*h**3/57 + 210*h**2/19 + 3049*h. Let s(p) = 0. What is p?
-14, -1, 15
Let o(t) be the first derivative of -2*t**5/15 + 2*t**3/3 - 2*t**2/3 - 810. Factor o(d).
-2*d*(d - 1)**2*(d + 2)/3
Solve 44/9*z**2 + 2/9*z**3 - 1088/9*z + 4864/9 = 0 for z.
-38, 8
Factor -307*a**2 - 3096*a + 73*a**2 + 77*a**2 + 81*a**2 + 798768 + 79*a**2.
3*(a - 516)**2
Let s(d) be the first derivative of 5/2*d**3 - 15/2*d - 5/4*d**2 - 62 + 5/8*d**4. What is w in s(w) = 0?
-3, -1, 1
Factor 387*c - c**2 + 93 - 359*c + 0*c**2.
-(c - 31)*(c + 3)
Let v(m) = -12*m**3 - 70*m**2 - 85*m - 30. Let u(y) = -168*y - 132*y**2 + 14*y**3 - 39*y**3 - 2*y - 60 - 8*y**2. Let f(c) = 3*u(c) - 5*v(c). Factor f(g).
-5*(g + 1)*(g + 3)*(3*g + 2)
Let g(n) be the first derivative of 8*n**3/3 - 28*n - 1. Let j(c) = 11*c - 124. Let o be j(11). Let r(m) = m**2 - 4. Let i(t) = o*g(t) + 20*r(t). Factor i(x).
-4*(x - 1)*(x + 1)
Suppose 3*x - 2*a = 12, x + 4 = -4*a - 6. Let o = 5023318/9418665 + -2/627911. Find f such that o - 8/15*f + 2/15*f**x = 0.
2
Solve -193*m**4 - 105*m - 11377*m**5 + 98*m**3 + 3788*m**5 + 3797*m**5 + 97*m**2 + 177*m**2 - 81 + 3799*m**5 = 0.
-1, -3/7, 1, 27
Let x(w) = -14*w**3 - 223*w**2 + 1211*w - 1498. Let l(g) = 8*g**3 + 111*g**2 - 605*g + 750. Let s(y) = 10*l(y) + 6*x(y). Find m such that s(m) = 0.
-62, 2, 3
Let p(f) be the first derivative of 5*f**3/2 + 531*f**2/8 - 81*f/2 + 895. Solve p(c) = 0 for c.
-18, 3/10
Let h be 3*(8/54)/((-104)/(-78)). Let z(p) be the second derivative of 1/3*p**4 + 0 + 13*p + h*p**3 - 2*p**2 - 1/10*p**5. Solve z(a) = 0.
-1, 1, 2
Let g(f) be the first derivative of -f**5/120 + f**4/18 - 60*f - 65. Let x(a) be the first derivative of g(a). Suppose x(m) = 0. Calculate m.
0, 4
Let v = -708 + 736. Suppose k - v = -26. What is y in -2/7*y**k + 0 + 0*y = 0?
0
Let m(g) be the second derivative of g**6/180 - g**5/15 + g**4/3 - 8*g**3/9 + 4*g**2/3 - 425*g + 3. Find b, given that m(b) = 0.
2
Let s(x) be the first derivative of -128*x + 4/3*x**3 - 128 + 62*x**2. Solve s(y) = 0 for y.
-32, 1
Let g(v) be the second derivative of -v**4/54 - 26*v**3/9 - 152*v**2/9 + 2*v - 669. Solve g(t) = 0.
-76, -2
Let y(k) be the second derivative of 3*k**5/20 - 11*k**4/4 + 14*k**3 - 1473*k. Let y(p) = 0. Calculate p.
0, 4, 7
Let h = -142 + 143. Let n be -5 + (-266)/(-49) + h. Suppose -2/7*z**2 + n - 8/7*z = 0. What is z?
-5, 1
Let n = -1741169 + 22635247/13. Factor 2/13*z**5 - 120/13*z**2 + 0 + 92/13*z**3 - 24/13*z**4 + n*z.
2*z*(z - 5)**2*(z - 1)**2/13
Let d be (150/100)/((-3)/(-6)). Suppose -5*s + 5 = d*g, s - 23 = 3*g - 4. Determine l, given that 15/7*l**s - 3/7*l**3 + 3/7*l + 0 - 15/7*l**2 = 0.
-1, 0, 1/5, 1
Let d(f) = 2*f**2 + 13*f - 252. Let i be d(-15). Factor 0*h - 11/5*h**i + 7/5*h**4 - 1/5*h**5 + 0 + h**2.
-h**2*(h - 5)*(h - 1)**2/5
Let z(l) = 13*l + 60. Let g be z(-4). Let v be (3 + 33/(-6))*-2. What is y in g*y - v*y**2 + 25*y - 13*y = 0?
0, 4
Suppose 5*j + 4 = 14. Suppose 2*q + 0*v - v = 1, 0 = -q - v + 8. Find p, given that -q*p**5 - 2*p**5 + j*p**5 = 0.
0
Suppose 4*g = 4, 241*j - 237*j - 1 = 7*g. Solve 8/9 + 14/9*a - 4/9*a**j = 0.
-1/2, 4
Suppose 16*c + 210 = 58*c. Suppose 3 = -g - c*a, -2*g = 3*a + 100 - 101. Factor 0 + 0*j - 2/5*j**3 - 4/5*j**g.
-2*j**2*(j + 2)/5
Let d(k) be the first derivative of k**6/24 - 201*k**5/4 + 202005*k**4/8 - 13534335*k**3/2 + 8161204005*k**2/8 - 328080401001*k/4 + 196. Factor d(v).
(v - 201)**5/4
Let t(l) be the third derivative of l**8/1848 + l**7/35 - 29*l**6/132 + 23*l**5/66 + 12*l**4/11 - 148*l**3/33 + 44*l**2 + 6*l - 4. Solve t(y) = 0.
-37, -1, 1, 2
Let y(j) = -71*j**2 - 21*j + 108. Let g(k) = 13*k**2 + 4*k - 21. Let n(r) = 11*g(r) + 2*y(r). Factor n(t).
(t - 3)*(t + 5)
Let q = -7418 - -7421. Let b(x) be the first derivative of -3/2*x**2 - 5/4*x**q - 3/16*x**4 + 0*x + 8. Find n such that b(n) = 0.
-4, -1, 0
Suppose 0 = 76*p - 70*p - 300. Let -2*s**3 - s - p*s**2 + 54*s**2 - s = 0. Calculate s.
0, 1
Suppose -3*x - 597 = -603. Factor 3*d**2 + 7 + 8*d - 9 - d**x + 2.
2*d*(d + 4)
Suppose 2*q - 2 = 3*q - 2*u, -u + 8 = 3*q. Factor -5*g**2 + 0*g**q - 157*g + 383*g - 7015 + 214*g - 2665.
-5*(g - 44)**2
Let p(h) = -h**3 + 8*h**2 + h - 1. Suppose 19 = -5*w - 16. Let f(i) = -i + 3*i**3 - 2*i**3 + 2 - 1 - 4*i**2 - 3*i**2. Let x(s) = w*f(s) - 6*p(s). Factor x(a).
-(a - 1)**2*(a + 1)
Let t(f) = -48*f**4 - 88*f**3 - 6840*f**2 + 13968*f - 7048. Let a(g) = -5*g**4 - 10*g**3 - 760*g**2 + 1552*g - 783. Let d(y) = 28*a(y) - 3*t(y). Factor d(w).
4*(w - 15)*(w - 1)**2*(w + 13)
Let u(m) be the first derivative of m**3/7 - 63*m**2 + 5531. Factor u(d).
3*d*(d - 294)/7
Suppose 0 = -3*z - 0*z + 5*n + 21, -1 = 4*z + 3*n. What is o in 9*o**2 + 23*o + 0*o**z - 24 - 53*o = 0?
-2/3, 4
Let o(s) be the first derivative of 1/15*s**5 - 1/3*s**3 - 2/3*s - 1/12*s**4 + 5/6*s**2 + 100. Determine h, given that o(h) = 0.
-2, 1
Factor -7/4*o**3 + 0 + 21/4*o - 23/2*o**2.
-o*(o + 7)*(7*o - 3)/4
Let t(b) be the second derivative of -b**6/90 + 59*b**5/60 + 31*b**4/6 - 3*b - 513. Let t(p) = 0. Calculate p.
-3, 0, 62
Suppose -2*a - 15 = a, -3*a - 30 = 3*p. Let u be p*1 - (-884)/156. Factor 2/3*f**2 + 2/3*f**3 - u*f + 0 - 2/3*f**4.
-2*f*(f - 1)**2*(f + 1)/3
Factor -200 + 2*j**2 + 9*j**2 + j**2 - 14*j - 7*j**2 + 104*j.
5*(j - 2)*(j + 20)
Factor 96*k + 6/5*k**3 + 312/5 + 174/5*k**2.
6*(k + 1)*(k + 2)*(k + 26)/5
Let h = -134 - -809/6. Let c(p) be the second derivative of h*p**3 + 3/4*p**5 + 1/6*p**6 + 0*p**2 + 5/4*p**4 + 0 - 26*p. Suppose c(i) = 0. Calculate i.
-1, 0
Let o be (-79)/13 - (52 - 58). Let m = 11/195 - o. Factor -24/5 - 8*s - 74/15*s**2 - 4/3*s**3 - m*s**4.
-2*(s + 2)**2*(s + 3)**2/15
Let l(t) = 74*t**3 + 33*t - 8*t**2 + 2 + 59*t**2 + 54*t**2. Let m(g) = -38*g**3 - 53*g**2 - 16*g - 1. Let f(i) = -2*l(i) - 5*m(i). Factor f(d).
(d + 1)*(6*d + 1)*(7*d + 1)
Let f(j) be the third derivative of j**8/2184 + 53*j**7/455 + 1117*j**6/130 + 15049*j**5/195 + 5467*j**4/52 - 17787*j**3/13 + j**2 - 1021*j. Solve f(a) = 0.
-77, -3, 1
Factor -1 + 1057*d**4 - 448*d**4 + 1 - 14075*d**3 - 604*d**4.
5*d**3*(d - 2815)
Let x be (870/12760)/((-24)/(-704)). Solve 16/9 + 2/9*d**3 + 2/9*d**4 - 8/9*d - 4/3*d**x = 0.
-2, 1, 2
Let b(t) = 866*t - 179258. Let v be b(207). Find j, given that 11/3*j**3 - 1/3*j**5 - 20/3*j - 8/3*j**2 + 16/3 + 2/3*j**v = 0.
-2, 1, 4
Let c be 110/25 - (-2)/(-5). Suppose 51*f = 55*f - 12. Find y, given that y**5 - 14*y + 16*y - c*y**f + y**5 = 0.
-1, 0, 1
Suppose 110 + 64 = -s - 2*x, 3*x - 341 = 2*s. Let u = s - -174. Let -u*o**5 + 0*o**2 - 14/5*o**4 + 0*o + 0 - 4/5*o**3 = 0. What is o?
-1, -2/5, 0
Let 1/6*p**3 + 0*p + 0 + 233/6*p**2 = 0. What is p?
-233, 0
Let j = -822/5 + 2471/15. Let y(c) be the third derivative of j*c**4 - 4/3*c**3 + 0*c + 20*c**2 + 1/10*c**5 + 0. Let y(w) = 0. Calculate w.
-2, 2/3
Suppose 5*d - 7*a = -5*a + 239, 0 = d + 4*a - 39. Let f(u) = -u**3 - u**2 + 3*u + 6. Let m be f(-4). What is n in 5*n**3 - m*n + 3*n**2 - 13*n**2 + d*n = 0?
0, 1
Let m(b) be the second derivative of -13/7*b**3 + 0 - 10/7*b**2 + 13*b + 1/147*b**7 - 17/35*b**5 - 4/3*b**4 - 2/35*b**6. Factor m(z).
2*(z - 10)*(z + 1)**4/7
Determine g so that -15/7 + g + 1/7*g**3 + g**2 = 0.
-5, -3, 1
Let j(i) = i**3 - i**2 - i + 1. Let y = 52 - 46. Let b(r) = -9*r**3 + 6*r**2 + 9*r - 6. Let f(n) = y*j(n) + b(n). Factor f(m).
-3*m*(m - 1)*(m + 1)
Let x(a) be the third derivative of 21*a**2 + 0*a**3 + 3/5*a**5 + 0*a + 1/10*a**6 + 1/210*a**7 + 4/3*a**4 - 3. Factor x(t).
t*(t + 2)**2*(t + 8)
Let o(t) be the second derivative of 1/15*t**4 + 512/5*t**2 - 5*t - 64/15*t**3 + 16. Let o(c) = 0. What is c?
16
Let z(h) = -15*h**2 - 87*h - 302. Let i(b) = -35*b**2 - 175*b - 605. Let s(t) = 2*i(t) - 5*z(t). Factor s(a).
5*(a + 5)*(a + 12)
Let s(f) be the first derivative of -4/27*f**3 + 22 - 2/9*f + 2/15*f**5 + 4/9*f**2 - 2/9*f**4. Suppose s(h) = 0. Calculate h.
-1, 1/3, 1
Factor 955*l - 2892*l - l**3 + 953*l + 24*l**2 + 968*l - 6*l**4 - l**5.
-l*(l - 1)**2*(l + 4)**2
Let c(m) be the third derivative of -13 + 1/12*m**5 + 15/4*m**4 + 0*m + 135/2*m**3 + 4*m**2. Find x, given that c(x) = 0.
-9
Let z(d) be the first derivative of -26/3*d**3 - 22/3*d - 18*d**2 - 78 + 2/3*d**4. Factor z(c).
2*(c - 11)*(c + 1)*(4*c + 1)/3
Suppose 2*r = 2*c - 6, 14*r = 9*r - 5. Suppose -77*x - 4 - 111*x**c - 5 + 11 - 4 = 0. What is