o?
-4, 0, 2/5
Let w be 15 + -14 - (1 - 2). Suppose -28 = -0*r - w*r. Let 2*c**3 + r*c**4 - 9*c**4 - 10*c + 12*c**2 - 22*c**3 + 13*c**2 = 0. What is c?
0, 1, 2
Let q(a) be the second derivative of -a**5/80 + 3*a**4/16 - 13*a**3/12 + 3*a**2 - 338*a. Factor q(b).
-(b - 4)*(b - 3)*(b - 2)/4
Suppose 2*b + 3 = 3*b. Let k(m) = -m**3 - 9*m**2 + 4*m + 38. Let h be k(-9). Factor h*q**4 - b*q - 4*q**2 - 3*q**4 + 4*q**3 + 3*q.
-q**2*(q - 2)**2
Let y(x) = x**3 - 13*x**2 + 22*x + 2. Let n be y(11). Factor -13*s**n + 19*s**2 - 14*s**2 - 12*s + 4*s**3.
4*s*(s - 3)*(s + 1)
Let a(h) be the third derivative of h**8/672 - h**7/140 - h**6/80 + 11*h**5/120 - h**4/8 + 18*h**2 - 3. Factor a(d).
d*(d - 3)*(d - 1)**2*(d + 2)/2
Let o(y) = 3*y**4 - 127 + 63 + 62 - 4*y**2 + 3*y**3. Let n(t) = -t**5 - 6*t**4 - 6*t**3 + 9*t**2 + 5. Let p(l) = -2*n(l) - 5*o(l). Factor p(a).
a**2*(a - 2)*(a + 1)*(2*a - 1)
Let t(l) = 3*l**2 - 245*l + 632. Let i be t(79). Factor i + 2/5*g**2 + 0*g - 1/5*g**3.
-g**2*(g - 2)/5
Let r(a) be the second derivative of -a**8/5040 + a**7/840 - a**6/540 - 5*a**3/2 - 2*a. Let s(n) be the second derivative of r(n). What is d in s(d) = 0?
0, 1, 2
Let b(d) = 3*d**2 + 2*d - 1. Let r(a) = -2*a**2 - 2*a. Let p = 56 - 61. Let s(n) = p*r(n) - 4*b(n). Find l, given that s(l) = 0.
-1, 2
Let p(t) = 10*t**3 + 10*t**2 - 47*t - 47. Let f(o) = 5*o**3 + 5*o**2 - 24*o - 24. Let h(a) = 7*f(a) - 4*p(a). Let h(x) = 0. What is x?
-2, -1, 2
Let i(p) be the third derivative of -p**6/12 + 19*p**5/10 + 9*p**4 - 52*p**3/3 + 25*p**2 - 2*p. Suppose i(m) = 0. Calculate m.
-2, 2/5, 13
Let a be (-2)/((-4)/(-6)) + -73 + 79. Let l(q) be the first derivative of -8 - 1/3*q**a + 1/2*q**2 + 0*q. Suppose l(f) = 0. Calculate f.
0, 1
Let m(b) be the third derivative of -b**7/560 + b**6/64 - 3*b**5/80 + 9*b**2 + 9*b. Suppose m(q) = 0. What is q?
0, 2, 3
Suppose 160*c = 141*c. Factor 0 + 2/5*x**2 + c*x.
2*x**2/5
Let w(v) be the third derivative of v**5/180 + 11*v**4/72 + 5*v**3/9 + 4*v**2 + 8*v. Factor w(j).
(j + 1)*(j + 10)/3
Let s(k) be the second derivative of k**7/3780 + k**6/540 - k**4/27 + 5*k**3/6 - 35*k. Let o(f) be the second derivative of s(f). Solve o(d) = 0.
-2, 1
Let d be (-10)/32 - (21/(-56) - 0). Let i(w) be the first derivative of 0*w + d*w**2 - 1/32*w**4 - 1/24*w**3 + 1/40*w**5 + 2. What is r in i(r) = 0?
-1, 0, 1
Let s(d) be the first derivative of -4/5*d - 2 - 2/15*d**3 - 3/5*d**2. Suppose s(w) = 0. What is w?
-2, -1
Suppose -9*q = -20*q - 682. Let v = q - -64. Factor -1/5*m**3 + 0 + 0*m**v + 1/5*m**4 + 0*m.
m**3*(m - 1)/5
Let r(d) = -12*d**2 + 36*d + 38. Let m(w) = 19*w**2 - 54*w - 57. Let y(h) = 5*m(h) + 8*r(h). Determine t, given that y(t) = 0.
-1, 19
Suppose -9*d = -7*d - 1708. Factor -866*j + 5*j**2 + d*j - j**2.
4*j*(j - 3)
What is d in d**2 + 2*d + 4/3 + 1/6*d**3 = 0?
-2
Let f be (12*5)/3 - 5. Suppose -9*y = f*y - 72. Determine p so that -1/3*p**y - 2/3*p**2 + 0 - 1/3*p = 0.
-1, 0
Let o = 17285 + -17283. Suppose -12/7 - 8/7*k**o - 50/7*k = 0. Calculate k.
-6, -1/4
Let h(v) be the third derivative of v**8/224 + v**7/140 - 7*v**6/40 - 7*v**5/10 + v**4/2 + 8*v**3 - 162*v**2. What is l in h(l) = 0?
-2, 1, 4
Solve -15*i + 10*i**3 - 45 - 25*i**4 + 93*i**2 + 9*i**2 + 5*i**5 - 32*i**2 = 0.
-1, 1, 3
Let s(l) be the second derivative of -l**6/70 + 3*l**5/35 + 3*l**4/14 - 18*l**3/7 + 81*l**2/14 + l + 19. Suppose s(a) = 0. What is a?
-3, 1, 3
Determine y, given that 8/7*y**3 + 2/7*y**2 + 0 - 8/7*y - 2/7*y**4 = 0.
-1, 0, 1, 4
Suppose -2*n + 25 = 47*b - 50*b, 4*n + 13 = -3*b. Suppose 2*v - 3/7*v**n + 5/7 = 0. Calculate v.
-1/3, 5
Suppose 0 = 2*l - 8, -2*g = 4*l - 32 - 4. Suppose -10*q - g = -15*q. Solve 1/2*v - 1/4*v**q - 1/4 = 0 for v.
1
Let d(g) be the first derivative of -14*g**5/5 + 9*g**4/2 + 10*g**3/3 - 9*g**2 + 4*g + 86. Find i, given that d(i) = 0.
-1, 2/7, 1
Let j = -38 - -40. What is a in 12*a**3 + 30*a**j - 24*a**4 + 3*a**5 + a - 6 - 18*a**5 + 2*a = 0?
-1, 2/5, 1
Find r, given that -10*r**3 - 14*r + 0 - 4 + 50*r**2 - 2*r**4 - 68*r**2 = 0.
-2, -1
Let f(l) be the first derivative of 0*l**3 + 0*l**2 - 8 + 7*l - 1/6*l**4. Let j(b) be the first derivative of f(b). Find a such that j(a) = 0.
0
Let u = 531 - 1585/3. Let b(l) = -l**2 + 5*l - 4. Let m be b(3). Let 0 + u*n**m + 0*n + 4/3*n**3 = 0. What is n?
-2, 0
Let a = 172 + -180. Let l be a/(-10) - (-7)/(-35). Determine k so that l*k + 1/5*k**3 - k**2 + 1/5*k**4 + 0 = 0.
-3, 0, 1
Factor 48 - 13 + 0*f**2 + 4*f**2 + f**2 - 15 + 20*f.
5*(f + 2)**2
Let c = 7699/11544 + -1/3848. Suppose -c*m**3 + 1/3*m**4 + 0 + 0*m + 1/3*m**2 = 0. What is m?
0, 1
Let m be (-4)/(-54) - (-5 + 6347/1485 + -2). Factor 8/5*u**3 - m*u**2 + 2/5 + 4/5*u.
2*(u - 1)**2*(4*u + 1)/5
Suppose 2/9*i - 2/9*i**3 + 0*i**2 + 0 = 0. Calculate i.
-1, 0, 1
Let z(l) be the second derivative of 11*l**4/54 - 97*l**3/27 - 2*l**2 + 699*l. Factor z(u).
2*(u - 9)*(11*u + 2)/9
Suppose -3*f + 5*h - 10 = 0, -2*h = -4*f + 2 - 6. Let y(q) be the second derivative of 7/12*q**3 - 4*q + f + 5/24*q**4 + 1/2*q**2. Find c, given that y(c) = 0.
-1, -2/5
Let o = -2 - -12. Let b = o + -8. What is p in 2*p**4 - 21*p**3 + 23*p**3 - 4 - 10*p - b*p**2 - 4*p**2 = 0?
-1, 2
Let t = -2610 + 7838/3. Determine f so that 8/3*f - 2/3*f**3 - 2/3*f**2 + t = 0.
-2, -1, 2
Let d be (-2 + 71/30 + 13/(-65))*4. Factor 2/3*k**3 - 2/3*k - d + 2/3*k**2.
2*(k - 1)*(k + 1)**2/3
Let c(m) be the second derivative of m**7/72 - m**6/40 - m**5/20 + m**4/36 - 2*m + 107. Determine d, given that c(d) = 0.
-1, 0, 2/7, 2
Let b(t) be the second derivative of 9/4*t**2 + 13/4*t**3 + 17/12*t**4 - 6*t + 1/28*t**7 + 0 - 1/4*t**5 - 11/60*t**6. Determine v, given that b(v) = 0.
-1, -1/3, 3
Let q be 2*1/80*2. Let o(r) be the second derivative of 0*r**3 - 1/6*r**4 + 1/30*r**6 - 3*r + q*r**5 + 0*r**2 + 0. Factor o(y).
y**2*(y - 1)*(y + 2)
Let a(w) = -w**2 + 24*w - 65. Let i be a(20). Let y be 1*(i/5 - 33/12). Suppose n + 1 + y*n**2 = 0. What is n?
-2
Let n be (-48)/(-36) + (4 - (-154)/21). Let n*b**2 - 28/3*b - 1/3*b**5 - 25/3*b**3 + 8/3 + 8/3*b**4 = 0. What is b?
1, 2
Let b(s) = s**3 + 8*s**2 - 8*s + 11. Let l = 7 - 16. Let w be b(l). Factor -f - f + f + f**w.
f*(f - 1)
Let v(j) be the first derivative of -10 + 1/12*j**3 + 1/2*j - 3/8*j**2. Find x such that v(x) = 0.
1, 2
Let j = -2357/145 + -10/29. Let l = 17 + j. Factor -l + 3/5*r - 1/5*r**2.
-(r - 2)*(r - 1)/5
Find c such that -4/3 - 13/2*c**3 + 3/2*c**5 + 37/6*c**2 + 5*c - 29/6*c**4 = 0.
-1, 2/9, 1, 4
Suppose 3*s - 10 + 17 + 11 + 0 - 3*s**2 = 0. Calculate s.
-2, 3
Let s = 1 + 3. Let l(o) be the first derivative of -2 + 0*o**3 - 1/2*o**2 + 1/12*o**s - 2/3*o. Factor l(h).
(h - 2)*(h + 1)**2/3
Let t = -1324 + 1326. Solve -f**t + 2/3 - 5/3*f = 0 for f.
-2, 1/3
Let u(b) be the second derivative of 0 - 1/2*b**2 - 1/2*b**4 - 7/6*b**3 + 9*b. Determine o, given that u(o) = 0.
-1, -1/6
Factor 98*g**2 - 36*g**3 + 40*g**3 + 66*g**2.
4*g**2*(g + 41)
Suppose 31*s - 10 = 26*s. Let o be s + 0 + 90/(-50). Factor 0 + o*i + 1/5*i**2.
i*(i + 1)/5
Let y(g) be the second derivative of g**4/6 + 7*g**3/3 + 6*g**2 - 11*g. Factor y(r).
2*(r + 1)*(r + 6)
Let w(o) = -2*o**2 - 19*o + 129. Let n be w(-14). What is u in 8/11 + 490/11*u**2 + 112/11*u + 686/11*u**n = 0?
-2/7, -1/7
Let -27/5*k**4 + 2/5*k**5 + 11/5*k**3 + 0 + 27/5*k**2 - 13/5*k = 0. Calculate k.
-1, 0, 1/2, 1, 13
Let s(t) be the first derivative of -5*t**4/12 - 5*t**3/2 - 5*t**2 - 15*t + 10. Let i(p) be the first derivative of s(p). Determine z so that i(z) = 0.
-2, -1
Let b = -2755546/12595 + -48/2519. Let q = b + 222. Factor -32/5*h**2 + q*h - 2/5.
-2*(4*h - 1)**2/5
Let q(y) = -7*y**2 + 9*y - 25. Let l(n) = -4*n**2 + 4*n - 13. Let s(u) = -10*l(u) + 6*q(u). Factor s(j).
-2*(j - 5)*(j - 2)
Let o be (-2)/13 - 1488/(-208). Factor -16*n - o*n**2 - 99 + 83 + 3*n**2.
-4*(n + 2)**2
Let w(a) be the first derivative of 1/54*a**4 + 7*a + 2/45*a**5 - 4/27*a**3 - 2 - 1/9*a**2. Let r(m) be the first derivative of w(m). Factor r(f).
2*(f - 1)*(f + 1)*(4*f + 1)/9
Let d(a) = a**3 + 1. Let r(z) = 6*z**3 - 14*z**2 + 30*z - 14. Let g = -7 + 11. Let p(n) = g*d(n) - r(n). Factor p(u).
-2*(u - 3)**2*(u - 1)
Let w be (-55)/22*8/(-10). Let d(k) be the third derivative of 1/8*k**4 - 1/20*k**5 + 0 - 1/40*k**6 + 0*k + 1/2*k**3 - 11*k**w. Determine a so that d(a) = 0.
-1, 