be 132/198 - (-154)/147. Factor 0 + 3/7*m**2 + u*m - 12/7*m**3 - 3/7*m**4.
-3*m*(m - 1)*(m + 1)*(m + 4)/7
Let k(l) be the second derivative of -l**6/70 + 3*l**5/10 - 66*l - 2. Suppose k(d) = 0. What is d?
0, 14
Let o(s) be the third derivative of s**6/200 - 13*s**5/100 - s**4/40 + 13*s**3/10 - 687*s**2. Factor o(r).
3*(r - 13)*(r - 1)*(r + 1)/5
Let u(x) = 14*x**3 - 22*x**2 + 12*x + 4. Let y(p) = 14*p**3 - 22*p**2 + 11*p + 3. Let k(v) = -3*u(v) + 4*y(v). Factor k(m).
2*m*(m - 1)*(7*m - 4)
Let b(n) be the first derivative of n**5 + 5*n**4 + 5*n**3 - 60. Factor b(s).
5*s**2*(s + 1)*(s + 3)
Suppose -a + 2*z + 2 = 0, -a - 5*z + 8 + 1 = 0. Factor 9 + 3*q**5 - 29*q**3 + 5*q**3 - 33*q + q**4 + 6*q**3 - 4*q**a + 42*q**2.
3*(q - 1)**4*(q + 3)
Let a be (-4)/22 + 14022/17589. Suppose 4/13 - 8/13*d**4 - 2/13*d**5 + 4/13*d**2 - a*d**3 + 10/13*d = 0. Calculate d.
-2, -1, 1
Let s(m) be the second derivative of 8*m**7/105 + 16*m**6/75 - 107*m**5/25 - 221*m**4/15 + 592*m**3/15 - 32*m**2 - 41*m - 4. What is v in s(v) = 0?
-4, 1/2, 5
Suppose -13 = 3*v - 1. Let i = v + 6. Factor -1/3*z - 1/3*z**3 + 2/3*z**i + 0.
-z*(z - 1)**2/3
Let h = -28 - -32. Suppose -2*k + 1 + 1 = -z, 46 = 5*z + h*k. Find x such that -6*x - 2*x**3 + x**3 - x**3 - 2 + 0*x**3 - z*x**2 = 0.
-1
Let c(w) be the first derivative of 2*w**5/5 + 3*w**4/2 - 2*w**3 - 7*w**2 + 12*w - 8. Factor c(d).
2*(d - 1)**2*(d + 2)*(d + 3)
Factor -519115/4 - 33135/4*h - 705/4*h**2 - 5/4*h**3.
-5*(h + 47)**3/4
Let d(s) be the third derivative of -9*s**6/220 - 12*s**5/55 - 13*s**4/44 - 2*s**3/11 - 65*s**2. Factor d(t).
-6*(t + 2)*(3*t + 1)**2/11
Let t(r) be the first derivative of r**6/45 - 3*r**5/20 + r**4/6 - 2*r**3/3 + 13. Let a(c) be the third derivative of t(c). Find i such that a(i) = 0.
1/4, 2
What is n in 2/3*n**4 - 2/3*n**3 + 0 - 2/3*n**2 + 2/3*n = 0?
-1, 0, 1
Let o(h) = 29*h**2 + 688*h - 202. Let f(k) = -84*k**2 - 2063*k + 607. Let s(n) = -2*f(n) - 7*o(n). Factor s(r).
-5*(r + 20)*(7*r - 2)
Let l(c) be the second derivative of 0 - 12*c + 0*c**4 + 0*c**2 - 1/4*c**3 + 3/40*c**5. Factor l(s).
3*s*(s - 1)*(s + 1)/2
Let z(j) be the third derivative of -j**6/660 - 2*j**5/55 + j**4/132 + 4*j**3/11 - j**2 - 27*j. Determine f so that z(f) = 0.
-12, -1, 1
Factor 77*g**4 - 3*g**5 - 23*g**3 - 30*g**4 - 10*g**3 + 36*g - 24 - 29*g**4 + 6*g**2.
-3*(g - 2)**3*(g - 1)*(g + 1)
Let b(f) = -101*f - 705. Let g be b(-7). Factor 6 + 0*d - 3/2*d**g.
-3*(d - 2)*(d + 2)/2
Let f be (-71)/1988 + 13029/252. Determine s, given that -f*s**2 - 4 - 100/3*s**3 - 76/3*s = 0.
-3/4, -2/5
Let c(v) = v**3 - 6*v**2 + v. Let n be c(6). Let j(k) = k**3 - 11*k**2 + 31*k - 4. Let r be j(n). Factor 0 - 6*y + 3/2*y**r.
3*y*(y - 4)/2
Let v(j) = j**2 + 4*j - 6. Let i(k) = 4*k**2 + 22*k - 32. Let n(o) = -3*i(o) + 14*v(o). What is h in n(h) = 0?
2, 3
Let z(y) be the first derivative of 6*y**5/5 - 20*y**4 + 208*y**3/3 - 32*y**2 - 160*y + 445. Solve z(q) = 0.
-2/3, 2, 10
Determine g, given that 3/11*g**3 + 41/11*g**2 + 133/11*g - 49/11 = 0.
-7, 1/3
Let q(h) = -h**3 + 6*h**2 - 2*h + 14. Let k be q(6). Suppose -l = -3*r, 0 = -l - 0*r + r + k. Factor -1/2*t + 0 + t**2 - 1/2*t**l.
-t*(t - 1)**2/2
Let d be -1 + (1 + -1 - -37). Suppose -5*v + d = o, -3*o + 3 + 9 = 3*v. Let -h - 2*h**3 + 8*h**2 + 6*h**3 - 3*h + 0*h - v = 0. What is h?
-2, -1, 1
Let l = -916/35 - -133/5. Suppose -3*f = -0*f - y - 20, -f + 5*y = -30. Suppose 0*g + l*g**4 - 3/7*g**3 + 0 - 1/7*g**f + 1/7*g**2 = 0. What is g?
0, 1
Let g(l) be the third derivative of l**7/1575 + l**6/100 + l**5/18 + 3*l**4/20 + 2*l**3/9 - 22*l**2. Find d, given that g(d) = 0.
-5, -2, -1
Suppose 3*w = -4*p - 2, -p + 5*p + 8 = -2*w. Suppose -5*l = -4*f - 10, 4*l + 2*f = 3*l + 2. Factor 0 - 3*v**4 + 0*v + w - 9*v**3 + 9*v - 3*v**l.
-3*(v - 1)*(v + 1)**2*(v + 2)
Let p = -262 - -268. Let y(u) be the second derivative of u + 0 - 2/21*u**4 - 1/21*u**3 - 1/147*u**7 + 0*u**2 - 4/105*u**p - 3/35*u**5. What is z in y(z) = 0?
-1, 0
Let i(k) be the second derivative of -k**4/36 - 100*k**3/9 - 5000*k**2/3 - 2*k + 28. Let i(d) = 0. Calculate d.
-100
Let n be 1/5*1*(-3940)/(-591). Factor -n*l**2 - 13/3*l - 1.
-(l + 3)*(4*l + 1)/3
Let r(k) be the first derivative of k**5/10 + 5*k**4/8 - 2*k**3 - 20*k**2 - 32*k - 62. Determine v so that r(v) = 0.
-4, -1, 4
Suppose -h + 29 = 5*r, 4*h - 15 = -r + 6. Suppose 3*u - h = 8. Factor -6*m**2 - 6*m**3 - 7*m + u*m + 3*m**3.
-3*m*(m + 1)**2
Let z(k) = k**3 - k**2 - k + 1. Let b(h) = -4*h**3 + 3*h**2 + 4*h - 3. Let v(s) = -b(s) - 5*z(s). Factor v(w).
-(w - 2)*(w - 1)*(w + 1)
Let r(a) = a**2 + 15*a + 56. Let n be r(-9). Suppose n*x = -13*x. Let -i**2 + 0 - 4*i**3 - 5/4*i**5 - 17/4*i**4 + x*i = 0. What is i?
-2, -1, -2/5, 0
Let m be (2583/(-2418))/(-7) - 4/(-26). Let s = m + 6/31. Solve -1/4*k**2 + s*k - 1/4 = 0.
1
Suppose 0 = 7400*c - 7409*c + 27. Let y(x) be the first derivative of 8/3*x**c + 2*x**2 + 0*x + x**4 - 2. Find j, given that y(j) = 0.
-1, 0
Let n(r) be the first derivative of -2*r - 2/3*r**2 - 13 + 10/9*r**3. Factor n(g).
2*(g - 1)*(5*g + 3)/3
Let b be -1*((-7)/1)/(-7). Let q be b/(5 + 64/(-12)). Factor 9/4*z**4 - 3*z + 0 - 39/4*z**q + 10*z**2.
z*(z - 3)*(3*z - 2)**2/4
Factor -37125/2*r**4 + 16875/4*r**5 - 40 - 7660*r**2 + 940*r + 23850*r**3.
5*(r - 2)**2*(15*r - 2)**3/4
Find u, given that 10*u**3 + 8/5*u**4 - 12*u**2 - 26*u - 28/5 = 0.
-7, -1, -1/4, 2
Let l(j) be the first derivative of -3*j**5/5 - 9*j**4/4 + 6*j**2 - 7. Factor l(v).
-3*v*(v - 1)*(v + 2)**2
Let d(a) = -3*a - 109. Let p be d(-37). Find h such that -10/3*h**2 + 4/3 - p*h = 0.
-1, 2/5
Let t be 2 - 9/(-15) - (-3)/(-5). Let y = -3 - -6. What is u in y*u**2 + 18 - 18*u + 7 + t = 0?
3
Let g(n) be the first derivative of n**6/14 - 3*n**5/35 - 15*n**4/28 + 5*n**3/7 + 6*n**2/7 - 12*n/7 - 161. Let g(k) = 0. What is k?
-2, -1, 1, 2
Suppose 2*g + 0 = -2*b + 8, 2 = 4*b - 3*g. Let d be 42/9 - b/3. Let 2/3*f**3 + 2/9*f - 2/3*f**2 + 0 - 2/9*f**d = 0. What is f?
0, 1
Let y = -2/449 + 3614/4939. Suppose y*p**3 - 30/11*p**2 + 16/11*p + 6/11 = 0. What is p?
-1/4, 1, 3
Suppose 11 + 10 = 3*j. Factor 0*i**2 + 8*i**2 + j*i**3 - i - 3*i - 8 - 3*i**3.
4*(i - 1)*(i + 1)*(i + 2)
Let d be (1/(-13))/((-2)/8). Suppose 0 = -42*k + 69 + 15. What is o in -2/13*o + 0 + d*o**k - 2/13*o**3 = 0?
0, 1
Solve -12*m**2 - 4*m**2 - 25 - 12 + 5 + 2*m**3 + 40*m = 0 for m.
2, 4
Let x(n) be the second derivative of 143/30*n**6 - 213/40*n**5 + 2 - 121/84*n**7 + 0*n**2 - 3*n - 1/3*n**3 + 13/6*n**4. Determine v so that x(v) = 0.
0, 2/11, 1
Let u(y) = 5*y**2 - 336*y - 8. Let i(o) = 5*o**2 - 335*o - 10. Let l(x) = -4*i(x) + 5*u(x). Factor l(z).
5*z*(z - 68)
Let w(u) be the second derivative of 2/5*u**2 - 1/15*u**4 + 0*u**3 + 20*u + 0. Factor w(o).
-4*(o - 1)*(o + 1)/5
Let y(n) be the first derivative of -5*n**3/12 - 275*n**2/8 + 70*n + 19. Solve y(z) = 0.
-56, 1
Let d = -21 - -24. Let u = 29/9 - d. Find h, given that 2/9*h**3 + u*h + 0 - 4/9*h**2 = 0.
0, 1
Let p(w) = 3*w**3 + 3*w**2 - 45*w + 15. Let f(y) = -3*y**3 - 2*y**2 + 42*y - 17. Let b(k) = 6*f(k) + 5*p(k). Factor b(s).
-3*(s - 3)*(s - 1)*(s + 3)
Let d(g) = -7*g**2 - 174*g - 1449. Let c(r) = -120*r**2 - 2960*r - 24635. Let n(z) = 2*c(z) - 35*d(z). Factor n(b).
5*(b + 17)**2
Let b = 289 - 174. Suppose b = 5*k + 105. Factor -2/9*p**5 - 16/9*p**3 + 0*p + 10/9*p**4 + 0 + 8/9*p**k.
-2*p**2*(p - 2)**2*(p - 1)/9
Determine h, given that 0*h + 0 + 0*h**3 + 9/5*h**5 + 12/5*h**2 - 21/5*h**4 = 0.
-2/3, 0, 1, 2
Suppose 7*c + 4*c = 38*c + 6*c. Factor 20/7*u**4 + 4/7*u**5 + c*u + 32/7*u**3 + 16/7*u**2 + 0.
4*u**2*(u + 1)*(u + 2)**2/7
Let k be 5/(4 - 14)*(-1)/7. Let b(y) be the first derivative of 0*y**2 + 0*y + k*y**4 - 1/21*y**6 - 4 + 2/35*y**5 - 2/21*y**3. What is s in b(s) = 0?
-1, 0, 1
Factor -8/5*c + 6/5*c**2 + 3/5*c**3 - 1/5*c**4 + 0.
-c*(c - 4)*(c - 1)*(c + 2)/5
Let r = 3406/5 + -681. What is h in -1/5*h**2 + r*h + 2/5 = 0?
-1, 2
Let p(j) be the third derivative of j**5/120 + 19*j**4/8 + 1083*j**3/4 - 509*j**2. Factor p(i).
(i + 57)**2/2
Determine i, given that -3/7*i**2 + 24/7 + 22/7*i - 1/7*i**3 = 0.
-6, -1, 4
Let a(z) be the third derivative of -z**7/210 + 7*z**6/120 - 17*z**5/60 + 17*z**4/24 - z**3 + 7*z**2 - 1. Factor a(c).
-(c - 3)*(c - 2)*(c - 1)**2
Let c = 11/27 + -101/270. Let p(g) be the third derivative of 0*g + 