let c(o) = 168*o - 169*o + 2 + 10. Let r be c(7). Factor -6*f**r - 3*f + 3*f + 2*f**5.
-4*f**5
Let f(x) = x**3 + 2*x**2 + 6. Let q be f(0). Let j(s) = s**3 + s**2 - 1. Let v(u) = -3*u**3 - 8*u**2 - 12*u - 6. Let y(l) = q*j(l) + 3*v(l). Factor y(c).
-3*(c + 2)**3
Let j(d) = 94*d**2 + 0*d - d**3 - 94*d**2 + d. Let r(i) = 25*i**3 + 75*i**2 - 125*i + 25. Let z(u) = 5*j(u) + r(u). Factor z(v).
5*(v - 1)*(v + 5)*(4*v - 1)
Factor 5/2*x**2 + 15 + 25/2*x.
5*(x + 2)*(x + 3)/2
Let l(s) = 10*s**2 - 46*s + 148. Let i(f) = 24*f**2 - 93*f + 298. Let o(t) = 4*i(t) - 10*l(t). Find n such that o(n) = 0.
4, 18
Let m(q) be the second derivative of -2*q + 0*q**4 + 1/150*q**6 + 0*q**2 + 0 + 0*q**3 - 1/100*q**5. Factor m(y).
y**3*(y - 1)/5
Let g = -27 + 7. Let m = g + 28. Factor -d**2 - 10 - 4*d + m - d**2.
-2*(d + 1)**2
Let s = 148 + -260. Let x be (6/8)/((-679)/s + -4). Factor x*m - 6/11*m**2 + 0 + 2/11*m**3.
2*m*(m - 2)*(m - 1)/11
Let d be (29/((-1508)/494))/(-19). Factor d*w**2 - 1/2*w - 3.
(w - 3)*(w + 2)/2
Let w(n) = -1. Let h(z) = -9*z**2 + 3*z - 5. Let o(y) = -h(y) - w(y). Let r(b) = -8*b**2 + 4*b - 6. Let a(u) = 5*o(u) + 6*r(u). Find d such that a(d) = 0.
1, 2
Let o(i) be the third derivative of i**5/30 - i**4/2 + 3*i**3 + 2*i**2 - 100*i. Find k, given that o(k) = 0.
3
Let z = 23601/13769 + 3/13769. Find y such that -6/7*y**2 + 12/7*y**3 - 3/7*y**4 - z*y + 9/7 = 0.
-1, 1, 3
Suppose 115*p - 5640 = -167*p. Determine t, given that 5/3*t**2 + 60 + p*t = 0.
-6
Let v be 18 + (-130)/10 + -5. Let p(q) be the third derivative of 0*q + v*q**5 + 0*q**4 + 0 - 1/210*q**7 - 7*q**2 + 0*q**6 + 0*q**3. Factor p(z).
-z**4
Factor 0 + 0*v**2 + 4/5*v**4 - 2/15*v**5 - 2/3*v**3 + 0*v.
-2*v**3*(v - 5)*(v - 1)/15
Let z(i) = -2*i**4 - i**3 - i**2 - i + 1. Let t(a) = -3*a**4 - 6*a**3 + 13*a**2 - a + 1. Let m(u) = t(u) - z(u). Determine b, given that m(b) = 0.
-7, 0, 2
Let h(z) = -z**3 + 7*z**2 + 9*z - 6. Let t be h(8). Determine a, given that 1 + 74*a**t - 66*a**2 - 3 - 6*a = 0.
-1/4, 1
Let c(m) = 2*m**5 - 19*m**4 - 72*m**3 - 78*m**2 - 26*m + 4. Let x(n) = n**5 + n**4 - n - 4. Let s(g) = c(g) + x(g). Suppose s(h) = 0. What is h?
-1, 0, 9
Let x be (-3892)/30*15*3/27. Let g = -216 - x. What is j in -g*j**2 + 4/9*j + 0 - 2/9*j**3 = 0?
-2, 0, 1
Factor -4*o**3 - 4*o**2 - 2*o**4 - 2/5*o**5 - 2/5 - 2*o.
-2*(o + 1)**5/5
Factor -3*h - 1/3*h**3 + 0 + 2*h**2.
-h*(h - 3)**2/3
Let k(u) = -32*u**2 + 938*u + 190. Let f(a) = a**2 + a. Let z(l) = 7*f(l) + k(l). Determine g, given that z(g) = 0.
-1/5, 38
Let y(q) be the first derivative of 0*q + 2/5*q**5 - q**4 + 16 - 2/3*q**3 + 2*q**2. Suppose y(l) = 0. Calculate l.
-1, 0, 1, 2
Let x(p) be the second derivative of -3/10*p**5 - 1/9*p**4 + 2*p - 4/15*p**6 - 5/63*p**7 + 0 + 0*p**3 + 0*p**2. Let x(o) = 0. Calculate o.
-1, -2/5, 0
Factor 33/2*b**2 + 11*b**3 + 10*b + 2 + 5/2*b**4.
(b + 1