+ 285. Let w be v(-3). Let r(a) = -a**3 - 4*a**2 + 51*a + 58. Let p be r(w). Let 8/3*j**2 - 4/3*j - 1/3*j**3 - j**p + 0 = 0. What is j?
-2, 0, 2/3, 1
Suppose -3*o + 2*o + 4*r + 10 = 0, 4*r = 2*o - 12. Let x be 7608/264 - 10/(-55). Factor -3 + o - 5*s**2 - 25*s - x.
-5*(s + 2)*(s + 3)
Let h(j) be the third derivative of -35*j + 0 + 0*j**5 + 0*j**3 + j**2 + 1/540*j**6 - 1/12*j**4. Suppose h(o) = 0. What is o?
-3, 0, 3
Let n(i) = i**4 + i**2. Let l(o) = -19*o**4 - 24*o**3 - 3646*o**2 + 3661*o**2 + 7*o**4. Let s(d) = l(d) - 3*n(d). Suppose s(h) = 0. Calculate h.
-2, 0, 2/5
Let m(a) be the second derivative of -a**5/25 + 1094*a**4/15 + 4379*a**3/30 + 219*a**2/2 + 4481*a. Suppose m(s) = 0. Calculate s.
-1/2, 1095
Let b(x) be the third derivative of -1/945*x**7 + 12*x**2 + 5/27*x**3 - 2/135*x**5 + 0 - 4*x + 1/90*x**6 - 1/18*x**4. Determine l so that b(l) = 0.
-1, 1, 5
Let d(a) be the second derivative of 3*a**5/20 - 9*a**4/4 - 5*a**3 - 3859*a. Factor d(f).
3*f*(f - 10)*(f + 1)
Let k(r) be the first derivative of -4*r**2 + r**4 + 0*r + 2/3*r**6 + 12/5*r**5 - 21 - 4*r**3. Factor k(d).
4*d*(d - 1)*(d + 1)**2*(d + 2)
Suppose -215*f = -210*f + 65. Let a(c) = -c**3 - 12*c**2 + 12*c - 11. Let n be a(f). Factor 1/10*u**n + 0 + 1/2*u.
u*(u + 5)/10
Let r(s) = 93*s**3 + 1665*s**2 + 690*s + 36. Let y(h) = -2*h**3 - 6*h - 1. Let z(c) = -r(c) - 36*y(c). Find w such that z(w) = 0.
-79, -2/7, 0
Let 340/9*f**3 + 116/3*f - 76*f**2 - 4/9 = 0. What is f?
1/85, 1
Let k be 9 + (-63)/6720*956. Let n(c) be the third derivative of 0 + 0*c**3 - k*c**5 + 0*c + 6*c**2 - 1/96*c**4. Suppose n(v) = 0. Calculate v.
-1/9, 0
Let a = -23 + 128/5. Let p = -2 + a. Factor 3/5*t**2 + 0 + p*t.
3*t*(t + 1)/5
Let j(k) be the third derivative of -25/42*k**4 + 0*k**3 + 1/210*k**6 + 8/35*k**5 + 163*k - k**2 + 0. Solve j(x) = 0.
-25, 0, 1
Let l(g) be the second derivative of -g**4/28 + 103*g**3/14 + 156*g**2/7 - 1063*g. Factor l(t).
-3*(t - 104)*(t + 1)/7
Let c(o) = 43*o**4 + 23*o**3 - 7*o**2 + 7. Let d(v) = -v**5 + 2*v**4 - v**3 - v**2 + 1. Let i(a) = 4*c(a) - 28*d(a). Determine u so that i(u) = 0.
-15/7, -2, 0
Factor 36/7*x - 2/7*x**2 - 22.
-2*(x - 11)*(x - 7)/7
Let a(c) be the third derivative of -1/36*c**5 + 0 - 105*c**2 - 2/9*c**3 + 11/72*c**4 - 1/180*c**6 + 0*c. What is g in a(g) = 0?
-4, 1/2, 1
Let y = -1021901/6 + 170317. Factor 3/2 + 7/6*s**2 - 17/6*s + y*s**3.
(s - 1)**2*(s + 9)/6
Suppose -2*d + 2*j = -68, d - 17*j = -21*j + 54. Let -52 - d*k**3 + 56*k - 32*k**2 - 43*k**2 + 39*k**3 + 58*k**2 = 0. Calculate k.
2, 13
What is v in -227*v**3 - 125*v**2 - 179*v**2 + 13*v**4 + 48*v**2 - 9*v**4 - 25*v**3 = 0?
-1, 0, 64
Let n(r) = -r**3 - 3*r**2 + 5. Let y be n(-4). Suppose -x + m + 2*m = -17, 2*x + 5*m + y = 0. Factor 7*g + 170*g**2 + 171*g**2 - 340*g**x.
g*(g + 7)
Suppose 3*h = -i + 2, 2*i - 4 + 0 = 4*h. Factor -40*n**i - 5*n**3 - 4*n**3 - 32 + 1449*n - 1337*n - 19*n**3 + 12*n**4.
4*(n - 2)**2*(n + 2)*(3*n - 1)
Suppose 11 = 3*r - p, -2*r - 11*p + 13*p = -2. Suppose h - 2*h = r*h. Let 0 - 2/13*j**3 + 8/13*j**2 + h*j = 0. What is j?
0, 4
Suppose -3/2*k**3 + 471/2*k + 0 + 234*k**2 = 0. Calculate k.
-1, 0, 157
Let g(y) = -7*y**4 - 625*y**3 - 621*y**2 + 6*y + 6. Let i(b) = -6*b**4 - 626*b**3 - 622*b**2 + 4*b + 4. Let v(n) = -2*g(n) + 3*i(n). Factor v(z).
-4*z**2*(z + 1)*(z + 156)
Suppose 443*s + 4*s**4 + 442*s - 2192 + 560*s**3 + 457*s - 1358*s + 1644*s**2 = 0. Calculate s.
-137, -2, 1
Factor 0 - 2/5*t**2 + 148*t.
-2*t*(t - 370)/5
Factor -2/9*g**4 + 128/9*g**2 + 14/3 - 14/3*g**3 - 127/9*g + 1/9*g**5.
(g - 6)*(g - 1)**3*(g + 7)/9
Let g(q) be the third derivative of -q**5/270 - 97*q**4/108 - 32*q**3/9 + 97*q**2 - 3*q. Suppose g(l) = 0. Calculate l.
-96, -1
Let l(y) = 29*y + 102. Let a be l(-3). Factor a + 20*i + i**3 + 7*i**3 - 11*i**3 - 7*i**3 - 25*i**2.
-5*(i - 1)*(i + 3)*(2*i + 1)
Let u(l) be the third derivative of l**6/1440 + l**5/160 + l**4/48 - 34*l**3/3 + 109*l**2. Let g(w) be the first derivative of u(w). Factor g(q).
(q + 1)*(q + 2)/4
Let w(n) be the second derivative of -2*n + 7/51*n**4 - 7/255*n**6 + 1/357*n**7 - 2 + 1/51*n**3 - 7/17*n**2 - 1/85*n**5. What is h in w(h) = 0?
-1, 1, 7
Let x(d) be the first derivative of 3*d**5/20 + 117*d**4/4 + 155*d**3/4 - 405. Suppose x(f) = 0. Calculate f.
-155, -1, 0
Let j(q) be the first derivative of 2/3*q**6 - 188/21*q**3 + 0*q - 3*q**4 + 188/35*q**5 - 192 + 4*q**2. Suppose j(h) = 0. What is h?
-7, -1, 0, 2/7, 1
Suppose 15 = 5*i - f, i + 5*f - 9*f = 3. Suppose -132*g**3 - 4*g**5 + 280*g**2 + 60*g**4 + 0*g**5 - 68*g**i + 44 - 180*g = 0. Calculate g.
1, 11
Let z = -8861 + 44306/5. Let w(r) be the second derivative of 0*r**3 + 1/2*r**4 - z*r**5 - r**2 - r + 0. Factor w(o).
-2*(o - 1)**2*(2*o + 1)
Let m = 25199/5403 - -5/1801. Factor -4/3*w**5 + 0 + 0*w**2 - 4*w**3 - m*w**4 + 0*w.
-2*w**3*(w + 2)*(2*w + 3)/3
Let y(g) be the first derivative of -1/21*g**6 + 0*g**3 + 84 + 2/35*g**5 + 0*g**2 + 0*g + 1/7*g**4. Find j such that y(j) = 0.
-1, 0, 2
Let n(d) be the first derivative of d**5/30 - d**3/3 - 2*d**2/3 + 134*d + 89. Let y(s) be the first derivative of n(s). Let y(o) = 0. Calculate o.
-1, 2
Let a(k) = 2091*k - 23001. Let w be a(11). Factor -9/4*u**2 + w*u + 3/4*u**3 + 3.
3*(u - 2)**2*(u + 1)/4
Let f = 19834 + -19834. Let x(v) be the second derivative of 5*v + 1/130*v**5 - 1/39*v**4 + 0 + 0*v**2 + 1/195*v**6 + f*v**3. Suppose x(u) = 0. Calculate u.
-2, 0, 1
Let x(f) be the second derivative of 1/180*f**5 - 31*f - f**2 + 0 + 13/36*f**4 + 169/18*f**3. Let b(g) be the first derivative of x(g). Factor b(r).
(r + 13)**2/3
Let j(i) be the second derivative of 2*i**6/15 - 41*i**5/5 + 204*i**4 - 2592*i**3 + 17280*i**2 + 1453*i. Factor j(h).
4*(h - 12)**3*(h - 5)
Let y(h) be the third derivative of h**5/360 - 29*h**4/8 + 521*h**3/36 - 4337*h**2 + h. Solve y(j) = 0.
1, 521
Let z(a) = -5*a**3 - 27*a**2 + 10*a - 2. Let n be z(-5). Let q be (-1 - -24*(-9)/n) + -1. Determine d so that 0 + q*d**3 + 0*d**2 + 0*d = 0.
0
Let y(n) be the third derivative of 1/360*n**5 - 1/1260*n**7 + 0 + 0*n + 1/180*n**6 + 13*n**2 - 1/36*n**4 + 0*n**3. Let y(o) = 0. Calculate o.
-1, 0, 1, 4
Let p = -6668 + 6670. Let b(l) be the second derivative of 0*l**p + 20*l + 0 + 9/16*l**4 + 0*l**3 + 1/56*l**7 - 1/8*l**6 + 9/80*l**5. Let b(r) = 0. What is r?
-1, 0, 3
Let q = -1449 + 1452. Let k(x) be the first derivative of -25/2*x**2 - 10*x - 20/3*x**q + 17 - 5/4*x**4. What is j in k(j) = 0?
-2, -1
Let r(l) be the first derivative of -l**5/80 - 21*l**4/32 + 11*l**3/4 + 121*l**2/2 - 125. Let u(s) be the second derivative of r(s). Let u(g) = 0. Calculate g.
-22, 1
Let y(s) = 5 + 16 + 17 - s**3 - 23 - 14*s. Let m(j) = 3*j**3 + 28*j - 31. Let i(g) = 3*m(g) + 7*y(g). Solve i(v) = 0.
-3, 1, 2
Solve -24/5*u + 24/5*u**3 - 64/5 + 62/5*u**2 + 2/5*u**4 = 0.
-8, -4, -1, 1
Let m(u) = -12*u - 176. Let t be m(-15). Let y be (-20 - -18)/(t/(-30)). Solve -y - 3/5*o**2 - 6*o = 0 for o.
-5
Let w be (-3956)/(-258) - (-1)/(-3). Let n be w/18 + 0 - (-2)/(-6). Let -1/2*r**4 + 0*r**2 + n + r**3 - r = 0. What is r?
-1, 1
Let g(p) be the first derivative of p**6/24 + 7*p**5/4 + 109*p**2 - 198. Let s(w) be the second derivative of g(w). Factor s(t).
5*t**2*(t + 21)
Let n(y) be the first derivative of 5*y**4/18 - y**3 - 2*y**2/3 + 32*y + 69. Let u(a) be the first derivative of n(a). Factor u(s).
2*(s - 2)*(5*s + 1)/3
Let t(j) = -2*j**2 + j - 6. Let f be t(7). Let i = f + 105. Let -i*v**2 + 1 - 19*v**3 - 4*v - 10*v**3 + 7 + 33*v**3 = 0. Calculate v.
-1, 1, 2
Let a(l) be the first derivative of l**3 + 1791*l**2 + 1069227*l + 1770. Let a(s) = 0. What is s?
-597
Let s(i) = 23*i**3 - 5302*i**2 + 607510*i + 612923. Let g(t) = 8*t**3 - 1764*t**2 + 202504*t + 204308. Let l(h) = 11*g(h) - 4*s(h). Factor l(q).
-4*(q - 226)**2*(q + 1)
Let n(g) be the third derivative of g**5/240 + 121*g**4/12 + 29282*g**3/3 + 38*g**2 + 12*g. Find t, given that n(t) = 0.
-484
Solve -1/2 - 7/4*z - 5/4*z**3 - 9/4*z**2 - 1/4*z**4 = 0 for z.
-2, -1
Let q = 1082 - 1080. Let o(f) be the first derivative of -12/5*f**5 - 8*f**3 + 4*f**2 + 13/2*f**4 - q + 1/3*f**6 + 0*f. Solve o(g) = 0 for g.
0, 1, 2
Let y be (-4)/14 + 26/273*948. Let n be -5*(24/y)/(-2). Factor -2*g + 4/3 + n*g**2.
2*(g - 2)*(g - 1)/3
Let t(d) be the first derivative of -2*d**5/25 + 18*d**4