2*b = -6*u + 19. Suppose -3*i + u = -5*j, 0*j - 2*j = -i + 2. Factor 0 + 4*f**4 - 8/7*f**3 + i*f - 20/7*f**5 + 0*f**2.
-4*f**3*(f - 1)*(5*f - 2)/7
Let f = 5044/3 + -1681. Let k(q) be the first derivative of 2/3*q**2 + 5 - 8/3*q + 8/9*q**3 - f*q**4. Determine r so that k(r) = 0.
-1, 1, 2
Let n(u) be the second derivative of -u**5/20 + 5*u**4/6 - 7*u**3/2 + 3425*u. Let n(v) = 0. Calculate v.
0, 3, 7
Let b(f) be the second derivative of -f**9/15120 - f**8/2100 + f**7/840 + f**3/6 - f**2/2 - 140*f. Let i(u) be the second derivative of b(u). Factor i(h).
-h**3*(h - 1)*(h + 5)/5
Let q(p) = -20*p**5 + 93*p**4 + 339*p**3 + 342*p**2 + 7*p + 7. Let i(y) = 3*y**5 - y**4 - y**3 - 2*y**2 - y - 1. Let o(m) = -7*i(m) - q(m). Factor o(k).
-k**2*(k + 2)**2*(k + 82)
Let q(h) be the third derivative of -5*h**8/252 - 86*h**7/315 - 17*h**6/15 - 32*h**5/45 + 16*h**4/9 - h**2 - 2484. Suppose q(u) = 0. What is u?
-4, -1, 0, 2/5
Let k = -8 - -33. Let -25*o**2 + 6*o**4 + k*o**3 + 20 + 26*o - 46*o - 5*o**5 - o**4 = 0. Calculate o.
-2, -1, 1, 2
Let h(d) be the second derivative of 0*d**4 + 3 + 9*d + 0*d**2 + 3/80*d**5 - 1/6*d**3 + 1/120*d**6. Solve h(a) = 0.
-2, 0, 1
Let 0 + 0*z - 15/2*z**4 + 1/4*z**5 - 39/2*z**2 + 107/4*z**3 = 0. Calculate z.
0, 1, 3, 26
Let z = 2810 - 109588/39. Let k(i) be the first derivative of -1/13*i**4 + 2/13*i**2 - 9 - 2/13*i + z*i**3. Find b, given that k(b) = 0.
-1, 1/2, 1
Let m be (-21)/4*40/375. Let z = m + 92/75. Find l, given that -32/3*l - 8 - z*l**3 - 14/3*l**2 = 0.
-3, -2
Let z(s) be the third derivative of -s**2 + 20/3*s**3 + 0 + 8*s + 6*s**4 + 7/30*s**5. Factor z(w).
2*(w + 10)*(7*w + 2)
Let w = 1241752/689865 + 1/137973. Factor 0 + 2/5*h + 4/5*h**3 + w*h**2.
h*(h + 2)*(4*h + 1)/5
Let d(h) be the first derivative of -10/3*h**2 + 16/9*h + 2/9*h**4 - 6 - 2/3*h**3. Factor d(i).
2*(i - 4)*(i + 2)*(4*i - 1)/9
Let -16*z**3 - 1946121 - 3*z**4 - 608*z + 1946633 + z**4 + 216*z**2 = 0. What is z?
-16, 2, 4
Let y(x) be the third derivative of 0 - 1/120*x**7 - 1/8*x**3 - 11/120*x**5 + 3*x**2 + 13/96*x**4 + 1/1344*x**8 + 3/80*x**6 - 6*x. Factor y(n).
(n - 3)*(n - 1)**4/4
Let r(b) = -b**5 + b**4 - 1. Let m(z) = 3*z**5 + 4*z**4 + 43*z**3 - 110*z**2 + 4. Let j(s) = -3*m(s) - 12*r(s). Suppose j(g) = 0. What is g?
-5, 0, 2, 11
Let h = 133772/21 - 6364. Let l(s) be the first derivative of 0*s + 1/21*s**6 + 24/7*s**4 + 19 + 0*s**2 - h*s**3 + 6/7*s**5. Factor l(k).
2*k**2*(k - 1)*(k + 8)**2/7
Let b = 4 - 2. Suppose n + 23 = b*t, 2 = n + 5. Factor 5*l**5 - 2 + 2 - l - 4*l - t*l**4 + 10*l**2.
5*l*(l - 1)**3*(l + 1)
Let a(k) = 4*k**4 - 7*k**3 + 2*k**2 + k - 3. Let r be (-2)/(3 + 15/(-6)) + 8. Let t(b) = -5*b**4 + 8*b**3 - 2*b**2 + 3. Let n(v) = r*a(v) + 3*t(v). Factor n(h).
(h - 3)*(h - 1)**2*(h + 1)
Factor -992/7 - 78/7*d**2 - 2/7*d**3 - 528/7*d.
-2*(d + 4)**2*(d + 31)/7
Let r(q) be the third derivative of -1/50*q**6 + 0 + 0*q**7 + 0*q**3 + 0*q**4 + 1/420*q**8 - 282*q**2 + 2/75*q**5 + 0*q. Determine m so that r(m) = 0.
-2, 0, 1
Let w be 2/15 - 43/(-45)*3. Determine b, given that -2*b + 433*b**4 + 3*b**3 - 2*b**2 + 0*b**2 - 431*b**4 - b**w = 0.
-1, 0, 1
Suppose 0 = -2*k + 15*k - 26. Let a be 22/(-2) - -6 - -12 - 4. Determine u so that 0*u - 2/7*u**a + 8/7 - 6/7*u**k = 0.
-2, 1
Let q(g) = -8*g - 38. Let w be q(-6). Suppose -16*a - 22*a + 55*a - 3*a**2 - 42 + w*a = 0. What is a?
2, 7
Let j(o) be the second derivative of -12/65*o**5 - 6/13*o**2 - 23/39*o**3 - 1 - 2*o - 8/195*o**6 - 1/273*o**7 - 17/39*o**4. Suppose j(m) = 0. What is m?
-3, -2, -1
Suppose 25 - 11 = 7*c. Let -4*z**3 - 197*z**2 + 217*z**c - 24*z + 0*z = 0. Calculate z.
0, 2, 3
Suppose -5*d - 4*q + 12 = 0, 132*d - 3*q + 9 = 133*d. Determine r so that 0 - 3/7*r**3 + d*r**2 + 3/7*r = 0.
-1, 0, 1
Suppose 341*b - 860 = 126*b. Determine i so that 44/3*i**2 + 4*i + 25/3*i**3 + 0 + i**b = 0.
-6, -2, -1/3, 0
Let n(a) be the third derivative of -a**6/18 + 35*a**5/12 - 1429*a**2 + 2*a. Factor n(i).
-5*i**2*(4*i - 105)/3
Let p = -215 + 285. Let l be 2/(-5) + 2/p*34. Factor -8/7 + 2*x + l*x**2.
2*(x + 4)*(2*x - 1)/7
Let s = 7247/24290 - -4/2429. Let d(w) be the first derivative of 3/4*w**2 - s*w**5 + 0*w - 3/8*w**4 + 1/2*w**3 - 21. Factor d(a).
-3*a*(a - 1)*(a + 1)**2/2
Suppose a + 34 = 2*a + 3*t, 5*a + 5*t = 120. Let i be 0/a - (-4)/(2/2). Factor -s**i - 5*s**2 + 5*s**2 + 2*s**2 - 1.
-(s - 1)**2*(s + 1)**2
Suppose 2*o = -4*q + 38 + 30, q + 68 = 2*o. Let y = -29 + o. Factor f + y*f**2 + f - 4*f**2 - f.
f*(f + 1)
Factor -162*z - 17*z**4 - 27 + 82*z**3 + 95*z**2 + 114*z**2 - 245*z**2.
-(z - 3)**2*(z + 1)*(17*z + 3)
Let h = 50 - 44. Let j(q) = 7 - 3 - h*q - 25*q**3 + 3 + 24*q**2. Let t(g) = 13*g**3 - 12*g**2 + 3*g - 4. Let f(x) = 6*j(x) + 11*t(x). Factor f(n).
-(n - 1)**2*(7*n + 2)
Suppose -22 = -410*k + 399*k. Suppose -3/4*x**3 - 3/4*x**4 + 0*x**k + 0 + 0*x = 0. Calculate x.
-1, 0
Let m(o) be the third derivative of o**5/20 - 35*o**4/8 + 33*o**3 - 33*o**2 - 2. Factor m(j).
3*(j - 33)*(j - 2)
Let f(c) be the third derivative of c**5/15 - c**4/2 - 20*c**3/3 - 912*c**2. Factor f(g).
4*(g - 5)*(g + 2)
Let d be 73702/(-1634) - -45 - (-348)/418. Factor -2/11*p**3 - 8/11*p**2 - d*p + 0.
-2*p*(p + 2)**2/11
Let v(w) be the first derivative of w**4/6 - 14*w**3/9 + 4*w**2 + 1120. Factor v(z).
2*z*(z - 4)*(z - 3)/3
Let q(t) be the third derivative of t**8/672 + 2*t**7/105 - t**6/120 - 13*t**5/30 + 73*t**4/48 - 7*t**3/3 - 419*t**2 - 1. Factor q(r).
(r - 1)**3*(r + 4)*(r + 7)/2
Let f(i) be the third derivative of i**6/200 - 269*i**5/75 + 96839*i**4/120 - 32041*i**3/15 + 32*i**2 - i. Factor f(l).
(l - 179)**2*(3*l - 2)/5
Let k(a) be the first derivative of -a**6/360 - a**5/120 + a**4/4 - a**3/3 + 7*a**2 + 11. Let z(f) be the third derivative of k(f). Find l, given that z(l) = 0.
-3, 2
Let b(z) be the third derivative of -z**8/336 - z**7/10 - 11*z**6/12 - 7*z**5/6 + 37*z**4/8 + 91*z**3/6 - 2164*z**2. Suppose b(a) = 0. Calculate a.
-13, -7, -1, 1
Let z = 42249/10 + -21123/5. Factor 1/10*f**3 - z*f**2 + 3/10*f - 1/10.
(f - 1)**3/10
Let u(i) = 2*i**5 + 6*i**4 - 2*i**3 - 18*i**2 + 11*i - 1. Let m(k) = -k**5 - k**4 + k**3 + k**2 + k + 1. Let v(d) = -2*m(d) - 2*u(d). Solve v(g) = 0.
-4, -3, 0, 1
Let h(f) = 2*f**2 - 2*f + 2. Let d(y) = y**3 + 2*y**2 - 15*y + 1. Let r be d(-5). Let k(n) = -14*n**2 - 2*n + 20. Let t(v) = r*k(v) + 8*h(v). Factor t(b).
2*(b - 6)*(b - 3)
Suppose 0 = -27*z + 31*z - 16. Let m = 1847 + -5485/3. Solve 38/3*q**3 - m*q + 4*q**2 - 16/3 - 14/3*q**z = 0 for q.
-1, -2/7, 2
Let w(i) be the third derivative of 103*i**2 + 1/10*i**6 - 4/3*i**4 + 8*i**3 + 1/84*i**8 + 2/21*i**7 + 0*i + 0 - 13/15*i**5. Determine y so that w(y) = 0.
-3, -2, 1
Let j(l) be the second derivative of 0*l**2 + 1/2*l**3 + 1/27*l**4 + 1/1620*l**6 + 1/135*l**5 + 8*l + 0. Let f(x) be the second derivative of j(x). Factor f(c).
2*(c + 2)**2/9
Let g(q) be the first derivative of -3*q**4/14 + 27*q**3/7 - 18*q**2/7 - 39*q/7 - 5113. Solve g(x) = 0 for x.
-1/2, 1, 13
Let k(i) be the third derivative of i**6/360 + 17*i**5/60 + 11*i**4/8 + 49*i**3/18 - 15*i**2 + 9. Determine j so that k(j) = 0.
-49, -1
Let i be -9 - -1 - (-75)/(-30)*-4. Let q(o) be the first derivative of 18*o - 5 + 2/3*o**3 - 6*o**i. Let q(x) = 0. Calculate x.
3
Let b be ((-22)/(-10))/(6116/1112). What is j in 0 - 8/5*j**2 + 16/5*j - 12/5*j**3 + b*j**5 + 2/5*j**4 = 0?
-2, 0, 1, 2
Let j(d) = -2344*d**2 - 4652*d - 18. Let m(f) = 7036*f**2 + 13956*f + 56. Let n(w) = -16*j(w) - 5*m(w). Suppose n(t) = 0. What is t?
-2, -1/581
Let g(f) = -2*f**3 - 3*f**2 - 6*f - 7. Let d be g(5). Let j = d + 366. Factor 0*z**j - 1/2*z - 1/3*z**2 + 2/3*z**3 - 1/6*z**5 + 1/3.
-(z - 1)**3*(z + 1)*(z + 2)/6
Let n = -8/4105 + 330/821. Factor 10*z + n*z**2 - 52/5.
2*(z - 1)*(z + 26)/5
Let k(z) be the third derivative of -z**5/45 + 119*z**4/3 - 28322*z**3 + 3325*z**2. Factor k(w).
-4*(w - 357)**2/3
Let n(j) = 2*j + 40. Let f be n(-17). Let s be (9/(-6) - -2)*f. Factor -3*k**2 + k**s - 3*k**2 - k + 7*k**2 - k**4.
-k*(k - 1)**2*(k + 1)
Let r(s) be the second derivative of s**9/10584 - s**8/1960 + s**6/315 + s**3/2 + s**2/2 + 28*s. Let o(n) be the second derivative of r(n). Factor o(p).
2*p**2*(p - 2)**2*(p + 1)/7
Factor 3457*s**2 - 73*s - 3460*s**2 + 1213*s - 108300.
-3*(s - 190)**2
Factor -4219*w + 3185*w - 217 - 719