h**2 + 96*h - 2024. Let n(d) = 12*f(d) - 5*x(d). Let n(o) = 0. Calculate o.
-23, 11
Let c(v) be the second derivative of v**6/45 - 601*v**5/90 - 1009*v**4/54 - 203*v**3/27 + 202*v**2/9 - 3530*v. Let c(l) = 0. Calculate l.
-1, 1/3, 202
What is j in 27*j**3 + 79/3*j**2 + 1/3*j**4 - 80/3 - 27*j = 0?
-80, -1, 1
Suppose 0 + 0*j - 412/5*j**3 + 88/5*j**4 - 504/5*j**2 - 4/5*j**5 = 0. What is j?
-1, 0, 9, 14
Suppose 16 - 192 = -11*g. Factor -50*m**5 + 0*m**2 + 12*m**4 - 47*m**5 + 101*m**5 - g*m**2.
4*m**2*(m - 1)*(m + 2)**2
Let a be -29 - 21450/(-690) - ((-24)/(-69))/4. Factor 6 + 3/8*q**a + 15/4*q.
3*(q + 2)*(q + 8)/8
Factor 201/2*j**2 + 9/2*j**3 + 42 + 128*j.
(j + 21)*(3*j + 2)**2/2
Let k(q) be the second derivative of -7*q**6/30 - 543*q**5/5 + 1247*q**4/4 - 469*q**3/3 - 312*q**2 + 187*q. Let k(s) = 0. What is s?
-312, -2/7, 1
Let c(r) be the second derivative of r**4/27 + 190*r**3/27 + 728*r**2/9 - 943*r. Determine i so that c(i) = 0.
-91, -4
Suppose 3*v - 4*u + 1 = 0, -3*v - 5*u + 37 = 2. Factor 50*z**3 - 4*z**3 + 24*z**3 - v*z**4.
-5*z**3*(z - 14)
Let d(y) be the third derivative of y**5/15 + 47*y**4/6 + 228*y**3 - 418*y**2. Factor d(f).
4*(f + 9)*(f + 38)
Let u = 652 - 640. Let l(c) = c**3 + 2*c**2 - 3*c + 2. Let j be l(-3). Factor u + 16*y**j + 18*y + 60*y**3 - 54*y - 4.
4*(y + 1)*(3*y - 1)*(5*y - 2)
Factor 43*i - 2*i**2 - 189*i + 64*i + 52*i - 83 - 25.
-2*(i + 6)*(i + 9)
Let m(l) be the first derivative of -1 + 2/15*l**3 - 24*l + 3/50*l**5 + 0*l**2 - 7/30*l**4. Let q(j) be the first derivative of m(j). Factor q(c).
2*c*(c - 2)*(3*c - 1)/5
Let o(n) be the first derivative of 7 - 1/2*n**2 + 2/9*n**3 - 1/45*n**5 + 0*n**4 + 0*n. Let z(b) be the second derivative of o(b). Let z(d) = 0. What is d?
-1, 1
Let -7*t**4 - 42*t**2 + 106*t**2 - 17*t**3 - t**5 - 30*t**2 - 51*t**2 - 6*t = 0. Calculate t.
-3, -2, -1, 0
Suppose 5*a = 9*d - 7*d + 203, -3*a + 118 = -5*d. Factor a*r + 18*r**2 - 61*r + 75*r**3 + 2*r**2.
5*r*(3*r + 2)*(5*r - 2)
Solve 0*c**2 - 30*c - 51*c + 6*c**2 - 2*c**2 + 174 - 7*c**2 = 0.
-29, 2
Suppose -16 = -4*h - 4*p, -5*h - 7*p + 8*p = -8. Suppose -2*f + 10 = -3*o, h*f = 5*o + f + 5. Factor 5/4*w**2 + 0*w + o.
5*w**2/4
Let i(r) be the third derivative of -1/54*r**4 + 62*r**2 - 1/9*r**3 + 0*r + 0 + 1/270*r**5. Solve i(f) = 0 for f.
-1, 3
Let j = 1887/4274 + 125/2137. Factor -3*b + j*b**2 + 9/2.
(b - 3)**2/2
Let v(g) = g**3 - 2*g**2 + g + 3. Suppose -13*x = 18*x - 21*x. Let c be v(x). Factor -2/3*s**2 + 6/5 + 2/5*s + 2/15*s**c.
2*(s - 3)**2*(s + 1)/15
Let a(h) be the first derivative of 32 + 9/2*h**6 + 0*h**3 + 21/5*h**5 - 3/2*h**4 + 0*h**2 + 0*h. Factor a(c).
3*c**3*(c + 1)*(9*c - 2)
Let l(x) = -3*x + 6 - 11*x**2 - 1 + x**3 + 1 + 2*x**3. Let o be l(4). Factor -o*s**2 + 11*s**3 + 18*s + 8 - 9*s**3 + 22*s**2.
2*(s + 1)**2*(s + 4)
Suppose -13 = -9*g + 5. Suppose 4*t - 4 = i, g*i - t = -6*t + 18. Factor 41*r**3 + 4*r**i - 44*r**3 - r**4.
3*r**3*(r - 1)
Let k be 8*-1*14/(-56). Find u, given that 8*u - u**2 - u**2 - 8*u**2 - 2*u**3 + 2*u**k + 32 = 0.
-4, -2, 2
Let a(i) be the third derivative of i**6/660 + 19*i**5/330 - 7*i**4/22 + 4*i**2 - 3*i + 71. Find l, given that a(l) = 0.
-21, 0, 2
Factor 174/5*o**2 - 1/5*o**3 + 531/5*o + 0.
-o*(o - 177)*(o + 3)/5
Let i be (-4)/72*(36/(-96) + 0). Let g(h) be the second derivative of 1/12*h**3 + i*h**4 + 0 - 17*h + 1/8*h**2. Factor g(a).
(a + 1)**2/4
Let h(c) be the third derivative of -139*c**2 + 0 - 8/15*c**3 - 1/36*c**4 + 1/450*c**5 + 0*c. Solve h(f) = 0 for f.
-3, 8
Let b be ((-6)/(-18))/(7/6 + -1). Suppose s = c - 2, -b = -s - 1. Suppose -18 - 2*n**4 - 4*n**c + 4*n + 0*n**3 + 20 = 0. Calculate n.
-1, 1
Let s(k) = k**2 + 15*k + 39. Let u be s(-13). Let -l**3 - 9*l**4 + 12*l**3 - 7*l**4 + l**3 - 3*l**2 + u*l**4 - 18*l = 0. Calculate l.
-1, 0, 2, 3
Let i be (35 - (-1175)/(-30))/((-9)/18). Let b = -3 - -5. Let -10 - 65/3*y + i*y**b = 0. What is y?
-2/5, 3
Let m(a) = -10*a - 28. Let r be m(-3). Suppose 0 = 2*z - 4, 0 = -h + z + r. Determine w so that 0*w - 4/11*w**h + 0 + 0*w**2 + 6/11*w**3 - 2/11*w**5 = 0.
-3, 0, 1
Let l(x) be the third derivative of -121*x**6/120 + 187*x**5/15 - 289*x**4/6 - 2760*x**2. Determine g so that l(g) = 0.
0, 34/11
Let z = 67433/2 + -33715. Solve 0 - z*v**2 + 0*v + 1/2*v**3 = 0.
0, 3
Let u(c) be the second derivative of c**4/14 - 545*c**3/21 - 26*c**2 + 146*c + 1. Let u(l) = 0. What is l?
-1/3, 182
Factor -123421*h**2 + 2616*h**3 + 122383 + 323405 - 1143192*h + 3*h**4 + 205438 + 691087*h**2 - 78319.
3*(h - 1)**2*(h + 437)**2
Let s(q) = -17*q**2 - 291*q + 558. Let v(a) = -30*a**2 - 578*a + 1115. Let l(t) = -7*s(t) + 4*v(t). Factor l(w).
-(w - 2)*(w + 277)
Let 102*t**3 + 3*t**4 - 160014*t + 864 + 478*t**2 + 158394*t + 173*t**2 = 0. What is t?
-24, -12, 1
Let j = -3702 + 14809/4. Let o(l) be the second derivative of -2*l**3 - 8*l - j*l**4 + 0 - 9/2*l**2. Factor o(w).
-3*(w + 1)*(w + 3)
Let y(w) be the first derivative of -w**3/5 - 78*w**2/5 + 99*w - 317. Let y(z) = 0. What is z?
-55, 3
Let g = 343988 + -2407712/7. Suppose -48/7 - 3*i**3 - g*i - 132/7*i**2 = 0. What is i?
-4, -2, -2/7
Let t(r) be the second derivative of -r**7/14 + 14*r**6/5 - 231*r**5/20 + 25*r**4/2 + 2*r - 74. Determine p, given that t(p) = 0.
0, 1, 2, 25
Suppose -2*s = 5*f - 1072, -4*s - s - 20 = 0. Suppose -44*g - f = -47*g. Factor 69*j**2 - 140*j**2 + g*j**2.
j**2
Let u(w) be the first derivative of 0*w**4 + 1/39*w**6 + 0*w**2 + 29 + 0*w + 14/65*w**5 + 0*w**3. Factor u(m).
2*m**4*(m + 7)/13
Let o(z) = 5*z**2 + 8694*z + 3775805. Let y(f) = 30*f**2 + 52165*f + 22654830. Let m(a) = -25*o(a) + 4*y(a). Determine c, given that m(c) = 0.
-869
Determine r, given that 0 + 10*r + 2/15*r**3 + 8/3*r**2 = 0.
-15, -5, 0
Let w(c) be the second derivative of -3*c - 1/108*c**4 - 1/9*c**2 + 3 + 1/18*c**3. Factor w(i).
-(i - 2)*(i - 1)/9
Let k be 4/(-20) - 48/(-15). Suppose 10*g = k*g + 14. Factor 11*h**2 - 8*h**2 - 5*h - 8*h**g.
-5*h*(h + 1)
Suppose 121*n - 85 - 35 = 122. Let 4/7*t - 2/7*t**3 - 2/7*t**n + 0 = 0. What is t?
-2, 0, 1
Let z be ((-1560)/(-80) + -20)/((-11)/4). Factor 24/11*t**2 + z*t**3 - 24/11 - 2/11*t.
2*(t - 1)*(t + 1)*(t + 12)/11
Let g(h) be the third derivative of h**6/40 - 23*h**5/2 + 457*h**4/8 - 114*h**3 + 2428*h**2. Solve g(x) = 0 for x.
1, 228
Let q(l) = -l**3 - 93*l**2 + 687*l - 1297. Let f be q(-100). Solve 4/17*r**2 + 2/17 - 6/17*r**4 + 4/17*r**f - 6/17*r + 2/17*r**5 = 0 for r.
-1, 1
Let s(w) be the third derivative of -w**6/24 + 7*w**5/6 + 385*w**4/24 - 75*w**3 - 706*w**2 + 1. Let s(j) = 0. Calculate j.
-5, 1, 18
Let k = -1408217/7 - -201175. What is m in 2*m**3 - 16/7*m - 10/7*m**4 + 2/7*m**5 + 2/7*m**2 + k = 0?
-1, 1, 2
Let h(p) = 19*p - 180. Let o = -866 + 878. Let v be h(o). Factor -4/5*w**4 - v*w - 52/5*w**2 + 8*w**3 - 144/5.
-4*(w - 6)**2*(w + 1)**2/5
Let v(x) be the second derivative of x**7/560 + x**6/60 - 11*x**5/80 + 7*x**4/4 - x + 7. Let d(i) be the third derivative of v(i). Factor d(y).
3*(y - 1)*(3*y + 11)/2
Let q be ((-352)/72 - -12) + (-2)/18. Suppose f + 5 = -2*t + 6*t, -4*t - q = -5*f. Find u such that 0*u + 1/2*u**3 + 0 + f*u**2 = 0.
-6, 0
Factor -4928*d**4 + 4933*d**4 + 6*d**2 + 4*d**2 - 15*d**3.
5*d**2*(d - 2)*(d - 1)
Let a = -3117 + 1532. Let y = -1583 - a. Suppose -7/2*z**3 + 0 - 2*z**4 + y*z**2 + 2*z + 3/2*z**5 = 0. What is z?
-1, -2/3, 0, 1, 2
Let g(v) be the second derivative of 5*v**4/4 - 770*v**3/3 - 515*v**2/2 - 3*v + 64. Factor g(n).
5*(n - 103)*(3*n + 1)
Let n(r) be the first derivative of -3*r**5/5 - 3*r**4/4 + 31*r**3 + 3*r**2/2 - 90*r + 2414. Let n(j) = 0. What is j?
-6, -1, 1, 5
Let r(g) be the first derivative of -2*g**3/9 + 472*g**2/3 - 314*g - 6294. Solve r(l) = 0.
1, 471
Let u be 456/2090 - (-28)/154. Let f = 9/20 + -1/4. Factor 1/5*y**3 + 2/5*y**2 - u - f*y.
(y - 1)*(y + 1)*(y + 2)/5
Let -41*t**4 - 96*t**3 + 9*t**2 - 192*t + 21*t**4 + 28 + 271*t**2 = 0. Calculate t.
-7, 1/5, 1
Let o = 206843 + -827369/4. Factor -o*p**2 - 75/4 + 39/2*p.
-3*(p - 25)*(p - 1)/4
Let f(u) be the first derivative of -u**8/1848 + 2*u**7/1155 - u**5/165 + u**4/132 + 3*u**2 + 7*u + 69. Let n(v) be the second derivative of f(v). Factor n(t).
-2*t*(t - 1)**3*(t + 1)/11
Let q(j) be the second derivative of -1/2*j**2 - 2 + 1/30*j**6 - 1/10*j**5 + 1/3*j**3 - 7*j + 0*j**4. Suppose q(s) = 0. What