 u*l - 5. Determine q so that a(q) = 0.
-1
Let n be (-394)/(-260)*-2 - -3. Let b = 124/195 - n. Factor 0*u**2 + 0 - b*u + 2/3*u**3.
2*u*(u - 1)*(u + 1)/3
Let n = 708 + -704. Let b(z) be the third derivative of 0 - 1/420*z**6 + 0*z + 0*z**3 - 3/28*z**n + 1/35*z**5 + 9*z**2. Determine s so that b(s) = 0.
0, 3
Let m(a) be the second derivative of -a**6/15 + 7*a**5/5 - 3*a**4/2 - 108*a**3 - 167*a. What is c in m(c) = 0?
-4, 0, 9
Suppose -o + 55 = 3*k, 2*o + 78 = 4*k - 12. Suppose 10 = -5*v + k. Factor -3/7*l**3 + 3/7 - 9/7*l + 9/7*l**v.
-3*(l - 1)**3/7
Let n(d) be the third derivative of d**9/3780 - d**8/840 - 5*d**4/24 - 3*d**2. Let m(y) be the second derivative of n(y). Factor m(q).
4*q**3*(q - 2)
Let d(s) be the third derivative of -13/252*s**7 - 5/144*s**4 + 15*s**2 + 0*s**3 - 5/504*s**8 + 0*s + 0 - 7/72*s**5 - 5/48*s**6. Suppose d(a) = 0. Calculate a.
-1, -1/4, 0
Let w(q) be the second derivative of 5*q**4/12 - 75*q**3/2 - 115*q**2 + 552*q. What is y in w(y) = 0?
-1, 46
Let j(i) be the second derivative of 5*i**4/12 - 15*i**3/2 - 340*i**2 - 771*i. Factor j(b).
5*(b - 17)*(b + 8)
Let o be -3*5/(-2)*(35 - 29). Factor -o*r**3 - 5*r**5 - 190*r**2 + 0*r**5 + 4*r**4 + 170*r**2 - 34*r**4.
-5*r**2*(r + 1)**2*(r + 4)
Find a, given that -340/9*a**2 - 2/3*a**3 - 554/9*a - 220/9 = 0.
-55, -1, -2/3
Let q be (-68)/(-36) - 5/(-45). Suppose -5*a - u + 18 = -4*u, 13 = 5*a + q*u. Find o, given that 12*o**a - 10*o**2 - 4*o**5 + 2*o**2 + 0*o**2 = 0.
-2, 0, 1
Let p = -151 - -256. Factor 12*d**3 + 22*d**2 + 58*d**4 - p*d**4 + 12*d + 49*d**4.
2*d*(d + 1)*(d + 2)*(d + 3)
Let r(v) = -v**3 - 4*v**2 - v + 2. Let m(s) = -2*s**3 - 5*s**2 - s + 2. Suppose 4*b + 0*b - 24 = 0. Let d(w) = b*r(w) - 4*m(w). Factor d(q).
2*(q - 2)*(q - 1)*(q + 1)
Let a(c) be the second derivative of 0 + 3/100*c**5 + 0*c**3 - 1/20*c**4 + 0*c**2 + c. Factor a(k).
3*k**2*(k - 1)/5
Let m(t) = -16*t**2 + 108*t - 125. Let w(x) = 3*x**2 - 22*x + 25. Let d(v) = 4*m(v) + 22*w(v). Find p such that d(p) = 0.
1, 25
Suppose 0 = 5*i - 2*m - 20, -2*m - 2 = 4*i. Suppose -g = -2*o + g + i, 0 = o - 5*g + 3. Factor -3/4*r**o + 1/4*r**3 + 0*r + 1.
(r - 2)**2*(r + 1)/4
Suppose 0 = 30*j - 27*j - 15. Factor -j*d + 1 - 13*d**3 + 3*d**3 + d**5 + 10*d**2 - 2*d**5 + 10*d**4 - 5*d**4.
-(d - 1)**5
Let l(k) = -k**3 + k**2 - 7*k + 7. Let b(h) = -h**3 + 2*h**2 - 7*h + 6. Let w(o) = 4*b(o) - 3*l(o). Factor w(r).
-(r - 3)*(r - 1)**2
Let q(o) be the first derivative of -4*o**3 + 344 - 3*o - 332 + 19*o + o**4. Let q(v) = 0. Calculate v.
-1, 2
Let g = -481 + 484. Let c(k) be the first derivative of -2/21*k**g - 4/7*k**2 - 8/7*k + 2. Solve c(b) = 0 for b.
-2
Let z be 7/((-35)/(-4))*30. Solve -49*j - 3*j + 8*j - z + 4*j**3 - 16*j**2 = 0.
-1, 6
Let b(p) = -p**4 + p**3. Let c(y) = 5*y**5 - 15*y**4 + 21*y**3 - 14*y**2 + 3*y. Let j(n) = 6*b(n) + 2*c(n). Factor j(f).
2*f*(f - 1)**3*(5*f - 3)
Let a(q) = -q**2 - 1. Let y(m) be the second derivative of -5*m**4/12 + 5*m**3/6 - 15*m**2 + 22*m. Let l(j) = -20*a(j) + y(j). Factor l(o).
5*(o + 1)*(3*o - 2)
Let s(p) be the first derivative of 42 - 2*p**2 + 8*p - 4/3*p**3. Factor s(z).
-4*(z - 1)*(z + 2)
Determine o so that 20/13*o**3 - 14/13*o**4 + 4/13*o**2 - 22/13*o + 2/13*o**5 + 10/13 = 0.
-1, 1, 5
Let o be (4 - (-18)/2) + -6. Let n(m) be the third derivative of 0*m + 0*m**4 + 1/180*m**5 + 0 - o*m**2 + 1/360*m**6 + 0*m**3. Factor n(r).
r**2*(r + 1)/3
Let g(n) = 7*n**2 + 13*n + 16. Suppose 6*p = 132 - 12. Let o(w) = -48*w**2 - 92*w - 112. Let u(t) = p*g(t) + 3*o(t). Factor u(d).
-4*(d + 2)**2
Factor 32*u + 36*u + 33*u**2 - 24*u**2 - 13*u**2.
-4*u*(u - 17)
Let t(s) = -5*s**2 + 19*s - 20. Let q be (3 - -3 - 0) + -1. Let d(n) = n - q + 10 - 5. Let z(b) = -6*d(b) - t(b). Let z(m) = 0. Calculate m.
1, 4
Suppose -n + 5*n = -3*f + 61, -5*f - 4*n = -99. Solve 600*m + 100*m**4 + 195*m**2 + 280*m**3 - f*m**2 - 568*m = 0 for m.
-2, -2/5, 0
Let g(j) = -j**3 + j**2 - j. Let x(p) = 9*p**3 - 9*p**2 - 9*p - 9. Let i(v) = 6*g(v) + x(v). Find t such that i(t) = 0.
-1, 3
Let n(r) be the second derivative of 1/2*r**3 + 0 + 0*r**2 - 1/14*r**7 + 0*r**5 + 1/5*r**6 - 12*r - 1/2*r**4. Solve n(b) = 0.
-1, 0, 1
Let m(o) be the first derivative of -40*o**6/3 - 104*o**5 + 315*o**4/4 + 250*o**3/3 + 35*o**2/2 - 491. Determine c, given that m(c) = 0.
-7, -1/4, 0, 1
Let a(i) = -i**2 - 7*i + 22. Let g(s) be the first derivative of -2*s + 20. Let q(d) = 2*a(d) + 22*g(d). Factor q(x).
-2*x*(x + 7)
Find l such that 3*l**5 + 8*l**2 - 72*l**3 + 8*l - 5*l**5 + 66*l**3 - 8*l**4 = 0.
-2, -1, 0, 1
Let m(f) be the second derivative of -f**5/10 + 13*f**4/6 - 35*f**3/3 - 49*f**2 - 48*f - 2. Solve m(b) = 0 for b.
-1, 7
Let u(q) be the first derivative of 1/7*q**2 + 4/21*q**3 - 10 - 4/35*q**5 - 1/21*q**6 + 0*q**4 + 0*q. Factor u(f).
-2*f*(f - 1)*(f + 1)**3/7
Let d(j) be the first derivative of -j**7/42 - 2*j**6/15 - 3*j**5/10 - j**4/3 - j**3/6 + 2*j - 16. Let g(z) be the first derivative of d(z). Factor g(h).
-h*(h + 1)**4
Let z(x) = -27*x**3 + 35*x**2 - 77*x + 14. Let v(w) = 5*w**3 - 7*w**2 + 15*w - 3. Let b(m) = -22*v(m) - 4*z(m). Let b(f) = 0. Calculate f.
1, 5
Let x = -31 - -52. Determine d, given that -32*d**3 - x*d**3 - 11*d**3 + 68*d**2 + 24*d - 28*d**4 = 0.
-3, -2/7, 0, 1
Suppose -3*w = 4*b - b - 141, 0 = 3*b + 2*w - 140. Let d = 46 - b. Let 0 + d*o**2 + 0*o - 2/7*o**3 + 1/7*o**4 = 0. Calculate o.
0, 2
Let z(k) = 4*k - 830*k**3 - 15*k**2 + 20 + 838*k**3 + 3*k**2. Let r(a) = -7*a**3 + 13*a**2 - 4*a - 21. Let i(g) = -4*r(g) - 3*z(g). Factor i(t).
4*(t - 3)*(t - 2)*(t + 1)
Factor 19/10*z + 0 + 9/5*z**2 - 1/10*z**3.
-z*(z - 19)*(z + 1)/10
Let p(c) = 11*c**4 - 12*c**3 + 12*c - 1. Let i(u) = 18*u + 16*u**4 - 7*u**3 - 11*u**3 - 3 + 1. Let k(l) = -5*i(l) + 7*p(l). Factor k(j).
-3*(j - 1)**3*(j + 1)
Suppose 2*i = i. Let r be (-1*(-8)/14)/((-117)/(22113/(-270))). Factor i*b + 2/5 - r*b**2.
-2*(b - 1)*(b + 1)/5
Let q(h) be the first derivative of -h**6/18 + 4*h**5/15 + h**4/12 - 4*h**3/9 - 55. Find l, given that q(l) = 0.
-1, 0, 1, 4
Let d be (-18)/3 - (85/(-25) + -3). Factor 4/5*h - 2/5 - d*h**2.
-2*(h - 1)**2/5
Suppose -c - f - 11 = -2*c, 2*c = 5*f + 16. Let a = c - 11. Suppose -96*g**a - 20*g + 4*g - 23*g**4 - 180*g**3 - 77*g**4 = 0. Calculate g.
-1, -2/5, 0
Let m(g) be the third derivative of -3*g**2 + 0 + 0*g**3 - 1/15*g**5 + 0*g - 1/3*g**4. Solve m(z) = 0.
-2, 0
Let h be (2/(-4)*-2)/(34/136). Factor -8*c**4 + 10*c**2 - 12*c**4 + 4*c + 2*c**3 + 20*c**4 - 4*c**h.
-2*c*(c - 2)*(c + 1)*(2*c + 1)
Let p(v) = -v**2 - 12*v. Let c(x) = -5*x**2 - 49*x - 1. Let n(k) = -2*c(k) + 9*p(k). Let h be n(10). Factor h*u**3 - 2*u**3 + 2*u**5 + 2*u**4 - 4*u**5.
-2*u**4*(u - 1)
Factor -11/3*k - 1/3*k**2 - 6.
-(k + 2)*(k + 9)/3
Let c(y) = 32*y**4 - 107*y**3 - 103*y**2 + 73*y + 71. Let x(t) = 11*t**4 - 36*t**3 - 34*t**2 + 24*t + 23. Let h(i) = -6*c(i) + 17*x(i). Factor h(p).
-5*(p - 7)*(p - 1)*(p + 1)**2
Suppose -141 = 5*j - 166. Let k(b) be the second derivative of 1/120*b**j - 2*b + 1/24*b**4 + 0*b**2 + 0 + 1/18*b**3. Solve k(z) = 0 for z.
-2, -1, 0
Let d(k) be the third derivative of 0*k + 3/70*k**7 + 17/30*k**5 + 5/6*k**3 - 9*k**2 - 13/60*k**6 - 7/8*k**4 - 1/336*k**8 + 0. Factor d(s).
-(s - 5)*(s - 1)**4
Let m(x) be the first derivative of -1/5*x**5 + 12 + 0*x + 1/3*x**3 + 1/4*x**4 - 1/2*x**2. Factor m(g).
-g*(g - 1)**2*(g + 1)
Let c be (1704/(-1065))/(8/(-10)). Solve -2/3*w - 4/9 + 2/3*w**3 + 2/9*w**4 + 2/9*w**c = 0 for w.
-2, -1, 1
Let x(w) = -60*w**3 - 5394*w**2 + 2121*w + 21. Let s(v) = 15*v**3 + 1349*v**2 - 531*v - 5. Let a(c) = 21*s(c) + 5*x(c). What is g in a(g) = 0?
-91, 0, 2/5
Let v(b) be the second derivative of -9*b**5/70 - b**4/28 + 238*b. Suppose v(u) = 0. What is u?
-1/6, 0
Determine l, given that -12 + 15/2*l**2 - 9/2*l = 0.
-1, 8/5
Let 2/5*m**4 - 6/5*m**3 + 16/5*m - 12/5*m**2 + 0 = 0. What is m?
-2, 0, 1, 4
Suppose 4*s = -2*g + g + 5, 4*s = 5*g - 25. Suppose g*i - 13 = 7. Factor -14/9*q**3 - 4/9*q**2 + 0 - 8/9*q**i + 2/9*q.
-2*q*(q + 1)**2*(4*q - 1)/9
Let q = -77 - -79. Suppose 4*p - 4 = 3*b + 6*p, -q*p = b + 4. Suppose b + 1/3*j**2 + 0*j**3 - 1/3*j**4 + 0*j = 0. Calculate j.
-1, 0, 1
Factor -10/9*t**4 - 2/3*t**2 + 0 - 2/9*t**5 + 0*t - 14/9*t**3.
-2*t**2*(t + 1)**2*(t + 3)/9
Let l(j) be the second derivative of -2*j**6/15 + j**5/2 + 83*j