 + n*q**4 + 4*q + 10*q**3 - 28*q**4 + 4*q + 32*q**2.
-2*q*(q - 2)*(q + 1)*(7*q + 2)
Let c(r) = -7*r**2 + 4*r - 5. Let b(x) be the third derivative of -x**5/20 + x**4/24 - x**3/3 - 65*x**2. Let k(s) = -5*b(s) + 2*c(s). Factor k(h).
h*(h + 3)
Let o(z) be the second derivative of z**5/20 + 65*z**4/2 + 12411*z**3/2 - 77618*z**2 - 1740*z - 2. Factor o(h).
(h - 4)*(h + 197)**2
Determine w, given that -15/2*w**2 + 1/2*w**3 + 24 + 16*w = 0.
-1, 4, 12
Suppose -19 = -4*x - 11. Factor 20 + 29*y**2 - 20*y**x + 5*y - 29*y**2 - 5*y**3.
-5*(y - 1)*(y + 1)*(y + 4)
Factor 6/5*d**3 + 0 - 712/5*d + 1064/5*d**2.
2*d*(d + 178)*(3*d - 2)/5
Suppose -189/2*m**2 - 1/2*m**4 - 144*m + 0 + 49*m**3 = 0. What is m?
-1, 0, 3, 96
Factor 397*y**2 - 4*y**3 - y**3 - 101*y**2 - 212*y**2 - 219*y**2 + 290*y.
-5*y*(y - 2)*(y + 29)
Let h(x) be the third derivative of -x**7/1960 - x**6/420 + x**5/70 - 25*x**4/12 - 6*x**2. Let g(u) be the second derivative of h(u). Factor g(w).
-3*(w + 2)*(3*w - 2)/7
Let j(t) be the first derivative of -t**5/15 - t**4/2 - 84*t**2 + 319. Let k(o) be the second derivative of j(o). Find z such that k(z) = 0.
-3, 0
Let r(y) = 4*y + 1. Let t be r(10). Factor 72*g - 35*g**2 - t*g**2 - 3*g**3 + 67*g**2 + 240.
-3*(g - 5)*(g + 4)**2
Suppose -74/3*p**2 + 0 - 46/3*p**4 + 4*p - 44*p**3 = 0. What is p?
-2, -1, 0, 3/23
Let n(h) be the second derivative of 0*h**2 - 2/15*h**4 + 147*h - 1/15*h**6 + 0 - 4/25*h**5 - 1/105*h**7 + 0*h**3. Factor n(k).
-2*k**2*(k + 1)*(k + 2)**2/5
Let a(f) be the second derivative of -3*f**5/20 + 7*f**4/3 + 46*f**3/3 + 24*f**2 + f - 36. Factor a(g).
-(g - 12)*(g + 2)*(3*g + 2)
Suppose 21/2*s**3 + 0 + 63/8*s + 3/4*s**4 + 69/4*s**2 - 3/8*s**5 = 0. Calculate s.
-3, -1, 0, 7
Let d(k) = -27*k + 19 + 6*k**2 + k**2 + 6*k**2 + 40*k - 11*k**2. Let u be d(-5). Solve 0 - b**5 - 93/5*b**3 + 10*b + 19*b**2 - 47/5*b**u = 0.
-5, -2/5, 0, 1
Let r = 369 - 365. Factor -5*v**2 + 4*v**r - 15*v - 7*v - 15*v**2 - 3*v + v + 8*v**3.
4*v*(v - 2)*(v + 1)*(v + 3)
Suppose -14*q + 386 - 106 = 0. Let v = -9 + q. Suppose 2*g**2 - 21*g - v - 9 - 4*g - 7*g**2 = 0. What is g?
-4, -1
Suppose 2/5*f**2 + 4410 + 84*f = 0. What is f?
-105
Determine h, given that -6*h**3 - 9/4*h**2 + 0 - 13/4*h**4 - 1/2*h**5 + 0*h = 0.
-3, -1/2, 0
Let f(w) be the second derivative of 4 - 7*w + 1/6*w**4 - w**2 - 1/6*w**3 + 1/20*w**5. Factor f(p).
(p - 1)*(p + 1)*(p + 2)
Suppose -4553*g + 1092 = -4475*g. Factor -1/4*v**3 - 9/2*v**2 - g - 15*v.
-(v + 2)**2*(v + 14)/4
Let s(g) = -g**3 - 27*g**2 + 31*g + 87. Let x be s(-28). Let -2*p**3 - 34*p - 5 + 7*p**x - 33*p**2 + p**3 - 15 + 25*p**2 = 0. Calculate p.
-1, 10/3
Let t be 1144/(-11)*(-1 - (-9)/12). Factor -2*o**2 - 8*o + 882 - 922 + t*o.
-2*(o - 5)*(o - 4)
Let b = -38409 + 38411. Let d(p) be the third derivative of -3/385*p**7 + 0 + 0*p - 1/66*p**4 + 34*p**b - 1/66*p**5 + 4/165*p**6 + 0*p**3. Factor d(u).
-2*u*(u - 1)**2*(9*u + 2)/11
Suppose 668 = -478*k + 992 + 1588. Let u = -7/6 - -7/2. Factor 5/3*a + u*a**2 - 2 - 1/3*a**k - 5/3*a**3.
-(a - 1)**2*(a + 1)*(a + 6)/3
Let n(o) be the first derivative of -o**5/7 - 113*o**4/28 + 166*o**3/21 - 24*o**2/7 - 2516. Suppose n(h) = 0. What is h?
-24, 0, 2/5, 1
Let -3*t + 2401*t**2 + 7*t - 2398*t**2 - 1872 + 2*t = 0. What is t?
-26, 24
Let h(q) be the third derivative of -q**8/45360 + q**7/5670 + 27*q**5/20 + 77*q**2. Let c(g) be the third derivative of h(g). Factor c(o).
-4*o*(o - 2)/9
Let p(a) be the third derivative of -400/27*a**3 - 1/945*a**7 + 10/27*a**4 + 0 - 15*a**2 - 1/270*a**6 + 0*a + 13/90*a**5. Suppose p(g) = 0. Calculate g.
-5, 4
Factor -4*b**2 - 928*b + 2*b**2 - 37656 - 69992 + 0*b**2.
-2*(b + 232)**2
Let g = 2/111277 + 445102/333831. Let 64*i - g*i**2 + 196/3 = 0. Calculate i.
-1, 49
Suppose -12 = -6*p + 2*p. Let m be (-2)/8 + 225/36. Factor -35*b**3 + 9*b + m*b**2 + p*b**5 - 32*b**3 - 6 + 55*b**3.
3*(b - 1)**3*(b + 1)*(b + 2)
Suppose -22*t = -373 + 263. Suppose 4*a + 5*p = 28, 4*a - 9*p = -t*p - 8. Factor 1/2*i - 1/3 - 1/6*i**a.
-(i - 2)*(i - 1)/6
Let j(g) be the first derivative of -g**4/8 + 5*g**3/6 + 61*g**2/4 + 55*g/2 + 615. Factor j(p).
-(p - 11)*(p + 1)*(p + 5)/2
Let n be 1/((-4 - 1859/(-465))/1). Let u = -462 - n. Find m, given that 8/11*m - 2/11*m**4 - 4/11*m**2 + 6/11 - 8/11*m**u = 0.
-3, -1, 1
Let j = 29833/8438 + -150/4219. Factor 0 + 29*w**2 - 8*w - j*w**3.
-w*(w - 8)*(7*w - 2)/2
Let w be -13 + 621/(-315) + 15. Let t(m) be the second derivative of -2/21*m**3 + w*m**5 - 11/105*m**6 - 5*m + 0*m**2 + 11/42*m**4 + 0. Solve t(u) = 0.
-1, 0, 2/11, 1
Let r(j) be the third derivative of j**5/120 - 97*j**4/48 - 70*j**3 - 164*j**2 - j. Factor r(o).
(o - 105)*(o + 8)/2
Let u be (202/3131 - ((-1224)/31)/8) + -2 + 1. Find y such that 24/7*y**2 + 8*y + 32/7 - 2/7*y**u - 2/7*y**3 = 0.
-2, -1, 4
Factor 60 - 22*h**2 - 16*h**2 - 26*h + 36*h**2.
-2*(h - 2)*(h + 15)
Let u(n) = 9*n**2 + 8*n - 154. Let b(j) = 20*j**2 + 15*j - 307. Let w(x) = -4*b(x) + 9*u(x). Let g be w(-20). Factor -3/7*a**4 + 0*a**3 + 0*a + 0 + 3/7*a**g.
-3*a**2*(a - 1)*(a + 1)/7
Let f = -69869 + 209608/3. Factor -2 + 5/3*k + f*k**2.
(k - 1)*(k + 6)/3
Let l(t) be the third derivative of -t**5/30 + 473*t**4/6 - 223729*t**3/3 + 2*t**2 + 3630*t. What is g in l(g) = 0?
473
Let b(u) be the second derivative of -u**5/660 + 5*u**4/264 + 7*u**3/33 - 22*u**2 + 77*u. Let x(m) be the first derivative of b(m). What is q in x(q) = 0?
-2, 7
Let j(d) = -13*d**2 + 95*d + 194. Let a(x) = -23*x**2 + 185*x + 389. Let z(n) = 6*a(n) - 11*j(n). Factor z(s).
5*(s + 5)*(s + 8)
Suppose -2*t = -c + 14, -4*t - 5*c - 4 = -102. Determine i so that -96/11*i**t + 36/11*i**3 - 72/11 + 24/11*i**4 - 174/11*i - 6/11*i**5 = 0.
-1, 3, 4
Let h(y) be the first derivative of 5*y**4/4 + 15*y**3 - 85*y**2 + 120*y - 1312. Factor h(g).
5*(g - 2)*(g - 1)*(g + 12)
Let j(a) be the third derivative of -33/16*a**4 - a**2 - 11979/80*a**6 + 11 + 0*a - 1089/40*a**5 - 1/12*a**3. Factor j(c).
-(33*c + 1)**3/2
Factor 130*z + 8 - 248*z + 169*z - 13 - 19 - 6*z**2.
-3*(z - 8)*(2*z - 1)
Let s = 70/3257 + 71164/22799. Suppose 0 - 8/7*c - 15/7*c**3 - s*c**2 = 0. Calculate c.
-4/5, -2/3, 0
Suppose -4 + 0 = 2*o. Let s be 0/1 + (-5 - o - -2). Let l(f) = -3*f**2 - 22*f - 31. Let j(k) = k + 1. Let d(w) = s*l(w) - 4*j(w). What is c in d(c) = 0?
-3
Let n be 21/6*58/609. Let i(v) be the second derivative of -n*v**4 - 32*v**2 + 15*v + 16/3*v**3 + 0. Factor i(j).
-4*(j - 4)**2
What is w in -136*w**2 - 433 + 266*w + 110 + 150 + 41 + 2*w**3 = 0?
1, 66
Suppose 4*s = 3*m - 25, 5*s - 4*s = 5*m - 19. Factor 30*r**2 - 44 - r + 4 - 9*r - 5*r**2 - 5*r**m.
-5*(r - 4)*(r - 2)*(r + 1)
Factor 4/11*n - 2/11*n**2 + 16/11.
-2*(n - 4)*(n + 2)/11
Suppose 15*a - 26 = 34. Suppose -v - 30 = -5*m + a*v, -2*m - 3*v = 3. Suppose 60*w - w**3 + 6*w**m - 40 + 94*w**2 - 124*w**2 = 0. Calculate w.
2
Let w(q) be the third derivative of q**7/1050 - q**6/50 - q**5/300 + q**4/10 - 1845*q**2. What is j in w(j) = 0?
-1, 0, 1, 12
Let w(z) = -z**2 - 18*z - 62. Let r be w(-13). Let -77*y**3 + 25*y**3 - 96*y - 36 - 69*y**2 + 20*y**3 + 17*y**r = 0. What is y?
-2, -3/5
Let i(b) be the first derivative of -b**4/24 - 1091*b**3/18 - 8675. Determine y, given that i(y) = 0.
-1091, 0
Factor -7/9*n**3 + 8 + 242/9*n - 37/9*n**2.
-(n - 4)*(n + 9)*(7*n + 2)/9
Let i be 70 - 80 - (-30)/3. Let k(n) be the first derivative of -1/2*n**4 - 2/9*n**2 - 14/27*n**3 + i*n + 8 - 1/27*n**6 - 2/9*n**5. Let k(z) = 0. Calculate z.
-2, -1, 0
Let j be 6/8 - (1 - (-423)/(-12)). Solve 14 + j*x + 32*x + 27*x - 99*x - x**2 = 0.
-7, 2
Factor -2*s - 42*s**2 + 44*s**2 - 80 + 6*s + 5*s + 3*s.
2*(s - 4)*(s + 10)
Let o(y) be the second derivative of -y**5/4 - 575*y**4/12 - 9303*y. Factor o(z).
-5*z**2*(z + 115)
Let d(l) be the first derivative of 49/3*l**6 + 0*l + 39/2*l**4 - 336/5*l**5 + 12*l**2 - 117 + 136/3*l**3. Suppose d(t) = 0. Calculate t.
-2/7, 0, 1, 3
What is w in -6*w**2 - 2/9*w**3 + 116/9*w + 0 = 0?
-29, 0, 2
Let w(j) be the third derivative of -j**6/660 + 171*j**5/10 - 321651*j**4/4 + 201675177*j**3 + 5471*j**2. Let w(b) = 0. Calculate b.
1881
Let o(n) be the second derivative of 3*n + 0*n**2 - 22 - 1/20*n**5 - 2/3*n**3 - 5/12*n**4. Factor o(u).
-u*(u + 1)*(u + 4)
Suppose 48*m + 213 = 322*m - 335. Let 36/7 - 6/7*a - 2/7*a**m = 0. Calculate a.
-6, 3
Suppose 3*n + 2 = 