(o) = 0. What is o?
-1, 0, 2
Let a be (-1)/(-7) + 1755/455. Factor 80*g + 235*g**3 + 294*g**4 + 350*g**2 - 154*g**a - 175*g**4.
-5*g*(g - 8)*(g + 1)*(7*g + 2)
Let f(c) = 5*c**4 - 175*c**3 + 760*c**2 - 850*c. Let j(a) = -3*a**4 + 116*a**3 - 507*a**2 + 567*a. Let t(y) = -7*f(y) - 10*j(y). Factor t(h).
-5*h*(h - 7)*(h - 4)*(h - 2)
Let i be (-1 - -16) + 43*(-54)/162. Let -2/3*s + 4/3*s**2 - i*s**3 + 0 = 0. What is s?
0, 1
Let q(u) = -2*u + 15. Let x be q(7). Factor 5*m**2 - x + 4*m**3 + 1 + m**4 - 2*m + 2*m + 2*m.
m*(m + 1)**2*(m + 2)
Let c(i) be the first derivative of 1/15*i**3 + 8 + 2*i + 0*i**2 + 1/30*i**4. Let s(d) be the first derivative of c(d). Find y, given that s(y) = 0.
-1, 0
Suppose -2*j = -5*d + 18, 8*j - 3*j + 11 = 4*d. Suppose 3*l + d*h = 2*h + 12, 6 = -3*l + 4*h. Factor 3/2*n**l + 3/4*n + 3/4*n**3 + 0.
3*n*(n + 1)**2/4
Let y be 7 - 2/(-4)*-10. Let j = y - -54. Let j*w + 36*w**2 - 36 + 4*w**3 - 64 + 4*w = 0. Calculate w.
-5, 1
Let r be (-30)/(-18)*((-1449)/(-30))/(-23)*(-15)/42. Let -r*h + 7/2 - 1/4*h**2 = 0. What is h?
-7, 2
Solve 16*g**3 + 76 + 2968/3*g + 2788/3*g**2 = 0 for g.
-57, -1, -1/12
Let w(g) be the third derivative of 0*g + 1/60*g**5 + g**4 + 0 + 0*g**3 + 218*g**2. Factor w(u).
u*(u + 24)
Let j(i) be the first derivative of i**5/5 + 91*i**4/2 + 179*i**3 - 5899. Suppose j(t) = 0. What is t?
-179, -3, 0
Let r(s) be the third derivative of s**8/336 - 17*s**7/210 + 19*s**6/30 + s**5/15 - 40*s**4/3 + 128*s**3/3 - 1382*s**2. What is a in r(a) = 0?
-2, 1, 2, 8
Let f = -9722 - -7592881/781. Let j = 4691/3905 + f. What is z in 9/5*z - 33/5*z**2 - 18/5*z**3 + j = 0?
-2, -1/3, 1/2
Determine o, given that 0 + 1/6*o**4 + 121/6*o**2 + 61/3*o**3 + 0*o = 0.
-121, -1, 0
Suppose 1/4*z**2 - 32 + 127/4*z = 0. Calculate z.
-128, 1
Let x(l) = 53*l**2 - 81*l + 382. Let p(c) = 705*c**2 - 1050*c + 4965. Let w(q) = 3*p(q) - 40*x(q). Determine z, given that w(z) = 0.
7, 11
Let z(n) be the second derivative of n**3 + 1/3*n**4 + 0*n**2 - 2 + 21*n. What is l in z(l) = 0?
-3/2, 0
Suppose 4*o - 737 = -661. Let y be o/((-95)/(-30)) + -4. Factor -2/3 + 4/3*i**3 + 0*i**y + 2/3*i**4 - 4/3*i.
2*(i - 1)*(i + 1)**3/3
Let k(d) be the first derivative of 5*d**4/4 - 175*d**3/3 + 230*d**2 + 640*d + 270. Determine r, given that k(r) = 0.
-1, 4, 32
Factor 360/7*l**2 + 0 - 24/7*l**4 - 6/7*l**5 - 1350/7*l + 156/7*l**3.
-6*l*(l - 3)**2*(l + 5)**2/7
Suppose q = -0*q. Suppose 334 + 1238 = 363*c + 30*c. Factor -2/11*r**2 + 2/11*r**3 + q + 2/11*r**c + 0*r - 2/11*r**5.
-2*r**2*(r - 1)**2*(r + 1)/11
Let y(q) be the third derivative of -3*q**5/10 - 43*q**4/8 - 7*q**3/2 + 689*q**2. Factor y(a).
-3*(a + 7)*(6*a + 1)
Let h(q) be the first derivative of 88 + 0*q - 5/4*q**4 + 5*q**2 - 5/3*q**3. Factor h(l).
-5*l*(l - 1)*(l + 2)
Let i(t) = -5*t**2 + 2. Let l be i(2). Let k be 0 - l/2*(14 + -13). Factor -13 + 6*o - 8*o - k*o - 14*o**2 + o**5 - 6*o**3 + o**4 + 10.
(o - 3)*(o + 1)**4
Let y(f) be the second derivative of 7 + f + 1/5*f**5 + 5/9*f**4 - 32/9*f**3 - 8*f**2. Let y(m) = 0. Calculate m.
-3, -2/3, 2
Factor -126*h + 0 + 3/2*h**4 + 45/2*h**3 + 12*h**2.
3*h*(h - 2)*(h + 3)*(h + 14)/2
Suppose -o = -3*l, 16*o - 21*o + 34 = 2*l. Let t(u) be the first derivative of -5*u**3 - 25/4*u**l + 0*u + 18 - 5/8*u**4. Factor t(v).
-5*v*(v + 1)*(v + 5)/2
Suppose 0 = -o + 6*z + 54, 4*o + 60 = -10*z - 30. Find v such that 6/5*v**2 + o - 4/3*v**3 + 2/15*v = 0.
-1/10, 0, 1
Determine s, given that 8/9*s - 2/9*s**3 + 10/9*s**2 - 40/9 = 0.
-2, 2, 5
Let h be 935/(-68) + 20 + (-10)/8. Let u(v) be the first derivative of -v - v**2 + 1/8*v**4 - 1/4*v**3 + 1/20*v**h + 15. Solve u(w) = 0.
-2, -1, 2
Let j be 5 + 0 - (-306 - 0). Factor -311 + 3*g**2 + 4*g**4 + j - 3*g**4 + 3*g**3 + g.
g*(g + 1)**3
Let j = -68/123 - -422/615. Let h(o) be the second derivative of j*o**6 - 2/5*o**5 + 0 + 4/3*o**3 - 1/3*o**4 + 28*o + 0*o**2. Factor h(d).
4*d*(d - 2)*(d - 1)*(d + 1)
Let v(w) = -10*w**2 + 4*w - 1. Let z be v(2). Let i = z + 38. Let -31*l**2 - l**5 - 8*l + 4*l**4 - 12*l**3 + 2*l**i + 3*l**5 + 11*l**2 = 0. What is l?
-1, 0, 2
Factor -2*v**3 + 0 + 1/2*v**5 + 4*v**2 - v**4 + 0*v.
v**2*(v - 2)**2*(v + 2)/2
Let l(r) be the third derivative of r**7/105 - r**6/4 + 13*r**5/10 + 55*r**4/12 - 2*r**2 - 89. Let l(k) = 0. What is k?
-1, 0, 5, 11
Let l(v) = -2*v**3 + 10*v**2 + 13*v - 4. Let s be l(6). Factor 32*h**4 - 2992*h**5 + 118*h**2 + 2996*h**5 - 46*h**s + 84*h**3.
4*h**2*(h + 2)*(h + 3)**2
Let b(l) = 36*l**2 - 3*l - 60. Let m(w) = -17*w**2 + w + 30. Let v(s) = -6*b(s) - 13*m(s). Factor v(c).
5*(c - 2)*(c + 3)
Let l = 2121 + -2119. Let z be 8/(-10) - (-253)/10. Factor 44*c + z*c**3 - 175/2*c**l - 6.
(c - 3)*(7*c - 2)**2/2
Let l = -200 + 208. Let i be -10*(-2)/12 + l/24. Find f such that 3/2*f + 9/4 - 2*f**i - 1/4*f**4 - 3/2*f**3 = 0.
-3, -1, 1
Suppose 4*k = -3*x - 1997, 116*x = 118*x + 4*k + 1334. Let s = x - -666. Factor 14/17*j + 12/17*j**2 + 0 - 2/17*j**s.
-2*j*(j - 7)*(j + 1)/17
Let s(b) be the second derivative of -b**2 - 1/12*b**4 - 1/2*b**3 + 102*b + 0. Factor s(a).
-(a + 1)*(a + 2)
Suppose -7*p + 193 = 53. Factor 4*a**4 - 4*a**3 + 5*a**3 + 3*a**3 - 10*a**2 - 8 - 2*a**2 - p*a.
4*(a - 2)*(a + 1)**3
Let k(f) = 16*f + 208. Let c be k(-13). Suppose 0 = -4*z - 2*y + 8, 2*y - 8 = 5*z - c. Solve -2/3*l**2 + z*l + 2/3 = 0 for l.
-1, 1
Let p be (-5)/(-15)*-7 - 38/(-6). Factor -21/5*t**p + 0 - 3/5*t**2 - 9/5*t**5 + 0*t - 3*t**3.
-3*t**2*(t + 1)**2*(3*t + 1)/5
Let g(r) be the second derivative of -4*r**7/7 - 239*r**6/15 - 83*r**5/4 + 29*r**4/6 + 19*r**3/6 - 3133*r - 1. Suppose g(q) = 0. What is q?
-19, -1, -1/6, 0, 1/4
Let r = 52526/73507 - 3/10501. Let k(p) be the second derivative of 11 + 9/14*p**2 + 9/28*p**4 + 3*p + r*p**3 + 3/70*p**5. Factor k(x).
3*(x + 1)*(x + 3)*(2*x + 1)/7
Let c(r) be the second derivative of -2/189*r**7 + 2*r + 13/27*r**4 + 7/45*r**5 - 2/135*r**6 + 20 + 4/9*r**3 + 0*r**2. Determine t so that c(t) = 0.
-2, -1, 0, 3
Suppose 0 = -4*z + b + 2*b - 230, -278 = 5*z + b. Let i = z - -59. Let 18*d**3 + d**4 - 5*d**4 - 30*d**i + 0*d**4 = 0. What is d?
-3, 0
Let w be (4 + 3)/(-14) - 5/(-2). Let l be -2*(w/(-1) - 0). What is k in 4*k**2 + 10 + 5*k**5 - 35*k + 0*k**5 - 19*k**l + 36*k**2 - 10*k**3 + 9*k**4 = 0?
-2, 1
Let x(s) be the third derivative of -s**7/1470 - 31*s**6/168 - 38*s**5/105 + 11*s**4/6 - 92*s**2 - 3*s. Suppose x(p) = 0. What is p?
-154, -2, 0, 1
Suppose 1838*r - 1868*r = -210. Let s(a) be the second derivative of 0*a**3 + 0*a**4 + 0 + 1/6*a**6 + 0*a**5 + 0*a**2 - r*a. Solve s(x) = 0.
0
Let f(a) = -a**5 - a**4 + a**3 + 3*a**2 + a. Let s(g) = 9*g**5 + 12*g**4 - 5*g**3 - 28*g**2 - 12*g. Let d(v) = 40*f(v) + 5*s(v). Let d(u) = 0. Calculate u.
-2, -1, 0, 1
Suppose 0 - 5/3*i**2 - i**3 + 8/3*i**4 + 4/3*i**5 + 2/3*i = 0. Calculate i.
-2, -1, 0, 1/2
Suppose 21*c = 26*c - 4*a - 60, -3*a + 9 = 3*c. Suppose 2 = -3*f + c. Determine o so that 4/5*o + 2/5 + 2/5*o**f = 0.
-1
Let g be (4/1)/(-2 + 4). Suppose 0 = 2*n + g*n - 8. Factor -5*r - 2 + r**2 - 2*r**2 + n*r**2 + 6*r.
(r - 1)*(r + 2)
Let p = -635019 + 311159089/490. Let y = -5/98 - p. Factor y*t**3 + 2/5*t**2 - 4/5*t + 0.
2*t*(t - 1)*(t + 2)/5
Let n be (-1)/(-2 - 104/(-48)). Let c be -4*n/(-12) + 17/4. Determine l so that -7/4*l**3 + 4*l**5 + 6*l**4 - c*l - 23/4*l**2 - 1/4 = 0.
-1, -1/4, 1
Factor -3/2*a**2 - 69/2*a + 261.
-3*(a - 6)*(a + 29)/2
Let b(p) be the first derivative of -240*p**3 + 2940*p**2 - 12005*p + 5339. Suppose b(f) = 0. What is f?
49/12
Let d(k) be the first derivative of -k**5/30 + k**4/6 + k**3 - k**2/2 + 3*k + 104. Let g(t) be the second derivative of d(t). Factor g(i).
-2*(i - 3)*(i + 1)
Let b(u) be the second derivative of -u**6/105 + 187*u**5/70 + u**4/42 - 187*u**3/21 - 25*u - 26. What is i in b(i) = 0?
-1, 0, 1, 187
Let f be (1 - (-10)/(-20)) + 7/((-196)/(-238)). Factor 17/2 + 1/2*a**2 - f*a.
(a - 17)*(a - 1)/2
Suppose 11478 = 21*z + 11415. Factor 0 + 21/2*r**4 + 3*r**2 + 45/2*r**z + 0*r.
3*r**2*(r + 2)*(7*r + 1)/2
Suppose 0 = 4*p - 8, w - 5*p - 6 = -3 - 9. What is u in 0*u + 24/5*u**2 + 2/5*u**w + 0 + 16/5*u**3 = 0?
-6, -2, 0
Let r = 306 - 242. Factor 119*c**2 - 4*c - 53*c**2 - r*c**2 - 16.
2*(c - 4)*(c + 2)
Let f(n) = -n**2 + 7*n - 4. Let s be f(6). Let r be 4/22 - 5542/(-374). Factor 4*u**s + r + 16 - 31.
4*u**2
Suppose 20*j + 