 v(i).
-(i - 5)*(i - 3)**2*(i + 1)/2
Let f(r) be the first derivative of 2*r**3/15 + 2*r**2 + 48*r/5 - 504. Solve f(o) = 0 for o.
-6, -4
Let x(m) be the first derivative of -2*m**6/3 - 4*m**5/5 + 6*m**4 - 8*m**3/3 - 10*m**2 + 12*m + 320. Let x(v) = 0. Calculate v.
-3, -1, 1
Let t be (-12)/(-21) + (-1326)/(-595). Let -2*p**5 + 4/5*p + 6/5*p**3 + 0 - 14/5*p**2 + t*p**4 = 0. Calculate p.
-1, 0, 2/5, 1
Suppose 0 = -3*l + 4*l + 12. Let b be ((-2)/l)/(-4 + (-98)/(-21)). Factor -b*k**5 + 0 - 1/4*k**4 + 1/4*k**2 + 0*k + 1/4*k**3.
-k**2*(k - 1)*(k + 1)**2/4
Let z(r) be the second derivative of r**7/14 - 6*r**6/5 + 21*r**5/4 + 3*r**4 - 18*r**3 + 2*r - 264. What is h in z(h) = 0?
-1, 0, 1, 6
Factor 3*g + 15/2*g**2 + 3/2*g**4 + 6*g**3 + 0.
3*g*(g + 1)**2*(g + 2)/2
Determine p, given that -12*p**4 + 119*p**2 - 235*p**2 + 2*p**3 + 120*p**2 = 0.
-1/2, 0, 2/3
Let a be (-2)/((-20)/(-9))*(-70)/42. Factor -a + 1/2*m**2 - m.
(m - 3)*(m + 1)/2
Factor -2/3*x**3 + 4/3 + 2*x + 0*x**2.
-2*(x - 2)*(x + 1)**2/3
Let y(f) = -2*f - 2. Let t(g) = g**2 + g - 1. Let a = 759 - 758. Suppose -4*s - 6 = 2. Let n(i) = a*y(i) + s*t(i). Factor n(r).
-2*r*(r + 2)
Let t(q) be the second derivative of -q**4/12 - 17*q**3/6 - 15*q**2 + 121*q. Factor t(r).
-(r + 2)*(r + 15)
Let a(i) = -2*i - 6. Let s be a(-4). Let t = 133 - 130. Factor -3*p**4 - p + 3*p**s + 3*p**t + 2*p**3 - 2*p**3 - 2*p.
-3*p*(p - 1)**2*(p + 1)
Let s(x) be the first derivative of x**4/12 - 17*x**3/18 + 5*x**2/3 + 4*x - 18. Let q(p) be the first derivative of s(p). Let q(c) = 0. What is c?
2/3, 5
Let g(r) be the third derivative of -r**5/60 - 53*r**4/6 - 5618*r**3/3 + 6*r**2 + 16. Find s such that g(s) = 0.
-106
Let r(i) be the third derivative of -9*i**6/200 - 13*i**5/100 - i**4/15 + 2*i**3/15 + 14*i**2 - 1. Find g such that r(g) = 0.
-1, -2/3, 2/9
Let f(c) be the third derivative of c**5/180 + c**4/6 - 14*c**3/9 + 125*c**2 - 1. Suppose f(j) = 0. What is j?
-14, 2
Suppose 20*g = 16*g + 36. Factor -2*o**2 - g*o**3 - 8*o**4 - 4*o**3 + 19*o**3 + 2*o**4 + 2*o**5.
2*o**2*(o - 1)**3
Let w be (7 - 209/22)*-4. Let d(s) be the first derivative of 0*s + 0*s**2 + 2*s**3 + 3/5*s**5 - 9/4*s**4 + w. Factor d(t).
3*t**2*(t - 2)*(t - 1)
Let w be (-3 - (-15)/9)/(78/(-378)). Let k = 537/65 - w. Suppose -k*u**2 + 12/5*u + 12/5 - 12/5*u**3 - 3/5*u**4 = 0. Calculate u.
-2, -1, 1
Suppose 4*b - 5*w - 25 = -10, w + 3 = -2*b. Suppose 4*j = 8 - b. Factor 5 + n**j - 6*n**3 - 5 + 5*n**3.
-n**2*(n - 1)
Factor -72 - 4/3*s**2 - 116/3*s.
-4*(s + 2)*(s + 27)/3
Suppose 29*o = 31*o - 34. Suppose -47 = -o*z + 4. Determine k, given that -1/6*k**z + 0*k**2 + 0 + 1/6*k = 0.
-1, 0, 1
Factor -62/13 - 2/13*o**2 + 64/13*o.
-2*(o - 31)*(o - 1)/13
Let m(j) be the third derivative of -j**8/1344 + j**6/48 - j**5/12 + 5*j**4/32 - j**3/6 + 438*j**2. Factor m(n).
-(n - 1)**4*(n + 4)/4
Let d = 3657 + -3655. Factor 0*r + 8/15*r**d - 2/15*r**3 + 0.
-2*r**2*(r - 4)/15
Let a = -4852/5 + 980. Factor 22/5*o + 6/5*o**5 - a*o**2 - 4/5 - 28/5*o**4 + 52/5*o**3.
2*(o - 1)**4*(3*o - 2)/5
Find h, given that 4 - 6*h + h**2 + 2*h + h**3 - 2*h**2 = 0.
-2, 1, 2
Let s(j) = 2*j**3 + j**2 + j + 1. Let c(g) = -17*g**3 - 41*g**2 + 134*g - 106. Let p(f) = c(f) + 6*s(f). Factor p(z).
-5*(z - 2)*(z - 1)*(z + 10)
Determine n so that -108/5*n - 22*n**2 + 0 - 2/5*n**3 = 0.
-54, -1, 0
Let w be -10 + 8 - (1 + -5). Suppose -s + b = -w, 34 = 5*s - b + 2*b. Factor -6*a**2 + s - 6*a - 9*a + 21*a**3 - 9*a + 3*a.
3*(a - 1)*(a + 1)*(7*a - 2)
Let w(s) be the second derivative of s**6/30 + 9*s**5/20 + 2*s**4/3 - 10*s**3 - 293*s. Factor w(q).
q*(q - 2)*(q + 5)*(q + 6)
Suppose -10 = 3*p - 40. Suppose p*k + 10 = 15*k. Let -19*b**k - 7*b**5 - 31*b**3 - 18*b**2 + 37*b**4 - 20*b**2 + 18*b = 0. What is b?
-1, 0, 2/7, 3
Suppose -4*a + 2*u + 36 = 0, -4*a + 0*u + u = -32. Factor 35*y + y**3 - y**2 + 49 + a*y**2 + 5*y**2 - 24.
(y + 1)*(y + 5)**2
Let o(a) be the third derivative of a**7/70 - a**6/40 - a**5/20 + a**4/8 - 79*a**2. Factor o(u).
3*u*(u - 1)**2*(u + 1)
Find r such that 54/11 - 6/11*r**2 + 0*r = 0.
-3, 3
Let w(r) be the second derivative of r**4/24 - 19*r**3/8 + 7*r**2/2 + 361*r. Factor w(c).
(c - 28)*(2*c - 1)/4
Let s be 16/72*3/6*21. Let -3*d**2 - 1/3*d**4 - 2/3 + 5/3*d**3 + s*d = 0. What is d?
1, 2
Solve -60*n**3 + 185*n**2 - 190*n - 55*n**3 + 120*n**3 = 0 for n.
-38, 0, 1
Find t such that -73*t**2 - t**4 + 67*t**2 - 20*t**3 + 74*t + 25 + 42*t**3 + 78*t**2 = 0.
-1, 25
Let j(m) be the second derivative of m**4/30 - 32*m**3/3 + 159*m**2/5 + 9*m + 13. Factor j(t).
2*(t - 159)*(t - 1)/5
Let d = 3006 + -15021/5. Factor 3/5*n**3 + 2/5 + d*n + 2*n**2.
(n + 1)*(n + 2)*(3*n + 1)/5
Let v be 250/(-168) + 27/18. Let c(r) be the third derivative of -1/210*r**6 + v*r**4 + 0 + 0*r**7 + 1/1176*r**8 + 0*r**3 + 0*r**5 + 0*r - 4*r**2. Factor c(b).
2*b*(b - 1)**2*(b + 1)**2/7
Let d = 307 + -307. Let c(o) be the third derivative of -1/180*o**6 - 1/45*o**5 + 0*o**3 + 0 + d*o + 0*o**4 + 4*o**2. Solve c(x) = 0.
-2, 0
Let j(m) = m**2 + m. Let b(c) = -2*c**4 - 20*c**3 - 76*c**2 - 82*c. Let f(v) = -2*b(v) - 20*j(v). Factor f(q).
4*q*(q + 3)**2*(q + 4)
Let q(x) = 26*x**4 - 26*x**3 + 24*x**2 - 8*x - 4. Let w(t) = 50*t**4 - 54*t**3 + 49*t**2 - 15*t - 8. Let d(j) = -11*q(j) + 6*w(j). Suppose d(i) = 0. What is i?
-2/7, 1
Factor -66/5 - 3/5*n**3 - 71/5*n + 8*n**2.
-(n - 11)*(n - 3)*(3*n + 2)/5
Let s(p) be the third derivative of 0*p + 0*p**4 + 0*p**3 + 9/140*p**5 + 3/140*p**6 - 5*p**2 + 1/490*p**7 + 0. Solve s(q) = 0.
-3, 0
Let d(c) = 26*c - 17. Let a be d(4). Let p = a + -83. Factor 2*b**p - 16/5*b**3 + 8/5*b**2 - 2/5*b**5 + 0 + 0*b.
-2*b**2*(b - 2)**2*(b - 1)/5
Let l(r) = -5*r**4 + 35*r**3 - 130*r**2 + 226*r - 146. Let u(n) = -11*n**4 + 71*n**3 - 259*n**2 + 451*n - 293. Let i(k) = 5*l(k) - 2*u(k). Factor i(x).
-3*(x - 4)*(x - 3)*(x - 2)**2
Let r(y) be the second derivative of y**4/90 - 26*y**3/45 - 9*y**2/5 - 18*y - 1. Factor r(p).
2*(p - 27)*(p + 1)/15
Let g(f) be the first derivative of -2*f**3/27 - 97*f**2/9 - 380*f/9 - 42. Factor g(o).
-2*(o + 2)*(o + 95)/9
Let q(b) be the first derivative of 2*b**5/55 - 3*b**4/22 - 14*b**3/33 + 15*b**2/11 + 36*b/11 - 67. Find v such that q(v) = 0.
-2, -1, 3
Let v(z) be the first derivative of -z**7/735 - z**6/1260 + z**5/105 + z**4/84 + 10*z**3/3 + 14. Let d(w) be the third derivative of v(w). Solve d(x) = 0.
-1, -1/4, 1
Let -32 + 163 - 44 + 59 - 2*l**2 - 144*l = 0. What is l?
-73, 1
Let g(y) = -8*y**2 + 204*y + 452. Let d(l) = -17*l**2 + 406*l + 908. Let b(f) = 3*d(f) - 7*g(f). Solve b(i) = 0 for i.
-2, 44
Let n = 3652 + -3646. Solve -3 - 3*r**2 - 15/2*r + 6*r**4 + n*r**3 + 3/2*r**5 = 0 for r.
-2, -1, 1
Let m(l) be the third derivative of -l**5/21 + l**4/8 - l**3/42 - 2*l**2 - 19. Factor m(b).
-(b - 1)*(20*b - 1)/7
Let x(j) be the third derivative of j**8/21 + 2*j**7/105 - 2*j**6/15 - j**5/15 - 244*j**2. Suppose x(c) = 0. Calculate c.
-1, -1/4, 0, 1
Let m(r) = 320*r**3 + 235*r**2 + 55*r. Let l(x) = 8*x - 166*x**2 - 191*x**2 - 64*x + 121*x**2 - 1 - 320*x**3. Let h(y) = -5*l(y) - 4*m(y). Factor h(n).
5*(4*n + 1)**3
Let l(g) be the third derivative of -g**5/360 + 13*g**4/144 - g**3/3 + 35*g**2. Factor l(q).
-(q - 12)*(q - 1)/6
Let p(c) be the third derivative of -c**5/300 - c**4/10 - 16*c**3/15 + 268*c**2. Let p(f) = 0. Calculate f.
-8, -4
Find j such that 4 + 2/7*j**2 - 18/7*j = 0.
2, 7
Let w(i) be the third derivative of 8/15*i**5 + 0*i + 2/3*i**4 + 0*i**3 + 1/10*i**6 + 0 - 3*i**2 - 1/84*i**8 - 4/105*i**7. Find l, given that w(l) = 0.
-2, -1, 0, 2
Factor 8/5*g - 4/5*g**3 + 8/5 - 6/5*g**2 + 2/5*g**4.
2*(g - 2)**2*(g + 1)**2/5
Let d(z) be the third derivative of 1/4*z**4 - 2/3*z**3 + 7*z**2 + 0 - 1/30*z**5 + 0*z. Solve d(v) = 0.
1, 2
Factor 10*a - a**2 + 196679 + 21*a - 196709.
-(a - 30)*(a - 1)
Suppose 0 = 69*z - 64*z + 5*t - 25, -6*z = 5*t - 27. Factor 0*u + 1/5*u**z - 4/5.
(u - 2)*(u + 2)/5
Let g = -1/21 + 8/21. Let y = 6 + -6. Factor y - g*v**2 + 1/3*v.
-v*(v - 1)/3
Let p(w) be the third derivative of w**6/480 - 3*w**5/40 + 11*w**4/32 - 2*w**3/3 + w**2 + 3*w. Find i such that p(i) = 0.
1, 16
Suppose 3*a**4 + 0*a**4 + 0*a**4 + 3*a**3 + 14*a**5 - 3*a**2 - 17*a**5 = 0. What is a?
-1, 0, 1
Let w(i) be the second derivative of i**7/147 - i**6/35 - i**5/10 + 5*i**4/14 + 6*i**3/7 - 21*i. Suppose w(