152/17*o**5 + 0 - 114/17*o**3 + 26/17*o**2 + p*o + 16/17*o**4 = 0?
-1, -2/19, 0, 1/2
Let o = 192 - 433. Let a = o - -244. Find h such that 3/2*h + 1/2*h**a - 3/2*h**2 - 1/2 = 0.
1
Let z(m) be the third derivative of m**8/3024 + m**7/1890 - 17*m**6/540 - m**5/135 + 5*m**4/9 - 6*m**2 + 106. Find u such that z(u) = 0.
-6, -2, 0, 2, 5
Suppose 88*f - 15 = 83*f, 3 = 3*x - 2*f. Suppose -3*r - 4*z + 42 + 51 = 0, -5*r - 5*z + 155 = 0. Determine c so that r - 9*c**x - 3*c**4 - 31 = 0.
-3, 0
Let z(f) = -5406*f - 10808. Let v be z(-2). Let -1/3*k**v + 0*k + 0*k**3 + 0 + 1/3*k**2 = 0. What is k?
-1, 0, 1
Factor -8*w**2 + 126*w + 5*w**2 - 48094 + 47539.
-3*(w - 37)*(w - 5)
Factor 49*s**2 + 44*s**2 - 141*s**2 - 192*s + 49*s**2 + 380.
(s - 190)*(s - 2)
Let s = 48 + -80. Let i be (-48)/s*(-2 + 4). Factor -2/9*j**i + 0*j**2 + 1/9 + 2/9*j - 1/9*j**4.
-(j - 1)*(j + 1)**3/9
Let r(n) be the first derivative of n**3/3 - 344*n**2 + 118336*n + 1003. Determine v so that r(v) = 0.
344
Suppose 0 = a - 3*n + 23 - 35, n + 3 = 0. Find s, given that -2840*s**3 + 1412*s**3 + 39*s**2 + 1416*s**a - 27*s = 0.
0, 1, 9/4
Suppose -4*c + 167 - 143 = 0. What is y in c*y**2 - 15*y**2 - 1 + 15 - 3*y - 2 = 0?
-4/3, 1
Suppose 12*l = 18 + 6. Suppose -u + 9*h - 11*h - l = 0, -3*h = 5*u + 3. Factor 0 + u*i - 5*i**2 - 1/2*i**3.
-i**2*(i + 10)/2
Determine c so that -29919346688/5 + 36427776/5*c - 14784/5*c**2 + 2/5*c**3 = 0.
2464
Let i = -586 - -42. Let w = 1634/3 + i. Factor -4/3*a - w*a**2 - 2/3.
-2*(a + 1)**2/3
Let g = -6959/3 + 6961/3. Factor -g*w**2 + 2/9*w + 4/9.
-2*(w - 1)*(3*w + 2)/9
Find a such that 1048*a - 688 - 540*a**2 - 1758*a**4 + 106*a**3 - 8*a**3 + 1756*a**4 = 0.
2, 43
Let h = -412 - -416. Let c(d) be the second derivative of 0 - 2/3*d**h + 9*d - 1/10*d**5 - 2*d**2 - 5/3*d**3. Let c(x) = 0. Calculate x.
-2, -1
Find v, given that -82/11*v + 6/11*v**2 + 52/11 = 0.
2/3, 13
Let q(k) be the second derivative of k**4/8 - 737*k**3/36 - 41*k**2/6 + 579*k. Factor q(u).
(u - 82)*(9*u + 1)/6
Let r(m) be the third derivative of 0*m**4 + 1/30*m**5 + 3*m**2 - 1/48*m**6 + 1/420*m**7 - 32 + 0*m**3 + 0*m. Suppose r(a) = 0. Calculate a.
0, 1, 4
Let y = 29041/6 + -4840. Let u(r) be the third derivative of 0*r - 1/60*r**5 - 11/30*r**4 + y*r**6 + 0 - 6*r**2 + 2/5*r**3. Factor u(w).
(4*w + 3)*(5*w - 2)**2/5
Let b be (-90)/60*20/(-6). Suppose -8*l**3 - 12*l**3 + 205*l**b - 200*l**5 = 0. Calculate l.
-2, 0, 2
Let f be 1*16 + 312/(-260) + 8/(-10). Let w(u) be the first derivative of 3*u**3 - 12*u - f + 0*u**2 - 3/4*u**4. Let w(j) = 0. Calculate j.
-1, 2
Let a(o) = -38*o**3 + 210*o**2 - 506*o + 390. Let m(r) = -r**4 - 153*r**3 + 836*r**2 - 2025*r + 1559. Let s(g) = 18*a(g) - 4*m(g). What is y in s(y) = 0?
2, 7
Let f be ((-110)/(-44))/(((-2)/(-4))/1). Let y = 3781/2 + -1889. Factor 3/4*c**f + 0 + 3/4*c**3 + 0*c**2 + y*c**4 + 0*c.
3*c**3*(c + 1)**2/4
Let p(s) = 2*s - 161. Let r be p(-24). Let u = 209 + r. What is o in 0 + u*o - 2/7*o**2 = 0?
0
Let o = 937 + -1475. Let m = 2692/5 + o. Let -1/5*p**4 + m*p**2 + 0*p - 1/5 + 0*p**3 = 0. What is p?
-1, 1
Let q(f) be the first derivative of f**5/5 + 9*f**4 + 23*f**3 + 17*f**2 + 1347. Let q(u) = 0. What is u?
-34, -1, 0
Let t(q) = -q**2 + 4*q + 2. Let y(s) = -12*s**3 + 215*s**2 + 68*s - 150. Let g(d) = 3*t(d) + y(d). Factor g(n).
-4*(n - 18)*(n + 1)*(3*n - 2)
Let h(j) be the third derivative of j**5/20 - 39*j**4/8 + 124*j**3 + 9*j**2 + j - 6. Factor h(c).
3*(c - 31)*(c - 8)
Let p(q) be the third derivative of 3*q**7/7 + 343*q**6/20 - 373*q**5/30 - 195*q**4/4 - 116*q**3/3 + 18*q**2 + 32. Suppose p(f) = 0. Calculate f.
-116/5, -1/3, 1
Let y be 27 + (-3159)/54 + 33. Find d, given that y*d**2 - 5/4 - 1/4*d = 0.
-5/6, 1
Let m be (-143587)/1668 + 87 - ((-5)/(-6))/5. What is j in 0 + m*j**4 + 9/4*j**2 + 0*j - 3*j**3 = 0?
0, 1, 3
Factor 24 - 40*j**2 - j**4 + 45*j**2 + 0*j**4 + 20*j - 7*j**2 - 5*j**3.
-(j - 2)*(j + 2)**2*(j + 3)
Let j(h) = -2*h**3 - 1606*h**2 - 22*h + 1638. Let p(x) = x**3 + 534*x**2 + 8*x - 546. Let n(y) = 3*j(y) + 8*p(y). Determine d so that n(d) = 0.
-1, 1, 273
Let h be 5/20*-10*2/(-5). Suppose h = -4*f + 21. Factor -6*g**2 - 8*g + f*g**3 + 7 + 2*g**4 + 3*g**2 - 3.
(g - 1)*(g + 2)**2*(2*g - 1)
Let q(h) be the third derivative of 1/35*h**7 - 14*h**2 - 1/10*h**5 - 1/3*h**4 + 1/12*h**6 - 1/168*h**8 + 0*h + 2 + 0*h**3. Suppose q(i) = 0. What is i?
-1, 0, 1, 4
Let f(g) be the third derivative of 7/12*g**5 - 1/24*g**6 + 0*g + g**2 + 34 - 55/24*g**4 + 25/6*g**3. Factor f(d).
-5*(d - 5)*(d - 1)**2
Let b(c) be the first derivative of -40*c**3 - 837*c**2/14 + 3*c/7 - 2370. Find r, given that b(r) = 0.
-1, 1/280
Let y be 9/9 - -2*9/(-2). Let b be -1 + y - (-147)/15. Find k such that -2/5*k**3 - 8/5*k**2 - b - 2*k = 0.
-2, -1
Solve -1/2*h**3 - 9/2*h**2 + 1/2*h**4 + 9/2*h + 0 = 0.
-3, 0, 1, 3
Suppose 3*m + 217*b - 216*b = 84, -m = 5*b - 14. Let r be (-82)/11 + -21 + m. Suppose 54/11*c**2 + 30/11*c**3 + r*c**4 + 12/11 + 42/11*c = 0. Calculate c.
-2, -1
Suppose 395*b + 73*b + 1137*b**3 - 548*b**3 + 176 - 547*b**3 + 334*b**2 = 0. What is b?
-44/7, -1, -2/3
Let w = 13/2 - 57/10. Suppose 5*r = -v + 18, -176 = 5*r + 2*v - 202. Find p such that -w*p**r + 6/5*p**3 + 0 + 0*p + 2*p**4 = 0.
-1, 0, 2/5
Let l(x) be the third derivative of -23*x**5/60 + 55*x**4/48 - 3*x**3/4 + 1807*x**2. Factor l(h).
-(h - 1)*(46*h - 9)/2
Let f(b) be the third derivative of 5*b**8/336 - b**7/42 - 17*b**6/2 - 145*b**5/3 + 10*b**4/3 + 640*b**3 - 267*b**2 + 1. Determine j, given that f(j) = 0.
-12, -2, 1, 16
Let q be -1 + 8*(-2)/(-10). Let m be (3 - 1*58/10)/(72 + (-5134)/68). Solve q - m*d + 1/5*d**2 = 0 for d.
1, 3
Let q(x) be the third derivative of 0 - 40*x**2 - 11/600*x**6 - 1/30*x**5 + 1/105*x**7 + 1/15*x**4 + 2*x + 1/560*x**8 + 0*x**3. Let q(n) = 0. What is n?
-4, -1, 0, 2/3, 1
Let a(w) be the first derivative of 0*w - 1/20*w**4 + 1/25*w**5 - 1/15*w**3 + 1/10*w**2 - 89. Factor a(p).
p*(p - 1)**2*(p + 1)/5
Let p(i) be the second derivative of 1/27*i**4 + 4*i + 32/9*i**2 - 5 - 34/27*i**3. Solve p(o) = 0 for o.
1, 16
Let y(o) be the first derivative of 2*o**5/35 + 123*o**4/14 + 3510*o**3/7 + 86697*o**2/7 + 711828*o/7 - 292. Factor y(z).
2*(z + 6)*(z + 39)**3/7
Let u(w) be the third derivative of -1/200*w**6 + 0 + 0*w**4 - 2/5*w**3 - 2*w**2 + 38*w + 3/100*w**5. Determine f, given that u(f) = 0.
-1, 2
Let n(m) be the second derivative of 3/13*m**2 - 1/130*m**5 - 7/39*m**3 + 5/78*m**4 + 22*m + 2. Solve n(t) = 0 for t.
1, 3
Suppose 0 = 2*p + 31*p + 48*p - 405. Let u(z) be the third derivative of 0*z**3 + 0*z + 0 + 1/120*z**6 + 0*z**p - 8*z**2 - 1/24*z**4. Factor u(t).
t*(t - 1)*(t + 1)
Let o(c) = c**2 + c + 1. Let x(a) = a**3 - 9*a**2 - 10*a - 6. Let y be 2 + 1 - 2 - 4/2. Let w(q) = y*x(q) - 6*o(q). Factor w(k).
-k*(k - 4)*(k + 1)
Suppose 3*m = -40*n + 45*n + 80, 2*n + 2*m = -16. Let r be (-2 - 0)/(-7*n/(-182)). Factor 0 - 9/5*t**2 - 39/5*t**3 + 0*t - 12/5*t**r.
-3*t**2*(t + 3)*(4*t + 1)/5
Let a = -459/40 - -58/5. Let l(m) be the third derivative of -a*m**4 - 11*m**2 + 1/3*m**3 + 0 + 0*m**5 + 0*m + 1/120*m**6. Find v, given that l(v) = 0.
-2, 1
Suppose 189*y = 323*y - 402. Let g(l) be the first derivative of -243/4*l - 1 - 1/4*l**y - 27/4*l**2. Factor g(q).
-3*(q + 9)**2/4
Let f(x) be the third derivative of 0*x - 5 - 17/24*x**4 - 1/120*x**5 + 0*x**3 + 7*x**2. Factor f(m).
-m*(m + 34)/2
Let l(z) be the first derivative of z**3/6 - 22*z**2 + 320*z + 11616. Determine o, given that l(o) = 0.
8, 80
Let x(q) = 54*q**2 - 22*q - 196. Let d(u) = -101*u - 65 + 52*u + 20*u**2 + 42*u - 3*u**2. Let y(t) = -16*d(t) + 5*x(t). Factor y(r).
-2*(r - 6)*(r + 5)
Let w(z) = z**2 + 2*z + 4. Let b(q) = 15*q**2 - 90*q + 215. Let d(c) = -b(c) + 20*w(c). Factor d(i).
5*(i - 1)*(i + 27)
Let f(m) = 4*m**3 + 2144*m**2 - 2084*m + 48. Let n(s) = -s**3 - 714*s**2 + 695*s - 15. Let l(c) = 5*f(c) + 16*n(c). Factor l(d).
4*d*(d - 175)*(d - 1)
Let j(o) be the second derivative of o**5/110 + 21*o**4/22 + 20*o**3/11 - 124*o**2/11 - 19*o - 6. Factor j(h).
2*(h - 1)*(h + 2)*(h + 62)/11
Let c(y) be the first derivative of y**3 - 15*y**2/2 - 72*y + 257. Factor c(m).
3*(m - 8)*(m + 3)
Let z(s) be the first derivative of -3*s**5 - 21*s**4 - 28*s**3 + 24*s**2 + 5300. Factor z(l).
-3*l*(l + 2)*(l + 4)*(5*l - 2)
Let w be -2 - (-1 + 6 + 