2 = 0.
-1899
Let b(r) = 8*r**3 + 11*r**2 - 8*r - 6. Let n(s) = -39*s**3 - 54*s**2 + 39*s + 30. Let c = 289 - 294. Let h(k) = c*n(k) - 24*b(k). Factor h(y).
3*(y - 1)*(y + 1)*(y + 2)
Let n(s) be the first derivative of s**3/9 + 13*s**2/3 - 920*s/3 + 6878. Solve n(b) = 0 for b.
-46, 20
Let i(w) = -w**4 + w**3 + 2*w + 1. Let u(c) = 6*c**4 - 2*c**3 - 28*c**2 - 10*c - 5. Let o(y) = -10*i(y) - 2*u(y). Factor o(k).
-2*k**2*(k - 4)*(k + 7)
Let 2877/5*p**2 + 4326/5*p - 6/5*p**3 + 1443/5 = 0. Calculate p.
-1, -1/2, 481
Let w be 1/2 + 30/12 - -298. Let p = 303 - w. Factor -3/8*c + 1/8 + 3/8*c**p - 1/8*c**3.
-(c - 1)**3/8
Suppose -1474 = 2*v + 4*b, -10*b + 3008 = -4*v - 6*b. Let x be v/81 + 9 - 14/(-36). Factor -1/6*y + 0 - x*y**2.
-y*(y + 1)/6
Suppose -5*s - 2 = 4*c - 23, 0 = c - 4. Let p be ((-2)/(-3) - s)/((-1)/36). Factor f**2 - 7*f**2 + 8*f**5 - f**2 + p*f**4 + 3*f**2.
4*f**2*(f + 1)**2*(2*f - 1)
Let x(l) = -10*l**2 - 3092*l + 402454. Let b(p) = -3*p**2 - 1031*p + 134152. Let g(w) = -16*b(w) + 5*x(w). Factor g(y).
-2*(y - 259)**2
Let c(i) be the third derivative of -267*i**2 + 0 + 1/135*i**5 + 1/540*i**6 - 11/108*i**4 - 4/9*i**3 + 0*i. Factor c(x).
2*(x - 3)*(x + 1)*(x + 4)/9
Let h(m) be the third derivative of 25/3*m**4 + m - 8/3*m**3 + m**2 - 143/15*m**5 + 0 - 169/60*m**6. Factor h(k).
-2*(k + 2)*(13*k - 2)**2
Let b(a) = -a**3 + 6*a**2 + 17*a - 4. Let y be b(8). Suppose -4*c**2 - 6*c**2 - 7*c**4 + 36*c**3 - 6*c**2 - 13*c**y = 0. Calculate c.
0, 4/5, 1
Factor -18*t**2 - 8322 + 4162 + 3*t**3 + 4160.
3*t**2*(t - 6)
Let t = -1514/361 - -15070/3249. Factor -2/9*j**3 + t*j**2 + 10/9*j - 4/3.
-2*(j - 3)*(j - 1)*(j + 2)/9
Let u(j) be the second derivative of j**7/21 + 203*j**6 + 370881*j**5 + 376444215*j**4 + 229254526935*j**3 + 83769604142049*j**2 + 13*j + 117. Factor u(g).
2*(g + 609)**5
Factor 11 - 1/3*y**2 + 32/3*y.
-(y - 33)*(y + 1)/3
Let w be (-4)/26 - (-120821)/247. Factor 359 + 486 - 5*p**3 - 226*p - 107*p**2 - 18*p**2 - w*p.
-5*(p - 1)*(p + 13)**2
Let m(c) = 63*c. Let t be m(1). Suppose 2*o = -q - 1, -4*q = -167*o + 170*o + 14. Factor 9*w - 12 - 45*w**3 + 63*w - 16*w**3 - 86*w**3 - t*w**o.
-3*(w + 1)*(7*w - 2)**2
Factor -57*j**2 + 76 - 2*j**4 - 4*j + 22*j**3 + j**4 - 13*j**4 + j**4 + 12*j**4.
-(j - 19)*(j - 2)**2*(j + 1)
Let i = -747 - -749. What is y in -1 - y**i - 63*y + 15*y - 15 + 33*y + 32*y = 0?
1, 16
Let s(r) = r**3 - r**2 - r - 7. Let i(q) = -q**4 + 52*q**3 - 202*q**2 + 96*q + 279. Let h(l) = i(l) - 9*s(l). Let h(n) = 0. What is n?
-1, 3, 38
Let c be (-5 - -8)/(-4*(-2)/8). Let k(l) be the second derivative of 0*l**4 + 2*l**2 + 0 + 1/10*l**5 + 6*l - l**c. Factor k(w).
2*(w - 1)**2*(w + 2)
Let f = -463471 + 463476. Find i, given that 96/19*i**3 + 24/19*i**4 + 0 + 128/19*i**2 + 2/19*i**f + 0*i = 0.
-4, 0
Let t = -53 - -53. Suppose 2*l - 24 - 1 = -5*b, -2*l - 4*b + 20 = t. Factor -3*z**2 + 8*z + l + 12 - 16*z + 17*z.
-3*(z - 4)*(z + 1)
Let d(r) be the second derivative of -5/8*r**3 - 25*r + 0*r**2 - 1/3*r**4 + 0 - 1/80*r**5. Determine v, given that d(v) = 0.
-15, -1, 0
Let i(r) be the third derivative of 0*r + 0*r**3 + 125*r**2 + 1/40*r**6 + 3/20*r**5 - 1/2*r**4 + 1. Factor i(g).
3*g*(g - 1)*(g + 4)
Let u(i) be the third derivative of i**8/96 + 17*i**7/420 - 11*i**6/120 - 17*i**5/30 - i**4/2 - 2830*i**2 + 1. Solve u(n) = 0 for n.
-2, -3/7, 0, 2
Let b(q) = -2*q**2 - 153*q + 1374. Let p(u) = -3*u**2 - 219*u + 2063. Let y(t) = 7*b(t) - 5*p(t). Suppose y(c) = 0. What is c?
-41, 17
Let w be (-6)/5*6/((-24)/340). Factor -378*t**4 + 17*t**2 - 180*t**3 - 41*t**2 - 249*t**5 + w*t**5.
-3*t**2*(t + 2)*(7*t + 2)**2
Let w(i) be the third derivative of 0*i - 1/60*i**6 - 33/20*i**4 + 13/50*i**5 + 0 + 27/5*i**3 - 154*i**2. Find f, given that w(f) = 0.
9/5, 3
Let l be 3 + 0 + (0 - 1). Let r be (-16)/(-42 - 22)*11/(605/140). Factor 51/11*m**3 - r*m**4 - 14/11*m**l + 0*m + 0.
-m**2*(m - 7)*(7*m - 2)/11
Let 3*j**5 - 4802*j + 293*j**4 + 22724 - 45450 - 2597*j**2 + 22726 + 7103*j**3 = 0. What is j?
-49, -2/3, 0, 1
Let b(k) be the first derivative of k**6/18 - 4*k**5/15 - k**4/6 + 8*k**3/9 + k**2/6 - 4*k/3 + 1687. Find c such that b(c) = 0.
-1, 1, 4
Factor 587*c - 928 - 1146 - c**2 + 904.
-(c - 585)*(c - 2)
Let q be (135/630)/((-26)/(-91)). Factor -3/4*t**4 + 3/4*t + 3/4*t**5 - 3/2*t**3 - q + 3/2*t**2.
3*(t - 1)**3*(t + 1)**2/4
Suppose -5*z - 30 = -36*k + 31*k, 0 = -k - 5*z + 24. Let r(l) be the first derivative of 25/3*l**3 + 15*l + 35/2*l**2 + 5/4*l**4 + k. Factor r(m).
5*(m + 1)**2*(m + 3)
Let j(p) be the first derivative of p**4/3 - 8*p**3 + 72*p**2 - 75*p + 42. Let d(o) be the first derivative of j(o). Determine u so that d(u) = 0.
6
Let n be (1 - -15) + 195056/129759*37. Solve n*j**3 + 374/7*j**4 + 304/21*j**2 + 242/21*j**5 - 96/7*j + 32/21 = 0 for j.
-2, -1, 2/11
Let m = -3041 + 3041. Let o be (1 + -4)*(-8)/60. Let m + 14/5*z**3 + 11/5*z**2 + o*z = 0. Calculate z.
-1/2, -2/7, 0
Determine f, given that -1408/9*f + 0 - 4/9*f**2 = 0.
-352, 0
Factor 46*s + 114 - 11/2*s**2.
-(s + 2)*(11*s - 114)/2
Let v(g) = 2*g**4 - 3*g**3 - g**2 - 3*g. Let s(x) = -18*x**4 - 228*x**3 + 3580*x**2 - 17320*x + 28500. Let c(n) = -s(n) - 10*v(n). Let c(d) = 0. What is d?
5, 114
Let c(i) be the third derivative of -i**6/60 + 19*i**5/15 - 169*i**4/12 + 44*i**3 + 14*i**2 + 10*i. Let c(h) = 0. What is h?
1, 4, 33
Let n(q) be the second derivative of q**7/294 - 13*q**6/210 + 51*q**5/140 - 67*q**4/84 + 2*q**3/3 - 139*q. Suppose n(y) = 0. What is y?
0, 1, 4, 7
Let m = -21312 - -21314. Let k(i) be the third derivative of 1/600*i**6 - 1/30*i**3 + 1/300*i**5 - 1/120*i**4 + 0*i + 0 + 38*i**m. Factor k(d).
(d - 1)*(d + 1)**2/5
Let t be -14 + 176/2*33/(10164/56). Factor 20 + 376/3*q**t - 4/3*q**5 - 88*q**3 - 244/3*q + 76/3*q**4.
-4*(q - 15)*(q - 1)**4/3
Let f(z) be the third derivative of 0 + 1/60*z**6 - 1/10*z**5 + 4*z**3 + 47*z**2 - 1/3*z**4 - 2*z. Solve f(g) = 0.
-2, 2, 3
Let m(t) be the second derivative of -151*t + 0 - 1/42*t**4 + 16/7*t**2 - 5/7*t**3. Factor m(k).
-2*(k - 1)*(k + 16)/7
Suppose -96 = -8*q + 4*q. Let j = q + -19. Suppose j*n**2 - n**2 - 5 + n**2 = 0. Calculate n.
-1, 1
Let c(q) = -11*q**3 + 15*q**3 - 63*q + 25 + 37*q. Let x be c(1). Let 72/7*g**2 - 432/7*g + 864/7 - 4/7*g**x = 0. Calculate g.
6
Let y be ((-2)/12*3)/((-2 + 5)*(-18)/144). Determine s so that 8/21*s**5 - 12/7*s**3 + 8/21*s**2 + 2/7 + y*s - 2/3*s**4 = 0.
-1, -1/4, 1, 3
Let f = 3347/8588 + -81/452. Factor 106/19*g**2 + 102/19*g - f.
2*(g + 1)*(53*g - 2)/19
Suppose 21*v + 27*v = 79*v. Let d(m) be the second derivative of v - 1/14*m**4 + 1/7*m**3 + 1/70*m**5 - 1/7*m**2 + 2*m. Factor d(x).
2*(x - 1)**3/7
Let k(b) = 54*b**2 - 22 - 14*b**3 + 48*b - 7*b + 33. Let f(l) = 3*l**3 - 11*l**2 - 8*l - 2. Let q(y) = 11*f(y) + 2*k(y). Determine o, given that q(o) = 0.
-2/5, 0, 3
Factor -148 - 219 - 809*l + 1945 - 766*l - 3*l**2.
-3*(l - 1)*(l + 526)
Let r(x) = 2*x**4 - 284*x**3 + 1080*x**2 - 810*x + 42. Let h(j) = -6*j**4 + 853*j**3 - 3239*j**2 + 2430*j - 133. Let u(z) = -6*h(z) - 19*r(z). Factor u(i).
-2*i*(i - 135)*(i - 3)*(i - 1)
Let o(z) = -10 + 0*z - 5*z + 9*z. Let i be o(3). Find h such that -29 - 3*h + 23 - 3*h**i - 6*h = 0.
-2, -1
Let 135/7 - 3/7*d**2 + 12/7*d = 0. What is d?
-5, 9
Factor 0*a + 4*a**2 + 0 + 1/3*a**3 - 1/3*a**4.
-a**2*(a - 4)*(a + 3)/3
Let g(j) be the first derivative of -51 + 4/9*j**3 - 2/15*j**5 - 6*j + 4*j**2 - 2/3*j**4. Find x, given that g(x) = 0.
-3, 1
Let r be (-16 - -23)/(5 + 2)*(-9)/(-3). Factor 4/3 + 100*v + 2500*v**2 + 62500/3*v**r.
4*(25*v + 1)**3/3
Factor 82/21*v**2 - 12/7 - 46/21*v.
2*(v - 1)*(41*v + 18)/21
Suppose q + 15*i - 14*i = 4, 4*q - 12 = -3*i. Suppose -3*l - 9 = -n, 3*n + 6*l = l - 1. Solve -n*u + q*u - u - 2*u**3 + 8*u + 2*u**2 = 0 for u.
-1, 0, 2
Suppose 14*g = 4 - 4. Let t = 505/632 - -3/3160. Factor -4/5*m**3 + t*m**4 + 4/5*m + g - 4/5*m**2.
4*m*(m - 1)**2*(m + 1)/5
Suppose -13 + 7 = -2*v. Factor v*o**2 - 8*o**3 - 9 + 9 + 5*o**3.
-3*o**2*(o - 1)
Determine n, given that 68*n - 134*n**2 - 99*n**2 - 1156 + 232*n**2 = 0.
34
Let s(j) be the second derivative of j**7/84 + j**6/10 + j**5/5 - j**4/12 - 3*j**3/4 - j**2 - 11*j - 75. Suppose s(o) = 0. What is o?
-4, -1, 1
Solve -13/4*b**2 - 84*b + 13 = 0.
-26, 2/13
Suppose -3*s + 14 + 7 = -5*w, -2 = 5*s + 4*w. Let n(a) = a + 6. Let m b