*2 + 1/180*l**6 + 1/6*l**4. Find r such that w(r) = 0.
1, 3
Let i(f) = -5*f**3 - 4*f**2 + 19*f - 14. Let s(o) = -170*o + 11*o**2 + 5*o**3 + 24*o**2 + 5*o**3 + 125 + 35*o**3. Let d(b) = -35*i(b) - 4*s(b). Factor d(t).
-5*(t - 1)**2*(t + 2)
Let -3*d**2 + 0 + 0*d - 3/2*d**3 + 3/2*d**5 + 3*d**4 = 0. Calculate d.
-2, -1, 0, 1
Let g(y) = 11*y**2 + 16*y - 383. Let s(l) = 36*l**2 + 46*l - 1148. Let f(r) = -7*g(r) + 2*s(r). Factor f(p).
-5*(p - 7)*(p + 11)
Let x = -142195/8 + 17777. Factor -3/4 + x*o + 15/8*o**3 - 27/8*o**2 - 3/8*o**4.
-3*(o - 2)*(o - 1)**3/8
Let t(n) be the second derivative of 0 + 3/20*n**5 + 0*n**2 + 1/30*n**6 - 19*n + 1/6*n**3 + 1/4*n**4. Solve t(b) = 0 for b.
-1, 0
Let t be (1422/99 - 70/7) + -4. Determine l so that 10/11*l + 8/11*l**2 + 2/11*l**3 + t = 0.
-2, -1
Let t be -3*6/72 - 43/20. Let r = t - -14/5. What is p in -2/5*p**2 - r*p + 0 = 0?
-1, 0
Let z(h) = -h**3 - 21*h**2 - h - 19. Let s(t) = t**2 + 21*t + 33. Let k be s(-18). Let f be z(k). Factor 4/7*a - 2/7*a**f - 2/7.
-2*(a - 1)**2/7
Suppose -t - 3*t = 64. Let v be 2/4*t/(-56). Factor 0 + 0*d + v*d**3 + 1/7*d**4 - 1/7*d**5 - 1/7*d**2.
-d**2*(d - 1)**2*(d + 1)/7
Let d(j) be the third derivative of -j**6/40 + j**5/5 - j**4/8 - 3*j**3 + 65*j**2. Factor d(l).
-3*(l - 3)*(l - 2)*(l + 1)
Let w be (-2)/(-7) - (-1 - 63/(-49)). Solve w*x - 2/5*x**3 + 4/5 - 9/5*x**2 + 3/5*x**4 = 0.
-1, 2/3, 2
Let f(i) be the first derivative of -2*i**3/3 + 3*i**2 + 98. Solve f(k) = 0 for k.
0, 3
Let j = 27387 + -27387. Find k such that -16*k**2 + 81/2*k**4 - 45/2*k**3 + j - 2*k = 0.
-2/9, 0, 1
Let s(h) be the first derivative of -245/3*h**3 - 15 + 35/2*h**4 + 0*h**2 - h**5 + 0*h. Let s(x) = 0. What is x?
0, 7
Suppose 8*i - 48 = 4*i. Let q be 5/(45/i)*3/8. Factor 9/4*u - 3*u**2 + 5/4*u**3 - q.
(u - 1)**2*(5*u - 2)/4
Determine x, given that 0*x + x**3 - 1/4*x**5 + 1/4*x**4 - x**2 + 0 = 0.
-2, 0, 1, 2
Let -76/5*m**2 + 0 - 4/5*m**3 - 48*m = 0. What is m?
-15, -4, 0
Let a(v) be the second derivative of -30*v + 0*v**2 + 0 + 1/42*v**4 + 0*v**3. What is u in a(u) = 0?
0
Suppose -153*o - 30 = -156*o. Suppose -16*m - o = -21*m. Find g, given that 0 + 2/7*g**m - 2/7*g**4 - 2/7*g + 2/7*g**3 = 0.
-1, 0, 1
Suppose 6*h + 45 = 11*h. Find v such that -12 + 18*v + 3*v**2 - 6*v - h*v**2 + 3*v**2 = 0.
2
Let m(u) be the second derivative of 2*u**6/15 + 14*u**5/5 - 20*u**4/3 - 52*u**3 - 90*u**2 - 88*u + 1. Determine v, given that m(v) = 0.
-15, -1, 3
Suppose 9*a**3 + 3/8*a**4 + 294 - 252*a + 33*a**2 = 0. Calculate a.
-14, 2
Let g(v) be the first derivative of -v**4/20 + 11*v**3/15 + 4*v**2 + 28*v/5 - 33. Solve g(u) = 0 for u.
-2, -1, 14
Let p(k) = 5*k**4 + 100*k**3 - 450*k**2 + 595*k - 245. Let b(g) = 5*g**4 + 100*g**3 - 449*g**2 + 596*g - 246. Let f(c) = 5*b(c) - 6*p(c). Factor f(s).
-5*(s - 2)*(s - 1)**2*(s + 24)
Let i(k) be the second derivative of -11*k + 5/6*k**3 - 3/4*k**5 + 0*k**4 + 1/3*k**6 + 0*k**2 + 0. Determine s so that i(s) = 0.
-1/2, 0, 1
Let v(j) be the first derivative of -j**6/6 + 11*j**4/4 - 6*j**3 + 4*j**2 + 181. Factor v(c).
-c*(c - 2)*(c - 1)**2*(c + 4)
Suppose 0 = -5*r + g - 21, -3 = -g - 2. Let n be (7/1 + r)/1. Determine i so that 2/3*i**n + 10/3*i + 8/3*i**2 + 4/3 = 0.
-2, -1
Suppose -4*o - 8 = 0, -3*n - 5*o = n + 10. Determine r, given that -9/4*r**5 + n - 13/4*r**2 + 1/2*r - 3/4*r**4 + 23/4*r**3 = 0.
-2, 0, 1/3, 1
Suppose -d + 1 = 3*w, d + 2*w - 4 = -2. Solve -2*k**4 - 5*k**4 + 2*k**3 + d*k**3 - 3*k**2 + 4*k**4 = 0 for k.
0, 1
Suppose 10*j = 5*j + 3*q + 93, -2*q = 2*j - 34. Let h = j - 13. Factor 3*r**4 - r - 3*r**2 + 16*r**5 - 25*r**h + 11*r**5 - r**3.
r*(r - 1)*(r + 1)**2*(2*r + 1)
Determine o, given that 14/3*o + 0 - 4*o**2 - 2/3*o**3 = 0.
-7, 0, 1
Let x = 67 + -33. Suppose -5*z + x - 9 = 0. Let -4*t**2 + 2*t**2 - 3 + 3*t**3 + 0*t**3 + z*t**2 - 3*t = 0. Calculate t.
-1, 1
Let k = 3181/9 + -353. Let f be (3/(-6))/(3/(-12)). Factor 0 - k*q + 2/9*q**f.
2*q*(q - 2)/9
Let y be (46/(-69))/((-10)/9). What is c in y*c**2 + 0*c - 6/5*c**5 - 3/5*c**4 + 0 + 6/5*c**3 = 0?
-1, -1/2, 0, 1
Let g(a) be the first derivative of a**5/20 + 7*a**4/16 + 3*a**3/2 + 5*a**2/2 + 2*a + 90. Factor g(r).
(r + 1)*(r + 2)**3/4
Let y(z) be the first derivative of z**5/300 + z**4/40 + z**3/15 - 11*z**2/2 - 4. Let g(v) be the second derivative of y(v). Factor g(j).
(j + 1)*(j + 2)/5
Let p(t) be the first derivative of -t**3/15 + 13*t**2/10 - 36*t/5 + 10. Factor p(l).
-(l - 9)*(l - 4)/5
Let b(k) be the third derivative of k**7/945 - k**6/270 - k**5/270 + k**4/54 + 3*k**2 - 4*k. Factor b(m).
2*m*(m - 2)*(m - 1)*(m + 1)/9
Let g(u) be the second derivative of u**9/60480 + u**8/13440 + u**7/10080 + u**4/6 - 5*u. Let a(j) be the third derivative of g(j). Solve a(l) = 0.
-1, 0
Let i(j) = -j**2 + 3*j. Let m be i(2). Let h(b) be the first derivative of -3 + 1/9*b**3 + 0*b + 0*b**m. Suppose h(t) = 0. Calculate t.
0
Suppose -q + 12 = 8. Let s(r) be the first derivative of -6 + r**q + 2/15*r**5 + 4*r**2 + 26/9*r**3 + 8/3*r. Factor s(h).
2*(h + 1)**2*(h + 2)**2/3
Let o(s) be the first derivative of s**3/6 - s**2/3 + s/6 - 56. Factor o(x).
(x - 1)*(3*x - 1)/6
Let y(c) be the first derivative of -1/18*c**3 + 0*c - 14 - 1/12*c**2. Determine n, given that y(n) = 0.
-1, 0
Let j(n) be the second derivative of n**6/60 - n**5/30 - 43*n**2/2 + 49*n. Let m(h) be the first derivative of j(h). Determine z, given that m(z) = 0.
0, 1
Let o(y) be the second derivative of -y**4/30 - 34*y**3/5 + 103*y**2/5 + y + 48. Suppose o(c) = 0. What is c?
-103, 1
Let v(i) be the first derivative of 31 + 8*i**3 + 21/4*i**4 + 27/4*i**2 + 3*i + 1/4*i**6 + 9/5*i**5. Find r such that v(r) = 0.
-2, -1
Let t be ((3/9)/((-45)/216))/(-2). Let y = 22 - 20. Solve -t - 14/5*s - 16/5*s**y - 6/5*s**3 = 0.
-1, -2/3
Suppose 2*i - 5 = 3*u, -4*i + 5*u - 4*u + 15 = 0. Let d be (12/(-72))/((-1)/i). Determine k so that 0 + d*k**3 + 0*k + 2/3*k**5 + 4/3*k**4 + 0*k**2 = 0.
-1, 0
Suppose -4 - 14 = -6*f. Let -2*w**4 - w**2 + 24*w**3 - 3*w**2 - 18*w**f = 0. What is w?
0, 1, 2
Let d(i) be the third derivative of -31*i**7/1785 + 29*i**6/1020 + i**5/255 + 270*i**2. Find l such that d(l) = 0.
-2/31, 0, 1
Suppose 7/3*c**3 + 0 - 2/3*c**2 + 2/3*c**4 + 0*c - 7/3*c**5 = 0. Calculate c.
-1, 0, 2/7, 1
Find o such that 29 - 4/3*o**2 - 347/3*o = 0.
-87, 1/4
Suppose 0 = 2*c + 6, -2*c + 10 = 3*d + 16. Suppose -4/7*j**2 + 12/7*j**3 + d + 16/7*j**4 + 0*j = 0. What is j?
-1, 0, 1/4
Let o(h) be the first derivative of 1/45*h**6 - 1 + 1/6*h**2 + 7/60*h**5 - 4*h + 5/18*h**3 + 1/4*h**4. Let d(w) be the first derivative of o(w). Factor d(p).
(p + 1)**3*(2*p + 1)/3
Let r(f) be the third derivative of 0 - 1/3*f**4 + 0*f - 10*f**2 - 1/15*f**5 - 2/3*f**3. Factor r(i).
-4*(i + 1)**2
Let s be -4 - (1 + (-1665)/(-25))*-5. Factor s*i - 3*i**3 - 3*i**2 - 334*i.
-3*i**2*(i + 1)
Factor 12*x - 2/3*x**2 - 112/3.
-2*(x - 14)*(x - 4)/3
Let f be (-143)/102 + ((-234)/(-12))/13. Let r = f - -373/357. Factor -32/7*b**4 - 4/7*b**3 + r*b**2 + 0*b - 20/7*b**5 + 0.
-4*b**2*(b + 1)**2*(5*b - 2)/7
Let o(c) be the first derivative of -2*c**3/3 - 23*c**2 + 48*c + 463. What is g in o(g) = 0?
-24, 1
Let p(o) be the first derivative of -o**8/336 + o**6/60 - o**4/24 + 37*o**2/2 + 8. Let g(n) be the second derivative of p(n). Suppose g(v) = 0. What is v?
-1, 0, 1
Let r(p) be the third derivative of p**8/84 - 16*p**7/105 + 2*p**6/5 + 2*p**5/15 - 13*p**4/6 + 4*p**3 + 26*p**2 + 2. Factor r(u).
4*(u - 6)*(u - 1)**3*(u + 1)
Let f = -8 + 12. Let c(g) = -g**3 - 18*g**2 + g + 22. Let z be c(-18). Let -5*j**z + 8*j**3 + 0*j**4 + j**f = 0. What is j?
0, 2
Suppose -3*x - 17*u + 12*u = 12, 5*u = 3*x - 18. Let i(g) be the first derivative of -3/2*g**2 + x + 0*g + 1/3*g**3. What is p in i(p) = 0?
0, 3
Let n(i) be the first derivative of 0*i**2 + 0*i - 31 - 1/28*i**4 - 4/21*i**3. Let n(t) = 0. What is t?
-4, 0
What is a in -5/4*a - 3/2 - 1/4*a**2 = 0?
-3, -2
Let a(j) = -j - 1. Let s(u) = -u**3 + 15*u**2 + 12*u + 9. Let g(b) = 3*a(b) - s(b). Let q be g(16). Let -2*v**2 - q*v**2 + 10 + 5*v + v**2 = 0. Calculate v.
-1, 2
Suppose 0 = 5*i - 24 + 19. Let z(w) = 4*w**4 - 13*w**3 + 15*w**2 + 8*w - 9. Let b(d) = d**4 - d**3 + d**2. Let u(j) = i*z(j) - 5*b(j). Factor u(l).
-(l - 1)**2*(l + 1)*(l + 9)
Let d be ((168/686)/6)/(1/7). Factor 2/7*h**4 - d + 4/7*h**3 + 