be the second derivative of 7*u**4/32 - 65*u**3/8 - 171*u**2/16 - 4021*u. Determine q so that l(q) = 0.
-3/7, 19
Let v(s) be the first derivative of -s**4/8 + 1003*s**3/6 - 3049. Suppose v(y) = 0. Calculate y.
0, 1003
Let n(u) be the first derivative of -u**4 + 444*u**3 - 2640*u**2 + 5264*u - 362. Factor n(m).
-4*(m - 329)*(m - 2)**2
Let t(o) be the third derivative of -6/5*o**3 + 7/8*o**4 + 3*o + 0 - 3/200*o**6 + o**2 + 1/25*o**5. Factor t(y).
-3*(y - 4)*(y + 3)*(3*y - 1)/5
Let x(k) be the second derivative of -k**5/140 - 647*k**4/84 - 104975*k**3/42 - 104329*k**2/14 - 2*k + 804. Factor x(p).
-(p + 1)*(p + 323)**2/7
Let z be 24/((-2 - (-2)/(-2))/2). Let h be (z/(-3) + 0)*3/2. What is w in 4*w + 5*w**2 + 2*w**4 - w**2 - h*w**2 - 2*w**2 = 0?
-2, 0, 1
Let g(p) be the first derivative of 5*p**3/18 + 505*p**2/12 + 890*p + 4503. Factor g(d).
5*(d + 12)*(d + 89)/6
Factor 0*k - 1/4*k**4 + 0*k**2 + 0 - 7/2*k**3.
-k**3*(k + 14)/4
Factor 100/9 - 16/9*m**2 + 2/9*m**3 + 10/9*m.
2*(m - 5)**2*(m + 2)/9
Factor 37*a + 5*a**2 + 249*a + 370 + 16*a + 239*a - 166*a.
5*(a + 1)*(a + 74)
Let s(w) be the third derivative of w**7/8820 - w**6/2520 - w**5/210 - 125*w**4/24 + 2*w**2 - 68*w. Let q(v) be the second derivative of s(v). Factor q(x).
2*(x - 2)*(x + 1)/7
Let i = 4307 + -4304. Let r(m) be the first derivative of -2/51*m**i - 3 - 18/17*m**2 - 162/17*m. Factor r(u).
-2*(u + 9)**2/17
Let q(t) be the second derivative of 1/18*t**6 + 0*t**3 + 1/24*t**5 + 0*t**4 + 29*t + 0 + 5/252*t**7 + 0*t**2. Suppose q(g) = 0. Calculate g.
-1, 0
Let s = 1092603 + -16389001/15. Let -2/15*g**2 - s*g + 0 = 0. What is g?
-22, 0
Let u(l) = l**2 + 2*l - 8. Let v be u(6). Let d = -1561 - -1603. Find g, given that -d*g**4 - v*g**4 + 20*g - 15*g**3 + 77*g**4 = 0.
-2, 0, 1
Suppose 1497*h - 1244*h = 0. Factor 0*o + 0 + 15*o**3 - 3/2*o**4 + h*o**2.
-3*o**3*(o - 10)/2
Let m(d) be the third derivative of d**6/1980 - d**5/220 - 71*d**3/2 - 149*d**2. Let h(p) be the first derivative of m(p). Factor h(r).
2*r*(r - 3)/11
Let u be (-3 + 44/8)*-2. Let p be (-120)/(-28) + 1/1 + u. Factor 0*b + 0*b**2 + 0 + 6/7*b**4 + p*b**5 + 4/7*b**3.
2*b**3*(b + 1)*(b + 2)/7
Let b = 238393/10 - 23839. Let q(v) be the first derivative of 2/5*v**3 - 19 - 3/25*v**5 + 1/10*v**6 - b*v**4 - 3/5*v + 3/10*v**2. Find s, given that q(s) = 0.
-1, 1
Let x(n) be the third derivative of 0*n + 1/12*n**5 + 5/6*n**3 - 5/12*n**4 + 173*n**2 + 0. Factor x(p).
5*(p - 1)**2
Suppose -3*a + 33 = g, 20*g - 11 = 13*a - 14*a. Factor 0*m + 2/9*m**4 - 4/9*m**3 + 2/9*m**5 + g + 0*m**2.
2*m**3*(m - 1)*(m + 2)/9
Suppose 11*d + p = 82 - 53, d - 37 = -5*p. Factor -16/15*k**d - 38/15*k + 2/15*k**3 - 4/3.
2*(k - 10)*(k + 1)**2/15
Let t(z) be the first derivative of -z**4/24 + 133*z**3/18 + 1803. Suppose t(y) = 0. What is y?
0, 133
Factor 156/5 + 11/5*k - 7/5*k**2.
-(k + 4)*(7*k - 39)/5
Suppose 3*f - 1035 = 3*d, 3*f - 4*d = 7*f - 1404. Find n such that n - 350 + 2*n + f - n**2 = 0.
1, 2
Let t(h) = 13*h**2 + 9*h + 9. Let w(r) = -3*r**2 - 2*r - 2. Let i(k) = -2*t(k) - 9*w(k). Let j(l) = 21*l**2 - 12. Let d(c) = -18*i(c) + j(c). Factor d(m).
3*(m - 2)*(m + 2)
What is o in -1629*o**2 - 6*o**3 - 450*o + 7*o**3 + 2078*o**2 = 0?
-450, 0, 1
Let x(z) be the second derivative of -z**8/43680 + z**6/520 - 5*z**4/6 + z**2 + 12*z - 3. Let c(q) be the third derivative of x(q). Suppose c(p) = 0. What is p?
-3, 0, 3
Suppose -5*o - 12*j + 9*j + 27 = 0, -3*o - j + 13 = 0. Factor -7*i + 12*i**o + 4*i**4 - 9*i - 246*i**2 + 246*i**2.
4*i*(i - 1)*(i + 2)**2
Solve -154/3*x**2 - 28/3*x**3 + 2/9*x**4 + 0 - 376/9*x = 0.
-4, -1, 0, 47
Let q(j) be the second derivative of 34*j + 0*j**2 - 2/3*j**4 + 1/10*j**5 - 5/3*j**3 + 0. Factor q(w).
2*w*(w - 5)*(w + 1)
Let a(u) = -u**4 - 3*u**3 - u**2 + u. Let w(g) = 18*g**4 + 40*g**3 + 46*g**2 + 134*g - 162. Let t(k) = -38*a(k) - 2*w(k). Let t(o) = 0. What is o?
-18, -3, 1, 3
Suppose 8*l + 31 = 71. Factor -q**2 + l + 7 - 1 - 2.
-(q - 3)*(q + 3)
Suppose 2012*q - 16 = 2016*q. Let c be (-16)/(-180)*(-10)/q. Factor 8/9*l**2 - c*l**3 - 2/3*l + 0.
-2*l*(l - 3)*(l - 1)/9
What is g in 438048/25 + 2/25*g**2 - 1872/25*g = 0?
468
Let 18/11 - 14/11*w**4 + 28/11*w**3 - 30/11*w + 2/11*w**5 - 4/11*w**2 = 0. What is w?
-1, 1, 3
Let k be 4*(-2)/28 - (-2580)/14. Find a, given that -312*a - 144 + 60*a**2 + 40*a**4 + 6*a**5 - k*a**2 + 24*a**3 + 30*a**3 = 0.
-3, -2, -2/3, 2
Let a(f) = -4*f**3 - 2*f**2 + 4*f - 7. Let q be a(-3). Let -q*u**2 - 10*u**3 + 5*u**4 + 29 - 9 + 20*u + 56*u**2 = 0. Calculate u.
-1, 2
Suppose -7*h + 175 = -0*h. Find k such that -6*k**4 - 5*k**4 + 16*k**4 - 15*k**2 - 11 - h*k + 5*k**3 + 1 = 0.
-1, 2
Let f(q) be the first derivative of 98/3*q**3 + 12*q**2 + 7/3*q**4 + 1/15*q**5 + 3 + 0*q. Let u(l) be the second derivative of f(l). Let u(y) = 0. Calculate y.
-7
Let n = -714235/2 + 357118. Factor o**2 - 1/2*o**4 + 0*o**3 + 0*o - n.
-(o - 1)**2*(o + 1)**2/2
Suppose -546*l = -469*l - 154. Determine b, given that -1/3*b**l - 2 - 7/3*b = 0.
-6, -1
Let y(w) be the first derivative of w**4/30 - 11*w**3/15 + 24*w**2/5 - 2*w + 190. Let l(j) be the first derivative of y(j). Find r, given that l(r) = 0.
3, 8
Let c(q) be the second derivative of q**7/70 - 11*q**6/20 + 121*q**5/20 + 5*q**2 - 17*q + 3. Let p(i) be the first derivative of c(i). Factor p(l).
3*l**2*(l - 11)**2
Suppose 302*f**2 + 212*f**2 + 47*f - f**5 - 30 - 502*f**2 - 46*f**3 + 18*f**4 = 0. What is f?
-1, 1, 2, 15
Let f be (6/(-8))/((-10)/40). Suppose -2*t - t - 3*l + 21 = 0, 11 = t - f*l. Solve -4*s**5 + 3*s - 8*s**2 + 12*s - 11*s + t*s**4 = 0.
-1, 0, 1
Determine i, given that -6*i**2 + 1/2*i**3 + 0 + 0*i + 1/2*i**4 = 0.
-4, 0, 3
Solve -1176*l**2 + 2/3*l**5 + 1016/3*l**3 - 82/3*l**4 + 0 + 864*l = 0 for l.
0, 1, 4, 18
Suppose -2*p = -d - 69, 167 = -4*d + d - 2*p. Let l = -57 - d. Solve 4*s**4 - 18*s**3 - l*s**4 + 22*s**3 = 0 for s.
-2, 0
Let l = 9760 - 9758. Let d(q) be the second derivative of 4*q**l - 8/3*q**3 + 15*q + 5/6*q**4 + 0 - 1/10*q**5. Factor d(o).
-2*(o - 2)**2*(o - 1)
Let f = -152468 + 152488. Solve -256/3 + f*v**2 - 64*v - 4/3*v**3 = 0 for v.
-1, 8
Let l(f) be the third derivative of -f**6/300 - 43*f**5/150 - 7*f**4/10 + 2985*f**2. Suppose l(h) = 0. What is h?
-42, -1, 0
Let 1502*j - 20*j + 2*j**5 + 483*j**4 - 492*j**3 + 220*j**2 + 140 - 597*j**4 - 1238 = 0. Calculate j.
-3, 1, 61
Let j(l) = 2*l**3 - 4*l**2 + 10*l + 4. Suppose 3*n + 15 = 8*n. Let k be (-33)/(-30) + n/(-30). Let h(f) = -f. Let u(v) = k*j(v) + 12*h(v). Factor u(g).
2*(g - 2)*(g - 1)*(g + 1)
Let w = 556276/3 - 185425. Factor -8 - 11/3*j - w*j**2.
-(j + 3)*(j + 8)/3
Let p(k) be the second derivative of -1/180*k**6 + 5*k**2 + 0 + 0*k**4 - 1/30*k**5 - 26*k + 0*k**3. Let j(c) be the first derivative of p(c). Factor j(q).
-2*q**2*(q + 3)/3
Let o(g) be the second derivative of g**4/6 - 4*g**3 + 11*g**2 + 138*g. Factor o(k).
2*(k - 11)*(k - 1)
Suppose -8 = 2*q + 2*f, -61*q - 5*f - 20 = -60*q. Factor -32/5*p + 88/5*p**2 + q - 4*p**3.
-4*p*(p - 4)*(5*p - 2)/5
Let 37*y**4 + 252*y**2 - 13*y**4 + 79*y - 727*y + 34*y**3 - 13*y**4 - 10*y**4 = 0. What is y?
-18, 0, 2
Let x(m) be the second derivative of -m**7/4200 + m**6/1200 + 3*m**5/100 - 29*m**4/3 - 132*m. Let a(l) be the third derivative of x(l). Solve a(u) = 0.
-2, 3
Suppose -8*q + 2*q + 30 = 0. Suppose 5*p - 5*d = q, -5*p - 2 = d - 13. Let 2*y - y**5 + 2*y**5 + 8*y**4 + 12*y**3 + p*y**2 + 6*y**2 + y**5 = 0. Calculate y.
-1, 0
Let s(v) = -54064*v - 919088. Let y be s(-17). Factor y + 0*n + 3/4*n**2 + 1/4*n**3.
n**2*(n + 3)/4
Let z(u) be the third derivative of -44*u**2 - 15/8*u**3 + 0*u + 0 - 7/16*u**4 + 1/80*u**5. Factor z(r).
3*(r - 15)*(r + 1)/4
Let t = -2419/630 + 34/63. Let x = -369/130 - t. Solve x*u**2 + 2/13*u - 2/13*u**3 - 4/13 - 2/13*u**4 = 0 for u.
-2, -1, 1
Find g such that 729 - 2*g**4 - 7*g**3 + g - 724 - 15*g**2 - 6*g**3 = 0.
-5, -1, 1/2
Let z = -67210 - -336052/5. Factor 98/5 + 168/5*d - 24/5*d**3 + 44/5*d**2 + z*d**4.
2*(d - 7)**2*(d + 1)**2/5
Let d = -7 + -8. Let k be ((-100)/15)/(10/d). Factor -k*r**3 - 17*r**4 + 10*r - 29*r**4 + 35*r**2 + 11*r**4.
-5*r*(r - 1)*(r + 1)*(7*r + 2)
Let x = 275797/5 - 55159. Solve -12/5 + x*k + 2/15*k**2 = 0 for k.
-6, 3
Suppose -124 = -3*t + 2*x, -114*x - 56 = -t - 117*x. Suppose -7*c = -t*c. Factor 0 + c*w + 0*w**2 + 1