 + 2 = 0. What is m?
2/25, 1
Suppose 18*o + x - 68 = 14*o, -4*o - 4*x + 56 = 0. Suppose 49 - 13 = o*z. Factor -20/3*r + z*r**2 - 16/3.
2*(r - 4)*(3*r + 2)/3
Let b be (-77)/1463 - 626/(-342). What is g in 2/9*g**5 - b*g + 0 - 4/9*g**3 + 2/3*g**4 - 8/3*g**2 = 0?
-2, -1, 0, 2
Suppose 9*x - x = -904. Let y = x - -116. Solve -k**4 - 5*k**4 - y*k**2 - 20*k**3 + 11*k**3 = 0 for k.
-1, -1/2, 0
Solve -5/2*g**2 - 1440 - 120*g = 0.
-24
Let b(p) be the third derivative of -p**3 - 1/480*p**5 + 0 - 1/64*p**4 + 1/2880*p**6 + 0*p - 7*p**2. Let y(z) be the first derivative of b(z). Factor y(n).
(n - 3)*(n + 1)/8
Let b(l) be the third derivative of -l**6/80 + l**5/2 - 61*l**4/16 - 105*l**3/2 + 1235*l**2. Factor b(x).
-3*(x - 15)*(x - 7)*(x + 2)/2
Suppose 0 = -4*u + 4, 4*u + 151 + 13 = 4*j. Suppose -8*a = 13*a - j. Solve 4/3*o**a + 0 + 4*o = 0 for o.
-3, 0
Let p(n) be the third derivative of 7*n**6/60 + 26*n**5/5 + 779*n**4/12 + 70*n**3 + 15*n**2 + 31. Factor p(x).
2*(x + 7)*(x + 15)*(7*x + 2)
Let p be (-2*3924/840 + 9)/(16/(-120)). Suppose 2/7*z - p*z**2 + 18/7 - 2/7*z**3 = 0. What is z?
-9, -1, 1
Let b(o) be the second derivative of -19/42*o**3 + 0*o**2 + 1/84*o**4 + 2*o + 27. Determine k so that b(k) = 0.
0, 19
Let u(i) = -i**2 + i + 1. Let t(d) = -10*d**3 + 35*d**2 - 25*d - 30. Let y be (-20)/30 + 92/3. Let m(k) = y*u(k) + t(k). Factor m(q).
-5*q*(q - 1)*(2*q + 1)
Let g be ((-2560)/7840)/(6/(-147)) + (-2 - (2 - -1)). Factor -384*n + 2379/2*n**2 + 507/2*n**g + 30.
3*(n + 5)*(13*n - 2)**2/2
Let s(y) be the second derivative of 3/20*y**5 + 3/2*y**4 - 18*y**2 + 0 - 17*y + 5/2*y**3. Factor s(a).
3*(a - 1)*(a + 3)*(a + 4)
Let -2/7*v**2 + 75/7 - 80/7*v - 1/7*v**4 + 8/7*v**3 = 0. What is v?
-3, 1, 5
Suppose -5*j - 2*k = -1854, -3*k + 366 = j - k. Let i = 1866/5 - j. Factor i*x**4 + 2*x**5 + 0 - 4/5*x**3 + 0*x + 0*x**2.
2*x**3*(x + 1)*(5*x - 2)/5
Suppose -2/9*q**2 - 1262/9*q - 140 = 0. What is q?
-630, -1
Let l(j) be the third derivative of j**8/714 - j**7/1785 - 7*j**6/85 - 59*j**5/510 + 5*j**4/51 + 3272*j**2. Determine q so that l(q) = 0.
-4, -1, 0, 1/4, 5
Let h(m) be the third derivative of m**5/120 + 7*m**4/6 + 53*m**3/4 + 12*m**2 - 1. Factor h(d).
(d + 3)*(d + 53)/2
Let f(u) = 19*u**3 + 102*u**2 + 636*u + 376. Let j(m) = 2*m**3 - m**2 + 3*m + 2. Let s(w) = -3*f(w) + 24*j(w). Factor s(t).
-3*(t + 6)*(t + 30)*(3*t + 2)
Let y(b) = -24*b**3 + 1771*b**2 + 2212*b + 443. Let h(u) = -154*u**3 + 10628*u**2 + 13271*u + 2658. Let m(j) = -6*h(j) + 39*y(j). Factor m(c).
-3*(c - 443)*(c + 1)*(4*c + 1)
Let w = -17027/2 - -8514. Suppose 0*r + 4*r - 8 = 0. Suppose w*o - 1/4*o**r + 0 = 0. What is o?
0, 2
Let w(x) be the second derivative of -26*x**6/5 + 23*x**5 - 24*x**4 - 8*x**3/3 - 1120*x. Determine i so that w(i) = 0.
-2/39, 0, 1, 2
Let n(o) = -14*o**4 - 112*o**2 - 116*o + 10. Let l(d) = -4*d**4 + d**3 - 37*d**2 - 39*d + 3. Let g(u) = -10*l(u) + 3*n(u). Factor g(r).
-2*r*(r - 3)*(r + 1)*(r + 7)
Suppose 30 = 5*z + 4*j, -2*z - z - 14 = -4*j. Suppose -z*l + 38 + 2 = 0. Factor 2*n**3 + 2 + 12*n**2 + 16*n**3 - l*n + 2 + 18*n**3.
4*(n + 1)*(3*n - 1)**2
Factor -8/7*r**4 + 0 + 0*r + 12/7*r**3 + 1/7*r**5 + 0*r**2.
r**3*(r - 6)*(r - 2)/7
Let v = 265 - 215. What is q in 16*q**2 - v + 143 - 31*q**2 + 42*q + 16*q**2 + 348 = 0?
-21
Let p be (2/24)/(16750/2000 - 26/4). Let m(d) be the second derivative of 1/5*d**2 - 1/90*d**4 + 0 + 8*d - p*d**3. Determine v, given that m(v) = 0.
-3, 1
Solve -3780*c**2 + 3*c**4 + 62 - 996 - 160 - 3786*c - 169 - 1254*c**3 = 0.
-1, 421
Let o be 1*(4 + 12*2). Suppose 3*f + 2*f = -10, 4*f + o = 4*w. What is j in -w*j**3 + j**3 - 4*j**2 + 2*j - 2*j = 0?
-1, 0
Let a = 38366/5215 - 53/745. Solve 9/7*c**2 + a*c - 18/7 = 0.
-6, 1/3
Suppose 822 = -24*o + 894. Factor -108/5 + 9*g + 6/5*g**2 - 3/5*g**o.
-3*(g - 3)**2*(g + 4)/5
Let w(b) be the third derivative of 1/24*b**3 + 0 + 1/240*b**5 + 59*b**2 + 0*b + 1/48*b**4. Determine p, given that w(p) = 0.
-1
Suppose 2 = 4*y - 42. Suppose -y*t + 4*t + 3416 = 0. Let -509 + t + 0*f**2 + 3*f**2 - 18*f = 0. What is f?
-1, 7
Let u(h) be the second derivative of -h**4/48 + 43*h**3/12 - 85*h**2/8 + 276*h. What is p in u(p) = 0?
1, 85
Let h(r) = 46*r + 371. Let z = -421 + 413. Let p be h(z). Solve 0 + 2/11*f + 0*f**2 - 2/11*f**p = 0.
-1, 0, 1
Suppose 11*k - 315 = 6*k. Let w = k - 60. Suppose 36*i**4 + 49*i - 120*i**w + 36 + 39*i**5 + 184*i**2 - 181*i - 43*i**5 = 0. What is i?
1, 3
Let c(b) be the first derivative of -1/54*b**6 + 0*b**2 - 1/3*b**5 - 13/18*b**4 + 0*b + 0*b**3 - 6. Factor c(k).
-k**3*(k + 2)*(k + 13)/9
Let r(u) = -2*u**2 + 26*u + 4. Let d be r(13). Let l be 5 + (-1 - (d - 3)). Factor 4 + 4*j**2 + 45 - 14*j - l*j**2.
(j - 7)**2
Let y(b) = -b**2 - b - 1. Let q(t) = -12*t**2 + 2 + 17*t + 5*t**2 + 2*t**2 - 2*t**2 + 15*t**2. Let f(u) = -4*q(u) - 36*y(u). Determine o, given that f(o) = 0.
1, 7
Let t = 857 + -212. Suppose -4*w**3 + 34*w - 591*w**2 + t*w**2 - 12 + 12*w**3 = 0. Calculate w.
-6, -1, 1/4
Let m(w) be the third derivative of -3/8*w**4 + 3*w**3 + 0*w + 1/60*w**5 - 138*w**2 + 0. Determine y so that m(y) = 0.
3, 6
Determine i, given that -4/3*i**2 - 3640/3*i - 828100/3 = 0.
-455
Let w(k) be the first derivative of -32/9*k + 16/9*k**2 + 2/45*k**5 - 12 - 2/9*k**4 + 0*k**3. Determine o, given that w(o) = 0.
-2, 2
Suppose 0 = -2*k - o + 556, 0*k - 5*k + 5*o = -1360. Let d = k - 1372/5. Factor 6/5*h**2 - 2/5*h - d.
2*(h + 1)*(3*h - 4)/5
Determine l so that 500/3*l**2 + 0 + 35*l**4 + 32*l + 232*l**3 - 25/3*l**5 = 0.
-3, -2/5, 0, 8
Let m(j) = -38*j**3 - 5*j**2 - 15*j + 4. Let b be m(-5). Factor -4*h**4 + 15206*h + 224*h**3 - b*h**2 - 93813 + 28698*h - 59851.
-4*(h - 14)**4
Let k(h) be the third derivative of 19*h**2 - 1/120*h**5 + 11/48*h**4 + 0 + 0*h - 5/6*h**3. Factor k(p).
-(p - 10)*(p - 1)/2
Let w be (-2)/(-21) + (-635613)/(-129591). Let x = -1510/9 - -168. Let x*p - 4/9*p**3 + 4/9 + 4/9*p**4 + 2/9*p**w - 8/9*p**2 = 0. Calculate p.
-2, -1, 1
Let q be (3/36)/(-1) + (-10234)/(-408). Let k(z) be the second derivative of -7*z + 1/6*z**4 + 10/3*z**3 + q*z**2 + 0. Solve k(v) = 0 for v.
-5
Let q(z) be the third derivative of -z**6/100 + 1029*z**5/50 - 352947*z**4/20 + 40353607*z**3/5 - z**2 - 920*z. Let q(g) = 0. What is g?
343
Let i be -7 - -4 - -3 - 2*-27. Suppose 44*o + 20 = i*o. Factor 2 + 25/4*t**4 + 55/4*t**3 - 3/2*t**o - 7*t.
(t + 1)*(t + 2)*(5*t - 2)**2/4
Suppose -77 = -4*k + 4*l - 29, 0 = 2*l - 6. Let p(j) = j**3 - 16*j**2 + 14*j + 17. Let v be p(k). Factor -12*d**3 + 11*d**3 + d**2 - 4*d - 5*d**v.
-d*(d + 2)**2
Let g = -8319/62 + 238/31. Let d = g + 127. Solve d*p**2 + 0*p + 3/2*p**4 + 1/2*p**5 + 0 + 3/2*p**3 = 0 for p.
-1, 0
Let h = 629170 - 629168. Suppose -56/3 - h*c**2 - 16*c + 2/3*c**3 = 0. What is c?
-2, 7
Suppose -152*d - 28 = -145*d. Let u be (10/(-3) - d)/((-20)/(-12)). Solve -4/5*n**3 + 4/5*n + 0*n**2 + u*n**4 - 2/5 = 0.
-1, 1
Let n(r) be the first derivative of 8/3*r**3 + 0*r + 35 + 1/3*r**4 + 6*r**2. Factor n(c).
4*c*(c + 3)**2/3
Let f(o) = -21*o**2 + 8*o + 173. Let v(t) = 59*t**2 - 25*t - 518. Let i(r) = -14*f(r) - 5*v(r). Determine p so that i(p) = 0.
-8, 21
Factor 1808/5 - 4/5*r**2 - 436/5*r.
-4*(r - 4)*(r + 113)/5
Let s(g) be the first derivative of 2*g**5/5 - 19*g**4/2 + 22*g**3 + 19*g**2 - 68*g - 896. Let s(l) = 0. What is l?
-1, 1, 2, 17
Let i(n) be the first derivative of 4*n**3/3 - 114*n**2 + 224*n - 1805. Factor i(d).
4*(d - 56)*(d - 1)
Let r(o) be the third derivative of -1/4*o**5 - 4*o**2 - 9 + 0*o**3 + 0*o**4 + 3/40*o**6 + 0*o + 1/35*o**7. Determine a, given that r(a) = 0.
-5/2, 0, 1
Let -12*b + 0 + 62/5*b**2 - 2/5*b**3 = 0. What is b?
0, 1, 30
Let f = -9261 - -9264. Factor 4/5*p**2 + 1/5*p**f + 3/5*p + 0.
p*(p + 1)*(p + 3)/5
Let t(g) be the first derivative of -2*g**3/51 - 9*g**2/17 + 440*g/17 - 1216. Factor t(o).
-2*(o - 11)*(o + 20)/17
Let w(o) be the first derivative of -o**4/3 - 8*o**3/3 - 8*o**2 + 76*o + 65. Let l(a) be the first derivative of w(a). Solve l(m) = 0.
-2
Let v = 7898 - 7894. Let a(o) be the second derivative of 0 + 0*o**2 + 1/96*o**v + 0*o**3 - 19*o. Factor a(x).
x**2/8
Let j = 2166566/291655 + 2/41665. Factor j*q - 20/7*q**2 + 24/7.
-4*(q - 3)*(5*q + 2)/7
Let k(b) be the first derivative of b**6/36 + 13*b**5/30 + 2*b**4 + 2*b**3 + 4130. Factor k(z).
z**2*(z + 1)*(z + 6)