**6/2 - 6*q**5/5 + 3*q**4/4 + 2*q**3 + 18. Let z(d) = 0. What is d?
-2, -1, 0, 1
Let d(a) be the first derivative of -1/3*a + 0*a**2 + 2/9*a**3 - 1/15*a**5 - 5 + 0*a**4. Factor d(z).
-(z - 1)**2*(z + 1)**2/3
Let g = 1 - 1. Suppose g = 5*q - q - 60. Determine r, given that 9*r**2 - 2*r**3 + 9*r**5 - q*r**4 + 1 - 6*r + 5*r**2 - r = 0.
-1, 1/3, 1
Let u be (((-6)/2 - -3)/2)/4. Let f(k) be the third derivative of u - 1/270*k**6 + 0*k**4 + 0*k**5 + 0*k**3 - 1/945*k**7 + 0*k + k**2. Let f(c) = 0. What is c?
-2, 0
Suppose -2/5 - 4/5*v - 2/5*v**2 = 0. Calculate v.
-1
Let h(c) be the first derivative of 0*c**2 + 0*c**3 + 1/54*c**4 - 1/135*c**6 + 1 + 0*c**5 - 2*c. Let k(y) be the first derivative of h(y). Factor k(w).
-2*w**2*(w - 1)*(w + 1)/9
Let u**3 + 3*u**3 - 16 + 11*u**2 + u**2 = 0. What is u?
-2, 1
Suppose -3*q = -q - 6. What is g in 6*g**2 + 6*g**2 + 6*g - 4*g**2 - 21*g**3 + 23*g**q = 0?
-3, -1, 0
Let c(x) be the third derivative of 1/2*x**4 + 1/70*x**7 + 2*x**3 + 3*x**2 + 0 - 3/20*x**5 + 0*x - 1/20*x**6. Solve c(s) = 0.
-1, 2
Find j, given that 158/5*j**3 + 14/5*j**5 + 8/5*j - 116/5*j**2 + 16/5 - 16*j**4 = 0.
-2/7, 1, 2
Suppose 0 = -11*m + 6*m. Let f(x) be the second derivative of -1/9*x**3 + 0*x**2 - 1/12*x**4 + 1/12*x**5 + 2*x + m. Let f(i) = 0. Calculate i.
-2/5, 0, 1
Suppose a - 4*y + 4 = 0, -5 = -3*a + y - 6*y. Factor 1/2*k + a + 1/2*k**3 + k**2.
k*(k + 1)**2/2
Suppose 2*s - 5*r = -2 + 1, 4*r = 5*s - 6. Let m(t) be the first derivative of -1/16*t**4 + 2 + 0*t + 1/12*t**3 + 1/8*t**s - 1/20*t**5. Factor m(l).
-l*(l - 1)*(l + 1)**2/4
Factor -1/4*r + 1/4 + 1/4*r**3 - 1/4*r**2.
(r - 1)**2*(r + 1)/4
Factor 0 + 5/3*i**3 + 10/3*i**2 + 0*i.
5*i**2*(i + 2)/3
Let j(z) be the first derivative of -z**6/180 - z**5/30 - z**4/12 + z**3/3 - 4. Let n(b) be the third derivative of j(b). Factor n(q).
-2*(q + 1)**2
Let w(q) = 5*q**3 - 6*q**2 - 3*q. Let s(d) be the first derivative of 9*d**4/4 - 11*d**3/3 - 5*d**2/2 + 3. Let v(f) = -4*s(f) + 7*w(f). Factor v(x).
-x*(x - 1)**2
Let r(z) be the second derivative of z**4/60 + z**3/15 + z**2/10 + 4*z. Factor r(d).
(d + 1)**2/5
Find r such that -4/7 - 24/7*r**2 - 8/7*r**3 - 18/7*r = 0.
-2, -1/2
Let w be (-12)/(-60) - (18/10 - 2). Determine j so that -2/5*j + 0 + w*j**2 = 0.
0, 1
Let q(n) = n + 1. Let i be q(1). Let c be ((-8)/5)/(2 - 3). Find x, given that -c + 8/5*x - 2/5*x**i = 0.
2
Let o be -9 + 58/6 + 26/6. Let q = 997/3 - 329. Factor -5/3*u**4 - 10/3*u**2 + 5/3*u + 1/3*u**o + q*u**3 - 1/3.
(u - 1)**5/3
Factor -84*z + 40*z**2 + 588 + 38*z**2 - 75*z**2.
3*(z - 14)**2
Let b(w) = w - 1. Let z be b(3). Suppose -o + 9 = z*o. Suppose -2*h**2 - 5*h**3 + h**o + 3*h**3 = 0. What is h?
-2, 0
Find h such that -22*h + 30*h**2 - 14*h**2 - 4*h**3 + 8 + 3*h - h = 0.
1, 2
Let v(q) = q**2 - 2*q - 1. Let l be v(3). Suppose -l*s = -s - 3. Factor -8/5*f**2 + 0 + 2/5*f - 8/5*f**4 + 2/5*f**5 + 12/5*f**s.
2*f*(f - 1)**4/5
Suppose -3*j - 17 = -5*x, 4*x + 3*j = 15 + 4. Factor 4*s**2 - 6*s**3 + 9 - 9 + 2*s**x.
2*s**2*(s - 2)*(s - 1)
Let d(x) be the first derivative of x**8/240 + x**7/420 - 2*x**3/3 + 3. Let r(p) be the third derivative of d(p). Find k, given that r(k) = 0.
-2/7, 0
Let d(n) be the first derivative of -2*n**5/15 + n**4/3 - 2*n**3/9 - 4. Factor d(v).
-2*v**2*(v - 1)**2/3
Let c = -18 - -29. Suppose -c = -5*j + 14. Suppose 0*f + 0*f**2 + 0 - 2/9*f**4 + 2/9*f**j + 0*f**3 = 0. Calculate f.
0, 1
Let a(o) be the first derivative of 2*o**2 + 0*o + 2/3*o**3 + 3. Factor a(r).
2*r*(r + 2)
Let h = 208 - 622/3. Determine m so that -2/9 + 4/9*m + h*m**2 = 0.
-1, 1/3
Determine j, given that -17*j**3 + 25 + 11 - 3*j**3 - 4*j**4 + 80*j - 8*j**2 + 60 = 0.
-3, -2, 2
Let b(r) be the third derivative of r**6/1260 - r**5/210 - r**4/28 - r**3/2 + 4*r**2. Let x(n) be the first derivative of b(n). Suppose x(f) = 0. Calculate f.
-1, 3
Factor 8/3*u + 1/3*u**2 + 16/3.
(u + 4)**2/3
Let r(b) be the second derivative of 5*b**4/144 - b**3/72 + 9*b. What is m in r(m) = 0?
0, 1/5
Let h = -149/4 - -38. Factor 1/4*w**3 + 3/4*w + h*w**2 + 1/4.
(w + 1)**3/4
Let -22*j - 7*j**3 - 20*j**2 + 2*j**3 + 2*j = 0. What is j?
-2, 0
Let y = 27/7 - 74/21. Find w such that 4/3*w - w**2 - y = 0.
1/3, 1
Let z be -1*-1*(-1)/9. Let a = z - -11/18. Factor 0 + a*u**3 - 1/2*u + 0*u**2.
u*(u - 1)*(u + 1)/2
Let o be (1/3)/(1/(2 + 4)). Factor -1 - 1/4*i**3 - 5/4*i**o - 2*i.
-(i + 1)*(i + 2)**2/4
Let f be 3/(-84) - 4/(-14). Let n(u) be the first derivative of -1/10*u**5 + 1/12*u**6 + 2 - 1/2*u + 1/3*u**3 - f*u**4 + 1/4*u**2. Factor n(d).
(d - 1)**3*(d + 1)**2/2
Let m(x) be the third derivative of -x**6/84 - x**5/70 + x**4/42 - 7*x**2. Solve m(g) = 0.
-1, 0, 2/5
Let c = -1205 + 1205. Solve 2/3*a**2 + 2/9*a**3 + c + 0*a = 0 for a.
-3, 0
Suppose -4*y + 2*j = -3*j - 106, 2*y - 4*j - 56 = 0. Let b be 21/18 + (-16)/y. What is g in b*g**3 + 1/2 + 3/2*g + 3/2*g**2 = 0?
-1
Let h(n) = -n + 1. Let g(y) = -3*y - 4. Let m(u) = -g(u) + 4*h(u). Let k be m(6). Factor -4*v + 3*v**3 + 5*v - 2*v**2 - k*v**3.
v*(v - 1)**2
Let o be (-2)/(-1)*(-25)/(-10). Let c(r) be the second derivative of 1/36*r**4 + 0 + r - 1/90*r**6 + 0*r**2 + 0*r**o + 0*r**3. Find m such that c(m) = 0.
-1, 0, 1
Let a(g) be the first derivative of -g**3 - 9*g**2/2 - 6*g - 5. Determine k so that a(k) = 0.
-2, -1
Let g be ((-2)/4)/((-3)/18). Determine k so that -k**2 - g*k**4 + 4*k**4 + k**3 + k**4 - k - k**4 = 0.
-1, 0, 1
Let g(p) = -1. Let s(a) = -a + 28. Let h(z) = 3*g(z) + s(z). Let x be h(11). Factor -6 + 7*k**2 - 6*k**2 + 7*k**2 + 2 - x*k.
2*(k - 2)*(4*k + 1)
Let d = 659/5 - 131. Let d*x**3 - 2/5*x**5 - 2/5*x + 0*x**4 + 0*x**2 + 0 = 0. What is x?
-1, 0, 1
Let o = -76/17 - -1022/221. Factor 0*i - o*i**2 + 2/13.
-2*(i - 1)*(i + 1)/13
Let w = 153/65 - 15/13. Let b(y) be the second derivative of 1/3*y**6 - 4*y + 0*y**2 - w*y**5 - 2/3*y**3 + 0 + 3/2*y**4. Let b(u) = 0. What is u?
0, 2/5, 1
Let b(y) = -4*y**2 + 36*y. Let r(p) = p**2 - 9*p. Let h(t) = 6*b(t) + 26*r(t). Factor h(o).
2*o*(o - 9)
Let k(x) be the first derivative of -12*x**5/5 + 8*x**4 - 8*x**3 + 4*x - 7. Factor k(i).
-4*(i - 1)**3*(3*i + 1)
Let s(k) be the first derivative of -k**6/10 - 9*k**5/20 - 3*k**4/4 - k**3/2 + 6*k - 4. Let t(m) be the first derivative of s(m). Find i, given that t(i) = 0.
-1, 0
Factor -3/7*u**4 + 0*u**3 + 6/7*u + 0 + 9/7*u**2.
-3*u*(u - 2)*(u + 1)**2/7
Let c = 106165/702 + -1960/13. Let q = c - -1/27. Solve -5/4*f**3 - q - 1/4*f**4 - 9/4*f**2 - 7/4*f = 0 for f.
-2, -1
Let h(l) be the first derivative of -3*l**4/10 - 14*l**3/15 - 2*l**2/5 - 1. Factor h(c).
-2*c*(c + 2)*(3*c + 1)/5
Let d be 6/20*420/315. Let -3/5*q**2 + 0 + 6/5*q**4 + q**3 - d*q = 0. Calculate q.
-1, -1/2, 0, 2/3
Let d(p) be the first derivative of -3*p**5/25 + 3*p**4/10 + p**3/5 - 3*p**2/5 + 2. Factor d(o).
-3*o*(o - 2)*(o - 1)*(o + 1)/5
Let d(k) be the third derivative of -k**9/22680 + k**8/3150 - k**7/1260 + k**6/1350 - k**3/2 + 7*k**2. Let z(x) be the first derivative of d(x). Factor z(u).
-2*u**2*(u - 2)*(u - 1)**2/15
Let h(n) be the third derivative of n**5/60 + 7*n**4/24 - 5*n**3/6 + 2*n**2. Let b be h(-8). Let -u**3 + 0 + u + 4 - u**2 - b = 0. What is u?
-1, 1
Suppose -3*c - 15 = 0, -2*x = -5*x - 3*c - 15. Let t(a) be the first derivative of 3 - 2/3*a**3 + x*a + 2/5*a**2. Factor t(r).
-2*r*(5*r - 2)/5
Let c = 1700214/4516645 - -2/53137. Let l = c + -3/17. Find k such that -1/5*k**5 - l*k + 0*k**4 + 0 + 0*k**2 + 2/5*k**3 = 0.
-1, 0, 1
Let y(s) be the second derivative of 1/180*s**6 + 0*s**4 - 1/3*s**3 - 1/30*s**5 + 0 - s + 0*s**2. Let f(i) be the second derivative of y(i). Factor f(m).
2*m*(m - 2)
Suppose -4*k = 4*w - 8, -2*w + 3*k - 6 = -0. What is p in p**2 - 9*p**3 + 2*p - 16*p**5 + 24*p**4 - 2*p + w*p = 0?
0, 1/4, 1
Let u(j) be the third derivative of -j**6/24 + j**5/20 + 3*j**4/40 + j**3/30 - 8*j**2. Factor u(m).
-(m - 1)*(5*m + 1)**2/5
Let r(d) be the first derivative of -d**6/2 - 27*d**5/10 - 6*d**4 - 7*d**3 - 9*d**2/2 - 3*d/2 + 4. Let r(z) = 0. What is z?
-1, -1/2
Factor -5*b**2 + 0*b**2 + 2*b - 3*b**2 + 2*b.
-4*b*(2*b - 1)
Let t(f) be the third derivative of f**8/252 - 4*f**7/105 + 13*f**6/90 - 4*f**5/15 + 2*f**4/9 - 6*f**2. Factor t(c).
4*c*(c - 2)**2*(c - 1)**2/3
Let f(w) be the second derivative of 1/8*w**2 + 1/80*w**5 - 1/24*w**3 + 0 - 1/48*w**4 + 4*w. Factor f(