 z(k) = 0.
-2, 1, 42
Let v(o) be the first derivative of o**3/3 + 5*o**2 + 21*o + 115. Let r be v(-8). Factor -4/9*t**3 - 4/9*t**4 + 4/9*t**2 + 0 + 4/9*t**r + 0*t.
4*t**2*(t - 1)**2*(t + 1)/9
Let o = 118098 + -118092. Let 69/4*h + 3/4*h**5 + 9/2 + 51/2*h**2 + 18*h**3 + o*h**4 = 0. Calculate h.
-3, -2, -1
Let v be 3 + -7 + 28 - 2. Factor v*z**5 - 119*z**3 + 27*z**5 - 45*z**5 - 92*z**4 + 691*z**3 - 484*z**2.
4*z**2*(z - 11)**2*(z - 1)
Suppose -2*s + 5*k = -0*s + 3, 4*s - k - 21 = 0. Let v(m) = -m**3 - 5*m**2 - m + 2. Let a be v(-5). Factor -a*p**2 - 16*p - 4 - s + 6.
-(p + 2)*(7*p + 2)
Let a(u) be the second derivative of -u**4/36 + 235*u**3/6 + 707*u**2/3 + 9230*u. Let a(q) = 0. What is q?
-2, 707
Let v(f) be the first derivative of f**6/1980 + 4*f**5/55 + 48*f**4/11 + f**3/3 - 128*f + 220. Let t(n) be the third derivative of v(n). Factor t(k).
2*(k + 24)**2/11
Let d = -4805 - -4805. Let j(q) be the second derivative of 5/6*q**4 - 4*q + d*q**2 - 5/6*q**3 - 1/3*q**6 + 5/42*q**7 + 0*q**5 + 0. Factor j(n).
5*n*(n - 1)**3*(n + 1)
Let a(t) be the first derivative of 1/7*t - 1/21*t**3 + 0*t**2 + 96. Suppose a(h) = 0. Calculate h.
-1, 1
Factor 526/3*u**2 + 28*u**3 - 247808/3 - 2/3*u**4 - 9856*u.
-2*(u - 32)**2*(u + 11)**2/3
Let m be 2 - 6/2 - -5. Solve 209*h + 8*h**2 - 209*h - 4*h**m - 4 = 0 for h.
-1, 1
Let r = 662605 + -662605. Solve -4/5*f + r + 2/5*f**3 - 2/5*f**2 = 0.
-1, 0, 2
Solve 297*l**2 + 0*l**4 - 157*l**2 - 48*l**3 + 4*l**4 = 0.
0, 5, 7
Let t be (20/80)/(-3*2/(-48)). Factor 2016 + 1607*r**t + 250*r + 1109 - 1602*r**2.
5*(r + 25)**2
Suppose -18*s = -5*k - 15*s, 5*k - s = -10. Let t(v) = 2*v**2 - 793*v + 31196. Let a(n) = 5*n**2 - 2380*n + 93585. Let f(p) = k*a(p) + 10*t(p). Factor f(i).
5*(i - 79)**2
Let k(o) be the first derivative of o**8/560 - 11*o**6/60 + 3*o**5/5 + 45*o**4/8 + 77*o**3/3 + 140. Let a(s) be the third derivative of k(s). Factor a(h).
3*(h - 3)**2*(h + 1)*(h + 5)
Let v be 7/((-70)/(-110)) + -8. Let h(x) be the third derivative of -1/24*x**4 + 0*x - 5/36*x**v + 0 - 1/360*x**5 - 10*x**2. Factor h(a).
-(a + 1)*(a + 5)/6
Suppose x = -5*g - 1, 110*g - 14*x = 115*g + 209. Solve g*p**2 + 4 - 6*p - 1/2*p**3 = 0.
2
Let r = -6297 - -6299. Let x(d) be the second derivative of 0 - 1/66*d**4 - 1/110*d**5 + 19*d + 5/33*d**3 - 3/11*d**r. Factor x(t).
-2*(t - 1)**2*(t + 3)/11
Let m(c) = -c**3 - 3*c**2 + 12*c + 10. Let r be m(-5). Suppose 6*o - 4*o = 2*q - 20, r = -3*q + 5*o + 40. Solve 12*s - 8*s**2 + 7*s**2 + q*s**2 + 0*s**2 = 0.
-3, 0
Suppose 5*k + 7 - 27 = 0. Factor 5*b**k - 93*b**5 - b**4 + 89*b**5.
-4*b**4*(b - 1)
Let s(o) be the third derivative of o**6/40 - o**5/5 - 7*o**4/8 + 5*o**3 + 210*o**2 + 6. Find b, given that s(b) = 0.
-2, 1, 5
Let b(p) = 93*p**3 - 25185*p**2 + 70560000*p - 65856000015. Let l(v) = 6*v**3 + v**2 - 1. Let z(k) = -b(k) + 15*l(k). What is u in z(u) = 0?
2800
Solve -5808/5 + 1836/5*d**2 - 141/5*d**3 - 3828/5*d + 3/5*d**4 = 0.
-1, 4, 22
Let z(f) be the third derivative of -f**6/1620 - 4*f**5/135 - 7*f**4/27 - 13*f**3/6 + 110*f**2. Let d(u) be the first derivative of z(u). Factor d(o).
-2*(o + 2)*(o + 14)/9
Suppose -4*t + k = 133 - 869, -386 = -2*t - 4*k. Let m be t/(-148)*8/(-30). Determine q so that 0 + 1/6*q**3 - m*q**2 + 0*q = 0.
0, 2
What is t in -325/4*t + 3/4*t**2 - 222 = 0?
-8/3, 111
Let o(n) be the first derivative of -n**3/12 + 515*n**2/8 - 513*n/2 - 6449. Factor o(y).
-(y - 513)*(y - 2)/4
Let b(f) be the first derivative of -75*f**5/4 + 675*f**4/4 - 255*f**3/2 - 6069*f**2/2 + 44217*f/4 + 1572. Factor b(a).
-3*(a + 3)*(5*a - 17)**3/4
Let h(b) be the third derivative of 2*b**7/525 + 91*b**6/75 + 36*b**5/5 + 269*b**4/15 + 358*b**3/15 - 312*b**2. Factor h(p).
4*(p + 1)**3*(p + 179)/5
What is d in 67*d + 19*d**3 + 5/4*d**4 + 255/4*d**2 + 11 = 0?
-11, -2, -1/5
Factor -82440 - 82439 + 164879 + 4*h**2 - 456*h.
4*h*(h - 114)
Let z(i) = -45*i**2 - 39*i - 1377. Let q(r) = 16*r**2 + 3*r. Let t(x) = 3*q(x) + z(x). Factor t(h).
3*(h - 27)*(h + 17)
Let p = 34 - 10. Suppose 60 = 5*y - l, 4*y + 3*l = -l + p. Factor -5 + 29*x + y*x + 50*x**2 + 8 + 5.
2*(5*x + 2)**2
Suppose 5579 - 1503 + 4154*x - 74*x + 4*x**2 = 0. Calculate x.
-1019, -1
Let o(y) be the second derivative of -y**6/1140 + y**4/76 + 2*y**3/57 - 18*y**2 + 2*y - 3. Let w(r) be the first derivative of o(r). Factor w(b).
-2*(b - 2)*(b + 1)**2/19
Let p(m) = 3*m**3 + m**2 + 2*m - 1. Let f(s) = 4*s**3 + s**2 + s. Let q be (-4)/12 + 190/30. Let d(j) = q*p(j) - 5*f(j). Factor d(r).
-(r - 1)*(r + 2)*(2*r - 3)
Let p(i) be the second derivative of 2*i**7 + 293*i**6/10 - 153*i**5/20 - 859*i**4/2 + 454*i**3 - 180*i**2 - 32*i + 2. Find w such that p(w) = 0.
-10, -3, 1/4, 2/7, 2
Factor 28/3*t**3 - 1/3*t**4 + t**2 - 56/3 - 82/3*t.
-(t - 28)*(t - 2)*(t + 1)**2/3
Let g = 55 - 53. Suppose g*f - 12 = -4*v + 8, 0 = -v + 2*f. Suppose -8*s**v + 7*s**4 + 3*s**3 + s**3 - s**4 = 0. Calculate s.
0, 2
Suppose -11*y = -15*y + 64. Suppose b + y = 9*b. Find a, given that -2 - 2*a**2 - 3 - a**2 - 2*a**b + 10*a = 0.
1
Factor -21/2*z + 27/2 - 7/2*z**2 + 1/2*z**3.
(z - 9)*(z - 1)*(z + 3)/2
Let p be 101834/70 + (-28)/(-35). Let a = p + -1455. What is l in 30/7*l + 36/7*l**4 + 30/7*l**3 - 68/7*l**2 - a = 0?
-2, 1/3, 1/2
Let a(b) be the third derivative of 23*b**6/60 + 629*b**5/120 + 39*b**4/4 + 3*b**3 + 13523*b**2. Factor a(o).
(o + 6)*(4*o + 3)*(23*o + 2)/2
Factor -7/3*o**4 - 2/3*o**3 - 2/3*o + 8/3*o**2 + 4/3*o**5 - 1/3.
(o - 1)**3*(o + 1)*(4*o + 1)/3
Let k(r) be the first derivative of 0*r**2 + 0*r - 30 + 1/18*r**6 - 2/9*r**3 + 2/15*r**5 - 1/12*r**4. Factor k(l).
l**2*(l - 1)*(l + 1)*(l + 2)/3
Let g(i) be the second derivative of 9/5*i**5 + 2/15*i**6 + 22/3*i**4 + 0 - 64*i**2 + 49*i + 0*i**3. Solve g(k) = 0.
-4, -2, 1
Let b(m) be the third derivative of 0*m + 5/8*m**4 + 1/21*m**7 - 1/6*m**6 + 95*m**2 + 0*m**3 - 1/6*m**5 + 5/336*m**8 + 0. Find d such that b(d) = 0.
-3, -1, 0, 1
Let k(c) be the first derivative of -5*c**4/4 - 11*c**3/6 - 5702. Factor k(m).
-m**2*(10*m + 11)/2
Let i(r) = -r**3 + r + 2. Let f(t) = -9*t**3 + 43*t**2 - 8*t + 12. Let v(j) = 5*f(j) - 30*i(j). Factor v(k).
-5*k*(k - 14)*(3*k - 1)
Let y be ((-3)/84*2)/((-18)/189). Let y*p + 5/4*p**3 - 4*p**2 + 0 = 0. Calculate p.
0, 1/5, 3
Let a(h) be the first derivative of 272 - 2*h**2 - 1/15*h**5 - 13/3*h + 14/9*h**3 + h**4. Suppose a(i) = 0. Calculate i.
-1, 1, 13
Let y(h) be the second derivative of 3*h**5/160 + 665*h**4/32 + 7562*h. Factor y(t).
3*t**2*(t + 665)/8
Factor -18*h - 6488*h**4 + 31*h**2 + 2*h**2 + 6485*h**4 - 12*h**3.
-3*h*(h - 1)**2*(h + 6)
Let c(i) be the second derivative of -i**4/4 - 256*i**3 - 98304*i**2 + 257*i + 5. Factor c(k).
-3*(k + 256)**2
Suppose -5*s + 35 - 10 = 0. Suppose 0 = 4*t + c - 1, 2*t + 4 + 1 = s*c. Factor 12/7*v - 2/7*v**2 + t.
-2*v*(v - 6)/7
Let t(j) be the first derivative of 2*j**3/27 - 65*j**2/9 - 44*j/3 - 2750. Determine d, given that t(d) = 0.
-1, 66
Suppose -5*l = -10 - 5. Suppose 4*k = d + 32, -d - 1 - l = 0. Factor 10*g - k*g + 24*g**3 + 48*g**2 + 3*g + 4*g**4 + 26*g.
4*g*(g + 2)**3
Let t(z) be the second derivative of -z**5/150 - 23*z**4/30 - 529*z**3/15 + 3*z**2 - 62*z. Let o(b) be the first derivative of t(b). Factor o(k).
-2*(k + 23)**2/5
Suppose 0 = 2*d + a - 1539, 5*d + 3831 = 10*d - 3*a. Factor 92*v**2 + 12*v**2 - 6*v**3 + 6*v**3 + 4*v**3 + d*v + 1152.
4*(v + 2)*(v + 12)**2
Suppose -16 = -4340*s + 4332*s. What is t in 1/6*t**s + 0 - 1/6*t = 0?
0, 1
Let k(n) = -n**3 - 5*n**2 + 13*n - 4. Let y(b) = 64*b + 0*b**3 - 24*b**2 + 3*b**3 - 9*b**3 - 12 - 8. Let f(r) = 14*k(r) - 3*y(r). Factor f(i).
2*(i - 1)*(i + 2)*(2*i - 1)
Factor 64*m**3 - 2 - 388*m**5 + 390*m**5 + 2 + 20*m**4 + 64*m**2.
2*m**2*(m + 2)*(m + 4)**2
What is z in -3/4 + 5/8*z**2 - 5/8*z**3 + 1/8*z**4 + 5/8*z = 0?
-1, 1, 2, 3
Let o(w) be the first derivative of -w**5/5 + 21*w**4/4 + w**3 - 61*w**2/2 - 42*w + 733. What is l in o(l) = 0?
-1, 2, 21
Let i(z) be the second derivative of -11/102*z**4 - 8 + 0*z**2 + 2/17*z**3 + 2*z + 2/85*z**5 + 1/255*z**6. Factor i(u).
2*u*(u - 1)**2*(u + 6)/17
Let j(n) be the third derivative of 7*n**8/192 + 5*n**7/24 - 575*n**6/48 - 125*n**5/24 + 203125*n**4/96 - 528125*n**3/24 - 798*n**2. Factor j(k).
(k - 5)**3*(7*k + 65)**2/4
Let n(i) = -123*i**3 - 100*i**2 + 119*i + 100. Let y(k) = -2*k*