 + 3443*o. Factor a(r).
-3*r*(r - 834)/7
Let k(a) = -5*a**4 - 15*a**3 - 5*a**2 + 15*a - 10. Let b be (-292)/(-10) - 2/10. Let z = 9 - b. Let v(t) = 1. Let y(u) = z*v(u) - k(u). Factor y(s).
5*(s - 1)*(s + 1)**2*(s + 2)
Let j(l) be the first derivative of 1/16*l**4 - 1/40*l**5 + 0*l**2 - 1/48*l**6 - 55 + 0*l + 0*l**3. Determine h so that j(h) = 0.
-2, 0, 1
Let r(d) be the first derivative of 4/5*d**5 + 0*d + 42 + 3*d**4 + 4*d**3 + 2*d**2. Solve r(x) = 0.
-1, 0
Let n be (-49)/35 + 42/28. Let p(v) be the third derivative of -1/70*v**7 - 1/2*v**3 - n*v**6 + 0*v - 3/10*v**5 + v**2 - 1/2*v**4 + 0. Factor p(i).
-3*(i + 1)**4
Let t be (-39)/130 + 188/235. Factor -3*c**2 - 11/2*c - t*c**3 - 3.
-(c + 1)*(c + 2)*(c + 3)/2
Let d(a) be the second derivative of 0*a**3 + 18*a - 1/150*a**5 + 1/15*a**4 + 3*a**2 + 0. Let c(i) be the first derivative of d(i). Suppose c(s) = 0. What is s?
0, 4
Let t = -438331/5 + 87669. Find u, given that 4/5*u**3 - 2/5*u - 28/5*u**2 + t + 14/5*u**4 - 2/5*u**5 = 0.
-1, 1, 7
Suppose 240 = -0*h + 6*h. Suppose h*t = 22*t + 54. Factor 8/7*z + 4/7*z**4 - 6/7*z**t + 0 - 8/7*z**2 + 2/7*z**5.
2*z*(z - 1)**2*(z + 2)**2/7
Let t(c) be the second derivative of -c**5/150 + c**4/60 - 66*c**2 - 83*c + 1. Let d(a) be the first derivative of t(a). Suppose d(h) = 0. Calculate h.
0, 1
Let n(u) be the third derivative of -u**10/1058400 - 11*u**5/12 + 3*u**2 + 14*u. Let h(f) be the third derivative of n(f). What is q in h(q) = 0?
0
Suppose -3780*w + 98*w**5 - 70*w**4 + 65*w**5 + 61*w**5 + 2700*w**2 - 405*w**3 - 209*w**5 = 0. What is w?
-6, 0, 3, 14/3
Let g(l) = 9*l**3 - 377*l**2 + 5 + 379*l**2 - 3*l**5 - 1. Let t(y) = -5*y**5 - y**4 + 17*y**3 + 3*y**2 + 7. Let i(u) = 7*g(u) - 4*t(u). Factor i(b).
-b**2*(b - 2)*(b - 1)**2
Let m = 5529186/7 + -789876. Factor 3/7*g**3 - 24 + 180/7*g - m*g**2.
3*(g - 14)*(g - 2)**2/7
Let w(t) be the third derivative of 17*t**4/12 - 68*t**3/3 + 161*t**2. Let b be w(4). Factor 1/5*f**2 + b*f + 0.
f**2/5
Let d(b) be the first derivative of -40/3*b**3 + 55/2*b**2 - 5/4*b**4 + 90*b + 79. Solve d(a) = 0.
-9, -1, 2
Let q(d) be the third derivative of d**6/360 - 3*d**5/20 - 17*d**4/36 + 28*d**3/3 + 59*d**2 - d + 2. Determine x, given that q(x) = 0.
-3, 2, 28
Let h(d) be the third derivative of -d**5/20 - 7*d**4/2 - 66*d**3 - 207*d**2 - 6. Determine c so that h(c) = 0.
-22, -6
Let h(q) be the first derivative of q**3 + 444*q**2 - 891*q + 1746. Let h(v) = 0. Calculate v.
-297, 1
Let g be (-1)/(-10) + 2608/(-1630) + (-21)/(-10). Factor -15*v - 6*v**2 + 0 - g*v**3.
-3*v*(v + 5)**2/5
Let -600 - 6/7*v**3 - 108/7*v**2 + 1530/7*v = 0. What is v?
-28, 5
Suppose -4*k - 2*c + 38 = 0, -4*c - c = 3*k - 32. Let w be 2 + -3 + -6 + k. Determine g so that -11/6*g**w - 1/3 + 13/6*g = 0.
2/11, 1
Let c(o) be the third derivative of -o**7/105 - 4*o**6/15 - 21*o**5/10 + 4*o**4/3 + 64*o**3/3 - 2986*o**2. Factor c(m).
-2*(m - 1)*(m + 1)*(m + 8)**2
Let l(x) be the second derivative of x**4/60 + 14*x**3/15 + 15*x**2/2 + 577*x. Let l(o) = 0. Calculate o.
-25, -3
Let x = -113 - -135. Suppose -x*f + 6 = -19*f. Factor 79*k - 69*k**2 + k + 225*k**4 - 220*k**4 + 9*k**f.
5*k*(k - 2)**2*(k + 4)
Factor 1/3*l**3 + 232/3*l**2 + 0 + 13456/3*l.
l*(l + 116)**2/3
Let a(k) be the third derivative of -1/280*k**7 + 0 + 3/8*k**4 + 0*k - 1/80*k**6 - 38*k**2 - 9/2*k**3 + 11/80*k**5. Suppose a(m) = 0. Calculate m.
-3, 2
Suppose r + 5*j = 39, -2*r = 23*j - 20*j - 92. Find y such that 24*y**2 - r*y**3 + 26*y**4 - y**5 - 243880*y + 243880*y = 0.
0, 1, 24
Let i(z) be the second derivative of -5*z**7/189 + z**6/5 + 5*z**5/3 + 58*z**4/27 - 8*z**3/3 + 1594*z. Find a, given that i(a) = 0.
-2, 0, 2/5, 9
Let d(v) be the second derivative of -v**7/4 - 57*v**6/4 - 9771*v**5/40 - 7159*v**4/8 - 684*v**3 + 1083*v**2 - 598*v - 3. Suppose d(r) = 0. Calculate r.
-19, -2, -1, 2/7
Suppose 4*v + 273 = 285. Let l be v - (-4 - -6)/2. What is g in 9 - 12*g + 13/4*g**l - 1/4*g**3 = 0?
1, 6
Suppose -9*l + 3*l = -12. Factor -9*q**l - 12*q + 16*q - 3*q**3 + 23*q + 3*q.
-3*q*(q - 2)*(q + 5)
Let h(b) = -b**2 + 51*b - 536. Let j be h(36). Let n(y) be the second derivative of 5*y - 18*y**2 + 2/3*y**j + 1/10*y**5 + 0 - y**3. Factor n(d).
2*(d - 2)*(d + 3)**2
Let w be (259/(-111))/(21/(-54)). Suppose -2*d + 13*d + 4 - 7*d - w*d + 230*d**2 - 232*d**2 = 0. What is d?
-2, 1
Let w(v) be the first derivative of 6/5*v**5 + 1/4*v**6 + v**3 + 15/8*v**4 + 0*v**2 + 0*v - 8. Factor w(r).
3*r**2*(r + 1)**2*(r + 2)/2
Suppose -4*k + 14*b + 8 = 15*b, 4*b - 10 = -5*k. Determine t so that -5*t**4 - 25*t**3 + 27*t**2 - 32*t**k - 25*t**2 = 0.
-3, -2, 0
Factor 0 + 0*s**2 + 5/6*s**5 + 0*s - 210*s**4 - 1265/6*s**3.
5*s**3*(s - 253)*(s + 1)/6
Let f(h) be the first derivative of 2*h + 36 - 6/5*h**2 + 2/15*h**3. Find j, given that f(j) = 0.
1, 5
Suppose 4*t = t + 24*t. Let j(x) be the third derivative of -1/48*x**4 + 0*x - 1/24*x**3 + t + 4*x**2 - 1/240*x**5. Let j(l) = 0. What is l?
-1
Suppose 3*f + 128 - 157 = -5*k, -3*k - 3 = -5*f. Factor f*r + 1/3*r**2 - 10/3.
(r - 1)*(r + 10)/3
Let g(q) be the second derivative of -q**7/21 + 4*q**6/5 + 3*q**5/5 - 40*q**4/3 + 33*q**3 - 36*q**2 + 584*q. Determine v, given that g(v) = 0.
-3, 1, 12
Let p(k) be the first derivative of -14*k**3/3 - 1472*k**2 - 840*k + 5353. Find m, given that p(m) = 0.
-210, -2/7
Find a such that 148/19 + 18/19*a**2 + 670/19*a = 0.
-37, -2/9
Let l(c) be the first derivative of c**6/33 - 854*c**5/55 + 45795*c**4/22 - 30246*c**3/11 - 4934. Factor l(k).
2*k**2*(k - 213)**2*(k - 1)/11
Suppose 10 - 5 = q. Factor -11*f + 2*f**2 - 2*f + q*f.
2*f*(f - 4)
Let v be ((-13)/6)/((-1)/9). Suppose 0 = -3*o + 2*t + 14, 0 = 2*o - 4*t - 84 + 72. Determine k, given that -v*k**3 - 21/2*k - 6*k**o - 3/2 - 45/2*k**2 = 0.
-1, -1/4
Let y(j) = 4*j**2 + 53*j + 53. Let a be y(-1). Let r be 6/21 + a + 248/(-84). Determine i so that -4/3*i - r - 1/3*i**2 = 0.
-2
Let m = -663 + 662. Let q be m - (-7 - (-48)/9). Factor 0 + 0*y**2 + 1/3*y**5 + 1/3*y + 0*y**4 - q*y**3.
y*(y - 1)**2*(y + 1)**2/3
Let x be -12 + (-1515)/(-55) + -15. Suppose x - 16/11*r - 6/11*r**2 = 0. Calculate r.
-3, 1/3
Find a such that -480*a - 87*a + 67*a + 133*a**2 - 243*a**2 - 496 + 106*a**2 = 0.
-124, -1
Let n be (-2)/9 - 3/((-27)/20). Let l be 35*(-15)/(-450) + n/(-3). Let -5/2*p**4 - 5/2 - 1/2*p**5 - l*p + p**3 + 5*p**2 = 0. What is p?
-5, -1, 1
Let g be -1 + 35/(-63)*3 - 496/(-60). Let k(a) = -a - 1. Let s be k(-4). What is c in -3/5*c**s - 26/5*c**2 - 8/5 + g*c + 9/5*c**4 = 0?
-2, 2/3, 1
Let u(s) = -48*s**2 - 56*s + 22. Let o(p) = -3 - 332*p**2 - 334*p**2 + 8*p + 673*p**2. Let j(h) = -44*o(h) - 6*u(h). Factor j(z).
-4*z*(5*z + 4)
Find w, given that 1/6*w**3 + 10 + 9/2*w**2 - 44/3*w = 0.
-30, 1, 2
Suppose 0 = d + 14 - 33. Find h, given that 25*h**4 + 30*h**3 - d*h**5 + 8*h**5 + 6*h**5 = 0.
-1, 0, 6
Let t be (-6)/(-40)*574/3444. Let c(z) be the third derivative of 0 + 0*z + t*z**5 - 1/120*z**6 + 1/24*z**3 + 1/840*z**7 + 21*z**2 - 1/24*z**4. Factor c(p).
(p - 1)**4/4
Let t = -129059 - -387179/3. Factor 4/9 + t*s + 2/9*s**2.
2*(s + 1)*(s + 2)/9
Let s = 7572 + -7558. Let c(o) be the third derivative of 1/3*o**3 - 1/8*o**4 + s*o**2 + 0 + 0*o + 1/60*o**5. Find d such that c(d) = 0.
1, 2
Let p(o) be the third derivative of -2*o**2 + 0*o**3 - 1/36*o**4 + 0*o + 7/360*o**6 - 1/36*o**5 - 13. Solve p(i) = 0 for i.
-2/7, 0, 1
Let b(y) be the third derivative of y**6/54 - 62*y**5/135 + 34*y**4/9 - 16*y**3/3 + 2*y**2 - 518*y. Solve b(t) = 0 for t.
2/5, 6
Let a(j) be the first derivative of 2*j**3/3 - j**2 - 822. Factor a(c).
2*c*(c - 1)
Let i(h) be the third derivative of 0*h**3 + 0*h + 1/126*h**7 + 0 - 94*h**2 + 17/360*h**6 + 1/18*h**4 + 4/45*h**5. Factor i(n).
n*(n + 1)*(n + 2)*(5*n + 2)/3
Let q(k) = -k**3 + 47*k**2 - k + 41. Let w be q(47). Let v be 12/(-216)*21*w/28. Factor 1/4*o**2 + v*o - 1/2.
(o - 1)*(o + 2)/4
Factor 129*z**2 + 2397*z + 116*z**2 + 3084 - 149*z**2 + z**3 + 1334.
(z + 2)*(z + 47)**2
Let u(n) be the third derivative of 8*n**2 + 0*n + 0 + 11/42*n**4 - 1/105*n**5 - 20/7*n**3. Factor u(t).
-4*(t - 6)*(t - 5)/7
Let q be (-6)/9*-30 + (-6)/(108/(-126)). Let w(c) be the first derivative of 6/5*c**2 + 18/5*c + 2/15*c**3 - q. Factor w(r).
2*(r + 3)**2/5
Let m(y) be the first derivative of y**5/30 - 5*y**4/8 + 65*y**3/18 - 3