e first derivative of u**5/48 - u**4/32 - u**3/12 - 13*u**2/2 - 5. Let o(c) be the second derivative of h(c). Factor o(g).
(g - 1)*(5*g + 2)/4
Let d(t) be the first derivative of -t**5/240 - 5*t**4/96 + t**3/4 - 17*t**2 - 15. Let o(r) be the second derivative of d(r). Factor o(f).
-(f - 1)*(f + 6)/4
Factor -3*o**4 - 28*o**3 - 72*o**2 - 2*o**3 + 6*o**4.
3*o**2*(o - 12)*(o + 2)
Let n(a) be the third derivative of -a**6/360 - a**5/20 + a**4/72 + a**3/2 - 873*a**2. Find u, given that n(u) = 0.
-9, -1, 1
Let t(c) be the second derivative of 25*c**7/42 + 16*c**6/3 + 3*c**5 + 2*c - 183. What is o in t(o) = 0?
-6, -2/5, 0
Let n(x) be the first derivative of x**5/15 + 7*x**4/12 + 11*x**3/9 + 5*x**2/6 - 46. Factor n(f).
f*(f + 1)**2*(f + 5)/3
Let k = 5310 - 26549/5. Factor 8/5*w**2 + k*w**3 + 0 + 16/5*w.
w*(w + 4)**2/5
What is k in 1/4*k**5 + 1/2*k**4 - 9/4*k**3 - 1/2*k**2 + 2*k + 0 = 0?
-4, -1, 0, 1, 2
Let t be (-1)/(-12)*-1*(-37 - -33). Let n(i) be the second derivative of 1/3*i**4 + 0 - t*i**3 - 1/10*i**5 + 0*i**2 - 5*i. Factor n(z).
-2*z*(z - 1)**2
Suppose -5*x + n + 734 = 0, -x + 0*x - 3*n = -134. Let m = -142 + x. Solve 4/3*w + 2/3*w**m - 10/3*w**2 - 2/3*w**5 + 2*w**3 + 0 = 0.
-2, 0, 1
Let u = -16 + 16. Suppose 2*m + 12 + u = 4*x, -14 = -m - 3*x. Factor -4*b**3 - 5*b**4 + 5*b**4 - 8*b**m + 4*b**4.
4*b**2*(b - 2)*(b + 1)
Let d be (868/63 - 14)/((-4)/6). Factor 0 - d*q**2 + 1/6*q**5 - 2/3*q**4 + 5/6*q**3 + 0*q.
q**2*(q - 2)*(q - 1)**2/6
Let s(m) be the second derivative of m**5/50 - 2*m**4/15 - 11*m**3/15 - 6*m**2/5 + 146*m. Factor s(o).
2*(o - 6)*(o + 1)**2/5
Let b(n) = 2*n**2 - 17*n + 16. Let i be b(6). Let s be -2 + -3 + 2 + (-46)/i. Factor 0*l + 2/7*l**2 + s*l**5 + 6/7*l**4 + 0 + 6/7*l**3.
2*l**2*(l + 1)**3/7
Factor -4*p**2 - 20*p - 64/3 + 1/3*p**3.
(p - 16)*(p + 2)**2/3
Let d(l) be the first derivative of -l**4/4 - 2*l**3/3 - l**2/2 + 155. Find q, given that d(q) = 0.
-1, 0
Let m be ((-5)/(245/(-24)))/((800/1008)/25). Factor -36/7*l - m - 3/7*l**2.
-3*(l + 6)**2/7
Let f = 16594/5 - 3318. Factor -f*u - 8/5 - 1/10*u**2.
-(u + 4)**2/10
Let r = -108 + 110. Factor -5*f**3 + 6*f**2 + 187*f - 187*f + r*f**3.
-3*f**2*(f - 2)
Let c = 33 + -28. Suppose 2*h + c*b + 4 = 3*h, -4 = -h + b. What is g in -4/7*g**2 + 2/7*g**3 + 0*g + 6/7*g**h + 0 = 0?
-1, 0, 2/3
Let u = 15 - 10. Suppose b + 2*g = 8, -u*g = 2*b - 0*b - 18. Factor -44*z**2 + 36*z**b + 5*z + 3*z + 22*z + 8 - 2*z - 28*z**3.
4*(z - 1)**2*(z + 1)*(9*z + 2)
Suppose 4*t - 128 = -16. Suppose -2*y - t = -z + 3*y, -z = 4*y + 17. Factor -3*l**2 + 2*l**5 - 3*l**2 + l**3 + 4*l**2 + 2*l**4 - z*l**3.
2*l**2*(l - 1)*(l + 1)**2
Factor 4 + 3 + 41 - 60*m + m**2 + 11.
(m - 59)*(m - 1)
Let d(t) be the first derivative of t**6/51 - 42*t**5/17 + 1455*t**4/17 - 16220*t**3/51 + 465*t**2 - 306*t - 354. Factor d(n).
2*(n - 51)**2*(n - 1)**3/17
Let v(m) be the first derivative of 0*m**4 + 0*m + 2/21*m**3 + 5 - 1/140*m**5 + 1/2*m**2 + 1/840*m**6. Let j(o) be the second derivative of v(o). Factor j(f).
(f - 2)**2*(f + 1)/7
Suppose 4*u = 2*p - 40 - 46, 2*u + 117 = 3*p. Suppose -88*t**2 - 5*t**3 - 10*t**3 - 8 + 96*t**4 + 15*t - 36*t**5 + p*t - t**3 = 0. What is t?
-1, 1/3, 1, 2
Let u(w) be the third derivative of 5*w**8/336 + w**7/2 + 37*w**6/12 + 53*w**5/6 + 115*w**4/8 + 85*w**3/6 + 52*w**2. Solve u(v) = 0 for v.
-17, -1
Let g(w) be the second derivative of 2*w**6/15 + 17*w**5/5 + 26*w**4 + 64*w**3/3 - 256*w**2 + 161*w. Factor g(b).
4*(b - 1)*(b + 2)*(b + 8)**2
Factor 0*m + 3/7*m**2 - 27/7.
3*(m - 3)*(m + 3)/7
Let u = 107/35 + -20/7. Let i(z) be the first derivative of -u*z + 1/10*z**4 - 1/3*z**3 + 2/5*z**2 + 9. Solve i(t) = 0.
1/2, 1
Suppose 135*w - 276*w = -136*w. Let y(u) be the second derivative of w*u**2 - 1/6*u**3 - 1/24*u**4 - 3*u + 0. Factor y(z).
-z*(z + 2)/2
Let m be (665/(-120))/19*10/(-105). Let t(j) be the first derivative of 9 - m*j**6 + 0*j**3 + 1/12*j**4 + 0*j**5 - 1/12*j**2 + 0*j. Factor t(x).
-x*(x - 1)**2*(x + 1)**2/6
Suppose 0 = -0*q + q - 20. Let b = q - 4. Factor 0*y**2 - y**2 - 84*y - b + 76*y.
-(y + 4)**2
Let d(f) be the third derivative of -5*f**2 + 0*f**3 + 1/210*f**7 + 0*f**4 - 1/120*f**6 + 0*f + 1/336*f**8 + 0 - 1/60*f**5. Let d(u) = 0. Calculate u.
-1, 0, 1
Let x(f) = 10*f**5 - 5*f**2 + 15*f + 15. Let v be (24/(-16))/3*30*-1. Let d(i) = -i**5 - i**4 - i**3 - i - 1. Let r(g) = v*d(g) + x(g). Factor r(k).
-5*k**2*(k + 1)**3
Factor -16/5*b**2 + 2/5*b**3 + 2*b + 20.
2*(b - 5)**2*(b + 2)/5
Let y(t) be the second derivative of 0 - 1/48*t**4 - 1/2*t**2 - 32*t - 5/24*t**3. Factor y(s).
-(s + 1)*(s + 4)/4
Suppose -4*v - 97 + 447 = -5*f, 4*v - 3*f - 354 = 0. Suppose -14*a + 12*a + v = 0. Solve -195*h + 95*h**3 + 0*h**4 + 11*h**4 + a + 35*h**2 + 9*h**4 = 0.
-3, 1/4, 1
Suppose -2*d = 3*p - 24, -4*p + 3*d = -3*p + 3. Let b be 40/(-80) + (0 - (-13)/p). Factor 4/3 + b*l**2 - 8/3*l - 1/3*l**3.
-(l - 2)**2*(l - 1)/3
Let a(d) = d. Let u be 5/10*0*(-1)/(-2). Let t be a(u). Find s such that t - 7/3*s**4 + 2/3*s + 7/3*s**2 - 2*s**3 + 4/3*s**5 = 0.
-1, -1/4, 0, 1, 2
Suppose -c + 0*c = -5*c. Let v(a) be the second derivative of 1/4*a**2 + 1/24*a**3 + c - 1/80*a**5 + 7*a - 1/24*a**4. Solve v(j) = 0 for j.
-2, -1, 1
Determine u, given that 2/3*u**3 + 0*u**2 + 0 + 2/9*u**4 + 0*u = 0.
-3, 0
Let c(h) = 7*h**4 + 55*h**3 - 43*h**2 - 55*h + 36. Let o(t) = t**4 + 9*t**3 - 7*t**2 - 9*t + 6. Let g(a) = 6*c(a) - 39*o(a). Factor g(l).
3*(l - 6)*(l - 1)**2*(l + 1)
Let u(q) = 5*q**3 + 16*q**2 + 25*q - 37. Let m(b) = 8*b**3 + 33*b**2 + 49*b - 75. Let y(r) = -3*m(r) + 5*u(r). Factor y(w).
(w - 20)*(w - 1)*(w + 2)
Factor 3*u**2 - 1103*u + 507*u + 13068 + 992*u.
3*(u + 66)**2
Let a(n) be the third derivative of n**8/1008 + n**7/630 - n**6/360 - n**5/180 - n**2 - 4*n. Find x such that a(x) = 0.
-1, 0, 1
Let m(l) = 4*l**3 - 43*l**2 - 35*l + 89. Let p(z) = 3*z**3 - 21*z**2 - 18*z + 45. Let r(d) = -3*m(d) + 5*p(d). Let r(x) = 0. What is x?
-7, -2, 1
Let a(w) be the first derivative of -w**4/3 + 2*w**3/3 + 3*w + 15. Let o(p) be the first derivative of a(p). Factor o(b).
-4*b*(b - 1)
Let b(k) be the first derivative of 5 + 2/21*k**4 + 2/7*k**2 - 3/7*k**3 + 6*k. Let y(p) be the first derivative of b(p). Factor y(w).
2*(w - 2)*(4*w - 1)/7
Let s be ((-4)/(-8) + 1)*10. Suppose -5*a = -5*c - s, -c - 11 = a - 6*a. Factor -2*b**2 + 0*b - a*b + 4*b.
-2*b*(b - 1)
Factor 10*f**3 - f**4 - 33*f**2 + 44*f + 0*f**4 - 22 + 2.
-(f - 5)*(f - 2)**2*(f - 1)
Let g(o) be the second derivative of -1/22*o**4 + 0 + 34*o + 4/33*o**3 + 4/11*o**2. Factor g(b).
-2*(b - 2)*(3*b + 2)/11
Let v(i) be the second derivative of 1/20*i**5 - 17*i + 0*i**4 + 0*i**2 + 0 + 0*i**3. Let v(w) = 0. Calculate w.
0
Let n = -2330 + 2330. Solve n*i + 1/3*i**3 + 1/3*i**4 + 0 - 2/3*i**2 = 0 for i.
-2, 0, 1
Suppose -45 + 37*z**2 - 10*z**2 - 11*z**2 - 300*z - 31 = 0. Calculate z.
-1/4, 19
Suppose -40 = -84*n + 79*n. Suppose 11*w = n*w. Determine s, given that w + 0*s - s**2 + 2*s**3 - 3/4*s**4 = 0.
0, 2/3, 2
Find n such that -26/5*n**3 + 10*n**2 - 24/5*n + 0 = 0.
0, 12/13, 1
What is a in 56/5*a + 0 - 24/5*a**2 - 2/5*a**3 = 0?
-14, 0, 2
Let p(x) = 8*x**3 - 8*x**2 - 23*x + 50. Let r(y) = 2*y**3 - 2*y**2 - 6*y + 12. Let l(j) = -4*p(j) + 18*r(j). Determine q, given that l(q) = 0.
-2, 1, 2
Let n(h) be the second derivative of -h**6/75 + 54*h**5/25 - 1403*h**4/15 - 396*h**3 - 605*h**2 - 46*h + 4. Determine r, given that n(r) = 0.
-1, 55
Let j(s) be the second derivative of -s**7/14 + 2*s**6/5 + 3*s**5/4 + 70*s. Factor j(z).
-3*z**3*(z - 5)*(z + 1)
Let s(r) be the second derivative of r**4/60 - 2*r**3/5 + 18*r**2/5 - 85*r. Factor s(d).
(d - 6)**2/5
Let c be (26 - 23)/(6/4). Suppose -5*g = c*d - 19, -9 = g - 4*g. Factor -3 + 0*b**d - 3/2*b**3 + 9/2*b.
-3*(b - 1)**2*(b + 2)/2
Let y(c) = 12*c**4 - 9*c**3 - 57*c**2 + 81*c. Let f(s) = 11*s**4 - 8*s**3 - 57*s**2 + 82*s. Let o(m) = -9*f(m) + 8*y(m). Let o(k) = 0. What is k?
-5, 0, 2, 3
Let v(j) = -j**2 - 22*j + 2. Let d be v(-22). Factor 8*t**3 - 4*t**4 + 2*t**3 - 20*t**d + 8*t + 6*t**3.
-4*t*(t - 2)*(t - 1)**2
Factor -3/4*p + 7/8*p**2 - 1/8*p**3 + 0.
-p*(p - 6)*(p - 1)/8
Factor -1770*z**4 - 8*z**2 - 32*z**3 - 16 + 36*z + 1794*z**4 - z**5 - 3*z**5.
-4*(z - 4)*(z - 1)**3*(z + 1)
Let w be (-12)/33 - (-6480)/13464. Solve w*l**2 + 2/17*l + 0 = 0.
-1, 0
Suppo