
-1/4, 0, 1
Let d(f) = -f**2 - 9*f - 26. Let k(z) = -z**2 + 1. Let c(v) = d(v) - 4*k(v). Let c(y) = 0. Calculate y.
-2, 5
Determine b, given that -144/7*b - 48/7*b**3 - 132/7*b**2 - 6/7*b**4 - 54/7 = 0.
-3, -1
Let h(d) = -d**2 + 7*d + 252. Let l be h(0). Let j be 267/l*2 + 2/12. Let -16/7*t**3 + j*t - 10/7*t**4 - 8/7 + 18/7*t**2 = 0. Calculate t.
-2, -1, 2/5, 1
Let o(c) = -c**3 - 9*c**2 - 12*c + 17. Suppose 23*d = 15*d - 56. Let j be o(d). Factor 6/5*i**j + 3/5 - 9/5*i + 3/5*i**5 - 9/5*i**4 + 6/5*i**2.
3*(i - 1)**4*(i + 1)/5
Let b(i) be the third derivative of 0 + 0*i + 1/10*i**7 - 8*i**2 - 3/40*i**6 - 3/112*i**8 + 1/4*i**4 - 3/20*i**5 + 0*i**3. Suppose b(v) = 0. What is v?
-2/3, 0, 1
Factor 0 + 21/5*l + 12/5*l**2.
3*l*(4*l + 7)/5
Let h be ((-1)/15)/((-5)/(-65)) - -1. Let y(b) be the second derivative of -3/100*b**5 + 0 - 8*b + 1/6*b**3 + h*b**4 - 3/5*b**2. Solve y(q) = 0 for q.
-1, 2/3, 3
Let b(l) = -l**3 + 49*l**2 - 50*l + 101. Let w be b(48). Let c(x) be the second derivative of 0*x**2 - 1/60*x**4 + 0 - w*x - 1/10*x**3. Solve c(i) = 0.
-3, 0
Let t be 5/11*((-57)/5 - -5). Let u = t + 140/33. Factor u*c**2 + 0*c + 2/3*c**3 + 0.
2*c**2*(c + 2)/3
What is m in 8/9 - 10/9*m + 2/9*m**2 = 0?
1, 4
Factor 5/2*i**2 - 15/2 + 5*i.
5*(i - 1)*(i + 3)/2
Let x(u) be the third derivative of -u**6/270 + 19*u**4/54 + 20*u**3/9 - 2*u**2 + 67. Factor x(a).
-4*(a - 5)*(a + 2)*(a + 3)/9
Let l be (-17)/(-3) + 369/(-123). Factor -l*q - 2/3*q**2 + 10/3.
-2*(q - 1)*(q + 5)/3
Let q(b) = b**2 - 5*b + 9. Let g be q(6). Let w(p) = -2*p**3 + 5*p**2 + 7*p. Let n(h) = -h**3 - 1. Let o(a) = g*n(a) - 5*w(a). Find z such that o(z) = 0.
-3, -1
Factor 0 - 2*d**3 - 61/2*d**2 - 15/2*d.
-d*(d + 15)*(4*d + 1)/2
Factor -2/5*a**2 - 1/5*a**3 + 2/5 + 1/5*a.
-(a - 1)*(a + 1)*(a + 2)/5
Let j(s) = 2*s**2 - 37*s - 1. Let k be j(11). Let y = k - -172. Factor 0 + 3/2*a**4 + 6*a**2 - y*a**3 + 0*a.
3*a**2*(a - 2)**2/2
Let z(w) be the second derivative of 2/35*w**5 + 0*w**2 + 0 - 23*w + 0*w**4 + 0*w**6 - 2/147*w**7 - 2/21*w**3. Factor z(k).
-4*k*(k - 1)**2*(k + 1)**2/7
Let x(j) be the second derivative of 10*j**2 + 0 - 5/3*j**3 - j + 5/48*j**4. Factor x(i).
5*(i - 4)**2/4
Let h be -2 + 12 + -5 + -1 + 2. Suppose 4*s - 4*a = h*s - 8, a = -s + 2. Determine y so that s - 2/7*y**2 - 4/7*y = 0.
-2, 0
Let p(u) be the third derivative of -u**8/420 - u**7/175 + u**6/150 + 2*u**5/75 - u**3/15 - 424*u**2. Solve p(q) = 0 for q.
-1, 1/2, 1
Let u be (-2)/13 - 171/(-13). Let f = -11 + u. Find h such that 5*h + h + h**f - 4*h = 0.
-2, 0
Factor -10*p + 39*p + 77*p**3 - 13*p + 63*p**3 - 144*p**2 - 12*p.
4*p*(p - 1)*(35*p - 1)
Let r(y) = 3*y. Let a(t) = 5*t**2 + 162*t. Let l(q) = a(q) + r(q). Let l(f) = 0. Calculate f.
-33, 0
Let j be (9/6)/(2/24). Suppose 0 = -a - 5*l - j, -4*a + 4 = -l + 2*l. Suppose -14 + 14 - a*c**2 = 0. Calculate c.
0
Let l(y) be the third derivative of y**2 + 4/5*y**6 + 1/21*y**5 + 32/147*y**7 - 4/7*y**4 - 8/21*y**3 + 18 + 0*y. Suppose l(n) = 0. What is n?
-2, -1/4, 2/5
Suppose -3*g = -f + 20, 0 = -f - 4*g - 18 + 3. Factor 1/6*h**f - 4/3*h**3 + 16/3 - 8/3*h**2 + 1/3*h**4 + 8/3*h.
(h - 2)**2*(h + 2)**3/6
Let t(h) = 7*h**4 + 12*h**3 + 6*h**2 + 4*h + 3. Let k(u) = u**4 + u**3 + u**2 + u. Let w(n) = 40*k(n) - 5*t(n). Factor w(i).
5*(i - 3)*(i - 1)**2*(i + 1)
Let c(w) = 9*w**2 + 20*w - 29. Let z(u) = -5*u**2 - 10*u + 15. Let v(h) = 4*c(h) + 7*z(h). Let q be v(-11). Factor q - 2/3*y**2 - 2/3*y.
-2*y*(y + 1)/3
Find n, given that -25/3*n**4 + 20/3*n + 5 - 20*n**3 - 10*n**2 = 0.
-1, 3/5
Let d(v) be the third derivative of v**6/320 - 3*v**5/80 + 2*v**3 + 155*v**2. Solve d(q) = 0.
-2, 4
Let h = 19928 + -19926. Factor 2/11*p**h + 12/11*p + 0.
2*p*(p + 6)/11
Solve 129/5*l**3 - 108*l**5 - 24*l**2 + 1044/5*l**4 + 0 + 12/5*l = 0 for l.
-2/5, 0, 1/6, 2
Let s be (2/(-6))/((-60)/900). Let f(g) be the first derivative of -11 - 15/2*g**2 + s*g - 20/3*g**3. Suppose f(o) = 0. Calculate o.
-1, 1/4
Let f(a) = a**3 + 77*a**2 + 69*a - 532. Let h be f(-76). Solve h + 2/3*o**4 - 2/3*o**2 - 2/3*o + 2/3*o**3 = 0 for o.
-1, 0, 1
Let a(p) be the third derivative of -8/3*p**3 + 12*p**2 - 1/3*p**4 + 0 - 1/60*p**5 + 0*p. Find q, given that a(q) = 0.
-4
Let m(q) be the third derivative of -q**6/180 - 4*q**5/45 + 37*q**4/36 + 44*q**3/9 - 514*q**2. What is p in m(p) = 0?
-11, -1, 4
Factor 6/11*v**3 - 10/11 + 18/11*v + 34/11*v**2.
2*(v + 1)*(v + 5)*(3*v - 1)/11
Let f = 12721 + -12719. Factor -4/7 - 22/7*g**3 - f*g + 40/7*g**2.
-2*(g - 1)**2*(11*g + 2)/7
Let u = 2/11 + -1/66. Let m = -3354 - -3357. Factor 5/6*k**m - 3/2*k**2 - u*k**4 - 1/3 + 7/6*k.
-(k - 2)*(k - 1)**3/6
Let c(d) be the third derivative of -d**6/720 - d**5/180 + 13*d**4/144 - 5*d**3/18 + 3*d**2 - 53*d. Find l such that c(l) = 0.
-5, 1, 2
Let y(z) = -z**3 + 14*z**2 - 12*z + 1. Let o be y(13). Let m be (6/10)/(o/70). Factor -1/2*k**m + 0*k + 0 + 1/2*k**2.
-k**2*(k - 1)/2
Let m(n) be the third derivative of -n**5/360 + n**4/8 - 17*n**3/36 + n**2 - 9. What is u in m(u) = 0?
1, 17
Let t be (6*1)/(54/144). Let v = t - 14. Factor 2*i**4 + 7*i**2 - 7*i**2 - 2*i**5 + 0*i**v.
-2*i**4*(i - 1)
Let w(j) be the second derivative of -3/2*j**4 + 25*j**2 + 0 + 5*j**3 - 53*j + 1/10*j**5. Let w(b) = 0. What is b?
-1, 5
Let a(c) be the second derivative of -c**7/42 - 13*c**6/90 - 19*c**5/60 - 11*c**4/36 - c**3/9 - 6*c - 3. Let a(v) = 0. What is v?
-2, -1, -1/3, 0
Solve -6*i**2 + 24/7*i + 9/7*i**3 - 3/7*i**5 + 0 + 12/7*i**4 = 0 for i.
-2, 0, 1, 4
Suppose -480 - 5/6*b**2 - 40*b = 0. What is b?
-24
Let t(m) be the second derivative of m**4/42 - 13*m**3/7 - 82*m**2/7 + 5*m - 3. Factor t(h).
2*(h - 41)*(h + 2)/7
Let q(b) be the second derivative of b**6/90 + b**5/10 - b**4/36 - 5*b**3/3 + 300*b. Factor q(d).
d*(d - 2)*(d + 3)*(d + 5)/3
Let k(t) be the second derivative of -13*t**4/66 - t**3/3 + 2*t**2/11 - 212*t. Factor k(y).
-2*(y + 1)*(13*y - 2)/11
Let i be (20/8)/(50/60) - 1. Find f such that 0 - 3/2*f**4 + 15/2*f**i + 0*f - 6*f**3 = 0.
-5, 0, 1
Let y be (7150/33)/(-26) - -11. Factor -y*t - 4/3 + 4*t**2.
4*(t - 1)*(3*t + 1)/3
Let y be 5/((-10)/(-9))*36/54. Factor 25/2*a**2 - 20*a + 10 - 5/2*a**y.
-5*(a - 2)**2*(a - 1)/2
Let k be (-219)/(-146) - 2/8. Solve -k*h + 25/4*h**3 - 1/2 - 17/4*h**4 - 5*h**5 + 19/4*h**2 = 0 for h.
-1, -1/4, 2/5, 1
Let k(v) be the third derivative of 1/56*v**4 + 1/140*v**5 + 0*v + 16*v**2 + 0 - 1/7*v**3. What is j in k(j) = 0?
-2, 1
Let p(m) be the first derivative of m**4/2 + 2*m**3/3 - 8*m**2 - 24*m + 184. Factor p(i).
2*(i - 3)*(i + 2)**2
Let m(d) be the second derivative of -1/10*d**6 + 0*d**4 - 3/10*d**5 + d**3 + 3/2*d**2 + 20*d + 0. Determine i, given that m(i) = 0.
-1, 1
Let s be -4*(-22)/(-11) + 8. Let a(l) be the third derivative of 2*l**2 + 1/24*l**4 + s*l - 1/120*l**6 - 1/3*l**3 + 0 + 1/30*l**5. Find n, given that a(n) = 0.
-1, 1, 2
Let q(v) be the second derivative of v**4/6 - 2*v**3/3 - 15*v**2 - 80*v. Determine x so that q(x) = 0.
-3, 5
Let c(r) = -r**2 - r. Let z(o) = -o**3 - 44*o**2 - 332*o - 289. Let a(p) = 36*c(p) - 4*z(p). Suppose a(h) = 0. What is h?
-17, -1
Let z(y) be the second derivative of 5*y**4/78 - 3*y**3/13 - 2*y**2/13 - 152*y. Factor z(k).
2*(k - 2)*(5*k + 1)/13
Let r(x) = 15*x**4 + 80*x**3 + 305*x**2 + 240*x - 10. Let t(u) = -17*u**4 - 81*u**3 - 304*u**2 - 240*u + 12. Let b(i) = -6*r(i) - 5*t(i). Factor b(n).
-5*n*(n + 1)*(n + 6)*(n + 8)
Let h(g) be the first derivative of -1/6*g**4 - 1/360*g**6 - 1/3*g**3 + 2 + 0*g**2 + 0*g + 1/30*g**5. Let u(m) be the third derivative of h(m). Factor u(r).
-(r - 2)**2
Suppose z = -t - 0*t + 9, t = z + 1. Let y = -82 - -86. Let -2*s**4 + 4*s**2 - 2*s**2 + 0*s**y - 2*s**3 - 3*s + t*s = 0. Calculate s.
-1, 0, 1
Let h(v) = -3*v**2 - v + 3. Let g(d) = -4*d**2 + 4. Let p(u) = -2*g(u) + 3*h(u). Let y be p(-3). Factor 4*n - n**2 - y + 3*n - 5*n.
-(n - 1)**2
Suppose 2*r + 7 = -0*r - 7*y, 5*y + 5 = -4*r. Let q(u) be the third derivative of 0*u + 5*u**2 + r - 1/32*u**4 + 1/240*u**5 + 1/12*u**3. Factor q(f).
(f - 2)*(f - 1)/4
Let w(f) be the second derivative of -f**5/30 - 25*f**4/54 - 8*f**3/27 + 240*f. Find y such that w(y) = 0.
-8, -1/3, 0
Let n(a) = a**3 + 6*a**2 + 6*a + 9. Let c be n(-5). Let z be c*1*4/88. Find f such that 2/11*f**3 + 4/11*f**2 + 0 + z*f = 0.
-1, 0
Let g(n) be the first derivative of 