2*y**a + 1/3*y**3. Suppose k(r) = 0. What is r?
-3
Let j(l) = -4*l**3 - 16*l**2 - 16*l - 8. Let v(z) = z**2 + z + 1. Let y(q) = -j(q) - 4*v(q). Factor y(c).
4*(c + 1)**3
Let x(t) = 3*t - 97. Let v be x(33). Let k = 5 - 3. Suppose 10 + g**2 + 2*g**k - 8*g - g**v - 2 = 0. Calculate g.
2
Let f be 5547/774 + (-2 - 5). Let g be (5/30)/(1/3). Factor 1/3 + g*z**3 - 1/6*z**2 - 1/2*z - f*z**4.
-(z - 2)*(z - 1)**2*(z + 1)/6
Let s be 0*(-3)/((-10)/((-60)/(-18))). Factor s + 1/3*w**2 + w.
w*(w + 3)/3
Let d be (-2)/(-10) - (32/10 + -3). Find c, given that d*c - 4/9*c**2 + 0 = 0.
0
Let h(g) be the second derivative of 1/54*g**4 - 2/27*g**3 + 1/9*g**2 + 12*g + 0. Determine b so that h(b) = 0.
1
Let j(p) be the third derivative of -p**7/1050 + 13*p**5/300 + p**4/10 - 117*p**2. Find w such that j(w) = 0.
-3, -1, 0, 4
Let h(v) be the first derivative of -v**3 - 18*v**2 + 84*v - 100. Factor h(n).
-3*(n - 2)*(n + 14)
Let o(q) be the first derivative of 5*q**4/78 - 2*q**3/13 + q**2/13 - 25*q + 22. Let g(x) be the first derivative of o(x). Factor g(b).
2*(b - 1)*(5*b - 1)/13
Let c(a) be the second derivative of 0 - 1/72*a**4 + 0*a**2 + 9*a + 1/60*a**5 - 1/180*a**6 + 0*a**3. Factor c(x).
-x**2*(x - 1)**2/6
Let s(l) be the first derivative of l**6/12 + 3*l**5/5 + 3*l**4/2 + 5*l**3/3 + 3*l**2/4 - 72. Factor s(n).
n*(n + 1)**3*(n + 3)/2
Let k = -9/667 + 2731/4669. Let k*n**2 - 4/7 - 10/7*n**3 + 10/7*n = 0. Calculate n.
-1, 2/5, 1
Let b(f) = -6*f - 5. Let h be b(-5). Let t be 3/4*-5*h/(-15). Solve -4*w + 41/4*w**3 + 1 + 1/4*w**2 - 5/4*w**4 - t*w**5 = 0.
-1, 2/5, 1
Let m(l) be the third derivative of 5*l**6/12 - 26*l**5 + 676*l**4 - 140608*l**3/15 + 24*l**2 + 4*l. Factor m(f).
2*(5*f - 52)**3/5
Let l(o) be the third derivative of -11*o**8/1680 - 17*o**7/840 - o**6/60 + 7*o**3/3 - 10*o**2 - 2*o. Let x(v) be the first derivative of l(v). Factor x(b).
-b**2*(b + 1)*(11*b + 6)
Let n(t) be the first derivative of 16 + 0*t**3 + 0*t + 5/4*t**4 - 5/2*t**2. Factor n(z).
5*z*(z - 1)*(z + 1)
Let r(g) be the first derivative of 2*g**5/65 + 2*g**4/13 - 16*g**2/13 - 32*g/13 + 460. Let r(a) = 0. What is a?
-2, 2
Let l be (-574)/205 - (-2 + (-4)/2). Let i(f) be the first derivative of -1 - 12*f - l*f**5 + 3*f**3 - 15/4*f**4 + 12*f**2. Solve i(r) = 0 for r.
-2, 1/2, 1
Let o = 2 + 6. Find c, given that -55*c - 65*c**3 - o - 2 - 15*c**4 - 123*c**2 + 28*c**2 = 0.
-2, -1, -1/3
Suppose -2*b = -5*s + 46, -b + 9 = 5*s + 2. Let g = b + 15. Factor 5 - z + 2*z + 0*z**g - 3 - z**2.
-(z - 2)*(z + 1)
Let f(n) be the third derivative of -n**8/23520 + 5*n**4/6 - 14*n**2. Let o(d) be the second derivative of f(d). Solve o(j) = 0 for j.
0
Suppose -4*i = -4*y - 12, 2*i + 33 = -y + 39. Factor -1/2*u**3 - 1/2*u**2 + u + y.
-u*(u - 1)*(u + 2)/2
Determine x, given that -248*x - 2*x**3 + 2*x**5 + 248*x - 3*x**4 - 4*x**4 + 18*x**2 - 11*x**4 = 0.
-1, 0, 1, 9
Suppose -2*c - y + 50 = 0, -4*c + 3*y + 69 = -11. Factor -15*p - 4 - 4 - 2*p**2 - 16*p + c*p.
-2*(p + 2)**2
Let z(g) be the first derivative of -2*g**3/15 + g**2/5 + 19. Let z(k) = 0. What is k?
0, 1
Let i be (-58)/15 + 4 - (-56)/30. Factor 9/7*h + 6/7 + 3/7*h**i.
3*(h + 1)*(h + 2)/7
Factor -2/3*l**3 - 64/9*l + 46/9*l**2 + 8/3.
-2*(l - 6)*(l - 1)*(3*l - 2)/9
Let i(f) = -f**2 - 8*f - 5. Let k be i(-7). Find v such that 27 - 30*v + 332*v**2 - 329*v**k + 12*v = 0.
3
Let p(j) = -2*j - 124. Let h be p(-63). Let u(w) be the second derivative of 11*w + 1/70*w**5 + 0*w**h + 0 - 1/21*w**3 + 0*w**4. Factor u(i).
2*i*(i - 1)*(i + 1)/7
Let s = -8463 + 25405/3. Determine o so that 32/3*o**2 - 2/3*o**5 + 0 - 14/3*o**4 - s*o**3 + 0*o = 0.
-4, 0, 1
Let n(c) be the first derivative of 45 - 5*c - 3/4*c**3 + 3*c**2 + 1/16*c**4. Factor n(o).
(o - 5)*(o - 2)**2/4
Let d(z) be the third derivative of -z**5/180 + z**4/2 - 18*z**3 - 4*z**2 - 2. What is o in d(o) = 0?
18
Let d(p) be the third derivative of 0*p**3 + 0 + 5/336*p**8 + 0*p**6 + 1/6*p**5 - 1/21*p**7 - 5/24*p**4 - 9*p**2 + 0*p. Solve d(s) = 0 for s.
-1, 0, 1
Let s(u) be the second derivative of -u**6/15 + 14*u**5/5 + 29*u**4/6 - 92*u + 1. Factor s(d).
-2*d**2*(d - 29)*(d + 1)
Suppose 4*s = 3*v + 13, 3*v = 2*v + 1. Determine g, given that -87*g**4 + 174*g**4 - s*g**2 - 83*g**4 + 12*g**3 - 12*g = 0.
-3, -1, 0, 1
Let p = -157 + 161. Suppose -3*a + a - 4*c = -8, -2*a = -p*c. Factor -3/5 - 1/5*z**a - 4/5*z.
-(z + 1)*(z + 3)/5
Suppose -16*b - 3155*b**2 + 6305*b**2 - 3146*b**2 - 20 = 0. Calculate b.
-1, 5
Find v such that -1 + 88*v - 9 + v**2 - 91*v = 0.
-2, 5
Factor 9/2*a**3 - 7/2*a**2 + 1/2*a**5 - 5/2*a**4 + 0 + a.
a*(a - 2)*(a - 1)**3/2
Suppose 3*a - 19 - 9 = -2*b, 0 = -3*b - 2*a + 22. Factor 5/8 - 1/8*h**b - 1/2*h.
-(h - 1)*(h + 5)/8
Let v = -2 + 2. Let x(h) = -h**2 + 8*h - 10. Let m be x(6). Factor -2*i**m + v*i**2 - 3*i + 2*i - i.
-2*i*(i + 1)
Let b(c) be the first derivative of -7*c**6/36 - 3*c**5/10 + 5*c**4/24 + c**3/2 + c**2/6 - 652. Suppose b(d) = 0. Calculate d.
-1, -2/7, 0, 1
Suppose -3*g = 6*g - 45. Suppose 3*z = g*v - 9, -v - 4 = -z - 5. Find o such that 8/3 + 2*o**v - 16/3*o + 2/3*o**2 = 0.
-2, 2/3, 1
Let c = 313/18 + -85/6. Find r, given that -20/9*r**2 - 5/3*r**5 - 8/9*r + 0 + c*r**4 + 14/9*r**3 = 0.
-2/3, -2/5, 0, 1, 2
Find p such that 2*p**3 + 9*p**2 - 2*p + 20 - 8*p**2 - 16*p**2 - 5*p**2 = 0.
-1, 1, 10
Suppose 5*t + 256 = -y + 414, 0 = -2*t - 3*y + 58. Find a such that 64/3*a**2 + 12 + t*a = 0.
-3/4
Let r(i) be the first derivative of 2*i**5/65 - 34*i**4/13 + 1012*i**3/13 - 10580*i**2/13 - 24334*i/13 - 179. Let r(z) = 0. Calculate z.
-1, 23
Let t be ((-4)/(-8))/(3/18). Determine k, given that -k**5 - 2*k**5 - t*k**4 - 2*k**5 - 15*k**3 + 23*k**4 = 0.
0, 1, 3
Let q(m) be the third derivative of m**8/182 + 17*m**7/1365 - 3*m**6/260 - 19*m**5/390 - m**4/52 + 2*m**3/39 + 15*m**2 + 3. Solve q(r) = 0.
-1, -2/3, 1/4, 1
Let l(q) be the first derivative of -q**5/130 + q**4/26 - 4*q**2/13 - 6*q + 2. Let k(o) be the first derivative of l(o). Solve k(i) = 0.
-1, 2
Let f(l) be the first derivative of l**3/21 + 15*l**2/7 + 81*l/7 - 45. Find k, given that f(k) = 0.
-27, -3
Let x(v) be the third derivative of v**6/30 + 4*v**5/15 - 14*v**4/3 + 64*v**3/3 + 22*v**2. Solve x(r) = 0.
-8, 2
Let n = 37 + -37. Let f(i) be the third derivative of 0*i + 0 + 0*i**3 - 1/120*i**5 - 1/240*i**6 + n*i**4 + 3*i**2 + 1/672*i**8 + 1/420*i**7. Factor f(h).
h**2*(h - 1)*(h + 1)**2/2
Let 5/3*n**3 - 2/3 - 1/3*n**2 - 5/3*n + n**4 = 0. Calculate n.
-1, -2/3, 1
Factor 8*j**2 + 27*j - 2*j**3 - 7*j**2 - 13*j**2 - j + 28*j.
-2*j*(j - 3)*(j + 9)
Let l(t) be the first derivative of -t**5/12 + 5*t**4/12 - 5*t**3/6 - 15*t**2 + 17. Let m(p) be the second derivative of l(p). Factor m(z).
-5*(z - 1)**2
Let s(a) be the second derivative of a**4/12 + 3*a**3/2 - 11*a**2 + 3*a + 24. Factor s(v).
(v - 2)*(v + 11)
Let m be -1 - -11 - (-20)/5. Let y be (-6)/(-2) - (-6 - -2). Factor 8*p**2 + 2*p**2 - 2*p**2 + 3 + m*p - y.
2*(p + 2)*(4*p - 1)
Let s(n) be the first derivative of -n**6/30 + n**4/4 + n**3/3 - 3*n - 15. Let i(f) be the first derivative of s(f). Factor i(d).
-d*(d - 2)*(d + 1)**2
Suppose -4*t = -t. Suppose -2*v + 4 = -t. Factor 0 + s**2 + v*s**3 - 2 - s - s**3 + 1.
(s - 1)*(s + 1)**2
Let 36*g - 44*g**2 - 4*g**3 + 72 - 10823*g**4 + 0 + 10827*g**4 = 0. What is g?
-3, -1, 2, 3
Factor -2/3*l**2 + 28/3 + 10/3*l.
-2*(l - 7)*(l + 2)/3
Let k = 1529 + -1526. Let v be 2*81/12 + -3. Factor v*z**3 + 0 + 15/2*z**2 - k*z.
3*z*(z + 1)*(7*z - 2)/2
Let x(j) = -j**2 - 25*j - 32. Let v be x(-16). Let k = v + -110. Factor -1/2 + 3*h - 5/2*h**k.
-(h - 1)*(5*h - 1)/2
Let x be 126/33 + (0 - (-2)/11). Let -8*j**3 + 4*j**4 - 3*j**4 - 3*j**x - 2*j**3 - 8*j**2 = 0. Calculate j.
-4, -1, 0
Let h(u) be the first derivative of -2*u**2 - 2/9*u**3 - 6*u + 3. Factor h(b).
-2*(b + 3)**2/3
Let v(c) be the second derivative of 1/130*c**5 + 0 + 1/39*c**4 + 0*c**3 + 0*c**2 - 1/195*c**6 - 8*c. Factor v(q).
-2*q**2*(q - 2)*(q + 1)/13
Factor -15/7*r - 18/7 + 3/7*r**2.
3*(r - 6)*(r + 1)/7
What is v in 2*v + 6*v + 37*v**5 + 10*v - 8*v**2 + 16*v**4 - 20*v**3 - 35*v**5 - 8*v**2 = 0?
-9, -1, 0, 1
Solve 1/2*y**3 + 0 - 1/2*y + 1/6*y**2 - 1/6*y**4 = 0 for y.
-1, 0, 1, 3
Suppose -21*v - 84/5*v**2 - 36/5 - 3*v**3 = 0. Calculate v.
-4, -1, -3/5
Suppose 27*z**2 + 11*z**2 + 2517 - 12*z - 6*z**3 - 2517 = 0. 