157/6*h = 0.
-1, 0, 157
Let i(r) = -14*r + 36. Let d be i(6). Let v = d - -50. Suppose 3*k**2 - 17*k**2 - 6*k + 11*k**v = 0. Calculate k.
-2, 0
Let y = -3/29446 - -14753/294460. Let t(w) be the second derivative of 36*w - 27/10*w**2 + 3/5*w**3 - 1 - y*w**4. Factor t(v).
-3*(v - 3)**2/5
Let o(k) be the second derivative of k**7/2520 - 17*k**6/720 - 3*k**5/20 - k**4/6 + 15*k**3/2 - 12*k. Let f(v) be the third derivative of o(v). Factor f(w).
(w - 18)*(w + 1)
Let s = 4 - 1. Suppose -20 = 5*l, 6*r - 12 = 4*r + l. Let -10 - 15*j**2 - s*j**r + 6*j + 12*j**3 - 12 + 22 = 0. What is j?
0, 1, 2
Let m(o) be the third derivative of o**7/735 + 5*o**6/42 + 59*o**5/70 - 400*o**4/3 + 7168*o**3/3 - 799*o**2. Suppose m(q) = 0. Calculate q.
-32, 7
Factor 2*z**2 - 18714 + 37666 - 18792 - 84*z.
2*(z - 40)*(z - 2)
Let f = -77121 + 848344/11. Determine p, given that f*p**2 - 8/11*p**3 - 6/11*p + 0 + 1/11*p**4 = 0.
0, 1, 6
Let r(v) = 3*v**2 - 33*v. Suppose 19*i + 11 = 20*i. Let b be r(i). Factor b*t**4 + 3/5*t + 0*t**2 + 3/5*t**5 + 0 - 6/5*t**3.
3*t*(t - 1)**2*(t + 1)**2/5
Let d(s) be the third derivative of -s**5/180 + 17*s**4/24 + 110*s**3/9 + 1185*s**2. Factor d(f).
-(f - 55)*(f + 4)/3
Let 2/3*m**2 + 0 + 8*m = 0. What is m?
-12, 0
Suppose 143*j = 118*j + 3600. Let b be -1 - -5 - (-8)/j*-16. Find x, given that 4/9*x**4 + 0 - 16/9*x - 8/9*x**3 - b*x**2 = 0.
-1, 0, 4
Factor 0 + 2/3*n**4 + 40/3*n**2 + 6*n**3 + 8*n.
2*n*(n + 1)*(n + 2)*(n + 6)/3
Factor 200/9*u - 2/9*u**2 + 424/3.
-2*(u - 106)*(u + 6)/9
Let o be 4/(-15)*24/(-12). Let k = -3280 - -3280. Find i such that k + o*i**4 + 0*i**2 + 8/15*i**3 + 2/15*i**5 + 0*i = 0.
-2, 0
Let x(c) be the second derivative of -21/20*c**6 - 1/10*c**5 - 2 + 0*c**2 + 0*c**3 + 1/6*c**4 - 16*c. Factor x(j).
-j**2*(7*j + 2)*(9*j - 2)/2
Let m(w) be the second derivative of 18/13*w**2 - 9*w - 1 + 73/39*w**3 + 1/273*w**7 + 56/39*w**4 + 22/195*w**6 + 3/5*w**5. Factor m(r).
2*(r + 1)**4*(r + 18)/13
Let k(n) be the first derivative of -6*n**5/5 + 117*n**4/4 + 206*n**3 + 711*n**2/2 + 216*n + 5431. Determine v so that k(v) = 0.
-3, -1, -1/2, 24
Let j = -2 - -34. What is y in 17*y**3 - 100*y**4 - 15*y**5 - 14*y**3 + j*y**3 = 0?
-7, 0, 1/3
Let y(h) = 7*h**2 + 12*h + 34. Let a be y(10). Let n = a - 854. Find u such that 4/5*u**3 - 16/5*u + 12/5*u**5 - 32/5*u**4 + n + 32/5*u**2 = 0.
-1, 0, 2/3, 1, 2
Determine p, given that 687*p - 2*p**3 - 19038*p**2 + 19161*p**2 + 303*p + 5*p**3 = 0.
-30, -11, 0
Let h(z) be the second derivative of -z**7/3360 + z**6/576 - z**5/480 + 151*z**3/6 + 22*z + 2. Let j(g) be the second derivative of h(g). Factor j(i).
-i*(i - 2)*(2*i - 1)/8
Factor 203*z**3 + 194*z**3 + z**4 - 28*z**2 - 379*z**3 - 72*z + 128 - 2*z**4.
-(z - 16)*(z - 2)**2*(z + 2)
Let c(k) be the second derivative of -k**5/4 - 205*k**4/12 - 395*k**3/6 - 195*k**2/2 + k - 123. Factor c(p).
-5*(p + 1)**2*(p + 39)
Suppose -120*u + 1138 - 298 = 0. Let f(b) be the first derivative of -2/21*b**3 + 1/28*b**4 - u + 2/7*b - 1/14*b**2. Factor f(d).
(d - 2)*(d - 1)*(d + 1)/7
Determine k so that -5/4*k**2 + 1605/2*k - 515205/4 = 0.
321
Let l be (423/12)/(((-1491)/(-11))/7). Let k = -5/71 + l. Solve k*g + 0 + 1/4*g**2 = 0.
-7, 0
Let o(a) be the second derivative of 4/5*a**5 - 36*a + 0 + 0*a**2 - 24/5*a**6 + 0*a**4 - 38/21*a**7 + 0*a**3. Solve o(k) = 0.
-2, 0, 2/19
Let d be 0 - (34*-3 + -6). Find w, given that 46*w**2 - 3*w**3 + 11*w**2 - d*w - 21*w**2 = 0.
0, 6
Suppose 35328 = 27*i - 26988. Suppose 0 = -4*p - i + 2320. Factor -3/2 - 5/2*y + y**2 - 1/2*y**5 + 1/2*y**4 + p*y**3.
-(y - 3)*(y - 1)*(y + 1)**3/2
Let r = -1903 + 1894. Let o be (-4)/18 + (445/(-63) - r). Factor o*a + 3/7*a**2 + 9/7.
3*(a + 1)*(a + 3)/7
Let a(g) = -8*g**4 - 7*g**3 - 2*g**2 + 3*g + 9. Let s(h) = -13*h**4 - 13*h**3 - 3*h**2 + 7*h + 15. Let w(j) = -5*a(j) + 3*s(j). Let w(b) = 0. What is b?
-1, 0, 2, 3
Factor 1/6*x**3 + 70/3*x - 196/3 + 13/3*x**2.
(x - 2)*(x + 14)**2/6
Suppose 6*i - 11*i = -10*i + 10. Let c(w) be the second derivative of 0*w**i + 1/12*w**4 + 3*w + 1/6*w**3 + 0. Factor c(g).
g*(g + 1)
Let s be (-1 - 441/13)/((-13120)/(-224)). Let i = 2/533 - s. Factor 27/5*m**2 + 81/5 - 81/5*m - i*m**3.
-3*(m - 3)**3/5
Let b = -3426 - -3428. Let l(q) be the second derivative of -5*q + 0 + 0*q**3 + 1/40*q**5 + 1/120*q**6 + 0*q**4 + 0*q**b - 1/168*q**7. Factor l(w).
-w**3*(w - 2)*(w + 1)/4
Suppose -91 - 21 = -4*r. Suppose 17 + r = 9*q. Let -60*d - 14*d**2 + 4*d**2 + 75*d - q*d**3 = 0. Calculate d.
-3, 0, 1
Let q(t) = -t**3 + 6*t**2 + 13*t - 40. Let c be q(7). Factor -1082*b + 3*b**c - 3*b**3 + 3*b**2 + 1106*b.
-3*b*(b - 4)*(b + 2)
Let b(u) be the third derivative of u**6/3600 + u**5/75 - 17*u**4/240 + 53*u**3/6 - 2*u**2 - 6. Let r(c) be the first derivative of b(c). Solve r(f) = 0.
-17, 1
Let a(z) be the second derivative of -z**5/40 - 25*z**4/6 - 188*z**3/3 - 368*z**2 + 2*z + 173. Factor a(n).
-(n + 4)**2*(n + 92)/2
Factor 597*v - 897*v**2 - 1167*v - 504 + 917*v**2 - 682*v.
4*(v - 63)*(5*v + 2)
Let y be 13 + -16 - (-633)/(-3). Let v = y - -1504/7. What is w in v*w**3 - 4/7*w**2 - 2/7*w**4 + 0*w + 0 = 0?
0, 1, 2
Let g be 2303/1128*(-2187)/(-567). Find y, given that 23/8*y**4 + g*y**3 + 0 + 1/8*y**5 + 5/2*y + 61/8*y**2 = 0.
-20, -1, 0
Let p(l) be the second derivative of 22*l**2 + 90*l + 1/3*l**4 + 8*l**3 + 0. Factor p(h).
4*(h + 1)*(h + 11)
What is p in 140 + 2/3*p**2 + 62/3*p = 0?
-21, -10
Let w = -2761 + 11051/4. Let k(o) = -o - 6. Let v be k(-9). Determine a, given that 5*a + 1 + 21/4*a**2 - 1/2*a**v - w*a**4 = 0.
-1, -2/7, 2
Let g(c) = -1125*c**4 + 6888*c**3 - 10577*c**2 + 9*c + 6. Let o(p) = -3375*p**4 + 20660*p**3 - 31730*p**2 + 30*p + 20. Let r(h) = 10*g(h) - 3*o(h). Factor r(s).
-5*s**2*(15*s - 46)**2
Let s(f) be the first derivative of f**3 - 3*f**2 - 9*f - 814. Factor s(k).
3*(k - 3)*(k + 1)
Let t(j) be the second derivative of -1607*j**2 - 3*j**4 + 950*j**2 - 152*j**3 + 87*j - 2231*j**2. Factor t(x).
-4*(3*x + 38)**2
Let j = -52/857 - -2078/5999. Factor 0*i - j*i**2 + 0.
-2*i**2/7
Let z(m) be the second derivative of 0*m**2 + 26 + 0*m**3 - 1/18*m**4 + 1/27*m**6 + 1/45*m**5 - 4/189*m**7 - 2*m. Find n, given that z(n) = 0.
-3/4, 0, 1
Let k be (11781/5610)/(16/300). Factor -75 - 27/4*b**2 + k*b + 3/8*b**3.
3*(b - 8)*(b - 5)**2/8
Suppose 0 = -t - 28. Let z be 1*-7*(-3 - 76/t). Factor 0 - 10/3*k**3 + 0*k + 6*k**5 + 2/3*k**2 + z*k**4.
2*k**2*(k + 1)*(3*k - 1)**2/3
Let r be ((-55)/(-10))/((-121)/(-44)). Let t(h) be the second derivative of 0*h**4 + 1/42*h**7 + 0*h**r - 1/20*h**5 + 0*h**6 - 10*h + 0*h**3 + 0. Factor t(z).
z**3*(z - 1)*(z + 1)
Let s be (1/(-3) - 2/(-6))/1. Suppose 3*u + 3*m - 22 - 17 = s, -3*u = -4*m - 18. What is g in -11*g**2 - 47 + 9*g + 59 - u*g**2 = 0?
-4/7, 1
Factor 126 + 70/3*p**2 + 1/3*p**3 + 149*p.
(p + 1)*(p + 6)*(p + 63)/3
Let h(z) be the second derivative of -z**6/150 + z**5/100 + 14*z**4/15 + 24*z**3/5 + 353*z. Factor h(p).
-p*(p - 9)*(p + 4)**2/5
Let t(u) be the third derivative of -u**5/90 + 308*u**4/9 - 379456*u**3/9 + 2*u**2 + 1634*u. Determine s, given that t(s) = 0.
616
Let c = 1022 + -1019. Let q(g) be the first derivative of -10/27*g**c + 23/9*g**2 + 12 + 20/9*g. Factor q(w).
-2*(w - 5)*(5*w + 2)/9
Let u be (-18935)/(-812) - 9 - 10/145. Let -3*a**4 + 9/4 - 69/4*a**2 - u*a**3 - 15/4*a = 0. Calculate a.
-3, -1, 1/4
Let c = 2131471/330 + -6459. Let p(y) be the third derivative of 0*y**3 - 3*y**2 + 0 + 0*y - c*y**5 + 1/132*y**4. Find x, given that p(x) = 0.
0, 1
Let v = -7939 - -23441/3. Let k = 126 + v. Find q such that 1/3*q**2 + k*q + 1/3 = 0.
-1
Let g = -32 + 259/8. Let d be -30*129/3440*-1. Factor -d*p**3 + 0 - 27/8*p**2 - 15/8*p + g*p**4.
3*p*(p - 5)*(p + 1)**2/8
Let h be (-3721)/(75 + 8415/(-110)). Factor -h - 244/3*o - 2/3*o**2.
-2*(o + 61)**2/3
Let m(k) be the second derivative of 0*k**3 - 2/5*k**6 + 1/3*k**4 + k + 0*k**2 - 113 + 2/5*k**5. Factor m(n).
-4*n**2*(n - 1)*(3*n + 1)
Let t(o) be the third derivative of -189*o**6/160 - 249*o**5/80 - 41*o**4/12 - 2*o**3 + 559*o**2. Solve t(q) = 0 for q.
-4/9, -3/7
Let j = 337/55 - 19/11. Let z(q) be the first derivative of -81*q**2 - 60*q**3 - j*q**5 - 23*q**4 - 54*q + 7 - 1/3*q**6. Determine h so that z(h) = 0.
-3, -1
Let i(d) be the second derivative of 3*d + 1/14*d**4 - 18 - 1/105*d**6 - 1/70*d**5 - 2/7*d**2 