 - 932*u + 4 + 4*u**2 - 967*u = 0. What is u?
-46, -1
Let n(m) be the third derivative of 0*m**5 + 0*m + 1/5*m**3 - 2 - 12*m**2 - 1/10*m**4 + 1/50*m**6 - 1/175*m**7. Factor n(z).
-6*(z - 1)**3*(z + 1)/5
Let w(o) be the second derivative of 0*o**2 + 10/3*o**4 - 6*o**3 - o - 1/5*o**5 + 63. Factor w(n).
-4*n*(n - 9)*(n - 1)
Let u = 431 + -49. Suppose -99*d = -98*d - u. Factor -151*s**2 - 264*s + d*s**2 + 36 + 253*s**2.
4*(11*s - 3)**2
Let w be (1 - -5)*((-48)/(-170) - (-54 + 31144/578)). Factor -1/5*d**2 + w + 11/5*d.
-(d - 12)*(d + 1)/5
Let q(u) = 24*u + 2 - 5*u - 4*u - 9*u. Let l(j) = -j**2 + 31*j + 11. Let i(o) = -4*l(o) + 22*q(o). Factor i(t).
4*t*(t + 2)
Let s(o) be the second derivative of 8*o**7/105 + 94*o**6/75 + 33*o**5/5 + 247*o**4/15 + 334*o**3/15 + 84*o**2/5 + 10*o - 184. Suppose s(m) = 0. What is m?
-7, -2, -1, -3/4
Let g = 5913 - 5909. Let c(u) be the third derivative of 0 + 0*u + 0*u**5 - 1/420*u**6 + 0*u**3 + 1/21*u**g - 16*u**2. Solve c(v) = 0.
-2, 0, 2
Let w(z) be the third derivative of -z**7/840 + 11*z**6/240 - 37*z**5/80 - 11*z**4/48 + 14*z**3/3 + 6*z**2 + 14*z + 3. Suppose w(x) = 0. What is x?
-1, 1, 8, 14
Let a be (6/45 + 88426/(-120))*-28. Factor a*y**2 + 21*y - 20628*y**2 + 1 - 1.
y*(y + 21)
Let c(q) = -10*q**3 - 1310*q**2 + 655*q + 660. Let j(n) = -10*n**3 - 1311*n**2 + 657*n + 660. Let a(z) = -4*c(z) + 5*j(z). Factor a(k).
-5*(k - 1)*(k + 132)*(2*k + 1)
Let n = 219077 + -219075. Factor 6*s - 2/3*s**n - 12.
-2*(s - 6)*(s - 3)/3
Let a(x) = -3*x + 33. Suppose 4 + 40 = 4*b. Let q be a(b). Let -35/3*u**2 - 10/3*u + 25/3*u**3 + 20/3*u**4 + q = 0. What is u?
-2, -1/4, 0, 1
Let s(i) = 28*i**3 - 76*i**2 - 42*i - 840. Let x(n) = n**3 - n**2 + 10*n - 1. Let h(g) = 2*s(g) - 60*x(g). Determine q, given that h(q) = 0.
-9, -5
Let 416/9*t + 128/9 + 2/9*t**5 + 38/9*t**4 + 482/9*t**2 + 230/9*t**3 = 0. Calculate t.
-8, -1
Let p(c) be the third derivative of 0*c**3 - 2*c**2 + 17 - 1/90*c**5 + 0*c - 13/36*c**4. What is d in p(d) = 0?
-13, 0
Let l = 87937 + -87934. Factor -22/3*i**4 - 32/3*i**2 + 128/3*i + 0 - 24*i**l - 2/3*i**5.
-2*i*(i - 1)*(i + 4)**3/3
Let i(k) = -64*k + 1157. Let s be i(18). Let g(c) be the second derivative of 0 + 85/18*c**4 + 5/6*c**s + 3*c + c**2 + 31/9*c**3. What is z in g(z) = 0?
-3, -1/5
Let v(o) be the second derivative of o**6/105 - 23*o**5/70 - 25*o**4/42 + 23*o**3/21 + 24*o**2/7 + 88*o - 3. Suppose v(h) = 0. What is h?
-1, 1, 24
Let z(l) be the first derivative of -1/36*l**6 + 0*l + 0*l**2 + 5/24*l**4 - 2/15*l**5 - 215 + 0*l**3. Factor z(g).
-g**3*(g - 1)*(g + 5)/6
Let l = -1046 + 1067. Let m be (-4)/((-6)/l + (-40)/56). Determine w so that 18/7*w**5 + 4/7 + 44/7*w**2 + 8/7*w**3 - 26/7*w - 48/7*w**m = 0.
-1, 1/3, 1, 2
Suppose 22 = 2*d - 10. Suppose -4 = -5*a + d. Factor 6*r + 2*r**3 + 2*r**3 + 4*r**2 - 16*r - 4*r**a + 6*r.
-4*r*(r - 1)**2*(r + 1)
Let a(v) be the third derivative of v**6/24 + v**5/4 - 5*v**4/24 - 5*v**3/2 - v**2 + 663*v. Factor a(h).
5*(h - 1)*(h + 1)*(h + 3)
Let 0 + 41*n**3 + 5/2*n**4 - 53/2*n**2 - 17*n = 0. What is n?
-17, -2/5, 0, 1
Let q(x) = -x + 7. Let n be q(12). Let v be -1 + (2 - n) + -3. Suppose 3*c**5 - 12*c**v + 0*c**4 + 16*c**2 + 20*c**4 + 44*c**3 + c**5 = 0. Calculate c.
-2, -1, 0
Solve -17/3*c - 38/3 + 1/3*c**2 = 0 for c.
-2, 19
Let i(q) = -2*q**2 + 21*q + 1. Let k be i(9). Suppose -k*f = -27*f. Determine t, given that -2 - 7*t**3 + f*t - t**2 + 5*t**2 + t**5 - 2*t**4 + 5*t**3 + t = 0.
-1, 1, 2
Let a(y) = -53*y**2 + 987*y - 2908. Let o(t) = 289*t**2 - 4936*t + 14539. Let j(v) = -11*a(v) - 2*o(v). Factor j(k).
5*(k - 194)*(k - 3)
Let g(l) = 2*l**2 + 48*l + 265. Let j be g(-9). Let f be (26/65)/(-4 + (-21)/j). Solve 4/3*i + 4*i**f - 7/3*i**3 + 0 = 0.
-2/7, 0, 2
Let x(o) be the first derivative of -o**4/26 - 344*o**3/39 - 340*o**2/13 + 52. Suppose x(i) = 0. What is i?
-170, -2, 0
Suppose l + 7 = 3*d, d - 20 - 1 = -2*l. Let w(o) = o**3 - 10*o**2 + 17*o - 8. Let i be w(l). Let i*r**3 - 4/7*r**4 + 0 + 4/7*r**2 + 0*r = 0. Calculate r.
-1, 0, 1
Let n(a) = -85*a**3 + 2868*a**2 - 2856*a - 5737. Let s(p) = 264*p**3 - 8604*p**2 + 8568*p + 17212. Let k(t) = 28*n(t) + 9*s(t). Let k(m) = 0. Calculate m.
-1, 2, 716
Suppose -6 = -3*z, 12*h - 10*h + 5*z = 46. Let a be 8/28*h/36. Factor 0 - 4/7*g - a*g**2.
-g*(g + 4)/7
Let l(q) be the second derivative of q**7/5040 + 17*q**6/1440 - 29*q**4/4 + 9*q. Let u(v) be the third derivative of l(v). Suppose u(m) = 0. What is m?
-17, 0
Let j(y) = -y**2 - 540*y - 72865. Let m(d) = -7. Let u(f) = -2*j(f) - 10*m(f). Suppose u(i) = 0. What is i?
-270
Let c(r) = 9*r**2 + 15*r + 8. Let y(a) = 11*a**2 + 14*a + 10. Suppose 52 = 8*h + 20. Let j(q) = h*y(q) - 5*c(q). Let j(w) = 0. What is w?
-19, 0
Let w(y) be the first derivative of -y**8/5040 + y**6/360 - y**5/180 - 37*y**3 + 107. Let i(q) be the third derivative of w(q). Factor i(s).
-s*(s - 1)**2*(s + 2)/3
Let b be -1 + 0 + (-13)/(-4)*98. Let v = b - 316. Solve q**2 + 1/2*q**4 + 0*q + v*q**3 + 0 = 0 for q.
-2, -1, 0
Let m be ((55/50)/11)/((-114)/(-190)). Let q(c) be the first derivative of m*c**4 + 5 + 0*c**3 - 1/3*c**2 + 0*c. Factor q(k).
2*k*(k - 1)*(k + 1)/3
Suppose -8 = -33*b - 61*b - 8. Let o(g) be the second derivative of -3/20*g**5 + 1/2*g**3 + 0 + b*g**2 - 3*g + 1/8*g**4 - 1/20*g**6. Solve o(r) = 0 for r.
-2, -1, 0, 1
Let q(m) be the first derivative of -9*m**4/16 + 3331*m**3/4 + 6665*m**2/8 + 1111*m/4 - 178. Factor q(s).
-(s - 1111)*(3*s + 1)**2/4
Let o be -2 + ((-37809)/(-9045) - 2). Let w = o - -4/201. Find l such that 3/5 - l + 1/5*l**2 + w*l**3 = 0.
-3, 1
Let r(y) be the second derivative of -y**4/4 - 153*y**3 - 915*y**2/2 - 2*y + 620. Factor r(k).
-3*(k + 1)*(k + 305)
Suppose 16*l + 12*l = 84. Suppose l*b = -3*q + 3, -4*b = 4*q - q - 5. Factor -12/7*w + 0*w**3 - 6/7*w**4 + 0 + 18/7*w**b.
-6*w*(w - 1)**2*(w + 2)/7
Solve 2/9*x**2 + 164738/9 + 1148/9*x = 0 for x.
-287
Factor 7/4*w**2 - 5/4*w**3 + 0 + 1/4*w**4 - 3/4*w.
w*(w - 3)*(w - 1)**2/4
Let q(t) = 7*t**3 - 62*t**2 - 2406*t + 21576. Let f be q(9). Suppose -1479*l + 7569/5 - 1/5*l**f - 173/5*l**2 = 0. Calculate l.
-87, 1
Let 9734*m**3 - 135*m**4 + 855*m**2 - 9949*m**3 + 91 - 5*m**5 - 91 - 500*m = 0. What is m?
-25, -4, 0, 1
Let c(h) = -6*h**2 - 4*h + 1. Let z(o) = 155*o**2 - 275*o - 330. Let j(b) = -30*c(b) - z(b). Determine t so that j(t) = 0.
-15, -4/5
Let k(o) be the first derivative of 27*o**4/4 - 486*o**3 + 1437*o**2/2 - 318*o - 4464. Factor k(t).
3*(t - 53)*(3*t - 2)*(3*t - 1)
Let g be -7 - (-2 + -37) - (-1 - -3). What is v in g*v**2 + 17*v**2 - 20 - 32*v**2 - 5*v**3 = 0?
-1, 2
Let d(x) be the first derivative of -x**6/6 + 41*x**5/5 - 126*x**4 + 540*x**3 - 7264. Factor d(i).
-i**2*(i - 18)**2*(i - 5)
Find j, given that 6*j**2 - 400/3 - 1796/3*j = 0.
-2/9, 100
Let c(b) = 12*b + 134. Suppose 4*l + 38 + 6 = 0. Let k be c(l). Solve -10/3*h**k + 4/3*h**3 - 8/3 - 22/3*h = 0 for h.
-1, -1/2, 4
Let k(w) be the second derivative of 1/18*w**4 + 1/5*w**2 + 13*w + 7/45*w**3 + 1/150*w**5 + 0. Determine a so that k(a) = 0.
-3, -1
Let f(t) = -30266*t**2 - 1968*t - 30. Let u(x) = -121068*x**2 - 7872*x - 119. Let g(q) = 18*f(q) - 4*u(q). Factor g(b).
-4*(123*b + 4)**2
Let y(x) be the first derivative of -3*x - 7/170*x**5 + 0*x**2 + 2/51*x**3 - 5/102*x**4 + 7. Let h(z) be the first derivative of y(z). Factor h(d).
-2*d*(d + 1)*(7*d - 2)/17
Let p(f) be the first derivative of -f**3/3 - 71*f**2/8 + 9*f/2 + 2912. Factor p(s).
-(s + 18)*(4*s - 1)/4
Determine p so that 153/4*p + 81 + 11/2*p**2 + 1/4*p**3 = 0.
-9, -4
Suppose -4*t = -1 - 11. Let k(a) = -42615*a + 340920. Let o be k(8). What is q in o - 2/5*q**2 - 6/5*q**4 + 8/5*q**t + 0*q = 0?
0, 1/3, 1
Suppose -21 = 3*h, -5*d - h - 846 = -859. Solve -12*s**2 - 9*s + 3*s**d + s**5 - 7/4*s**3 + 0 = 0 for s.
-2, -3/2, 0, 2
Let f be (10/(-42)*-6)/((-3)/(-21)). Solve -f*v**4 - 15*v**3 - 5*v**2 + 34*v**3 - 4*v**3 = 0.
0, 1/2, 1
Let u(t) be the second derivative of t**5/15 + 3*t**4 + 2463*t. Factor u(n).
4*n**2*(n + 27)/3
Suppose n + 37 = 4*v, -3*v - n = -16 - 3. Suppose 2*l**5 + 12*l**2 - 16*l**3 - 20 + 133*l**4 - 133*l**4 + 14*l + v = 0. What is l?
-3, -1, 1, 2
Let t(c) be the first derivative of c**3/6 + 9*c**2/2 - 63*c/2 + 1376. Factor t(i).
(i - 3)*(i + 21)/2
Let h(r) be the first derivative of r**4/3 - 2260*r**3/9 + 