w = 0 + 2. Let h be 6 + ((-1422)/1106)/((-6)/(-26)). Factor 0 + 3/7*z**w + h*z.
3*z*(z + 1)/7
Let g = 2/8937 + 8923/62559. What is c in -g*c**4 + 1/7*c**2 + 0 - 1/7*c + 1/7*c**3 = 0?
-1, 0, 1
Let v = -160 + 165. Let x(o) be the first derivative of -1/5*o**2 + 0*o + 2/15*o**3 - 2/25*o**v + 1 + 1/10*o**4. What is q in x(q) = 0?
-1, 0, 1
Suppose 12*z = f + 14*z + 5, 5*z + 14 = -2*f. Let h(t) be the third derivative of 0*t - 1/14*t**4 - 3/7*t**f + 3*t**2 - 1/210*t**5 + 0. Factor h(q).
-2*(q + 3)**2/7
Let z be (3/(-9))/((-2)/18). Let u be z*(-2)/6*-4. Factor 4*a - 5 + u + 1 - 4*a**2.
-4*a*(a - 1)
Let r be 6 + -4 + 3/3. Suppose 14 = r*l + 8. Factor -2*n + 2*n**l - 2*n + 8*n.
2*n*(n + 2)
Let d(c) be the second derivative of c**4/30 - 316*c**3/15 + 24964*c**2/5 - 65*c. Find l, given that d(l) = 0.
158
Let z(p) be the third derivative of 19*p**2 + 1/15*p**5 + 0 + 0*p + 0*p**3 - 1/30*p**6 + 0*p**4. Let z(h) = 0. Calculate h.
0, 1
Suppose -5*t - 5*r + 270 = 0, 0 = -t + r + 2*r + 42. Let v = 18 - 16. Factor 2*x - x - t*x**v + 52*x**2.
x*(x + 1)
Let s(m) be the second derivative of -9*m - 9/19*m**2 - 71/57*m**4 + 25/399*m**7 - 7/19*m**6 + 0 + 87/95*m**5 + m**3. Factor s(f).
2*(f - 1)**3*(5*f - 3)**2/19
Let h(p) be the third derivative of -p**6/240 - 7*p**5/40 - 49*p**4/16 - 343*p**3/12 + p**2 + 24. Solve h(t) = 0.
-7
Let c(o) be the third derivative of -1/840*o**7 - 1/8*o**4 - 2*o**2 - 1/80*o**6 - 13/240*o**5 + 0 - 1/6*o**3 + 0*o. Determine k so that c(k) = 0.
-2, -1
Let u(q) = 26*q**2 + 35*q - 8. Let m(s) = 9*s**2 + 12*s - 3. Let b(p) = -17*m(p) + 6*u(p). Factor b(v).
3*(v + 1)**2
Find j, given that 2/7*j**4 - 16/7*j - 2/7*j**3 - 20/7*j**2 + 0 = 0.
-2, -1, 0, 4
Let d(m) = m**2 - 10*m + 28. Let p be d(4). Suppose -p*t = -8*t + 8. Factor 2/3*s - 1/3*s**t - 1/3*s**3 + 0.
-s*(s - 1)*(s + 2)/3
Suppose -c - 5*q + 969 - 937 = 0, q = 3*c. Find x, given that -8/7*x**c - 4/7 + 12/7*x = 0.
1/2, 1
Let c(r) be the second derivative of r**7/2520 - r**6/864 - r**5/720 - r**4/3 - 7*r. Let g(h) be the third derivative of c(h). Factor g(a).
(a - 1)*(6*a + 1)/6
Let o = 107 + -213/2. Let k(m) be the first derivative of 0*m**4 - 6/5*m**5 - o*m**6 + 0*m + 3/2*m**2 + 2*m**3 + 5. Solve k(h) = 0 for h.
-1, 0, 1
Let t(p) be the second derivative of p**4/12 + 7*p**3/6 + 5*p**2 + 253*p. Factor t(x).
(x + 2)*(x + 5)
Suppose -48*h**3 - 35*h**2 + 2*h**5 + 41*h**2 + 64*h - 10*h**4 - 14*h**2 = 0. Calculate h.
-2, 0, 1, 8
Let l = -262 - -262. Factor 0 + l*d - 2/19*d**3 - 2/19*d**2.
-2*d**2*(d + 1)/19
Let f(q) be the first derivative of 2*q**3/11 + 118*q**2/11 - 160*q/11 + 397. Factor f(z).
2*(z + 40)*(3*z - 2)/11
Let j(f) be the first derivative of -f**4 - 20*f**3/3 - 8*f**2 - 281. Solve j(r) = 0.
-4, -1, 0
Let k(o) be the second derivative of 2*o**7/21 + 4*o**6/15 - 3*o**5/5 - 8*o**4/3 - 8*o**3/3 - 2*o - 24. Factor k(w).
4*w*(w - 2)*(w + 1)**2*(w + 2)
Let l = -114873/80 + 1436. Let n(g) be the third derivative of -1/20*g**5 + 5*g**2 + 0 + l*g**6 + 0*g**3 + 0*g**4 + 0*g - 1/28*g**7. Let n(q) = 0. What is q?
0, 2/5, 1
Let j = 138 - 135. Let m(r) be the first derivative of 3/4*r + 0*r**2 - 1/4*r**j - 4. Let m(f) = 0. What is f?
-1, 1
Let l(o) be the first derivative of -o**8/1008 + o**7/630 + o**6/72 + o**5/60 - 18*o**2 - 27. Let w(i) be the second derivative of l(i). Factor w(u).
-u**2*(u - 3)*(u + 1)**2/3
Let p(b) = -3. Let h(f) = -f**3 - f**2 + f + 14. Let w(m) = 4*h(m) + 22*p(m). Let s(a) = 3*a**3 + 3*a**2 - 3*a + 9. Let y(g) = -7*s(g) - 6*w(g). Factor y(i).
3*(i - 1)*(i + 1)**2
Let o = -1003 + 1003. Let s(j) be the third derivative of -10*j**2 + 0*j + 1/35*j**7 + 1/12*j**6 + 0*j**3 + 1/15*j**5 + 0*j**4 + o. Factor s(a).
2*a**2*(a + 1)*(3*a + 2)
Let c be (-2)/5 + (-12)/(-5). Suppose -11 = -c*i - 7. Let -5*u - 40*u**i + 55*u**3 + 11*u**4 - 15*u - 26*u**4 = 0. Calculate u.
-1/3, 0, 2
Let c = 302 + -302. Let z(f) be the third derivative of -1/150*f**5 + 0*f + 0 + c*f**6 + 0*f**4 + 1/30*f**3 + 1/1050*f**7 + 4*f**2. Factor z(a).
(a - 1)**2*(a + 1)**2/5
Let r(i) = 5*i**2 + 5*i - 7. Let t(o) = 56*o**2 + 54*o - 76. Let u(v) = 70*v + 2. Let p be u(-1). Let a(d) = p*r(d) + 6*t(d). What is m in a(m) = 0?
-5, 1
Let j(a) be the third derivative of -a**8/3360 - a**7/420 - a**6/120 - a**5/60 - 13*a**4/24 + 17*a**2. Let v(f) be the second derivative of j(f). Factor v(b).
-2*(b + 1)**3
Factor -19 - 4159*d + 0*d**2 + 4139*d - d**2.
-(d + 1)*(d + 19)
Let i(t) be the third derivative of -4*t**7/15 + 41*t**6/60 - 11*t**4/12 - 2*t**3/3 + 284*t**2. Find n such that i(n) = 0.
-2/7, -1/4, 1
Find i such that 7/6*i**4 - 1/3*i + 1/3*i**3 - 7/6*i**2 + 0 = 0.
-1, -2/7, 0, 1
Let s = 30531 + -30531. Determine f, given that 3/5*f**5 + 9/5*f**3 - 9/5*f**4 + s*f - 3/5*f**2 + 0 = 0.
0, 1
Let l be 72/33 + ((-12)/15)/(220/50). Factor -4/5 + 2/5*w**l - 2/5*w.
2*(w - 2)*(w + 1)/5
Let z(d) = 34*d**4 + 20*d**3 + 164*d**2 + 160*d - 12. Let k(h) = 3*h**4 - h**3 + h**2 - 1. Let i(w) = -12*k(w) + z(w). Factor i(l).
-2*l*(l - 20)*(l + 2)**2
Suppose 28 = 14*g - 0. Suppose -4/7*z**3 + 0 - 4/7*z - 10/7*z**g = 0. Calculate z.
-2, -1/2, 0
Let p(v) be the second derivative of -2*v**7/7 + 17*v**6/10 + 6*v**5/5 - 59*v**4/4 + 23*v**3 - 12*v**2 - 161*v + 2. Suppose p(g) = 0. Calculate g.
-2, 1/4, 1, 4
Let x(l) be the second derivative of -11/72*l**4 - 1/12*l**3 - 1/36*l**6 + 0 + 0*l**2 - 2*l + 19/120*l**5. Suppose x(q) = 0. What is q?
-1/5, 0, 1, 3
Let h(j) = 2*j**3 - 57*j**2 - 834*j + 1922. Let m(n) = -n**3 - n**2 - n. Let b(a) = -5*h(a) - 15*m(a). Factor b(q).
5*(q - 2)*(q + 31)**2
Let w(v) be the second derivative of -3*v**5/40 + v**4/8 + 5*v**3 + 6*v + 3. Suppose w(a) = 0. What is a?
-4, 0, 5
Let l = 9 - 4. Factor 10*w**2 - 5*w - 12*w + 12*w - l*w**3.
-5*w*(w - 1)**2
Let k(p) be the third derivative of p**5/480 + 3*p**4/64 - 95*p**2. What is d in k(d) = 0?
-9, 0
Let y(g) be the third derivative of g**5/30 - 19*g**4/12 - 14*g**3 + g**2 + 403*g. Factor y(q).
2*(q - 21)*(q + 2)
Let z be 8/(-60)*-5*-3. Let f(v) = -22*v + 2. Let r(s) = s**2 + 44*s - 5. Let o(n) = z*r(n) - 5*f(n). Factor o(y).
-2*y*(y - 11)
Suppose 3*p + 4 = 2*p, 3*b + 2*p + 2 = 0. Factor -13 + h + 1 + b*h**2 + 5*h - 16*h.
2*(h - 6)*(h + 1)
Let t = 49 - 19. Factor t*l**2 + 8 + 35*l + 3 - 6.
5*(l + 1)*(6*l + 1)
Let x be 70/(-140) - (-2)/4. Let f(v) be the third derivative of 1/200*v**6 + 0*v - 1/20*v**4 + 0 - 1/100*v**5 + x*v**3 - 12*v**2. Find m, given that f(m) = 0.
-1, 0, 2
Let 40/7*t**5 - 144/7*t + 194/7*t**4 - 54/7 + 232/7*t**3 - 12/7*t**2 = 0. Calculate t.
-3, -1, -3/5, 3/4
Suppose -3*s + 150 = 3*s. What is z in 25 - z**5 - s + 4*z**3 = 0?
-2, 0, 2
Let u(z) be the third derivative of -z**11/1164240 + z**9/70560 - z**8/35280 - z**5/6 + 4*z**2. Let t(x) be the third derivative of u(x). Factor t(k).
-2*k**2*(k - 1)**2*(k + 2)/7
Let z = 5191/5 - 1038. Determine f so that -1/5*f**2 + z*f**4 - 1/5*f + 0 + 1/5*f**3 = 0.
-1, 0, 1
Let b(y) be the second derivative of -2*y**6/195 - 31*y**5/130 - 55*y**4/26 - 25*y**3/3 - 125*y**2/13 + 105*y. Find x such that b(x) = 0.
-5, -1/2
Let n be 42/45 + 12/(-20) - (-20)/75. Let i be (-74)/(-90) + (-4)/18. Factor 6/5 + i*v**3 - 6/5*v**2 - n*v.
3*(v - 2)*(v - 1)*(v + 1)/5
Let q be 2/(-3) + ((-23583)/(-36))/(-7). Let h = q - -95. Factor 0 + h*s + 1/4*s**2.
s*(s + 3)/4
Let i(w) = -w**2 - 8*w - 25. Let n be i(-4). Let x be (((-12)/54)/(-2))/((-2)/n). Suppose s**3 - 3/4*s - 1/4*s**5 - x*s**4 + 1/2*s**2 + 0 = 0. Calculate s.
-3, -1, 0, 1
Let t(a) be the first derivative of 4*a**3/3 - 28*a**2 + 196*a + 62. Suppose t(z) = 0. Calculate z.
7
Suppose 1004731*c**4 - 109 - 252*c**2 - 27 - 1004727*c**4 - 332*c - 52*c**3 = 0. What is c?
-2, -1, 17
Suppose 8 = r + 2*w, 5*w - 31 = 4*r - 11. Let q(d) be the third derivative of 0*d + 5*d**2 + r + 0*d**4 + 1/12*d**3 - 1/120*d**5. Factor q(x).
-(x - 1)*(x + 1)/2
Let d(i) = -5*i**2 + 3*i + 10. Let v be d(-2). Let t be v/(-12) - 4/6. Factor 2*c + t + 2*c**2 + 2/3*c**3.
2*(c + 1)**3/3
Suppose 4*u + 83*x = 85*x + 10, 0 = 2*x + 10. Factor 3/5 + u*s - 3/5*s**2.
-3*(s - 1)*(s + 1)/5
Let v be 6 + -8 + 25/10. Let c(b) be the second derivative of v*b**2 - 4*b + 0 - 1/12*b**3 - 1/24*b**4. Find g such that c(g) = 0.
-2, 1
Let u = -395 + 398. Let o(p) be the first derivative of -4/9*p**u + 5/3*p**2 - 4/3*p + 4. Factor o(f)