 3))/(-1). Let b = 70608/5 - 70607/5. What is x in j + b*x**2 + x = 0?
-5, 0
Let a(m) = -15*m - 381. Let d be a(-26). Let f(t) be the third derivative of d*t**2 + 0 - 1/390*t**5 - 1/39*t**3 + 0*t - 1/78*t**4. Find s such that f(s) = 0.
-1
Suppose -2/5*d - 8/5*d**2 + 6/5 = 0. What is d?
-1, 3/4
Suppose 179*d - 93 = 444. Let t(c) be the second derivative of 0 + 2*c**d - 14*c + 0*c**2 + 1/3*c**4. Solve t(l) = 0 for l.
-3, 0
Let f(i) be the second derivative of 1/2*i**3 - 3/20*i**5 - 3*i - 4 - i**4 + 6*i**2. What is c in f(c) = 0?
-4, -1, 1
Let m = -216378 - -216380. Find b such that 20/7 - m*b + 2/7*b**2 = 0.
2, 5
Let m = -738 - -909. Factor -84*b - 15*b**3 + 10*b**2 - 82*b + m*b.
-5*b*(b - 1)*(3*b + 1)
Let h(o) = -o**4 + o. Let j(v) = 210*v**4 - 240*v**3 + 9*v**2 + 21*v. Let y(s) = 15*h(s) - j(s). Determine i so that y(i) = 0.
-2/15, 0, 1/5, 1
Let k be (-2)/3*-6 - (-1)/(-1). Let 2*b**4 + 2*b**2 - 3*b**3 - 2*b**5 + b**3 + 4*b**k - 4*b**4 = 0. What is b?
-1, 0, 1
Let m(i) be the third derivative of -i**7/420 + 103*i**6/240 + 21*i**5/8 + 317*i**4/48 + 53*i**3/6 - 273*i**2 + 9*i. Factor m(k).
-(k - 106)*(k + 1)**3/2
Suppose -3*o - 6 = -4*w, -w = -3*w + 2*o + 4. Let r(f) = -f**3 + 56*f**2 + 4*f - 222. Let x be r(56). Solve 0 + 4/3*d**x + w*d + 4/3*d**3 = 0.
-1, 0
Factor -210 - 3/5*n**2 + 171/5*n.
-3*(n - 50)*(n - 7)/5
Suppose 78 + 12362*q - 194 + 2*q**2 - 12300*q - 88 = 0. Calculate q.
-34, 3
Let f = -2526 - -2528. Let b(c) be the first derivative of -25/6*c + 13 - 5/6*c**f - 1/18*c**3. Solve b(v) = 0 for v.
-5
Let b(j) = 24*j - 166. Let d be b(7). What is n in 51 + 55 + 108*n + 829*n**d + 1350*n**3 + 625*n**4 - 102 = 0?
-1, -2/25
Factor -172/3*q**2 - 9408 + 2576*q + 1/3*q**3.
(q - 84)**2*(q - 4)/3
Suppose 5*b + 43 = 23. Let a = b - -9. What is d in -27*d**3 + 4*d**2 - 2*d**5 - 4*d**4 + 23*d**3 + 6*d**a = 0?
-1, 0, 1
Let i(z) be the first derivative of -z**6/24 - z**5/3 + 145*z**4/24 - 20*z**3 - 14*z**2 - 3*z - 169. Let j(v) be the second derivative of i(v). Factor j(o).
-5*(o - 3)*(o - 1)*(o + 8)
Let l be ((36/(-70))/((-45)/210))/((-4)/(-5)). Let x(a) be the second derivative of 0*a**2 - 1/3*a**4 - 1/3*a**l - 1/10*a**5 + 0 - 3*a. Factor x(h).
-2*h*(h + 1)**2
Let w(r) be the first derivative of r**6/40 + 11*r**5/30 + 7*r**4/24 + 3*r**2 - r - 204. Let v(u) be the second derivative of w(u). Factor v(k).
k*(k + 7)*(3*k + 1)
Let i(s) = -2*s**4 - 7*s**3 + 4*s - 1. Let v(h) = h**3 - 23*h**4 + 24*h**4 - 14 + h**2 + 13. Let b(d) = -i(d) - 3*v(d). What is c in b(c) = 0?
-1, 1, 2
Suppose 3*b = 121 - 100. Solve -16 + 6*d**3 + b*d**2 + 9*d**4 + 36*d + 17*d**3 - 60*d + d**5 = 0.
-4, -1, 1
Let y(m) = 20412*m - 1694194. Let a be y(83). Let b = -1/3 + 1. Determine k so that -b*k**2 + a*k - 4/3 = 0.
1, 2
Let g be -2 + (7 - 2 - 1). Let y be (g + (-5)/2)*(-11 - -11). Factor y - 1/2*v**2 + 0*v**3 + 0*v + 1/2*v**4.
v**2*(v - 1)*(v + 1)/2
Determine i so that 217/4*i**2 + 1485*i + 729 + 1/2*i**3 = 0.
-54, -1/2
Determine g so that -2/3*g**3 - 46*g - 15*g**2 - 95/3 = 0.
-19, -5/2, -1
Suppose 177*z + 516*z**2 + 3/2*z**4 - 177*z**3 - 1035/2 = 0. What is z?
-1, 1, 3, 115
Suppose -13 = -5*w - 4*h + 1, 0 = -4*w - 4*h + 12. Let l(s) be the first derivative of 2/45*s**3 + 8/15*s - 4/15*s**w - 4. Find u such that l(u) = 0.
2
Let k(i) = -6*i**2 + 21058*i - 27751816. Let l(s) = -31*s**2 + 105283*s - 138759076. Let y(b) = 11*k(b) - 2*l(b). Factor y(p).
-4*(p - 2634)**2
Let q = 3 - 0. Suppose 3*n = 2*p - 11, 4*p - 2*n + 3 = 29. What is h in 234*h + 30*h**2 - 189*h + p*h**3 - 2*h**q = 0?
-3, 0
Let a(c) be the first derivative of 0*c**2 + 0*c**3 - 2/35*c**5 + 0*c + 74 - 3/14*c**4. Factor a(x).
-2*x**3*(x + 3)/7
Let h(q) be the second derivative of -q**2 + 8/9*q**3 + 8*q - 1/24*q**5 - 5 - 1/24*q**4. Solve h(d) = 0.
-3, 2/5, 2
Let t = -325741 - -325744. Factor -7/4*n + 3/4 - 1/4*n**t + 5/4*n**2.
-(n - 3)*(n - 1)**2/4
Find g such that -2/7*g**4 - 48/7*g - 32/7 - 2/7*g**2 + 12/7*g**3 = 0.
-1, 4
Let t(u) be the third derivative of u**6/200 - 17*u**5/100 - 29*u**4/8 + 161*u**3/10 + 65*u**2 + 2*u - 3. Factor t(o).
3*(o - 23)*(o - 1)*(o + 7)/5
Factor -97 - 1323*w**4 + 3411*w**3 - 25587*w**3 + 97 - 92928*w**2.
-3*w**2*(21*w + 176)**2
Solve 1060/7*o**3 - 71796/7*o**2 - 137288/7 + 208028/7*o - 4/7*o**4 = 0 for o.
1, 2, 131
Let m(w) be the second derivative of 2*w**6 + 35*w**5/4 - 5*w**4/4 + 2*w + 118. Factor m(b).
5*b**2*(b + 3)*(12*b - 1)
Suppose -19/3*l**3 + 88 + 2506/3*l - 7*l**2 = 0. Calculate l.
-12, -2/19, 11
Let g be 2*(0 + 2)*(-3 + -7 + 11). Let d(f) be the second derivative of 10*f + 1/4*f**3 + 0*f**2 - 1/16*f**g + 0. Factor d(x).
-3*x*(x - 2)/4
Let g = -417 + 417. Suppose g = 75*x + 12 - 312. Find t, given that 113/2*t**x + 14*t**5 - 2 + 53/2*t**2 - 4*t + 71*t**3 = 0.
-2, -1, -2/7, 1/4
Let b(j) be the first derivative of 10/3*j**2 - 97 + 8*j - 1/3*j**4 - 8/9*j**3. Solve b(a) = 0.
-3, -1, 2
Let u be (-4480)/(-24) - 4/6. Determine l, given that u*l**2 - 38*l + 8 - 6*l - 24*l + 49*l**4 - 175*l**3 = 0.
2/7, 1, 2
Let k be ((-1742)/(-402))/((182/18)/7). Factor -1/5*i**k + 0*i + 0 + 0*i**2.
-i**3/5
Factor 26/5*a**4 + 0*a**2 + 0 + 0*a - 1/5*a**5 + 56/5*a**3.
-a**3*(a - 28)*(a + 2)/5
Let v(w) be the third derivative of -8*w**7/45 - 11*w**6/18 - 49*w**5/90 + 2*w**4/9 + w**3/3 - 2*w**2 + 419. Find d such that v(d) = 0.
-1, -3/14, 1/4
Let u(a) be the second derivative of a**4/16 + 2449*a**3/4 + 17992803*a**2/8 + 9260*a. Determine i so that u(i) = 0.
-2449
Factor -2365*h**3 + 4727*h**3 - 540 + 560*h - 2357*h**3 - 155*h**2.
5*(h - 27)*(h - 2)**2
Factor 0 - 4/5*o**3 + 792/5*o + 28/5*o**2.
-4*o*(o - 18)*(o + 11)/5
Suppose -14*k + 10*k = f - 170, -196 = -5*k - 4*f. Let l(i) be the first derivative of 0*i - 2/21*i**3 + 2/7*i**2 + k. What is x in l(x) = 0?
0, 2
Let f = 12462/37 - 111640/333. Factor -f + 2/9*z**2 - 4/3*z.
2*(z - 7)*(z + 1)/9
Suppose -1674*x = -1664*x - 30. Suppose 5*d = -2*n + 17, -x*d + 6*d - 12 = -3*n. Suppose -7/3*j**2 + 17/3*j - 3 - 1/3*j**d = 0. Calculate j.
-9, 1
Let z(l) = -18*l**3 + l**2 - l. Let g be z(-1). Suppose -x = -5*x + g. Suppose -287*d**5 - 3 - 10*d - x*d**4 + 282*d**5 + 3 + 15*d**3 + 5*d**2 = 0. What is d?
-2, -1, 0, 1
Let t(a) be the first derivative of 5*a**4/4 - 20*a**3 - 2655*a**2/2 + 5510*a - 11980. Find c, given that t(c) = 0.
-19, 2, 29
Let u(r) be the second derivative of 51*r - 3/20*r**5 + 1/10*r**6 + 0*r**2 - 1/4*r**4 + 0*r**3 + 0 + 1/14*r**7. Solve u(x) = 0.
-1, 0, 1
Let m(a) be the second derivative of a**4/36 - 149*a**3 + 599427*a**2/2 - 11*a - 3. Let m(q) = 0. What is q?
1341
Let i = 1392/833 + 100738/12495. Solve 2/15*z**5 + i*z**2 + 86/15*z**3 + 22/15*z**4 + 112/15*z + 32/15 = 0.
-4, -1
Solve 166766116074 - 33883944149 + 48240*t**2 - 5*t**3 + 155139840*t + 33427736555 + 10*t**3 = 0 for t.
-3216
Let y(t) be the first derivative of -17/3*t**3 - 3/40*t**5 + 1/720*t**6 + 27/16*t**4 + 0*t**2 - 9 + 0*t. Let l(q) be the third derivative of y(q). Factor l(m).
(m - 9)**2/2
Suppose -3*w + 1708 = 5*u, -2*w - 201 = -2*u - 1361. Let d = -574 + w. What is i in 0 + 3/4*i**4 + 1/8*i**5 + 13/8*i**3 + 3/2*i**d + 1/2*i = 0?
-2, -1, 0
Let j(x) = -x + 50. Let t(h) = -3*h + 140. Let o(f) = 11*j(f) - 4*t(f). Let a be o(28). Solve -54 - 3/2*q**2 - a*q = 0 for q.
-6
Determine b so that 29*b**4 + 48*b**4 - 2872*b**2 - b**5 - 1148*b**3 + 10368 - 3*b**4 + 3483*b + 1125*b - 4*b**4 = 0.
-2, 2, 36
Determine t, given that -3/4*t**2 + 27/4 + 6*t = 0.
-1, 9
Let y(j) be the third derivative of 0*j**3 - 25/21*j**4 - 57*j**2 + 1/735*j**7 + 0*j + 8/21*j**5 + 0 + 19/420*j**6. Factor y(v).
2*v*(v - 1)*(v + 10)**2/7
Let n be 40 + -36 + -1*(-2 - -3). Let s(k) be the first derivative of 0*k**2 + 0*k - 4/25*k**5 + 0*k**4 + 4/15*k**n + 7. Factor s(h).
-4*h**2*(h - 1)*(h + 1)/5
Let k = 15758/9557 + -194/503. Find v, given that -6/19*v**3 - 4/19*v**2 - 16/19 + 2/19*v**4 + k*v = 0.
-2, 1, 2
Let r(m) be the third derivative of m**8/120 - m**7/7 + 209*m**6/300 - 193*m**5/150 + 2*m**4/5 + 28*m**3/15 + 2*m**2 + 4860. What is p in r(p) = 0?
-2/7, 1, 2, 7
Let b = 17606 + -123238/7. Let w be (0 - 1)/(-1) + 6/(-7). Factor -w*v**2 - 4/7 - b*v.
-(v + 2)**2/7
Factor 95/3*r**2 - 10*r**3 - 105/2 + 5/6*r**4 - 10*r.
5*(r - 7)*(r - 3)**2*(r + 1)/6
Let y(k) = 4*k**2 + 2*k - 4. Let z = -64 + 62. Let v(x) = -5*x**2 - 3