/8 - 135*a**2/2 - 6904*a. Solve b(s) = 0 for s.
-30, 3/5, 4
Determine s, given that 46*s - 68*s**2 - 11097*s**3 + 11093*s**3 - 166*s = 0.
-15, -2, 0
Suppose 5*r - k - 4 = -1, 5*r - 2*k - 1 = 0. Let t be (3 - r) + (16/(-6))/4. Find s such that 8/3*s**4 - 4/3*s**2 - 8/3*s**3 - t - 2/3*s**5 + 10/3*s = 0.
-1, 1, 2
Suppose -4*w = -q - 176, -171 = -5*w + 3*q + 42. Let d be (3861/w)/(-13) + 7. Factor -1/5*y**2 + 3/5*y - d.
-(y - 2)*(y - 1)/5
Let i(d) be the first derivative of 5*d**4/4 + 65*d**3/3 - 35*d**2 + 250. Factor i(g).
5*g*(g - 1)*(g + 14)
Let f(d) be the first derivative of d**6/6 + 37*d**5/5 - 39*d**4/4 - 37*d**3/3 + 19*d**2 + 598. Factor f(u).
u*(u - 1)**2*(u + 1)*(u + 38)
Let z(m) be the second derivative of -3*m**5/40 - 139*m**4/4 + 279*m**3/4 - 1882*m. Let z(o) = 0. Calculate o.
-279, 0, 1
Let r(p) be the second derivative of p**4/8 - 367*p**3/4 - 276*p**2 + 801*p. Find n such that r(n) = 0.
-1, 368
What is z in 0*z + 2/5*z**4 + 108*z**2 - 102/5*z**3 + 0 = 0?
0, 6, 45
Suppose 38 + 367*p**3 + 12958 + 365*p**3 - 734*p**3 - 7930*p - 256*p**2 + 3904 = 0. What is p?
-65, 2
Let j(p) be the third derivative of 1/4*p**5 + 0 + 11/24*p**6 + 0*p + 32*p**2 + 0*p**3 + 0*p**4 + 4/21*p**7. Solve j(x) = 0.
-1, -3/8, 0
Find r, given that 434/19*r + 52/19*r**2 + 1176/19 + 2/19*r**3 = 0.
-12, -7
Suppose 0*d - 3*d + 2*u - 25 = 0, -17 = d - 5*u. Let v be ((-20)/15 + 2)*15 + d. Factor -1/5*y**v - 1/5*y**4 + 2/5*y**2 + 0 + 0*y.
-y**2*(y - 1)*(y + 2)/5
Suppose 0*m + 4*m + 32 = 0. Let v be (m + 2)/(-2 + 1). Solve -v*j**3 - 161*j**4 + 2*j**2 + 164*j**4 + j**2 = 0.
0, 1
Let h = -70 + 73. Factor 28*j**2 + 36 + 68*j + 2*j**3 + 5*j**3 + 6*j**3 - 17*j**h.
-4*(j - 9)*(j + 1)**2
Let j = -15/349 - -3201/1396. Suppose -j - 57/8*q + 15/8*q**4 - 9/8*q**3 - 57/8*q**2 + 3/4*q**5 = 0. Calculate q.
-3/2, -1, 2
Let -2094952 + 9*n - 10*n**3 + n**5 + 2094952 = 0. Calculate n.
-3, -1, 0, 1, 3
What is y in 1/5*y**3 + 71/5*y - 21 - 3*y**2 = 0?
3, 5, 7
Let g(w) be the second derivative of -w**6/15 - 3*w**5/5 - 13*w**4/6 - 4*w**3 - 4*w**2 - 72*w + 42. Solve g(k) = 0 for k.
-2, -1
Let a(k) be the third derivative of -k**8/784 - k**7/35 + 17*k**6/70 - 18*k**5/35 - 9*k**2 + 279. Factor a(j).
-3*j**2*(j - 2)**2*(j + 18)/7
Suppose 4*j = q + 31 - 6, 5*j + 2*q = 54. Let r(o) be the first derivative of -4/5*o**5 + 39 + j*o - 3*o**4 + 6*o**2 - 4/3*o**3. Find l such that r(l) = 0.
-2, -1, 1
Let q = -67 - -62. Let u be ((-16)/24)/(2/9) - q. Factor u*t**2 + 39 - 14*t + 34 - 73.
2*t*(t - 7)
Suppose 4*v - 552 = -3*x, x + 27 - 305 = -2*v. Factor -85*q**2 + 418*q**3 - 141*q**3 - 141*q**3 - v*q**3.
-5*q**2*(q + 17)
Let x(q) be the third derivative of -q**8/23520 - q**7/1260 - q**6/420 + q**4/12 + 4*q**3/3 - 10*q**2. Let g(j) be the second derivative of x(j). Factor g(k).
-2*k*(k + 1)*(k + 6)/7
Let x(y) be the first derivative of -y**5/8 + 11*y**4/4 - 11*y**3 + 10*y**2 + 14*y + 410. Let x(l) = 0. Calculate l.
-2/5, 2, 14
Suppose 0 = -29*u - 17791 - 15559. Let s = -4599/4 - u. Factor 0 - 1/2*l**3 + s*l**4 + 1/2*l - 1/4*l**2.
l*(l - 2)*(l - 1)*(l + 1)/4
Let q(x) be the first derivative of x**6/10 - 3*x**5/25 - 3*x**4/10 - 7856. Find a such that q(a) = 0.
-1, 0, 2
Let n(x) be the second derivative of x**4/6 + 700*x**3/3 + 699*x**2 - 1320*x - 2. What is m in n(m) = 0?
-699, -1
Let y(i) = i + 12. Let g be y(-14). Let p be (-1 - g - 9/(-1)) + -1. Factor -2*a**3 - 6*a**5 + p*a**5 + a - 2*a**5.
a*(a - 1)**2*(a + 1)**2
Let u = 688/25 + -1927/100. Find g, given that 0 + u*g**2 - 18*g - 3/4*g**3 = 0.
0, 3, 8
Suppose 0 = 2*c - 30 - 96. Let -3*o**3 + c + 33*o**2 - 32*o + 6 - 64*o + 15 = 0. What is o?
2, 7
Find q such that -2042/9*q**2 + 3844/9 - 186*q - 2/9*q**4 - 14*q**3 = 0.
-31, -2, 1
Let i = 631 - 548. Factor -35 - i - 5*w**2 - 159 - 128 - 90*w.
-5*(w + 9)**2
Let x(a) be the first derivative of 59582/5*a - 649/20*a**4 + 217 - 1333*a**3 - 202771/10*a**2 - 7/25*a**5. Factor x(n).
-(n + 31)**3*(7*n - 2)/5
Let q = -793 - -813. Factor q*b**4 - 21 + 73*b - 19 - 85*b + 164*b**2 - 132*b**3.
4*(b - 5)*(b - 1)**2*(5*b + 2)
Let g(z) be the second derivative of z**7/2520 + z**6/90 - z**5/360 - z**4/6 + z**3/2 + z**2 - 18*z - 1. Let p(q) be the second derivative of g(q). Factor p(j).
(j - 1)*(j + 1)*(j + 12)/3
Let u(s) be the second derivative of 3*s**7/14 + 79*s**6/90 - 11*s**5/20 - 79*s**4/36 + s**3/3 + 457*s. Suppose u(c) = 0. Calculate c.
-3, -1, 0, 2/27, 1
Let k(y) be the third derivative of y**6/180 + 107*y**5/90 - 55*y**4/6 - 54*y**2 - y. Factor k(f).
2*f*(f - 3)*(f + 110)/3
Suppose -10*c + 18 + 22 = 0. Let o be 3/c*1*272/102. Solve -1/7 + 1/7*j**o + 0*j = 0.
-1, 1
Suppose 4*i + 374 + 334 = 4*a, -2*a + i + 359 = 0. Solve -170 + 5*g**4 - 30*g**2 + 337 - a + 38*g + 2*g = 0.
-3, 1
Let d(q) = -3*q**2 - 2. Let o(j) = -118*j**2 - 5368*j - 59534. Let w(v) = -4*d(v) - 4*o(v). Factor w(c).
4*(11*c + 244)**2
Let f(l) be the second derivative of -l**5/90 - 91*l**4/54 - 235*l**3/3 - 225*l**2 - 4*l + 48. Factor f(o).
-2*(o + 1)*(o + 45)**2/9
Suppose 3*d = x + x + 74, 0 = 2*d + 5*x - 43. Suppose 60 = 5*l + 2*w, w = -4*l + d + 21. Factor l*p**5 + 3*p**2 + 26*p**4 + 5 - 5 - 4*p + 18*p**3 - 5*p**2.
2*p*(p + 1)**3*(5*p - 2)
Let k(u) be the third derivative of -19*u**2 + 1/80*u**5 + 0 + 0*u + 1/1440*u**6 + 5/96*u**4 + 3*u**3. Let f(n) be the first derivative of k(n). Factor f(p).
(p + 1)*(p + 5)/4
Let l(s) be the third derivative of 1/300*s**6 + 0*s + 0*s**4 + 0 - 18*s**2 - 1/75*s**5 + 0*s**3. Factor l(x).
2*x**2*(x - 2)/5
Let l(o) be the third derivative of 0*o + 3/20*o**5 + 5 - 1/70*o**7 - 11/8*o**4 + 3*o**3 + 3/40*o**6 - 21*o**2. Factor l(g).
-3*(g - 3)*(g - 1)**2*(g + 2)
Let y be (-92)/(-184) - 1/(4/(-14)). Suppose d = -5, -7*s + 2*s - y*d - 20 = 0. Factor -1/3*p**2 + 2/3*p + s.
-p*(p - 2)/3
Let y(g) be the third derivative of -2*g**7/105 + g**6/15 + 23*g**5/15 - 4*g**4 - 96*g**3 - 4*g**2 - 299. Solve y(c) = 0 for c.
-3, 4
Suppose -5*v**2 - 67 - 298*v - 57*v - 239 - 44 = 0. Calculate v.
-70, -1
Let m be ((-24)/8784)/(4/1194*-6). Let v = m + -2/183. Factor -1/8*c**3 - 3/8*c**2 + 1/8*c**4 + v*c + 1/4.
(c - 2)*(c - 1)*(c + 1)**2/8
Let h(b) be the third derivative of 1/3*b**5 - 2/75*b**6 + 16/15*b**3 + 13*b + 0 - 2/175*b**7 - 2*b**2 - 13/15*b**4. Suppose h(a) = 0. What is a?
-4, 2/3, 1
Let o(i) = -16*i**2 + 3619*i + 1634417. Let z(s) = 118*s**2 - 25334*s - 11440914. Let g(p) = -44*o(p) - 6*z(p). Suppose g(q) = 0. What is q?
-904
Let w be ((-98)/196*2/1)/(-3). Factor 0 - 2/3*h - w*h**2 + 1/3*h**3.
h*(h - 2)*(h + 1)/3
Let z(b) = 44*b**2 + 332*b - 56. Let o(c) = -4*c**2 - 30*c + 4. Let v(u) = -32*o(u) - 3*z(u). Let v(d) = 0. Calculate d.
-10, 1
Suppose 33 = 26*z - 15*z. Factor 3888 - 3*r**z + 112*r**2 - 4104*r + 199*r**2 - 92*r**2.
-3*(r - 36)**2*(r - 1)
Factor -6 - 322015259*b**3 - 88157148*b**3 - 1586*b + 2 - 643*b - 1656147*b**2 + 3.
-(743*b + 1)**3
Let p be ((420/49)/(-5))/((-858)/(-819)) - -2. Factor -p*a + 2/11*a**2 - 16/11.
2*(a - 4)*(a + 2)/11
Let y(u) be the second derivative of u**4/4 + 7*u**3/6 + 27*u**2/2 - 10*u. Let j be y(-12). Factor 75*n**2 - 267 - j*n + 568 + 324 - 5*n**3.
-5*(n - 5)**3
Let r(s) be the third derivative of -s**7/8820 - s**6/90 - 7*s**5/15 + s**4/24 + 43*s**3/6 + 6*s**2 - 6. Let c(u) be the second derivative of r(u). Factor c(j).
-2*(j + 14)**2/7
Find l, given that 596/9*l**2 + 4400/9*l + 8228/9 + 8/3*l**3 = 0.
-11, -17/6
Factor 11/3*h - 1/6*h**4 - 2*h**3 - 3/2*h**2 + 0.
-h*(h - 1)*(h + 2)*(h + 11)/6
Factor -146 - 161*a - 2367*a**2 - 370 + 2371*a**2 - 351*a.
4*(a - 129)*(a + 1)
Let g(z) = -5*z**2 - 3179*z + 297979. Let x(a) = -a**2 - 793*a + 74495. Let i(r) = 6*g(r) - 26*x(r). Solve i(y) = 0.
193
Let p = 4/55011 - -403402/165033. Solve 56/9 + 2/9*m**3 + 64/9*m + p*m**2 = 0.
-7, -2
Determine d, given that 38*d**2 - 106*d**2 + 27*d**2 + 7*d**2 + 1616*d - 652864 + 33*d**2 = 0.
808
Let i = -24043/2 - -12277. Let y = i - 248. Factor -2 + y*w**2 + 9/2*w**5 + 0*w - 15/2*w**4 - 5/2*w**3.
(w - 1)**3*(3*w + 2)**2/2
Let y be (-150)/(-645)*1075/10. Let -440/3*j**2 + 20*j - y*j**3 + 0 = 0. Calculate j.
-6, 0, 2/15
Let u(x) = x**3 + 1509*x**2 - 567026*x + 565502. Let t(h) = 3*h**3 + 3020*h**2 - 1134061*h + 1131003. Let b(w) = 4*t(w) - 10*u(w). Factor b(l).
2*(l - 752)**2*(l - 1)
Let h(f) be the third derivative of -