17/5*q + 1/5*q**2.
-(q - 1)**2*(q + 3)*(q + 4)/5
Let r(y) be the second derivative of y**6/10 - 3*y**5/4 - 11*y**4/2 - 8*y**3 - y - 6. Factor r(t).
3*t*(t - 8)*(t + 1)*(t + 2)
Let h(z) = z**2 + 7*z - 2. Let x be h(-2). Let q be 0 + (x/7)/((-99)/154). Factor -4*y + 4/3*y**2 + q.
4*(y - 2)*(y - 1)/3
Let z(s) be the first derivative of s**6/6 - 11*s**5/15 + 7*s**4/6 - 2*s**3/3 - s**2/6 + s/3 + 61. Let z(b) = 0. Calculate b.
-1/3, 1
Factor 25/2*s**2 - 15/4*s**3 - 15/4*s + 0.
-5*s*(s - 3)*(3*s - 1)/4
Let m(d) = -d**3 + 33*d**2 + 121*d + 131. Let o(p) = -p**3 + p - 1. Let k(q) = m(q) - 4*o(q). Factor k(s).
3*(s + 3)**2*(s + 5)
Suppose q + 0 - 4 = 0, 2*v - 4*q = 26. Factor 24*y**2 - 51*y + 48*y**3 - 16*y + 3*y**5 - 48 + 19*y + v*y**4.
3*(y - 1)*(y + 2)**4
Let p be (((-279)/100)/((-6)/4))/(-3). Let z = -3/25 - p. Factor -1/4*y + 3/4*y**3 + 0 + z*y**2.
y*(y + 1)*(3*y - 1)/4
Let o be (-6)/(-4) - 50/(-4). Factor 70*x**2 - 38*x**2 + 12 - 30*x**2 - o*x.
2*(x - 6)*(x - 1)
Suppose -3 = -4*t + q + 8, -2*t - 5*q = -33. Suppose 24 = t*h + 2*h. Factor -5*c**2 + 6*c - 4 - c + h*c**2.
-(c - 4)*(c - 1)
Let z = -254/7 + 2801/77. Let t(q) be the first derivative of -5 + 0*q + z*q**2 - 1/22*q**4 + 0*q**3. What is w in t(w) = 0?
-1, 0, 1
Let t(z) be the first derivative of z**4/8 + z**3/3 + z**2/4 - 44. Suppose t(i) = 0. What is i?
-1, 0
Let m be ((-126)/70 - -2) + 4. Suppose 3*g = -2*v - 2, 2*v - 5*g - 25 = 5. Solve 48/5*f**v - 69/5*f**3 + 21/5*f**2 + m*f - 24/5*f**4 + 3/5 = 0 for f.
-1, -1/4, 1
Let v = 32 + -25. Solve -2*p + v*p**3 + p**5 + 7*p**5 + 13*p**3 + 5*p**2 - 35*p**4 + 4*p**5 = 0.
-1/3, 0, 1/4, 1, 2
Let j(g) be the third derivative of -g**5/140 - 43*g**4/56 + 22*g**3/7 - 2*g**2 - 2. Suppose j(y) = 0. What is y?
-44, 1
Let 3*a + a**4 + 10*a**2 + 0 - 31/4*a**3 = 0. Calculate a.
-1/4, 0, 2, 6
Let g(l) be the second derivative of 0 + 0*l**3 - 1/108*l**4 - 8*l - 1/270*l**6 - 1/90*l**5 + 0*l**2. Factor g(s).
-s**2*(s + 1)**2/9
Let v(i) be the first derivative of 1/7*i**3 + 9/7*i - 6/7*i**2 - 8. Factor v(l).
3*(l - 3)*(l - 1)/7
Let r(m) = m. Let h be r(5). Let f be (45 - h)*(-6)/(-15). Suppose -8 + 18*p**3 + 2*p**2 - 20*p + 4*p**2 - 12*p + f*p = 0. Calculate p.
-2/3, 1
Let w(l) be the third derivative of -l**6/1200 + 7*l**5/600 + l**4/60 - 7*l**3/15 - 321*l**2. Factor w(q).
-(q - 7)*(q - 2)*(q + 2)/10
Let c(h) be the third derivative of h**7/8820 + h**6/840 - h**5/105 + 7*h**4/8 - 2*h**2. Let g(b) be the second derivative of c(b). Factor g(z).
2*(z - 1)*(z + 4)/7
Factor 2*b**3 + 36/7 - 4/7*b**2 - 18*b.
2*(b - 3)*(b + 3)*(7*b - 2)/7
Suppose -16 = 4*v, 2*w - v + 6 = 18. Let g(j) be the third derivative of 0 + 0*j**w + 0*j**3 + 0*j - 1/180*j**5 + 7*j**2 + 1/360*j**6. Factor g(m).
m**2*(m - 1)/3
Let d = 65 + -58. Let g be (-3)/2*12/(-9). Determine v, given that -20*v**2 + 6 + d*v - 4*v - 3*v**3 + 14*v**g = 0.
-2, -1, 1
Suppose 51 = 3*c + 12. Let k = c + -9. Factor -2*q**3 + 0*q**5 + 9*q**2 + q**k + 2 - 3*q**4 - q**2 + q**5 - 7*q.
(q - 1)**4*(q + 2)
Let k be (-97)/(-291) - (2 + -2). Solve -1/3*b**4 - 1/3*b**3 + 1/3*b + 0 + k*b**2 = 0.
-1, 0, 1
Let k(w) be the first derivative of -w**3/12 + 2*w**2 - 16*w + 281. Factor k(f).
-(f - 8)**2/4
Let p(d) be the first derivative of 2*d**2 + 6*d**4 + 7*d**3 - 15*d**3 + 9 + 3*d**4. Factor p(r).
4*r*(3*r - 1)**2
Suppose -86*v + 64 = -70*v. Let n(z) be the third derivative of 0*z**3 - 1/20*z**5 + 1/8*z**v - 1/40*z**6 + 1/70*z**7 + 0 + 0*z - 6*z**2. Solve n(o) = 0 for o.
-1, 0, 1
Let q(i) be the third derivative of 19*i**5/270 + i**4/12 - 10*i**3/27 + 45*i**2 + 2*i. Factor q(c).
2*(c + 1)*(19*c - 10)/9
Let z(b) be the first derivative of 30 + 8*b - 13/3*b**2 + 2/9*b**3. Factor z(x).
2*(x - 12)*(x - 1)/3
Let d be (-1 + -3)/(-2 + 0). Determine g so that -3*g - 4*g**d - 3*g**3 - 3*g**2 + g**2 = 0.
-1, 0
Let f(v) be the second derivative of -3*v**5/20 + 29*v**4/4 - 112*v**3 + 294*v**2 - 524*v + 2. Suppose f(i) = 0. What is i?
1, 14
Let t(v) be the second derivative of -v**4/12 - 7*v**3/6 + v - 28. Factor t(u).
-u*(u + 7)
Let u be (-4)/14 - (-32)/14. Suppose 3*x + 4 = f + 4*f, -u*f = -4. Suppose -3*d**4 + 4*d - 2*d - 7*d**3 - 5*d**x + d - 4*d**3 = 0. Calculate d.
-3, -1, 0, 1/3
Let z(p) be the first derivative of 1/18*p**6 + 1/3*p**2 + 1/9*p**3 + 5 - 1/4*p**4 + 0*p - 1/15*p**5. Find g, given that z(g) = 0.
-1, 0, 1, 2
Let w(o) be the first derivative of -26*o**3/27 - 37*o**2/9 + 4*o/3 - 172. Factor w(b).
-2*(b + 3)*(13*b - 2)/9
Let r(j) = -6*j**2 + 328*j + 6125. Let n(m) = m**2 - 66*m - 1225. Let d(l) = 11*n(l) + 2*r(l). Factor d(a).
-(a + 35)**2
Find r, given that 155*r - 20*r**4 - 18*r**2 + 199*r**3 - 69*r**3 + 38*r**2 - 167*r**2 - 40 - 5*r**5 - 73*r**2 = 0.
-8, 1
Factor 0 - 70*q**3 - 55/2*q**2 - 75/2*q**4 + 5*q.
-5*q*(q + 1)**2*(15*q - 2)/2
Let w = 25967/28 + -6490/7. Factor w*s**3 - 1/4*s**4 + 1/2 + 3/4*s**2 - 5/4*s.
-(s - 1)**3*(s + 2)/4
Let n(d) be the second derivative of -3*d**6/2 + 25*d**5/4 - 5*d**4 - 10*d**3/3 - 3*d + 36. Factor n(a).
-5*a*(a - 2)*(a - 1)*(9*a + 2)
Factor 0 - 22*o**3 - 1/4*o**5 + 48*o**2 + 4*o**4 - 36*o.
-o*(o - 6)**2*(o - 2)**2/4
Let h be -1 + (-50)/(-22) - 0/5*-1. Determine a, given that 12/11*a - h + 2/11*a**2 = 0.
-7, 1
Let d = 7 + -3. Suppose d*q - 5*p + 9 = 0, 7*p = 2*q + 5*p + 2. Let -4*k**2 - 2*k + q*k**2 - k - 3*k**2 = 0. What is k?
-1, 0
Let a = -2/715 + 191/17160. Let b(y) be the second derivative of -1/18*y**4 - 1/9*y**3 + 0 - a*y**5 + 0*y**2 + 4*y. Factor b(z).
-z*(z + 2)**2/6
Let w(g) be the first derivative of -2*g**6 - 63*g**5/5 - 123*g**4/4 - 37*g**3 - 45*g**2/2 - 6*g + 220. Find r such that w(r) = 0.
-2, -1, -1/4
Let p(u) = u**3 - 5*u**2 - 7*u + 13. Let g be p(6). Suppose -a = 6*a - g. Find i such that 2*i**2 - 1/2*i**3 + a - 5/2*i = 0.
1, 2
Let k be (1/(-2)*3)/(48/(-416)). Let b(p) be the second derivative of k*p + 1/2*p**4 + 0 + 0*p**3 - 2/5*p**5 + 0*p**2 + 1/15*p**6. Suppose b(y) = 0. What is y?
0, 1, 3
Suppose 2*c - 3*d + 9 = 5*c, -2*c = -d - 9. Determine f, given that -4*f**5 + 8*f**3 + 2*f**5 - 2*f**c + 8*f**2 + 0*f**5 = 0.
-2, -1, 0, 2
Let o(j) be the third derivative of j**8/3024 + j**7/1890 - j**6/216 + j**5/180 - j**2 + 12. What is q in o(q) = 0?
-3, 0, 1
Suppose 5*q + 148 = 3*y, 2*y + 0*q - 2*q - 92 = 0. Let 12*f + f**4 - y - 9*f**2 - 12*f**3 - 4*f**4 + 53 = 0. Calculate f.
-2, -1, 1
Let d(p) = -9*p - 4*p + 15*p + 3*p**4 - p**2 + 2 - 2*p**3. Let t(n) = -n**4 - 1. Let w(x) = -d(x) - 2*t(x). Determine y so that w(y) = 0.
-1, 0, 1, 2
Let s(i) = -6 + 5 - 2*i**3 + i**2 + 0*i**2 + i**3. Let x(q) = 2*q**3 - 6*q**2 - 4*q**2 + 4 + 4*q**3. Let h(o) = 4*s(o) + x(o). Factor h(r).
2*r**2*(r - 3)
Let k(b) be the third derivative of 3/4*b**3 - 3*b**2 + 1/80*b**6 + 0 - 5/16*b**4 + 0*b + 1/40*b**5. Find j such that k(j) = 0.
-3, 1
Suppose 20 = 5*p - 2*x, 3*p + 8*x = 3*x + 12. Suppose -8/7 - 18*i**5 + 142/7*i**3 + 18*i**2 - 16/7*i - 118/7*i**p = 0. What is i?
-1, -2/9, 2/7, 1
Solve 23*m**4 - 20*m**2 + 4*m**5 + 30*m - 6*m - 26*m**3 - 3*m**4 - 2*m**3 = 0 for m.
-6, -1, 0, 1
Let c(d) be the first derivative of 1/35*d**5 + 0*d + 1/21*d**3 + 1/14*d**4 + 0*d**2 - 24. Factor c(h).
h**2*(h + 1)**2/7
Find v, given that 20/3*v - 2/3*v**3 - 16/3 - 2/3*v**2 = 0.
-4, 1, 2
Let c be (-3)/(-5) + (-1 - (-4179)/35). Let z = 122 - c. Factor 0*w + 3/5*w**4 + 0 + 1/5*w**2 - 1/5*w**5 - 3/5*w**z.
-w**2*(w - 1)**3/5
Let r(t) be the second derivative of t**6/540 + t**5/270 - 13*t**2/2 - t. Let d(k) be the first derivative of r(k). Factor d(c).
2*c**2*(c + 1)/9
What is k in 1/2 - 3/4*k**2 + 1/4*k - 1/4*k**3 + 1/4*k**4 = 0?
-1, 1, 2
Let u(a) = -2*a**2 - 40*a - 292. Let k(b) = -4*b**2 - 78*b - 585. Let x(v) = -4*k(v) + 9*u(v). Factor x(m).
-2*(m + 12)**2
Let o(c) = 2 + 4*c**2 + 3 - 7*c - 5*c - 2*c**2. Let q(t) = -t**2 + 6*t - 3. Let y(n) = -6*o(n) - 13*q(n). Factor y(m).
(m - 3)**2
Let k(v) = 2*v**2 + 20*v + 12. Let t be k(-10). Determine m, given that 0*m + 8 - 21 + 1 + t*m - 3*m**2 = 0.
2
Suppose 0 = 121*h - 170 - 193. Let 0 - 2*y + 5/3*y**h + 13/3*y**2 = 0. Calculate y.
-3, 0, 2/5
Solve 2/9*w**4 + 0*w + 0*w**3 - 2/9*w**2 + 0 = 0.
-1, 0, 1
Let n(k) = 21*k**2 + 90*k + 19. Let f(p) = -p**3 + 6*p**2 - 4*p - 4. Let h be f(5). Let x(v) = 1. Let z(q) = h*n(q) + 5*x(q). Factor z(s).
3*(s + 4)*(7*s + 2)
Let l(h) be the first deri