 6*s**3 + 2*s**4 + 19*s**3. Let w(v) = v**3 - 2*v**2 + v. Let b(k) = -q(k) - 5*w(k). Factor b(n).
-2*n*(n - 6)*(n - 1)*(n + 1)
Let c = 6662 - 279803/42. Let v(b) be the second derivative of 0 + c*b**7 + 31*b + 1/12*b**4 - 1/30*b**6 + 0*b**2 + 0*b**3 - 1/20*b**5. Factor v(h).
h**2*(h - 1)**2*(h + 1)
Let u(g) be the third derivative of g**5/15 - 94*g**4/3 - 126*g**3 - 394*g**2. Factor u(d).
4*(d - 189)*(d + 1)
Let x be (7/(-3))/(-1*1/(-6)). Let y be -1 + (-1464)/(-28) + 4/x. Solve -46 - 7*l**2 + 2*l**2 + y = 0.
-1, 1
Let l(y) be the third derivative of 0*y + 0*y**4 + 2*y**2 + 13/45*y**6 + 2/35*y**7 + 8/15*y**5 - 116 + 1/252*y**8 + 0*y**3. Find c, given that l(c) = 0.
-4, -3, -2, 0
Suppose 6*d + 372 = 38*d - 12. Let n(x) be the first derivative of -3/2*x**2 + x**3 - d + 0*x. Solve n(k) = 0 for k.
0, 1
Let n(f) = f + 1. Let b(z) = -326*z**2 - 120*z + 281 - 464 + 3311 + 327*z**2. Let t(r) = -5*b(r) - 40*n(r). Factor t(g).
-5*(g - 56)**2
Let j(b) = 2*b - 22. Let t be j(13). Suppose q = -q + 5*d + 33, 5*q + t*d = 0. Factor 20*s**3 + 15*s**4 - 35*s**q + 8*s**5 - 3*s**5.
5*s**3*(s - 2)**2
Let n be (-8)/(-3) + 16*3/(-18). Let w(d) be the third derivative of -1/10*d**6 + 0*d**5 + 0*d + n*d**3 + 0*d**4 - 2/105*d**7 - 6*d**2 + 0. Factor w(q).
-4*q**3*(q + 3)
Factor 33/2*q - 1/4*q**2 - 32.
-(q - 64)*(q - 2)/4
Let 10/3*x + 0 + 22/3*x**2 + 14/3*x**3 + 2/3*x**4 = 0. Calculate x.
-5, -1, 0
Let o(r) = 398*r**2 + 409*r - 3819. Let i(n) = -77*n**2 - 81*n + 764. Let y(f) = 31*i(f) + 6*o(f). Determine v so that y(v) = 0.
22, 35
Factor -6*y**3 - 1723*y + 3*y**3 - 1817*y + 30*y**2 - 1761*y + 5412*y + 78.
-3*(y - 13)*(y + 1)*(y + 2)
Let y be (-105)/(-2)*46/69. Factor 5*v**3 + 50 - 95*v + 22*v**2 + y*v**2 - 17*v**2.
5*(v - 1)**2*(v + 10)
Let z be (-5 - -2 - 0) + 3. Let f(p) = -2*p**3 - 12*p**2 - 19*p - 41. Let d be f(-5). Factor z + 0*a + 0*a**2 - 2/19*a**d + 2/19*a**3.
-2*a**3*(a - 1)/19
Let l(i) be the third derivative of i**7/10080 - i**6/240 - 13*i**5/480 + i**4/24 - 6*i**3 - 51*i**2. Let c(t) be the second derivative of l(t). Factor c(s).
(s - 13)*(s + 1)/4
Let -31*x**2 + 1/2*x**3 - 2916 + 1161/2*x = 0. What is x?
8, 27
Let t(h) be the first derivative of h**5/14 + 41*h**4/84 + h**3/21 - 4*h**2/7 + 76*h - 16. Let v(f) be the first derivative of t(f). Factor v(x).
(x + 4)*(2*x + 1)*(5*x - 2)/7
Factor 0*s + 19/4*s**4 + 0*s**2 - 1/4*s**5 - 9/2*s**3 + 0.
-s**3*(s - 18)*(s - 1)/4
Let n be (81/(-2))/3*300/(-225). Suppose -4*t + n = 6. Find z such that 196*z**2 - 192*z**2 + 8*z**3 + 4*z**4 - t*z + 3*z = 0.
-1, 0
Let n(q) be the first derivative of -5*q**7/56 - 13*q**6/40 - 9*q**5/40 + 97*q + 107. Let o(k) be the first derivative of n(k). Let o(u) = 0. Calculate u.
-2, -3/5, 0
Factor -1208/5*b - 182408/5 - 2/5*b**2.
-2*(b + 302)**2/5
Find d such that 4168*d**2 - 2086*d**2 + 9*d + 3*d**3 - 14 - 13 - 2067*d**2 = 0.
-3, 1
Let i = -2024 + 48577/24. Let r(n) be the third derivative of -10/3*n**3 + 0*n - 5/6*n**4 + 0 + i*n**6 + 1/12*n**5 + 18*n**2. Let r(t) = 0. What is t?
-2, -1, 2
Let 6/5*v**5 - 452/5*v**4 + 5364/5*v**2 + 1258/5*v + 2544/5*v**3 - 1104/5 = 0. Calculate v.
-1, 1/3, 8, 69
Factor -44/5 + 2/5*b**3 + 14*b - 28/5*b**2.
2*(b - 11)*(b - 2)*(b - 1)/5
Let x = -107468/585 - -1654/9. Let i = 5/39 + x. Factor -i*v**2 - 9/5 - 6/5*v.
-(v + 3)**2/5
Let m = -1298133 - -6490677/5. Factor m*w**2 - 15*w + 18/5.
3*(w - 6)*(4*w - 1)/5
Let z(b) be the third derivative of b**7/105 + 19*b**6/30 + 71*b**5/30 - 19*b**4/6 - 24*b**3 - 202*b**2 - 1. Determine v so that z(v) = 0.
-36, -2, -1, 1
Let c = -1/21519 + 193675/86076. Suppose 169/4*x**2 + c + 39/2*x = 0. Calculate x.
-3/13
Let y be 9*1 + (-2 + 4)/2. Let q be (4 - 1104/280)/(1/y). Determine r so that -q*r**3 + 0 + 0*r + 4/7*r**2 = 0.
0, 1
Let u(c) be the first derivative of -c**5/35 - c**4/28 + 71*c**3/21 - 51*c**2/14 - 54*c - 4299. What is f in u(f) = 0?
-9, -2, 3, 7
Let c(h) be the third derivative of 0 + 0*h + 1/30*h**6 - 157*h**2 + 8281/2*h**4 + 1507142/3*h**3 + 91/5*h**5. Factor c(p).
4*(p + 91)**3
Let p(v) be the first derivative of 16*v**5/5 + 13*v**4 + 20*v**3/3 - 26*v**2 - 36*v - 2854. Suppose p(d) = 0. Calculate d.
-9/4, -1, 1
Let n(r) be the first derivative of 1/38*r**4 + 0*r - 62 + 4/57*r**3 + 1/19*r**2. Let n(g) = 0. Calculate g.
-1, 0
Let o(u) = 945*u + 14180. Let b be o(-15). Let m(i) be the third derivative of 0*i + 0 - 2*i**3 - 1/15*i**b + 17*i**2 + 2/3*i**4. Solve m(d) = 0.
1, 3
Suppose -3*s = -1 - 5. Factor 0*b**3 + 30*b + 5*b**3 + 2763*b**s - 2730*b**2 - 2*b**3.
3*b*(b + 1)*(b + 10)
Let u(f) = 24*f - 1198. Let d be u(50). Let h(s) be the second derivative of -8/3*s**3 - 7*s**d + 8*s + 0 - 1/6*s**4. Let h(m) = 0. Calculate m.
-7, -1
Suppose 24*d = 27*d - 6. Let v(g) = -2*g**3 + g**2 + 2*g + 1. Let f(z) = 21*z**3 - 8*z**2 - 24*z - 11. Let u(m) = d*f(m) + 22*v(m). Find w such that u(w) = 0.
0, 1, 2
Let k(j) = j**3 - 70*j**2 + 136*j + 2. Let f be k(68). Factor -7/4*g - 1/4*g**3 + 0 - 2*g**f.
-g*(g + 1)*(g + 7)/4
Let s(m) be the third derivative of -m**7/945 + m**6/108 - 5*m**4/27 + 16*m**3/27 - 104*m**2 + 1. Find x such that s(x) = 0.
-2, 1, 2, 4
Let m(k) be the second derivative of 67*k - 46*k**4 - 108/5*k**5 + 0 - 33/2*k**3 + 27*k**2. Factor m(n).
-3*(4*n + 3)**2*(9*n - 2)
Suppose -15167 = -89*h + 60*h. Let y = 526 - h. Factor -3/2*i**4 + 0*i**y + 9/2*i**2 - 3*i + 0.
-3*i*(i - 1)**2*(i + 2)/2
Factor 0 + 15/2*f**3 - f**2 - 17/2*f.
f*(f + 1)*(15*f - 17)/2
Suppose 0 = 72*q - 274*q + 3232. Let p(n) be the second derivative of 0 + 8/3*n**3 - 1/5*n**5 + q*n**2 + 8*n - 2/3*n**4. Factor p(h).
-4*(h - 2)*(h + 2)**2
Let z(s) be the second derivative of 0 + 0*s**3 + 0*s**4 - 1/8*s**5 + 0*s**2 - 197*s + 3/40*s**6 + 1/168*s**7. What is j in z(j) = 0?
-10, 0, 1
Factor -1846 + 5*w**2 + 1575*w - 5195*w + 5461.
5*(w - 723)*(w - 1)
Let x(k) = k**2 - 185*k - 1342. Let w be x(192). Suppose -18/5*b - 27/5 - 3/5*b**w = 0. What is b?
-3
Let k(j) be the third derivative of -j**10/151200 + 11*j**9/302400 - j**8/50400 + j**5 - 54*j**2. Let n(z) be the third derivative of k(z). Factor n(a).
-a**2*(a - 2)*(5*a - 1)/5
Let z(m) be the third derivative of -1/30*m**5 + 0 + 7/156*m**4 + 22*m**2 + 0*m**3 + 1/1365*m**7 + 1/156*m**6 + 0*m. What is v in z(v) = 0?
-7, 0, 1
Factor 302*z - z**4 - 18*z**4 - 82*z**3 - 542*z**2 - 4*z**4 - 764*z + 21*z**4.
-2*z*(z + 1)*(z + 7)*(z + 33)
Let s(r) be the third derivative of -r**8/84 - 88*r**7/105 - 673*r**6/30 - 3962*r**5/15 - 3038*r**4/3 - 5488*r**3/3 + 4*r**2 - 34. Factor s(w).
-4*(w + 1)**2*(w + 14)**3
Suppose 0 = f + d - 10, 134*f = 133*f + 2*d - 11. Factor 44/3*l**2 + 2/3*l**f + 280/3*l + 400/3.
2*(l + 2)*(l + 10)**2/3
Let a(v) be the first derivative of -94*v**5/35 + 283*v**4/14 - 380*v**3/7 + 388*v**2/7 - 16*v/7 - 617. Factor a(o).
-2*(o - 2)**3*(47*o - 1)/7
Let l(t) be the third derivative of -5/44*t**4 + 1/165*t**5 - 36 + 0*t - 8/33*t**3 + 2*t**2. Factor l(f).
2*(f - 8)*(2*f + 1)/11
What is u in -30*u**4 + 45*u**3 - 176*u**2 + 580*u - 110*u**2 + 28*u**4 - 61*u**3 + 60*u**3 - 336 = 0?
1, 2, 7, 12
Let v = 65763 + -526101/8. Let k be (-55)/88 - -1*1. Let 3/8*x**2 - 3/8*x**4 + 0 + k*x - v*x**3 = 0. What is x?
-1, 0, 1
Let u(m) be the second derivative of -m + 0*m**2 - 3/8*m**4 + 0 - 1/6*m**3 - 1/20*m**6 - 1/4*m**5. Factor u(g).
-g*(g + 1)*(g + 2)*(3*g + 1)/2
Factor 2/7*x**5 - 38/7*x**4 + 736/7*x - 352/7 - 592/7*x**2 + 32*x**3.
2*(x - 11)*(x - 2)**4/7
Suppose -79*i + 14 = -72*i. Factor 57*v - 96*v + 0*v**i + 59*v + 2*v**2.
2*v*(v + 10)
Let n be (-120)/(-75)*(-135)/1764*-7. What is g in n*g - 2/7*g**3 + 4/7 + 0*g**2 = 0?
-1, 2
What is b in 0 - 2/3*b - 3*b**2 = 0?
-2/9, 0
Factor 173*u - u**4 + 1575903 - 86*u**3 - 1575814 + 264*u**2 - 439*u.
-(u - 1)**3*(u + 89)
Let g(l) = -l**4 - 3*l**3 + l**2 - l. Let a(j) = -6*j**4 - 16*j**3 + 7*j**2 - 7*j. Suppose 540 = -71*q - 1945. Let y(w) = q*g(w) + 5*a(w). Solve y(i) = 0 for i.
-5, 0
Let n be (10/(-60))/(1/(-12)). Factor 67*u - n*u**2 - 145*u + 62*u.
-2*u*(u + 8)
Find b such that -948/5*b - 3/5*b**2 + 1908/5 = 0.
-318, 2
Suppose 0 = 194*q - 201*q + 2310. Factor -338*x**3 + 665*x**3 + 9*x**2 - q*x**3.
-3*x**2*(x - 3)
Determine n so that 29929/2 - 173*n + 1/2*n**2 = 0.
173
Let m(g) be the second derivative of -5*g**7/84 - 43*g**6/60 + 139*g**5/20 - 13*g**4/3 - 135*