v(i) = -2*i**2 + 6*i + 6*i**2 + i + 3*i**2. Let n(c) = -6*m(c) + v(c). Find g, given that n(g) = 0.
-1, 0
What is f in -42632 - 5*f**2 + 636*f + 5*f**2 - 2*f**2 - 52*f = 0?
146
Suppose -9 = -z + h, h - 13 = -4*z + 3. Suppose 0 = -m + 3*l - 0 - 3, z = 3*m + 5*l. Factor -5/4*u**4 + 0*u + 1/2*u**2 + m + 3/4*u**3.
-u**2*(u - 1)*(5*u + 2)/4
Let t(a) be the second derivative of 2*a**7/147 + 8*a**6/35 - 58*a**5/35 + 92*a**4/21 - 6*a**3 + 32*a**2/7 + 9*a + 7. Factor t(k).
4*(k - 1)**4*(k + 16)/7
Let t(m) be the second derivative of -5*m**7/42 + m**6/2 - m**5/2 - 5*m**4/6 + 5*m**3/2 - 5*m**2/2 - 80*m. Factor t(d).
-5*(d - 1)**4*(d + 1)
Let d be ((-20)/(-45))/(22/297). Let b(o) be the third derivative of 11*o**2 + 0*o**3 + 0*o**5 + 1/420*o**d - 1/84*o**4 + 0*o + 0. Factor b(a).
2*a*(a - 1)*(a + 1)/7
Let o be 36/(-15)*(2/(-6) - 3). Let h be (-10)/(-45) - o/36. Let h*u**3 + 0 + 0*u + 0*u**2 + 3/4*u**4 - 3/4*u**5 = 0. Calculate u.
0, 1
Let r be (-2)/(8/(6 + -2)). Let a be (-5 + 8)/((-1)/r). Let 13*j - 3*j - 9*j**2 + 3*j**3 - a - j = 0. What is j?
1
Let g(n) = 3*n**4 + 7*n**3 + 8*n**2 - 16*n + 2. Let a(l) = 4*l**4 + 7*l**3 + 8*l**2 - 16*l + 3. Let j(z) = 2*a(z) - 3*g(z). Factor j(d).
-d*(d - 1)*(d + 4)**2
Let f(k) = -131*k**2 + 1398*k - 3918. Let j(h) = 920*h**2 - 9785*h + 27425. Let d(y) = -15*f(y) - 2*j(y). Factor d(t).
5*(5*t - 28)**2
Let b(x) be the third derivative of -x**5/15 - x**4/3 + 16*x**3/3 + 12*x**2 - 3*x. Let b(p) = 0. What is p?
-4, 2
Let a(h) be the first derivative of 3*h**4/20 - 21*h**3/5 + 6*h**2 + 82. Determine x so that a(x) = 0.
0, 1, 20
Let l be -1 + 8 - (-1 + -2). Let i be (-15)/l - 26/(-4). What is g in -6*g**4 + 2*g**5 + g**i + 4*g**5 - 4*g**5 = 0?
0, 2
Suppose 4 + 16 = 5*s. Suppose 4*i - s*h + 9*h + 12 = 0, -6 = -i + h. Factor 10*j**3 - 4*j**4 - 6*j**2 + i*j**2 - 2*j**3.
-4*j**2*(j - 1)**2
Factor -34 + 39*i**2 + 36*i**3 + 61 + 81 + 144*i - 33*i**3.
3*(i + 1)*(i + 6)**2
Let r(v) be the third derivative of 1/120*v**4 + 4*v**2 + 0 + 0*v - 1/100*v**5 - 1/600*v**6 + 1/10*v**3. Factor r(k).
-(k - 1)*(k + 1)*(k + 3)/5
Let u = -875 - -878. Solve 20/7*n**2 + 0 + 24/7*n + 4/7*n**u = 0.
-3, -2, 0
Suppose 4*h + 2*u + u = -3, 2 = 3*h - 2*u. Find n, given that -229*n**2 + 228*n**2 + h + 2 - n = 0.
-2, 1
Let z(j) = -j**3 + 5*j**2 + 7*j - 13. Let m be z(6). Let g = m + 10. Solve -6*c**3 + c**2 - c**g + 7*c**2 + 3*c**3 = 0 for c.
0, 2
Let p(w) be the second derivative of -w**7/63 - 4*w**6/135 + 13*w**5/90 + w**4/9 - 20*w**3/27 + 8*w**2/9 + 40*w. Suppose p(v) = 0. What is v?
-2, 2/3, 1
Let y be 3 + 1/((-3)/(-6)) + (-782)/170. Suppose 0 + 4/5*b + y*b**2 = 0. Calculate b.
-2, 0
Let g be (-85)/(-10) + 3/(-9)*-3. Let k = g - 9. Determine y so that k*y**2 + 0 - y = 0.
0, 2
Let q(r) be the first derivative of 5 + 0*r**3 + 0*r**2 - 4*r + 0*r**4 + 1/21*r**7 - 1/15*r**6 + 0*r**5. Let m(b) be the first derivative of q(b). Factor m(s).
2*s**4*(s - 1)
Determine b so that 11043200*b + 1204*b**4 + 1187768/7*b**3 + 8075680*b**2 + 3136000 + 20/7*b**5 = 0.
-140, -1, -2/5
Factor -3/4*f**2 - 213/2 + 429/4*f.
-3*(f - 142)*(f - 1)/4
Let w(b) be the second derivative of b**7/14 - 3*b**5/5 + b**4/2 + 3*b**3/2 - 3*b**2 + 3*b + 30. Solve w(a) = 0.
-2, -1, 1
Let s(z) be the second derivative of -z**4/36 + 11*z**3/18 - 5*z**2/3 - 21*z + 2. Determine v, given that s(v) = 0.
1, 10
Let f(n) be the third derivative of -n**6/24 - 7*n**5/6 - 245*n**4/24 - 432*n**2. Find h such that f(h) = 0.
-7, 0
Let f = -6/155 + 364/1395. Factor -8/9*u - 8/9*u**2 - f*u**3 + 0.
-2*u*(u + 2)**2/9
Suppose 5*s - 12 = -s. Factor -4*v**3 + 5*v**s - 11*v**2 - 2*v**2.
-4*v**2*(v + 2)
Let q(k) be the second derivative of -k**6/10 + 12*k**5/5 - 39*k**4/2 + 40*k**3 + 525*k**2/2 - k - 143. Solve q(m) = 0 for m.
-1, 5, 7
Solve 255*z + 191 + 158 + 35*z**2 + 51 = 0.
-5, -16/7
Find t, given that t**3 + 3/4*t**4 + 15*t - 21/2*t**2 - 25/4 = 0.
-5, 1, 5/3
Suppose 892*g = 882*g + 30. Let q(z) be the second derivative of 2*z**4 - 11*z - 7/2*z**3 + g*z**2 - 3/10*z**5 + 1/14*z**7 + 0 - 1/5*z**6. Factor q(c).
3*(c - 1)**4*(c + 2)
Let t = -815/12 - -68. Let p(s) be the first derivative of -1/8*s**4 - 7 + t*s**3 + 0*s - 1/20*s**5 + 1/4*s**2. Suppose p(g) = 0. Calculate g.
-2, -1, 0, 1
Let n = 72094/67 + -1076. Let t = n + 124/335. Factor -t*w**2 + 16/5*w - 32/5.
-2*(w - 4)**2/5
Factor 5/3*q + 0 - 2*q**2 + 1/3*q**3.
q*(q - 5)*(q - 1)/3
Let f = -3941 + 3943. Factor -4/13*m**3 + 10/13*m**4 + 0*m + 0*m**f - 6/13*m**5 + 0.
-2*m**3*(m - 1)*(3*m - 2)/13
Let i(v) be the second derivative of v**7/1680 + v**6/360 - v**5/60 - v**4/6 - 10*v**3/3 - 4*v. Let g(q) be the second derivative of i(q). Factor g(j).
(j - 2)*(j + 2)**2/2
Let a(u) = -4*u + 26. Let i be a(6). Solve i - 24*n**5 - 4*n**2 + 12*n**5 + 10*n**5 + 4*n**3 + 2*n**4 - 2*n = 0.
-1, 1
Let r(w) be the third derivative of -w**5/390 + w**4/39 - 4*w**3/39 + 69*w**2. Find l such that r(l) = 0.
2
Let m(r) be the first derivative of -3*r**5/80 + 11*r**4/48 - r**3/2 + r**2/2 + 3*r - 6. Let b(t) be the first derivative of m(t). Suppose b(n) = 0. What is n?
2/3, 1, 2
Let x be (-5761)/(-28) + 1/4. What is q in 61*q**3 + q - 556*q**3 - 62*q**2 + 363*q**4 - 13*q + x*q**2 = 0?
0, 2/11, 1
Solve 38/15*g**3 + 2/15*g**4 + 22/3*g**2 + 0 - 242/5*g = 0.
-11, 0, 3
Let w(m) be the first derivative of 0*m**2 + 0*m + 1/12*m**4 + 8 - 2/9*m**3 + 1/15*m**5. Factor w(l).
l**2*(l - 1)*(l + 2)/3
Suppose -2*s + 5*s + u - 124 = 0, 77 = 2*s - 5*u. Let b = s + -81/2. Factor b*z + 1/4 + 1/4*z**2.
(z + 1)**2/4
Let u = -3 - -4. Let g be u/(-2) + (-20)/(-8). Solve 2*x**3 - x**2 - x - x**3 + x**4 + 0*x**g + 0*x = 0 for x.
-1, 0, 1
Let v be (2 - 1) + 9*(-4 + 387/99). Find y such that -v*y**2 + 12/11*y - 18/11 = 0.
3
Let p(o) = -3*o**2 - 61*o - 18. Let i be p(-20). Suppose -3*b - i*n = -n - 6, 5*n = b - 2. Find f such that f + 2/3 + 1/3*f**b = 0.
-2, -1
Let y(g) be the second derivative of -g**6/50 - 21*g**5/100 + 3*g**4/2 - 2*g**3/5 - 12*g**2 - 77*g + 2. Determine s so that y(s) = 0.
-10, -1, 2
Let a = -2242/145 - -460/29. Determine o, given that -2/5*o + 0*o**4 + 4/5*o**3 + 0*o**2 + 0 - a*o**5 = 0.
-1, 0, 1
Determine h so that -68/9 - 2/9*h**2 - 70/9*h = 0.
-34, -1
Let d(w) = 9*w - 223. Let k be d(25). Let y(j) be the first derivative of 5/16*j**4 + 5/4*j**k + 0*j - 5/4*j**3 + 8. Factor y(q).
5*q*(q - 2)*(q - 1)/4
Let s(k) = -6*k**3 - 51*k**2 + 3*k. Let f(t) = 5*t**3 + 49*t**2 - 2*t. Let w(n) = -3*f(n) - 2*s(n). Determine y, given that w(y) = 0.
-15, 0
Let z(t) be the first derivative of 4*t**7/105 - t**6/10 + t**5/15 - 4*t**2 + 4. Let x(f) be the second derivative of z(f). Determine q so that x(q) = 0.
0, 1/2, 1
Let v be (-32)/(-14) + 415/581. Solve 6/11*x**v + 34/11*x - 12/11 + 2/11*x**4 - 30/11*x**2 = 0 for x.
-6, 1
Suppose 4*i - i - 36 = 0. Factor -8*w**2 - 14 - 7*w**2 - i*w + 17*w**2.
2*(w - 7)*(w + 1)
Let f(p) be the first derivative of p**4/7 - 152*p**3/21 + 722*p**2/7 - 563. Determine i, given that f(i) = 0.
0, 19
Let n(r) be the first derivative of r**4/2 - 44*r**3/3 - 345. Suppose n(t) = 0. What is t?
0, 22
Let j be ((-12)/18)/(1/(-1)) - 0/2. Solve j*x**4 + 5/3*x + 16/3*x**2 + 0 + 13/3*x**3 = 0 for x.
-5, -1, -1/2, 0
Let f = -412 + 417. Let p(a) be the first derivative of 3/5*a**f - 3*a**4 + 0*a + 0*a**2 + 4*a**3 - 6. Factor p(m).
3*m**2*(m - 2)**2
Let h(b) be the third derivative of 4*b**2 - 1/80*b**5 + 0*b - 1/480*b**6 - 1/48*b**4 + 0*b**3 + 0. Factor h(n).
-n*(n + 1)*(n + 2)/4
Let a(i) be the second derivative of -i**7/5040 + i**6/720 + i**4/4 + 9*i. Let d(h) be the third derivative of a(h). Let d(o) = 0. Calculate o.
0, 2
Let y(l) be the second derivative of -l**6/35 + 3*l**5/35 - l**4/14 - 111*l + 2. Factor y(n).
-6*n**2*(n - 1)**2/7
Let j(m) be the second derivative of m**4/102 + 286*m**3/51 + 20449*m**2/17 - 161*m. Factor j(i).
2*(i + 143)**2/17
Solve 0*h + 6/5*h**2 + 3/5*h**4 + 0 - 9/5*h**3 = 0.
0, 1, 2
Let l(f) = f**2 - 5*f + 2. Let c be l(5). Let r(d) = -d**2 + 5*d - 3. Let w be r(c). Factor 0*p + w*p**2 + 3*p + 3 + 3*p.
3*(p + 1)**2
Let v be 8/56 + 58/(-14). Let n be (-276)/(-24) + 6/v. Determine t, given that 9*t - 6*t**2 + 21*t**2 - n + 4 = 0.
-1, 2/5
Let w(m) be the first derivative of m**6/2 - 9*m**5/5 - 3*m**4/4 + 7*m**3 - 12*m + 180. Let w(h) = 0. Calculate h.
-1, 1, 2
Let o = -69