7 = -3*m. Suppose 29 = 3*w - 4*q, 4*w - 65*q + 63*q - m = 0. Factor -6/7*k + 0 - 8/7*k**2 - 2/7*k**w.
-2*k*(k + 1)*(k + 3)/7
Let k = -1836 - -1818. Let u be -2 + k/6 - 174/(-18). Let 8/3 - 1/3*o**4 + o**2 - 4/3*o**3 + u*o = 0. Calculate o.
-4, -1, 2
Let r(b) be the third derivative of -b**6/80 + 8*b**5/5 + 35*b**4/4 - 132*b**3 - 5083*b**2. Solve r(w) = 0 for w.
-4, 2, 66
Factor -2878*p + 5758*p + 519 - 2792*p + 449 + 2*p**2.
2*(p + 22)**2
Let c(m) be the second derivative of -73*m + 2 + 10/9*m**3 - 2*m**2 - 1/9*m**4 - 1/15*m**5. Find t, given that c(t) = 0.
-3, 1
Factor -32/5*h**2 - 13/5*h + 12/5 - 7/5*h**3.
-(h + 1)*(h + 4)*(7*h - 3)/5
Let a be 44/18 - 16/36. What is m in -7203 - 17*m**2 - 294*m + 8*m**2 - 7*m**a + 13*m**2 = 0?
-49
Let a(g) be the first derivative of g**2 - 20*g**3 + 4*g + 185 + 27/2*g**4. Suppose a(d) = 0. Calculate d.
-2/9, 1/3, 1
Suppose 0 = 1163*n - 1046*n - 234. Let -2/5*v + 1/10*v**3 + 0 + 0*v**n = 0. What is v?
-2, 0, 2
Suppose -2/3*t**2 + 1/6*t**3 + 0 - 5/6*t = 0. What is t?
-1, 0, 5
Suppose 0 = 29*g - 68*g + 195. Let t(a) be the third derivative of 0*a**3 + 0*a + 0 + 12*a**2 - 1/150*a**g + 1/375*a**6 + 1/300*a**4. Factor t(z).
2*z*(z - 1)*(4*z - 1)/25
Let g(v) = 13*v**5 - 20*v**4 + 49*v**3 - 237*v + 335. Let p(i) = i**5 - i**3 + 3*i + 1. Let l(w) = 2*g(w) - 22*p(w). Suppose l(q) = 0. What is q?
-2, 3
Suppose 2*s + 4*i - 22 = 0, i = -5*s + 5*i + 27. Suppose -4*r + s = -9. Factor -3086*u**4 - 130*u**3 + 8*u - 20*u**2 - 44*u**5 + 2962*u**r + 22*u**3.
-4*u*(u + 1)**3*(11*u - 2)
Let m = 24209/2850 - 160/19. Let o(z) be the third derivative of 1/60*z**6 + 7/60*z**4 + 0 + 0*z + m*z**5 + 1/15*z**3 + 27*z**2. Factor o(n).
2*(n + 1)**2*(5*n + 1)/5
Let x(w) = -w**2 + 18*w - 50. Let q be x(10). Suppose -52*v = -q*v. Factor 0 + 4/5*u**2 + v*u.
4*u**2/5
Let l(p) be the first derivative of 4*p**3/3 - 50*p**2 + 96*p + 381. Find s such that l(s) = 0.
1, 24
Suppose -2*y = 3*r - 7, 2*r = 8*y - 10*y + 4. Let w(p) be the first derivative of -7/2*p**2 - 2*p + 1/6*p**6 + 5 - 8/3*p**r - 1/2*p**4 + 2/5*p**5. Factor w(c).
(c - 2)*(c + 1)**4
Suppose -n - 4*g = -20, 13*g + 67 = 3*n + 18*g. Suppose n*u - 20*u = 8. Determine a, given that -8/3 + 2/3*a**3 - u*a**4 + 14/3*a**2 - 2/3*a**5 + 0*a = 0.
-2, -1, 1
Let l be ((-26)/(-5))/((-26)/(-65)). Let g = 13 - l. Let 10 - 45*n**2 + 2*n + g*n + 33*n = 0. Calculate n.
-2/9, 1
Factor 0*i - 270/11*i**3 - 800/11*i**2 + 0 + 2/11*i**5 - 12/11*i**4.
2*i**2*(i - 16)*(i + 5)**2/11
Suppose -43*v - 115*v + 1010 = -1518. Let o(h) be the first derivative of -7/15*h**5 - 4/3*h**3 + 0*h - 4/3*h**4 - v - 1/18*h**6 + 0*h**2. Factor o(z).
-z**2*(z + 2)**2*(z + 3)/3
Determine b, given that 9/7*b**3 + 702/7 - 51*b - 150*b**2 = 0.
-1, 2/3, 117
Factor -512/5*a - 19/5*a**2 + 27/5.
-(a + 27)*(19*a - 1)/5
Let h(p) = -5*p**4 - 130*p**3 - 1120*p**2 + 170*p + 1145. Let t(o) = o**3 + o + 1. Let d(u) = -h(u) + 20*t(u). Factor d(z).
5*(z - 1)*(z + 1)*(z + 15)**2
What is p in -315*p**2 - p**3 - 23*p**4 + 3*p - 120*p**2 - 148*p**4 - 5*p**3 + 3*p**5 + 777*p**2 - 171 = 0?
-1, 1, 57
Let i = -398 - -796. Factor 4*j**3 - 430 - 17*j**2 + i - 4*j + 49*j**2.
4*(j - 1)*(j + 1)*(j + 8)
Let u(n) be the third derivative of -n + 0 - 8*n**2 + 1/120*n**6 - 13/96*n**4 + 1/35*n**7 + 3/448*n**8 - 11/120*n**5 - 1/12*n**3. Suppose u(h) = 0. Calculate h.
-2, -1, -1/3, 1
Let l(a) be the first derivative of 3*a**6/2 + 161*a**5/5 - 369*a**4/4 + 73*a**3 - 10*a**2 + 1409. Let l(k) = 0. What is k?
-20, 0, 1/9, 1
Let r(b) be the third derivative of 0 + 1/42*b**7 + 0*b**5 + 0*b + 144*b**2 - 1/12*b**6 + 5/12*b**4 - 5/6*b**3. Determine u so that r(u) = 0.
-1, 1
Let x = -18 - -25. Suppose 0 = 3*h - f - x, 0*h = 2*h + 5*f + 1. Solve 7*g**h - 13*g**2 - 1 + 3*g**2 + 6*g - 2 = 0 for g.
1
Find o, given that -208/11*o**2 + 832/11 + 2/11*o**3 - 8/11*o = 0.
-2, 2, 104
Factor -130 - 125/2*l + 5/4*l**2.
5*(l - 52)*(l + 2)/4
Let b(h) = 4*h**3 + 68*h**2 + 8*h - 76. Let y(x) = -4*x**3 - 68*x**2 - 5*x + 74. Let o(f) = 3*b(f) + 4*y(f). Factor o(v).
-4*(v - 1)*(v + 1)*(v + 17)
Let j = 133 + -120. Let j*t**3 - 8 - 24*t**3 + 3*t + 17*t - 16*t**2 + 15*t**3 = 0. Calculate t.
1, 2
Suppose 64735 + 0*n**3 + 64*n**2 + 2*n**3 - 5*n**3 + 5*n**3 - 64867 - 70*n = 0. Calculate n.
-33, -1, 2
Let z(y) be the first derivative of -9 + 1/48*y**4 + 1/12*y**3 - 15*y + 0*y**2 - 1/80*y**5. Let t(x) be the first derivative of z(x). Let t(b) = 0. What is b?
-1, 0, 2
Factor -148 - 54 + 5 - 71*d - 7 + 4*d**2 - 5*d**2.
-(d + 3)*(d + 68)
Let u be 1/((10/54)/5). Let h(l) = 6 + l**2 - 23 + 6*l - u*l. Let s(b) = b**2 - b - 1. Let k(m) = h(m) - 5*s(m). Factor k(w).
-4*(w + 1)*(w + 3)
Let r(j) be the first derivative of -3*j**4/16 + 759*j**3/4 - 53865*j**2 - 108300*j + 213. Factor r(z).
-3*(z - 380)**2*(z + 1)/4
Let l be 40/25*222/296. Factor l - 1/5*n - 1/5*n**2.
-(n - 2)*(n + 3)/5
Solve 29/3*d**3 + 0 - 4/3*d**4 - 5*d**5 - 8/3*d + 10/3*d**2 = 0 for d.
-1, 0, 2/5, 4/3
Suppose 2*i = -4*y - 13 + 5, 4*i + 2*y = 8. Suppose -2*g - 15 = m - 40, 5*m = i*g - 15. Let g*j + 0 + 0 + 91*j**2 - 86*j**2 = 0. What is j?
-2, 0
Let w(c) be the first derivative of -c**4/7 - 44*c**3/7 - 334*c**2/7 - 540*c/7 - 2463. Determine f so that w(f) = 0.
-27, -5, -1
Determine c so that 73/2*c - 170 - 1/2*c**2 = 0.
5, 68
Let u(m) be the second derivative of m**7/6300 - m**6/2700 - 85*m**3/6 + m**2/2 - 34*m. Let a(d) be the second derivative of u(d). What is y in a(y) = 0?
0, 1
Let j(g) be the first derivative of g**4 + 1316*g**3/3 + 51744*g**2 - 790272*g - 9744. Factor j(z).
4*(z - 7)*(z + 168)**2
Let v(i) be the third derivative of -26/105*i**7 + 0*i - 19/3*i**5 + 19/10*i**6 + 0*i**3 + 25/3*i**4 - 79*i**2 + 1/84*i**8 + 0. Suppose v(u) = 0. Calculate u.
0, 1, 2, 5
Let p = 688434 - 688431. Factor -32/3*v**p + 8*v**2 + 1/6 - 2*v.
-(4*v - 1)**3/6
Let l(d) be the third derivative of d**8/336 - 3*d**7/35 - 13*d**6/30 + 10*d**5/3 + 32*d**4 + 320*d**3/3 + 26*d**2 - 2*d + 13. Determine s so that l(s) = 0.
-2, 4, 20
Let f(j) be the third derivative of -j**2 + 0*j**4 + 1/2*j**5 - 31 + 5/24*j**6 + 0*j**3 + 0*j. Suppose f(h) = 0. What is h?
-6/5, 0
Suppose 0 = -3*z - 16*c - 106, z + 1574*c - 1573*c + 5 = 0. Determine n so that 1/7*n**z - 4/7*n + 3/7 = 0.
1, 3
Let j be (-2079036)/(-49077) - (-6)/(-21). Let b = -1272/41 + j. Solve 200/19*m**3 + 72/19*m - b*m**2 - 8/19 = 0 for m.
1/4, 2/5
Let x = 103938/7 + -14848. Let z(s) be the third derivative of -1/280*s**6 + 0 - 9/56*s**4 + 0*s + 3/70*s**5 + 17*s**2 + x*s**3. What is a in z(a) = 0?
1, 4
Let b(n) be the third derivative of -n**6/60 + 83*n**5/150 + 31*n**4/15 + 12*n**3/5 - 2323*n**2. Solve b(u) = 0.
-1, -2/5, 18
Let n(u) = -6*u**2 - 263*u + 46. Let t be n(-44). Let x(i) be the first derivative of 32/21*i + 2/63*i**3 - 3 + 8/21*i**t. Determine f so that x(f) = 0.
-4
Let n be 8/196*(78 - 71). Factor -n*o**2 + 0 + 6/7*o.
-2*o*(o - 3)/7
Let q(r) be the second derivative of -r**6/15 + 4*r**5/5 - 13*r**4/6 + 2*r**3 + 1537*r. Factor q(o).
-2*o*(o - 6)*(o - 1)**2
Let k(s) be the first derivative of 0*s + 122 - s**3 + 0*s**2 + 3/4*s**4. Factor k(p).
3*p**2*(p - 1)
Suppose 0 = -897*x + 949*x - 156. Let a(v) be the second derivative of -1/4*v**x + 5*v + 0*v**2 + 1/8*v**4 + 0. Factor a(j).
3*j*(j - 1)/2
Let m be 7/((-1386)/(-24))*11. Find b, given that m*b - 16/9 + 4/9*b**2 = 0.
-4, 1
Suppose 12*g - 18 = 18. What is d in 2 + 0 + 6725*d - 6732*d - 5*d**g + 9*d**2 + d**4 = 0?
1, 2
Let q(w) be the second derivative of w**7/21 - 23*w**6/3 - 25*w**5/2 + 1055*w**4/6 - 1280*w**3/3 + 464*w**2 - 1083*w + 3. Factor q(d).
2*(d - 116)*(d - 1)**3*(d + 4)
Let h(q) be the third derivative of q**6/240 - 4*q**5/15 + 61*q**4/48 - 5*q**3/2 + 205*q**2 - 2*q. Solve h(d) = 0 for d.
1, 30
Suppose 37*w = -141 - 7. Let x(t) = -14*t**2 + 104*t - 1348. Let j(b) = 17*b**2 - 104*b + 1347. Let i(f) = w*j(f) - 5*x(f). Let i(m) = 0. What is m?
26
Let b(f) be the third derivative of -f**5/450 - 11*f**4/90 - 7*f**3/3 - 2215*f**2. Solve b(l) = 0 for l.
-15, -7
Let f**2 + 31*f + 15619 - 8182 - 7797 = 0. What is f?
-40, 9
Let v(n) = 7*n**2 + 208*n - 194. Let b(m) = -8*m**2 - 212*m + 192. Let k(s) = 3*b(s) + 4*v(s). Let k(o) = 0. Calculate o.
-50, 1
Let f = -1321391 + 3964175/3. Factor 0*x - 2/3*x**4 + 2/3*x**5 + 0 + 2/3*x**2 - f*x**3.
2*x**2*(x - 