-100))/(-29))/(20/96). Factor 10/3*w**3 - 28*w - x*w**2 - 16/3.
2*(w - 4)*(w + 2)*(5*w + 1)/3
Let m(s) be the second derivative of -1 - 375/4*s**2 + 175/6*s**3 - 23*s - 5*s**4 + 9/20*s**5 - 1/60*s**6. Factor m(r).
-(r - 5)**3*(r - 3)/2
Solve 137 + 177 + 159*c**2 - 152*c**2 - 82*c - 1019*c = 0.
2/7, 157
Let d(w) be the second derivative of -w**6/75 + 2*w**5/25 - w**4/30 - 2*w**3/5 - w + 750. Factor d(o).
-2*o*(o - 3)*(o - 2)*(o + 1)/5
Factor 27*m**2 - 588 + 943 + 3*m**2 - 607 - 1886*m.
2*(m - 63)*(15*m + 2)
Let y(r) be the second derivative of r**7/84 - r**6/15 - 7*r**5/40 + 17*r**4/12 - 2*r**3 - 1383*r. Let y(g) = 0. Calculate g.
-3, 0, 1, 2, 4
Let d(a) be the first derivative of a**6/8 + 18*a**5/5 - 165*a**4/16 - 37*a**3/2 + 81*a**2/2 + 78*a + 1833. Suppose d(x) = 0. Calculate x.
-26, -1, 2
Let q = -2791650/11 + 253800. Factor 6*l**2 + 210/11*l + q + 6/11*l**3.
6*(l + 1)*(l + 5)**2/11
Let b(z) = 21*z**4 + 18*z**3 + 120*z**2 - 33*z - 81. Let o(s) = -11*s**4 - 8*s**3 - 61*s**2 + 16*s + 40. Let h(p) = -8*b(p) - 15*o(p). Factor h(w).
-3*(w - 1)*(w + 1)*(w + 4)**2
Let r(f) be the second derivative of -f**5/30 - 239*f**4/9 + 1441*f**3/9 - 962*f**2/3 + 1381*f. Solve r(h) = 0.
-481, 1, 2
Let m(z) be the third derivative of -1/12*z**6 + 14 + 1/105*z**7 - z**2 + 1/10*z**5 + 3/4*z**4 + 0*z + 0*z**3. Factor m(h).
2*h*(h - 3)**2*(h + 1)
Suppose 0 = 5*t - 4*h + 54, 4*t - 5*h - 45052 = -45124. Suppose -4*d + 15 = d. Determine z, given that -4/7*z + 10/7*z**t + 2/7*z**4 - 8/7*z**d + 0 = 0.
0, 1, 2
Let g(k) = k**2 - k + 3. Let n be 0*1/(8/4 + -3). Let j be g(n). Solve 12 - 10*c**2 - 2 - 3*c**j + 8*c**3 + 20*c - 25*c = 0.
-1, 1, 2
Let b(j) be the first derivative of -j**4/16 - j**3/12 + 11*j**2/2 + 21*j + 1824. Let b(y) = 0. What is y?
-6, -2, 7
Let l be 135 + -144 - (-414)/45. Find z such that 9/5 + l*z**2 - 6/5*z = 0.
3
Factor 23/4*g**2 + 0 - 4*g + 3/8*g**3.
g*(g + 16)*(3*g - 2)/8
Let g(l) = l**2 - 100. Let n be g(-10). Let w be -2 + -1 + n - (-598)/78. What is k in 4/3*k - 4/3*k**3 - w*k**2 + 0 + 14/3*k**4 = 0?
-1, 0, 2/7, 1
Let c(p) be the second derivative of -p**7/21 + 101*p**6/3 - 63503*p**5/10 - 64009*p**4/6 + 2880*p. Let c(f) = 0. Calculate f.
-1, 0, 253
Suppose 868 = 7*k + 4319. Let t be 8/6 + k/435. Factor 2/5*q**2 + 1/5*q**5 - 2/5*q**3 + t*q - 1/5*q**4 - 1/5.
(q - 1)**3*(q + 1)**2/5
Let h(l) be the second derivative of 5*l**8/336 + 2*l**7/21 + l**6/8 - 35*l**2 - 135*l. Let w(p) be the first derivative of h(p). Suppose w(r) = 0. What is r?
-3, -1, 0
Let c(z) be the third derivative of -z**5/15 - 125*z**4/3 + 502*z**3/3 + 1382*z**2. Factor c(a).
-4*(a - 1)*(a + 251)
Let d be (2/8)/((-126)/(-24) + -5). Suppose 3*t + 4*f = d, 3*f + 2 = 2*t + 5*f. Factor -t*y**3 - 11*y + 14*y - 12*y - 12*y**2.
-3*y*(y + 1)*(y + 3)
Let s(x) be the first derivative of 3*x**4/4 - 38*x**3 + 111*x**2/2 - 2850. Solve s(y) = 0 for y.
0, 1, 37
Let g(o) be the first derivative of 0*o + 27/16*o**2 + 80 + o**3 - 3/32*o**4. Factor g(c).
-3*c*(c - 9)*(c + 1)/8
Determine x, given that 38*x**5 - 53267*x**2 + 53855*x**2 + 134*x**3 - 40*x**5 + 720*x = 0.
-4, -3, 0, 10
Suppose -6*j - a - 815 = -836, 4*a = -12. Let u(k) be the third derivative of -1/180*k**6 + 0*k**5 - 8*k**2 + 0*k**3 + 1/36*k**j + 0*k + 0. Factor u(v).
-2*v*(v - 1)*(v + 1)/3
Let -21/5*l - 20 + 1/5*l**2 = 0. What is l?
-4, 25
Let f be 2/(-6) + 134000/(-84). Let k = f - -1599. Factor 76/7*q - k + 4*q**2.
4*(q + 3)*(7*q - 2)/7
Let x = 243605/24 + -10150. Let i(r) be the third derivative of 0*r**5 - x*r**4 + 0*r**3 - 8*r**2 + 1/24*r**6 + 0 + 0*r. Solve i(u) = 0 for u.
-1, 0, 1
Let h(g) be the second derivative of g**5/110 + 59*g**4/66 - 184*g**3/33 + 124*g**2/11 - 2518*g. Factor h(m).
2*(m - 2)*(m - 1)*(m + 62)/11
Factor -1131*f**2 - 1130*f**2 + 3390*f**2 - 540 - 1132*f**2 - 108*f.
-3*(f + 6)*(f + 30)
Let b be (-15)/(-7) - (-144)/168. Let p(l) be the second derivative of -1/54*l**4 + 0 + 4/9*l**2 + 1/9*l**b + 19*l. Let p(s) = 0. What is s?
-1, 4
Let p(y) be the third derivative of y**8/1680 + 4*y**7/525 - 7*y**6/600 - 43*y**5/150 + 13*y**4/10 - 12*y**3/5 - 14*y**2 - 91. Suppose p(l) = 0. Calculate l.
-6, 1, 2
Let v(x) be the first derivative of -4/69*x**3 + 0*x + 0*x**4 + 1/23*x**2 + 4/115*x**5 - 10 - 1/69*x**6. Suppose v(s) = 0. Calculate s.
-1, 0, 1
Let v(p) be the first derivative of 212 - 11/9*p**3 - 1/12*p**4 + 0*p - 14/3*p**2. Factor v(y).
-y*(y + 4)*(y + 7)/3
Let a(i) be the first derivative of -i**3/7 + 1149*i**2/7 - 440067*i/7 - 1296. Factor a(k).
-3*(k - 383)**2/7
Let m(v) be the first derivative of -3*v**4/4 - 19*v**3 - 165*v**2/2 + 1089*v + 1137. Factor m(k).
-3*(k - 3)*(k + 11)**2
Let q(z) be the first derivative of z**3 + 264*z**2 + 23232*z + 1304. Factor q(y).
3*(y + 88)**2
Let k(b) be the first derivative of 28*b**3/3 + 1830*b**2 - 1048*b + 13. Determine c so that k(c) = 0.
-131, 2/7
Let g(a) = 11*a**2 + 125*a + 618. Let k(w) = 19*w**2 + 247*w + 1238. Let i(m) = -5*g(m) + 3*k(m). Factor i(x).
2*(x + 6)*(x + 52)
Let n(q) be the second derivative of 3/20*q**5 + 0 - q**3 - 5/8*q**4 - 5/2*q**2 + 8*q. Let x(r) be the first derivative of n(r). Suppose x(h) = 0. What is h?
-1/3, 2
Let s(r) be the first derivative of 1/20*r**5 + 1/12*r**4 - 1/6*r**3 + 3 + 11*r - 1/2*r**2. Let x(g) be the first derivative of s(g). Factor x(q).
(q - 1)*(q + 1)**2
Let p(n) be the first derivative of -5*n**3/3 + 25*n**2 - 120*n + 1229. Solve p(g) = 0.
4, 6
Let m be (-851)/(-1) + (-16)/((-64)/(-8)). Let u = -4243/5 + m. Factor -6/5*i + u*i**4 + 2/5*i**2 + 6/5*i**3 - 4/5.
2*(i - 1)*(i + 1)**2*(i + 2)/5
Let o be -5*-3*(-3 - (-56)/20). Let d(g) = 10*g**2 + 30*g. Let n be d(o). Factor -5/3*y**2 + n + y + 1/3*y**4 + 1/3*y**3.
y*(y - 1)**2*(y + 3)/3
Let k(s) be the first derivative of s**6/2160 - s**5/90 + s**4/12 - 11*s**3/3 - 63. Let a(w) be the third derivative of k(w). Factor a(z).
(z - 6)*(z - 2)/6
Let u(z) be the first derivative of -5*z**4/12 + 13655*z**3/9 - 3109925*z**2/2 + 3105375*z - 3515. Suppose u(o) = 0. What is o?
1, 1365
Suppose i - 4*j - 77 = 0, 2 = -3*j + 5. Let v = i + -77. Suppose 8*f - 5*f**3 + 2*f**3 - 5*f**v + 4*f**2 + 4*f**4 + f**3 = 0. Calculate f.
-2, 0, 2
Let j(r) be the second derivative of r**5/30 + r**4/6 - 34*r**3/9 + 16*r**2 + 46*r + 2. Suppose j(x) = 0. Calculate x.
-8, 2, 3
Let q = -367 + 385. Let t be 2/(-10)*(-20)/q. Factor t*n**2 + 2/9*n - 4/9.
2*(n - 1)*(n + 2)/9
Suppose -2*n - 5*t = n + 1081, 4 = -2*t. Let f be (-4)/(-24) - n/18. Find h such that 5*h**2 + 5*h**3 + f*h - h**2 + 16*h**2 = 0.
-2, 0
Let g = -10117 + 829579/82. Let m = -2/123 - g. Solve m - 1/3*h**3 - 1/6*h**4 + 0*h**2 + 1/3*h = 0.
-1, 1
Let a(w) be the first derivative of w**5/4 + 5*w**4/4 - 25*w**3/3 - 75*w - 114. Let o(m) be the first derivative of a(m). What is y in o(y) = 0?
-5, 0, 2
Let b(y) be the second derivative of 0*y**2 - 3*y + 5/18*y**4 - 1/45*y**6 + 0 + 1/3*y**3 + 1/30*y**5. Factor b(s).
-2*s*(s - 3)*(s + 1)**2/3
Let p(c) be the second derivative of -8*c**4/9 + 35*c**3/6 - 9*c**2/2 - 858*c + 2. Determine a, given that p(a) = 0.
9/32, 3
Let l be (474/(-21))/((-1408)/448) - 7. What is z in 8/11 - 8/11*z + 4/11*z**3 - 6/11*z**2 + l*z**4 = 0?
-2, 1
Let n(y) = -8*y**2 - 577*y - 175. Let z(q) = 7*q**2 + 577*q + 150. Let u(b) = -6*n(b) - 7*z(b). Factor u(a).
-a*(a + 577)
Suppose -7 - 7 = -7*u. Factor 116*d**u - 18*d - 119*d**2 + 24*d.
-3*d*(d - 2)
Let j = 54 - 60. Let n = j + 8. Factor -106*c**3 + 10 + 25*c**4 + 30 + 250*c**n - 180*c - 29*c**3.
5*(c - 2)**2*(c - 1)*(5*c - 2)
Let s(g) = 29*g + 216. Let l be s(-8). Let y be (3/2)/((-8)/l). Let 2/9*i**4 + 64/9*i + 16/9*i**y + 16/3*i**2 + 32/9 = 0. What is i?
-2
Let g(n) = 25*n**2 + n + 2. Let c(d) = 147*d**2 - 14466*d - 17453220. Let a(q) = -c(q) + 6*g(q). What is h in a(h) = 0?
-2412
Let m(b) be the second derivative of 2*b**6/195 - 23*b**5/130 + 40*b**4/39 - 25*b**3/13 + 56*b + 4. Factor m(x).
2*x*(x - 5)**2*(2*x - 3)/13
Let p be 18/((1080/(-16))/(-9)). Let u be (-1)/17 + 7473/4505. Let -u*z - p + 4/5*z**2 = 0. Calculate z.
-1, 3
Let c(r) be the first derivative of -r**8/2016 + r**6/720 + 67*r**2 + 47. Let k(q) be the second derivative of c(q). Factor k(t).
-t**3*(t - 1)*(t + 1)/6
Suppose -o**4 - 1064*o - 943 + 2166 - 3*o**4 - 704 - 692*o**2 - 112*o**3 - 999 = 0. What is o?
-20, -6, 