 1052. What is h in m(h) = 0?
-2, -1, 0, 42
Let f(o) be the second derivative of -1/55*o**5 + 0*o**2 + 0 - 3/22*o**4 + 5/33*o**3 - 87*o. Let f(b) = 0. Calculate b.
-5, 0, 1/2
Let y(p) be the third derivative of 12*p**2 - 26*p**4 - 17/10*p**5 + 0 + 0*p - 1/30*p**6 + 169/3*p**3. Factor y(n).
-2*(n + 13)**2*(2*n - 1)
Suppose -2*x + 161 = h - 66, 5*x = -4*h + 905. Suppose 15*z - h = 6*z. Let 5*i**2 - z - 15 + 23*i - 13*i = 0. What is i?
-4, 2
Let m be (138/(-322))/((-1)/7). Let s(k) be the first derivative of 37 - 2/3*k**m - 1/6*k**2 + 0*k - 5/12*k**4. Suppose s(u) = 0. What is u?
-1, -1/5, 0
Let a(z) be the first derivative of -z**4/2 + 46*z**3/3 + 50*z**2 + 2484. Factor a(m).
-2*m*(m - 25)*(m + 2)
Let j = -16 - -20. Find a, given that -15*a**3 + 39 - 4*a**4 + 21 - a**j - 94*a**2 + 163*a - 48*a + 139*a**2 = 0.
-4, -1, 3
Find c, given that -1752*c + 3*c**3 + 307*c + 541*c + 75*c**2 + 556*c = 0.
-29, 0, 4
Let b be -33 - (-175)/(-33 + 38). What is y in 9/5*y - 6/5 - 3/5*y**3 + 0*y**b = 0?
-2, 1
Suppose 27*t - 162 = 21*t. Factor 3*m**2 + m + 15 + 3 + 5*m - t.
3*(m - 1)*(m + 3)
Let r = -1962 + 1969. Let c(w) be the first derivative of 4/5*w**2 + 8/15*w**3 + 0*w - r + 1/10*w**4. Solve c(f) = 0.
-2, 0
Let n(i) be the third derivative of i**6/1080 + i**5/60 - 7*i**3/6 - 67*i**2. Let s(u) be the first derivative of n(u). What is d in s(d) = 0?
-6, 0
Let g(h) = 4*h**2 + 116*h + 206. Let o(d) = -3*d**2 - 117*d - 214. Let f(w) = -4*g(w) - 5*o(w). Suppose f(j) = 0. Calculate j.
-2, 123
Let v(x) be the third derivative of -16/3*x**3 + 121/60*x**6 + 0 + 59*x**2 - 11/10*x**5 - 6*x**4 + 0*x. Factor v(d).
2*(d - 1)*(11*d + 4)**2
Suppose -67 = -h - 4*q, 4*h - 3*h + q - 58 = 0. Factor -h - 28*v + 18*v - 10*v + 5*v**2 - 30*v.
5*(v - 11)*(v + 1)
Let l = -180 - -183. Find u such that 30*u**4 + 4*u**5 - 7*u**3 + 10*u**3 - 2*u**4 + 21*u**l = 0.
-6, -1, 0
Let r = -7844/15 + 548771/1035. Let l = r - 147/23. Find a such that -10/9 + 2/9*a**2 + l*a = 0.
-5, 1
Suppose 25*b + 6*b = -23*b + 162. Let f(o) be the first derivative of 1/6*o**6 - 1/2*o**2 + 0*o - b - 2/3*o**3 + 0*o**4 + 2/5*o**5. Solve f(k) = 0 for k.
-1, 0, 1
Let x(a) be the second derivative of -1/120*a**6 - 1/6*a**4 + 1/12*a**5 + 0*a**3 - 6*a**2 + 0 + 14*a. Let w(l) be the first derivative of x(l). Factor w(q).
-q*(q - 4)*(q - 1)
Let d = 4093/4 - 1206. Let h = d + 2201/12. Suppose -96 - h*c**2 - 16*c = 0. Calculate c.
-12
Let w(f) be the second derivative of 5*f**7/84 + 43*f**6/30 + 467*f**5/40 + 105*f**4/4 - 81*f**3 - 54*f**2 + 3206*f. Find u, given that w(u) = 0.
-6, -1/5, 1
Let y(v) be the first derivative of -v**4/126 - 2*v**3/63 + 62*v - 31. Let s(n) be the first derivative of y(n). Let s(w) = 0. What is w?
-2, 0
Let u(h) = -h**3 + 28*h**2 - 9*h - 20. Let v be u(28). Let s = v - -1908/7. Determine d so that 0 - 8/7*d + s*d**2 = 0.
0, 2
Let i = 1058 + -1266. Let g be -8 + 1 - (i/24 - -1). Factor -g - 1/6*u**2 + 2/3*u.
-(u - 2)**2/6
Let n(q) = -q**3 + 16*q**2 + 16*q + 29. Let y be n(17). Let h be 10/y + (8 - (-85)/(-10)). Factor 0*f**4 + 0 - 1/3*f**3 + h*f**5 + 0*f**2 + 0*f.
f**3*(f - 1)*(f + 1)/3
Factor 0 - 1031048*s**2 + 0*s + 1436*s**3 - 1/2*s**4.
-s**2*(s - 1436)**2/2
Let a(q) be the first derivative of 7*q**6/30 + q**5/3 - 7*q**4/6 - 10*q**3/3 - 79*q**2 + 81. Let w(x) be the second derivative of a(x). Factor w(g).
4*(g - 1)*(g + 1)*(7*g + 5)
Let h(j) = 134*j**2 + 1489*j + 3000. Let z(v) = 59*v**2 + 744*v + 1500. Let i(u) = 4*h(u) - 9*z(u). Factor i(g).
5*(g - 150)*(g + 2)
Let o(q) = 27*q + 130. Let t be o(-6). Let c(f) = 20*f**2 + 408*f. Let s(h) = 2*h**2 + 37*h. Let g(m) = t*s(m) + 3*c(m). Factor g(p).
-4*p*(p - 10)
Suppose 0 = -2*v - 2, -5*h + 3*v + 15 = -2*v. Suppose 7*o - 6*o - h = 0. Factor -85*m - 6*m**3 + 3*m**4 - 9*m**o + 85*m.
3*m**2*(m - 3)*(m + 1)
Let w(r) = -3*r**3 + r - 1. Let o(j) = j**3 - 14*j**2 - 23*j - 9. Suppose 224*x + 4 = 228*x. Let n(c) = x*w(c) + o(c). Factor n(y).
-2*(y + 1)**2*(y + 5)
Let 117/2 - 105/2*s - 6*s**2 = 0. Calculate s.
-39/4, 1
Let g be (-6)/(-51) + 1369/15096. Let y(c) be the first derivative of -24 + 5/12*c**2 - 5/9*c**3 + 0*c + g*c**4. Find b, given that y(b) = 0.
0, 1
Let q = 278088 + -834262/3. Suppose 0 = s + 3*p - 2*p + 2, 6 = s - 3*p. Let -q*h**2 + s + 2/3*h = 0. What is h?
0, 1
Let h(x) be the second derivative of 5/6*x**6 - 4 + 72*x**2 + 286/3*x**4 - 128*x**3 - 16*x**5 + 3*x. Factor h(n).
(n - 6)**2*(5*n - 2)**2
Let z(x) be the second derivative of -2*x**6/15 - 107*x**5/5 - 1295*x**4 - 100450*x**3/3 - 171500*x**2 + 1010*x. Suppose z(c) = 0. What is c?
-35, -2
Let t be (-55 - -57)*(0 + (-57)/(-2)). Suppose t*r - 56*r = 3. Factor 0 + 3/7*m**2 - 6/7*m**r + 3/7*m.
-3*m*(m - 1)*(2*m + 1)/7
Solve 11/4*q**3 + 1/8*q**4 + 141/8*q**2 + 65/2 + 83/2*q = 0 for q.
-13, -5, -2
Find x, given that 1/6*x**3 + 0 + 131/6*x + 22*x**2 = 0.
-131, -1, 0
Suppose 26*b - 26 = 25*b. Factor 43*v**2 + 3*v**3 + 162*v + b*v**2 + 251*v - 53*v - 432.
3*(v - 1)*(v + 12)**2
Let u(c) = 349*c - 14. Let g be u(-3). Let q = g - -1063. Solve 5/3*w - 2 + 1/3*w**q = 0 for w.
-6, 1
Suppose -y + 5*m + 363 = 0, -7*y + 4*m + 1815 = -2*y. Let f = y + -2529/7. Factor 8/7*l - f*l**2 - 2/7*l**4 + 16/7 - 10/7*l**3.
-2*(l - 1)*(l + 2)**3/7
Let z(o) be the second derivative of -2*o**6/45 + 16*o**5/15 + 6*o**4 + 112*o**3/9 + 38*o**2/3 - 11506*o. Find u such that z(u) = 0.
-1, 19
Let w be -45 + 11 + 5768/168. Find j, given that -5/2 + w*j + 1/6*j**2 = 0.
-5, 3
Suppose -l - 3 = -16*i + 21*i, -5*l + i + 11 = 0. Find w, given that -w**3 - 24*w**l + 21*w**2 + 6*w**2 = 0.
0, 3
Let r be 2*2/8*38*(-1537)/(-3021). Suppose -21*i**2 - r*i**3 - 4/3*i**4 - 8/3 - 46/3*i = 0. Calculate i.
-4, -2, -1, -1/4
Let v(w) = 3*w**3 - 9*w**2 + 5*w - 5. Let g be v(3). Let 25/3*t**5 + 110/3*t**4 - 80/3*t**2 - 115/3*t - g + 30*t**3 = 0. What is t?
-3, -1, -2/5, 1
Let u(l) = -2*l**3 - 2*l**2 + 682*l + 4982. Let n(g) = -10. Let a(f) = -10*n(f) + u(f). Suppose a(j) = 0. What is j?
-11, 21
Let o(f) be the first derivative of f**6/240 - f**5/60 - f**2 + 5*f - 45. Let n(d) be the second derivative of o(d). Determine k, given that n(k) = 0.
0, 2
Let x(z) be the third derivative of 1/20*z**5 - 3/2*z**3 + 10*z**2 - 1/4*z**4 + 0 - 2*z. Factor x(a).
3*(a - 3)*(a + 1)
Let u be 376 - (9/(-12) - (-57)/12). Find j, given that 9*j**3 + 174*j**2 + u*j - 35*j**2 - 480*j + 17*j**2 = 0.
-18, 0, 2/3
Let g(t) be the third derivative of t**6/30 + 22*t**5 + 218*t**4 + 2608*t**3/3 - 3634*t**2. Let g(q) = 0. What is q?
-326, -2
Let z(a) = -a**3 + 20*a**2 + 45*a - 16. Let q be z(22). Suppose 2 = 3*b - 5*h - 4, -h = -3*b + q. Find d such that -2/11*d**3 + 0 + 0*d**b + 2/11*d = 0.
-1, 0, 1
Let g(u) = -12*u**2 - 101*u + 48. Let d(q) = -q**2 - 4. Let l(o) = 13*d(o) - g(o). Factor l(a).
-(a - 100)*(a - 1)
Let t(y) be the third derivative of 37*y**2 + 1/2*y**3 + 0 - 1/48*y**4 - 1/120*y**5 + 0*y. Factor t(k).
-(k - 2)*(k + 3)/2
Let k(p) be the second derivative of p**6/20 - 3*p**5/4 - 311*p**4/8 - 147*p**3 - 216*p**2 - 129*p + 9. Determine g so that k(g) = 0.
-12, -1, 24
Factor 6227*j**2 - 6221*j**2 - 2879*j - 417*j - 2200.
2*(j - 550)*(3*j + 2)
Suppose 19353*u + 26 = 19366*u. Factor 0 - 1/5*w - 1/2*w**u.
-w*(5*w + 2)/10
Let x(i) be the third derivative of i**7/525 - 67*i**6/600 + 191*i**5/150 + 26*i**4/15 - 1693*i**2. Factor x(h).
h*(h - 26)*(h - 8)*(2*h + 1)/5
Let s(i) = 6*i**2 + 2*i**2 - 4*i - 9*i**2 + 0 - 2. Let t be s(-2). Factor 4*y**2 + 3*y**t - 8*y + 18*y - 5*y**2.
2*y*(y + 5)
Let n be -23*(-2)/8 - (-9)/(-12). Suppose -v + v + 5*v**2 + 61*v**3 - 79*v**3 + 24*v**n + 2*v**4 - v**2 = 0. Calculate v.
-1, 0, 1/4, 2/3
Let a(f) be the second derivative of f**6/135 + f**5/90 - 25*f**4/54 - 37*f**3/27 + 20*f**2/3 - 145*f - 8. Find t such that a(t) = 0.
-4, -3, 1, 5
Let a(k) = -6*k**3 - 199*k**2 + 291*k + 280. Let t(f) = 12*f**3 + 397*f**2 - 583*f - 560. Let u(q) = -14*a(q) - 6*t(q). Factor u(j).
4*(j - 2)*(j + 35)*(3*j + 2)
Let f(l) be the third derivative of 11*l**5/240 + 181*l**4/96 + 85*l**3/12 - 1260*l**2. Factor f(v).
(v + 1)*(11*v + 170)/4
Let j(k) be the first derivative of -3*k**4/4 - 8*k**3 - 39*k**2/2 - 18*k - 2719. Factor j(c).
-3*(c + 1)**2*(c + 6)
Let p(d) = -6*d**3 + 203*d**2 - 1264*d + 1607. Let k(b) = -b**3 + 34*b**2 - 209*b + 268. Let y(t) = -13*k(t) + 