34 = 0?
-7, -1
Suppose -113 = -130*s - 16 + 163. Factor 0 - 2/11*z**s + 16/11*z.
-2*z*(z - 8)/11
Let m(s) be the first derivative of 24 - 35/3*s**3 + 15/4*s**4 - 75/2*s**2 + 90*s + s**5. Factor m(v).
5*(v - 2)*(v - 1)*(v + 3)**2
Let i(g) = -2220*g**2 - 1450*g + 42. Let w(r) = 1110*r**2 + 725*r - 22. Let s(m) = -6*i(m) - 11*w(m). Suppose s(p) = 0. What is p?
-2/3, 1/74
Let f(y) be the third derivative of y**8/560 - y**7/280 - y**6/60 + 86*y**3/3 + y**2 + 109*y. Let g(r) be the first derivative of f(r). Factor g(a).
3*a**2*(a - 2)*(a + 1)
Let q = -68386 + 478705/7. Factor -1/7*z**4 + 3/7*z**3 - q*z + 1/7*z**2 + 0.
-z*(z - 3)*(z - 1)*(z + 1)/7
Let y = 103496 - 103493. Solve 3/5*a - 2/5*a**2 + 1/5*a**5 + 2/5*a**4 + 0 - 4/5*a**y = 0.
-3, -1, 0, 1
Factor 91*f**2 - f**5 + 32*f**4 - 64*f**2 - 14*f**4 + 101*f**2 + 96*f**3 + 2*f**5.
f**2*(f + 2)*(f + 8)**2
Let h(p) be the first derivative of -p**4 - 460*p**3/3 - 454*p**2 - 452*p - 180. Determine w so that h(w) = 0.
-113, -1
Let n(g) be the second derivative of -5/2*g**4 + 2 + 5/6*g**5 - 9*g**3 - 9*g**2 + 113*g. Solve n(s) = 0 for s.
-3/5, 3
Let m be 202/(-60) + 7304/1992. Determine k, given that 8/5*k**2 + m*k**3 - 3/5 - 13/10*k = 0.
-6, -1/3, 1
Suppose -26*o - 4*w = -24*o + 8, 6 = -2*w. Let k(t) be the third derivative of 0 - 16*t**o + 1/18*t**4 + 0*t + 0*t**5 - 1/90*t**6 + 0*t**3. Factor k(s).
-4*s*(s - 1)*(s + 1)/3
Suppose 577*n = 1196 + 395 + 717. Find x, given that 58/19*x**n - 150/19*x**3 + 170/19*x**2 - 82/19*x - 8/19*x**5 + 12/19 = 0.
1/4, 1, 2, 3
Suppose -84*i - 2/7*i**3 - 14*i**2 + 0 = 0. Calculate i.
-42, -7, 0
Let o be -3*(3 + -2) - -1. Let j be (2 + 2)*(-1)/o. Factor x**3 + 0*x + 2*x - x**5 - j*x.
-x**3*(x - 1)*(x + 1)
Let f(a) be the first derivative of -a**6/18 - 124*a**5/15 + 21*a**4/2 + 124*a**3/9 - 125*a**2/6 + 667. Determine l, given that f(l) = 0.
-125, -1, 0, 1
Let t(o) be the first derivative of o**4/3 - 14*o**3 - 92*o**2 + 23*o - 13. Let h(k) be the first derivative of t(k). Factor h(p).
4*(p - 23)*(p + 2)
Find l such that 2455*l - 2649*l + 192 + 4*l**2 - 7*l**2 + 5*l**2 = 0.
1, 96
Let t(k) be the first derivative of -k**6/6 - 9*k**5/4 + 35*k**4/4 - 55*k**3/6 - 17*k + 3. Let f(j) be the first derivative of t(j). Let f(n) = 0. What is n?
-11, 0, 1
Let l(w) be the first derivative of 2/5*w**2 - 8/5*w + 4/15*w**3 - 60. Factor l(c).
4*(c - 1)*(c + 2)/5
Let 2/15*a**4 + 56/5 + 226/15*a**2 - 344/15*a - 52/15*a**3 = 0. Calculate a.
1, 2, 21
Let y(s) be the first derivative of -32*s**3/3 - 168*s**2 - 882*s - 1892. Factor y(v).
-2*(4*v + 21)**2
Let t(h) be the first derivative of 7/300*h**6 + 4/15*h**3 + 0*h + 3/25*h**5 - 39 + 1/4*h**4 + 3/2*h**2. Let c(v) be the second derivative of t(v). Factor c(f).
2*(f + 1)**2*(7*f + 4)/5
Suppose 0 = 2*d - 6*x + 7*x - 6, 14 = 5*d + 2*x. Let u be d + (-22)/(-26) + (-176)/(-1144). Factor 2/7*z**u + 2/7 + 6/7*z + 6/7*z**2.
2*(z + 1)**3/7
Let r be ((-20)/3)/((-40)/(-6) - 6). Let s be 20/(((-24)/r)/(8/20)). What is f in 0*f**2 + 5*f - s - 5/3*f**3 = 0?
-2, 1
Let q(m) be the third derivative of m**7/5040 + m**6/180 - 3*m**5/80 - 199*m**4/24 + 284*m**2. Let v(f) be the second derivative of q(f). Factor v(d).
(d - 1)*(d + 9)/2
Let a(l) = 6*l + 219. Let z be a(-35). Let t be ((-24)/(-16))/(z/3)*4. Determine f, given that 3 - 3/2*f - 3/2*f**t = 0.
-2, 1
Let h = -5/1649 - -3373/24735. Let x(q) be the second derivative of 1/5*q**5 - h*q**6 + q**4 - 4*q**2 + 0 - 2/3*q**3 + 26*q. Solve x(g) = 0 for g.
-1, 1, 2
Suppose 0 = 3*j + 12, -7*j = p - 5*j + 608. Let o = -598 - p. Determine m, given that 54/7*m + 54/7 - 2/7*m**5 - 18/7*m**4 - 52/7*m**3 - 36/7*m**o = 0.
-3, -1, 1
Suppose 3602 - 14227 = -425*r. Let n(c) be the third derivative of -c**2 + r*c + 2/3*c**3 + 0 + 1/8*c**4 + 1/120*c**5. Let n(y) = 0. Calculate y.
-4, -2
Let t = 10/1243 + 1213/3729. Let z(g) = g**2 - 16*g + 2. Let o be z(16). Solve 5/3 + t*s**o - 2*s = 0 for s.
1, 5
Let a(l) = -6*l + 86. Let n be a(14). Solve 22*h**n + h**3 - 6*h**3 - 2*h**2 + 0*h**3 = 0 for h.
0, 4
Let f(w) be the first derivative of -2*w**3/27 - 94*w**2/3 - 4418*w - 2910. Factor f(o).
-2*(o + 141)**2/9
Find f, given that -144/5*f**5 + 1128/5*f**4 + 1398/5*f**2 - 294/5*f - 2308/5*f**3 + 4 = 0.
1/6, 1/2, 2, 5
Let m(w) be the third derivative of w**6/24 - 5*w**5/6 + 155*w**4/24 - 25*w**3 + 3486*w**2. Factor m(j).
5*(j - 5)*(j - 3)*(j - 2)
Let l = 8161/40 - 204. Let s(z) be the third derivative of 0 + 0*z - l*z**5 - 2*z**2 + 0*z**4 + 1/4*z**3. Suppose s(c) = 0. Calculate c.
-1, 1
Suppose 964 = 9*q + 928. Factor 6*d**3 + 13*d**3 - 26*d**3 + 176*d + 320 + 12*d**2 - d**q.
-(d - 5)*(d + 4)**3
Let c = 1854 - 1852. Let f = -12/53 + 183/106. Determine o so that o - f + 1/2*o**c = 0.
-3, 1
Let a(c) be the second derivative of 5*c**4/12 + 100*c**3/3 + 1155*c**2/2 - 185*c. Determine f so that a(f) = 0.
-33, -7
Suppose 1/9*c**2 + 47/9*c + 280/9 = 0. Calculate c.
-40, -7
Suppose 4*d + 3*k - 7 = -d, 3*d - k = 7. Factor 8/3*q**d + 2/3*q - 8/3 - 2/3*q**3.
-2*(q - 4)*(q - 1)*(q + 1)/3
Let h(d) be the second derivative of 0*d**4 + 0 + 0*d**2 - 24*d + 1/45*d**5 + 1/45*d**6 + 1/189*d**7 + 0*d**3. Suppose h(a) = 0. Calculate a.
-2, -1, 0
Let m(r) = -r**3 - 4*r**2 + 2*r + 9. Let k be m(-4). Let g be (1 - 0)*(k + -1). Determine s so that 5/4*s**3 + g + 1/2*s**2 - 3/4*s = 0.
-1, 0, 3/5
Let q be 242/360 + 246/(-369). Let j(k) be the second derivative of q*k**6 + 0 + 0*k**2 - 20*k + 1/24*k**4 + 0*k**3 + 1/30*k**5. Factor j(g).
g**2*(g + 1)*(g + 3)/6
Let f(z) = 2*z**2 - 24*z + 144. Let v(u) = -u**2 - u. Let g(a) = f(a) + 4*v(a). Factor g(d).
-2*(d - 4)*(d + 18)
Suppose 1499*p - 4368 = 43*p. Factor 0*o - 1/9*o**4 + 0 + 5/9*o**p - 4/9*o**2.
-o**2*(o - 4)*(o - 1)/9
Suppose 0*j = 5*j. Let b = 7981/60645 - -7/4043. Suppose j + b*l**2 - 2/5*l = 0. What is l?
0, 3
Let w(n) be the third derivative of n**5/15 + n**4/3 - 160*n**3/3 - 646*n**2. Factor w(m).
4*(m - 8)*(m + 10)
Let y(u) be the second derivative of -55/6*u**4 + 3/2*u**6 - 95*u + 20*u**2 + 0 + 10/3*u**3 - 9/4*u**5. Find d, given that y(d) = 0.
-1, -2/3, 2/3, 2
Let g(b) be the third derivative of -2*b**7/21 - 37*b**6/24 - 65*b**5/12 - 35*b**4/12 + 2*b**2 + 1618. What is r in g(r) = 0?
-7, -2, -1/4, 0
Suppose 2385*p + 36 - 12 = 2393*p. Let m(q) be the first derivative of -3/4*q**4 + 9*q + q**p + 15/2*q**2 - 13. Factor m(a).
-3*(a - 3)*(a + 1)**2
Determine u so that -45/2*u**4 - 115/2*u**3 + 0 + 5/2*u**5 + 55*u + 45/2*u**2 = 0.
-2, -1, 0, 1, 11
Let x(y) be the first derivative of y**5/230 - 8*y**4/69 + 13*y**3/69 + 30*y**2/23 + 242*y + 68. Let q(i) be the first derivative of x(i). Factor q(z).
2*(z - 15)*(z - 2)*(z + 1)/23
Let c be 1 - 4 - 10*19/(3990/(-96)). Determine v, given that 24/7*v - c*v**2 - 4/7 = 0.
2/11, 2
Factor 394*k + 210*k + 312 - 260*k + k**2 - 17*k**2 + 482*k.
-2*(k - 52)*(8*k + 3)
Let r(a) be the third derivative of -a**5/150 - 119*a**4/12 - 198*a**3/5 + 8*a**2 - 16*a - 2. Determine d, given that r(d) = 0.
-594, -1
Suppose -13*p = -6*p. Suppose 3*i + t - 4 = p, 29*i - 24*i + 5*t - 20 = 0. Solve i - 2/5*k**2 + 0*k**3 + 2/5*k**4 + 0*k = 0.
-1, 0, 1
Let h be (-8)/8 - 9/(-3). Factor 3*x**3 + x + 4*x**2 - 6 - h*x**3 - 2 + 2.
(x - 1)*(x + 2)*(x + 3)
Factor 66/7*c**3 + 26/7*c**4 - 36/7*c**2 + 0 + 0*c.
2*c**2*(c + 3)*(13*c - 6)/7
Let x(m) be the second derivative of -m**4/60 + 49*m**3/2 - 2578*m. Solve x(b) = 0 for b.
0, 735
Let u(d) = 5*d - 78. Let v be u(16). Factor 22*t + 23*t**2 + 26*t**v - 47*t**2.
2*t*(t + 11)
Let h(i) be the second derivative of -7 + 1/6*i**4 + 0*i**5 + 0*i**2 - 2*i - 2/9*i**3 - 1/45*i**6. Factor h(a).
-2*a*(a - 1)**2*(a + 2)/3
Let x be 150/(-250)*(-50)/6. Let w(u) be the first derivative of 0*u - 2/15*u**3 + 0*u**4 + 1/30*u**6 - 1 + 2/25*u**x - 1/10*u**2. Suppose w(l) = 0. What is l?
-1, 0, 1
Let y(w) = -1106*w + 35395. Let b be y(32). Let 1/3*g**b + 0 - g**2 + 2/3*g = 0. Calculate g.
0, 1, 2
Let q = -48333/5 + 48337/5. Factor q*d**2 + 0 + 2/5*d**5 - 6/5*d**3 + 0*d**4 + 0*d.
2*d**2*(d - 1)**2*(d + 2)/5
Let f(v) = 15*v**2 - 51*v - 100. Let i(x) = -135*x**2 + 460*x + 900. Let s(d) = -35*f(d) - 4*i(d). What is a in s(a) = 0?
-4/3, 5
Suppose 37*o - 18 = 28*o. Factor -3 + 3*z**o + z**3 + 12*z - 27*z + 14*z.
(z - 1)*(z + 1)*(z + 3)
Let 200 - 110*o + 147*o**5 - 2155*o**3 + 2270*o*