 1/2*l**4 = 0. Calculate l.
-1, 0, 1
Let g = -108 - -111. Determine n so that 3*n**4 + 9*n**3 - 7*n**2 - 28*n**g - 2*n + 8*n**3 + 9*n**3 = 0.
-1, -1/3, 0, 2
Let m(v) be the second derivative of -v**8/1680 + v**7/210 - v**6/90 - v**4/2 + 13*v. Let j(k) be the third derivative of m(k). Factor j(i).
-4*i*(i - 2)*(i - 1)
Factor -1/4*u + 3/2*u**2 - 3/2 + 1/4*u**3.
(u - 1)*(u + 1)*(u + 6)/4
Let n(f) be the second derivative of 8*f + 2/3*f**3 + 0 + 0*f**2 + 1/12*f**4. Factor n(d).
d*(d + 4)
Let g be 3/((-26)/8 + 4). Let -10*h**4 - g*h**3 - 6*h**5 - h + 10*h**2 + 11*h**5 + 2*h**4 - 2 = 0. What is h?
-1, -2/5, 1
Let l be 5264/525 - (15 + -5). Let n(y) be the third derivative of 0*y + l*y**5 + 0*y**4 + 0*y**3 + y**2 + 0 + 1/300*y**6. Factor n(v).
2*v**2*(v + 4)/5
Let u(r) be the third derivative of r**5/105 - 5*r**4/14 + 24*r**3/7 - 15*r**2 + 7. Solve u(z) = 0 for z.
3, 12
Let w(r) be the second derivative of 9*r**5/110 + 7*r**4/22 - 12*r**2/11 - 23*r - 1. Factor w(q).
6*(q + 1)*(q + 2)*(3*q - 2)/11
Let f be (-4)/(-1)*(-21)/4. Let s be -1*72/f - 9/21. Solve -8/3*h**2 + 4/3*h**4 - 2/3*h - 2/3*h**5 + 4/3 + 4/3*h**s = 0 for h.
-1, 1, 2
Let u(a) be the third derivative of a**6/24 + a**5/3 + 5*a**4/24 - 5*a**3 + 46*a**2 - 1. Factor u(q).
5*(q - 1)*(q + 2)*(q + 3)
Suppose -2/9*m**2 + 2/9*m**4 + 4/9*m**3 - 4/9*m + 0 = 0. What is m?
-2, -1, 0, 1
Let 0*x + 1/2*x**3 + 0*x**2 - 1/2*x**4 + 0 = 0. What is x?
0, 1
Let o = 154/565 + -2/339. Suppose 2/15*t**2 + o*t - 2/5 = 0. Calculate t.
-3, 1
Let q(h) be the first derivative of 0*h + 1/12*h**4 + 2 - 2*h**2 - 1/24*h**5 + 1/120*h**6 - 1/12*h**3. Let t(k) be the second derivative of q(k). Factor t(o).
(o - 1)**2*(2*o - 1)/2
Let t = -22 + 24. Factor 5*s**5 - 5*s**3 + 7*s**4 - t*s**4 - 5*s**2 + 29 - 29.
5*s**2*(s - 1)*(s + 1)**2
Suppose 3*l + 1 = -8, -3*v + 204 = 2*l. Suppose -v*p - 12 = -74*p. Factor -1/2 + 1/2*z**p - 1/2*z + 1/2*z**2.
(z - 1)*(z + 1)**2/2
Let q(l) be the first derivative of 144*l**4 - 608*l**3 + 146*l**2 - 12*l + 62. Factor q(p).
4*(p - 3)*(12*p - 1)**2
Let m(h) be the first derivative of -h**5/420 + h**3/42 - 2*h**2 + 4. Let r(x) be the second derivative of m(x). Factor r(i).
-(i - 1)*(i + 1)/7
Let c(i) = 3*i + 16. Let j be c(-4). Determine v so that -6*v**4 - 4*v - 10*v**2 + 447*v**3 - 373*v**3 - 6*v**4 - 48*v**j = 0.
-1/6, 0, 2/5, 1
Let c(a) be the first derivative of -a**4/16 + a**3/3 + 34. Suppose c(b) = 0. What is b?
0, 4
Let f(m) = -m**3 - 2*m**2 - 8. Let g(y) = -10*y**3 - 20*y**2 - 70. Let n(v) = 35*f(v) - 4*g(v). Factor n(t).
5*t**2*(t + 2)
Let r = -15 + 19. Suppose -5 - 3 = -r*h. Factor 4*l + 0*l**h + l**2 - 2*l**2 + 3*l**2.
2*l*(l + 2)
Solve 208/9*s + 70/3 - 2/9*s**2 = 0.
-1, 105
Let a(g) be the second derivative of 3*g**6/35 - 37*g**5/35 + 61*g**4/42 + 116*g**3/21 - 4*g**2 - 539*g. Suppose a(c) = 0. Calculate c.
-1, 2/9, 2, 7
Let l(t) be the third derivative of -t**8/1680 + t**7/175 - 13*t**6/600 + t**5/25 - t**4/30 + 16*t**2 + 5. Factor l(i).
-i*(i - 2)**2*(i - 1)**2/5
Suppose 4*m - 425 = 9*m. Let q be (m/(-50))/((-2)/(-16)). Solve -16/5*k**4 + 48/5*k - 12/5*k**3 + q*k**2 - 16/5 = 0.
-2, -1, 1/4, 2
Let w(g) be the third derivative of 1/36*g**4 - 1/540*g**5 + 34*g**2 + 0 + 7/54*g**3 + 0*g. What is n in w(n) = 0?
-1, 7
Let l = 722/5 + -144. Let n(v) be the first derivative of 5 + l*v - 2/15*v**3 - 1/20*v**4 + 1/10*v**2. Determine o so that n(o) = 0.
-2, -1, 1
Let g = 1911 + -9553/5. Factor -2/5*q**4 + 0 - g*q - 6/5*q**2 - 6/5*q**3.
-2*q*(q + 1)**3/5
Let s(z) be the first derivative of z**5/3 + 10*z**4/3 + 35*z**3/3 + 15*z**2 + 13. Solve s(a) = 0.
-3, -2, 0
Let m(p) be the first derivative of -7*p**3/18 + p**2 + 9*p/2 - 800. Factor m(u).
-(u - 3)*(7*u + 9)/6
Let t = 268/21 - 37/3. Factor -3/7*i**2 + 3/7*i - t*i**3 + 3/7.
-3*(i - 1)*(i + 1)**2/7
Let l(y) = y**3 + 20*y**2 - 221*y + 88. Let x be l(-28). What is m in -1/2*m**x + 1/2*m**5 - 3/2*m**3 + m + 0 + 1/2*m**2 = 0?
-1, 0, 1, 2
Let d(a) be the first derivative of 10*a**3/39 + 42*a**2/13 + 128*a/13 - 496. Factor d(i).
2*(i + 2)*(5*i + 32)/13
Let t(d) = d**2 - 20*d - 7. Let y(c) = 2*c + 1. Let k(b) = 4*t(b) + 28*y(b). Factor k(u).
4*u*(u - 6)
Suppose -16 = 21*l - 58. Let q(f) be the first derivative of 1 + 1/4*f + 7/12*f**3 - 3/16*f**4 - 5/8*f**l. Let q(t) = 0. Calculate t.
1/3, 1
Let n(y) be the first derivative of -166375*y**4/16 - 3025*y**3/2 - 165*y**2/2 - 2*y - 53. Let n(p) = 0. What is p?
-2/55
Let w = 1473 - 5889/4. Determine l, given that -3/2*l**4 - 5/2*l**2 + 0 + 3*l**3 + w*l + 1/4*l**5 = 0.
0, 1, 3
Let p(v) be the first derivative of -16*v**6/9 - 624*v**5/5 - 4315*v**4/2 + 45004*v**3/9 + 4540*v**2 + 1200*v - 314. Let p(l) = 0. What is l?
-30, -1/4, 2
Let 2116/7 + 1/7*z**2 - 92/7*z = 0. Calculate z.
46
Let d(a) be the third derivative of -a**6/30 + 7*a**5/30 + a**4/3 + 15*a**2. Determine m so that d(m) = 0.
-1/2, 0, 4
Let i be (-1 - -2)*(-6)/(-2). Suppose 15 = -5*v + 3*v - 5*a, 0 = 4*v + 4*a. Determine x so that -v*x**3 + 4*x**i - x**3 = 0.
0
Let s = 198215/13 + -15247. Let j = 196/767 - 6/59. Factor s*o + j*o**2 + 2/13.
2*(o + 1)**2/13
Let l = -2547 - -10191/4. Find x, given that -l*x - 1/2 - 1/4*x**2 = 0.
-2, -1
Suppose 4*u - 200 = 24. Let v = u - 53. Solve -4/7*y + 26/7*y**2 - 2*y**5 - 54/7*y**v + 0 + 46/7*y**4 = 0.
0, 2/7, 1
Suppose -5*q - 3*o + 1195 = 0, -4*q + 956 = 3*o - 6*o. Let m(b) = 2*b + 3. Let i be m(0). Let -3*a + a + q*a**i - 237*a**3 = 0. Calculate a.
-1, 0, 1
Let r(w) be the first derivative of -14*w**3/3 - 59*w**2 - 48*w + 200. Factor r(g).
-2*(g + 8)*(7*g + 3)
Let a(b) be the third derivative of -b**7/70 - 17*b**6/40 + 37*b**5/20 - 19*b**4/8 + 87*b**2. Factor a(c).
-3*c*(c - 1)**2*(c + 19)
Let s(d) be the first derivative of 1/4*d**4 - 1/3*d**3 + 0*d**5 - 1 - 5*d - 1/30*d**6 + 0*d**2. Let x(k) be the first derivative of s(k). Factor x(a).
-a*(a - 1)**2*(a + 2)
Let g be -3 + (1 - 21/(-9)). Let x(c) be the first derivative of c**4 + 1/3*c**6 + c**5 + 0*c**2 + g*c**3 + 0*c - 3. Factor x(i).
i**2*(i + 1)**2*(2*i + 1)
Let h(p) be the second derivative of -p**5/50 + 2*p**4/3 - 12*p**3/5 + 139*p - 2. Factor h(q).
-2*q*(q - 18)*(q - 2)/5
Let a(q) = q**3 + 20*q**2 + q + 37. Let b be a(-20). Let j = b - 17. Factor 0*r + 2/7*r**3 + 2/7*r**2 + j.
2*r**2*(r + 1)/7
Let z(g) be the first derivative of 5*g**4/3 - 14*g**3/3 + 4*g**2 + 3*g - 9. Let k(n) be the first derivative of z(n). Factor k(c).
4*(c - 1)*(5*c - 2)
Let m(r) be the second derivative of 1/42*r**7 + 2/3*r**3 + 0 - 2*r**2 - 1/4*r**5 + 4*r + 5/12*r**4 - 1/30*r**6. Let m(g) = 0. Calculate g.
-2, -1, 1, 2
Let f(p) be the second derivative of 0 + 1/80*p**5 - 1/24*p**3 + 1/8*p**2 - 2*p - 1/48*p**4. Let f(q) = 0. What is q?
-1, 1
Let b(k) = -k**3 + k**2 + 1. Let x(w) = w**4 - 8*w**3 + 9*w**2 + 4*w - 5. Let a(r) = -3*b(r) + x(r). Determine z, given that a(z) = 0.
-1, 2
What is u in -28*u**2 - 42*u**2 + 34 + 68*u**2 - 32*u = 0?
-17, 1
Let w(u) = -5*u**2 + 68*u + 16. Let v(r) = -6*r**2 + 69*r + 20. Let d(b) = -4*v(b) + 5*w(b). What is z in d(z) = 0?
0, 64
Let v(a) be the third derivative of -a**5/30 + 2*a**4/3 - 46*a**2. Let g(k) = k**2. Let d(m) = -2*g(m) + v(m). Let d(h) = 0. Calculate h.
0, 4
Let m(r) be the third derivative of -29*r**8/336 + 9*r**7/70 + 89*r**6/120 - 139*r**5/60 + 2*r**4 + 2*r**3/3 + 2*r**2 - 32. Solve m(u) = 0 for u.
-2, -2/29, 1
Let f = 5133 - 5124. Factor 6*r**2 - 3/2*r**5 - 15/2*r**4 + 12*r - f*r**3 + 0.
-3*r*(r - 1)*(r + 2)**3/2
Let u be 48/72*(0 - -3). Let w be (-2)/(-3)*(u + 1). Determine j, given that 6*j**w + 8*j - 3 - j**3 - 2*j**4 + 0*j**2 - 3*j**3 - 5 = 0.
-2, 1
Solve 17/2*o**2 + 20*o + 21/2 - o**3 = 0.
-1, 21/2
Let o(w) be the second derivative of w**8/30240 + w**7/5670 - w**6/3240 - w**5/270 + 53*w**4/12 - 58*w. Let c(d) be the third derivative of o(d). Factor c(r).
2*(r - 1)*(r + 1)*(r + 2)/9
Suppose -3*t + 33 = -3*v, -4*t + 3*v - 5*v + 14 = 0. Let d = t + -6. Find s such that -1/4*s**5 + 0*s**3 + 0 - 1/4*s**4 + d*s**2 + 0*s = 0.
-1, 0
Let v = -23 - -35. What is r in 7*r**2 + 2*r**2 - v*r**2 + 4*r**4 + 5*r**4 - 6*r + 12*r**3 = 0?
-1, 0, 2/3
Let j(i) be the second derivative of -i**4/6 + i**3/2 + i**2 - 47*i - 2. Suppose j(l) = 0. Calculate l.
-1/2, 2
Let o**3 + 16*o**2 - 25*o**2 - 15*o**2 + 676*o - 2*o**2 - 26*o**2 = 0. Calculate o.
0,