h(t). Solve w(q) = 0.
-1/4, 1, 2
Let i(h) be the third derivative of h**8/16800 - h**7/2100 + h**6/600 - h**5/300 + 5*h**4/8 - 10*h**2. Let b(r) be the second derivative of i(r). Factor b(t).
2*(t - 1)**3/5
Let w be (-35)/(-28)*((-26)/(-117))/(2/12). Solve 135 + 30*m + w*m**2 = 0 for m.
-9
Let k(r) = 54*r + 4163. Let d be k(-77). What is t in d*t**2 - 5/2*t + 0 - 5/2*t**3 = 0?
0, 1
Let x be (-736)/(-9108) + (-4)/(-11). Let x + 2*d - 4/9*d**2 - 2*d**3 = 0. Calculate d.
-1, -2/9, 1
Suppose 25 = 5*g - 4*g - 5*p, 0 = g + p - 1. Let l be (-2 - 3)*(-3)/g. Factor -y - 5*y + l*y - y + 4*y**3.
4*y*(y - 1)*(y + 1)
Let a = 140 + -137. Let h(y) be the second derivative of 2/9*y**2 - 8*y - 1/54*y**4 + 1/27*y**a + 0. Find x, given that h(x) = 0.
-1, 2
Let p(m) be the third derivative of -m**8/2184 - m**7/105 - 7*m**6/260 + m**5/30 + 11*m**4/78 + 19*m**2 + 4*m. Let p(l) = 0. What is l?
-11, -2, -1, 0, 1
Let g(h) = 0 + 5*h**2 + 1 + 0 - h**3 - 4 + 7*h. Let a be g(6). Factor 4*v**4 - 4*v**2 - 16*v**5 + 9*v**5 + 4*v**a + 3*v**5.
-4*v**2*(v - 1)**2*(v + 1)
Let p(u) be the second derivative of -u**6/15 + u**4/2 - 2*u**3/3 - 380*u. Let p(y) = 0. What is y?
-2, 0, 1
Let q = 1335 - 1329. Let n(y) be the second derivative of -1/60*y**q + 0*y**3 + 0*y**2 + 0*y**4 + 0 + 0*y**5 - 9*y. Suppose n(z) = 0. What is z?
0
Find c such that 4*c**3 - 24*c**2 + 16*c - 12*c**5 - 8*c**5 + 29*c**5 - 11*c**5 + 6*c**4 = 0.
-2, 0, 1, 2
Let x be (-18)/(-12)*4/54. Let r(q) be the third derivative of 1/90*q**5 + 0*q - 1/18*q**4 - q**2 + x*q**3 + 0. Let r(n) = 0. What is n?
1
Suppose z + 7*l + 10 = 4*l, 5*z + l - 20 = 0. Suppose 0*p = 3*p - 3*b, 8 = z*p - b. Factor 14*j**p - 22*j**3 + 80/11*j + 8/11.
-2*(j - 1)*(11*j + 2)**2/11
Let d(s) be the first derivative of -s**5 + 5*s**4/2 + 35*s**3/3 - 20*s**2 - 60*s - 125. Let d(g) = 0. Calculate g.
-2, -1, 2, 3
Let x = -34916/15 + 2331. Let p(c) be the first derivative of -4/5*c**2 - 1 + 8/3*c**3 - 28/5*c**5 - x*c**6 + 0*c + 3/10*c**4. Factor p(w).
-2*w*(w + 1)**2*(7*w - 2)**2/5
Let f = -4210 - -4215. Factor -1/10*s**f - 1/10*s**3 + 1/5*s**4 + 0*s**2 + 0*s + 0.
-s**3*(s - 1)**2/10
Let q = -80 - -90. Suppose 5*x + 3*l = -l - 2, -q = x + 4*l. Suppose -1/4*y**3 + 1/4*y + 0 + 0*y**x = 0. Calculate y.
-1, 0, 1
Let k(f) be the second derivative of f**8/1120 - f**7/280 + f**5/40 - f**4/16 + 4*f**3/3 - 9*f. Let s(y) be the second derivative of k(y). Factor s(w).
3*(w - 1)**3*(w + 1)/2
Find o, given that -21*o**3 + 0*o**2 + 4*o**4 - 30*o - 34*o + 63*o**3 - 16*o**2 - 26*o**3 = 0.
-4, -2, 0, 2
Let w(k) be the third derivative of k**7/189 + 11*k**6/180 - 7*k**5/135 - 47*k**2. Factor w(i).
2*i**2*(i + 7)*(5*i - 2)/9
Let l(o) be the second derivative of o**6/195 + o**5/130 - o**4/6 - 25*o**3/39 - 12*o**2/13 + 226*o. Suppose l(i) = 0. Calculate i.
-3, -1, 4
Suppose -z = -4*p - 20, -p = -z + 2*z. Let w be (-340)/(-520) - (-1)/p*2. Suppose -w*r**2 - 8/13 - 8/13*r = 0. What is r?
-2
Solve -22690 + 121*j**2 - 122*j**2 + 282*j + 2809 = 0 for j.
141
Let a(g) be the second derivative of g**6/360 + g**5/45 + g**4/24 + 6*g**2 - 18*g. Let n(u) be the first derivative of a(u). Factor n(m).
m*(m + 1)*(m + 3)/3
Let l be 15/6 - (-3)/6. Suppose f + l*r = 5*f - 10, 4 = 2*f - 2*r. Find o, given that 2*o**3 + f + 6*o + 8*o**2 + 2*o + 2*o = 0.
-2, -1
Let h(w) be the first derivative of 1/2*w**4 + 14 + 0*w + 1/5*w**5 + 0*w**2 + 0*w**3. Suppose h(o) = 0. What is o?
-2, 0
Let s(y) = -8*y**3 - 8*y**2 - 4*y - 4. Let f(l) = l**2 + l. Let b(m) = -12*f(m) - s(m). Factor b(v).
4*(v - 1)*(v + 1)*(2*v - 1)
Suppose -5*o + 594*u = 590*u - 14, 0 = o + 4*u + 2. Factor -4/5*a + 2/5*a**o + 2/5.
2*(a - 1)**2/5
Let -19/3*p + 20/3*p**2 + 1/3*p**5 - 2/3*p**4 + 2 - 2*p**3 = 0. Calculate p.
-3, 1, 2
Suppose 0 = -7*i + 5*i + 12. Suppose o - 1 = z - 3, -4*o + i = 3*z. Determine t so that t**2 - 12 - 6*t**z + 50*t - 113 = 0.
5
Let -54*h**3 + 57*h**3 + 172*h + 0 + 5*h**3 + 356*h**2 - 176 = 0. What is h?
-44, -1, 1/2
Let o(m) be the first derivative of 2*m**3/15 + 4*m**2/5 + 6*m/5 - 584. Factor o(b).
2*(b + 1)*(b + 3)/5
Let n be (-1)/((-1)/5 + 0). Let k(y) = -y**3 - 13*y**2 - 5*y - 848. Let v be k(-16). Suppose 0*t**3 + 4/3*t**n + 0*t + 0 + v*t**2 + 8/3*t**4 = 0. Calculate t.
-2, 0
Let -4/9 + 496/9*o**2 + 242/9*o + 250/9*o**3 = 0. Calculate o.
-1, 2/125
Let p be (-8)/(-28) + 57/21. Factor f + p*f**2 - 10*f + 243 - 237.
3*(f - 2)*(f - 1)
Let r(x) be the third derivative of 0 - 2*x**2 + 0*x + 3/100*x**5 + 1/200*x**6 + 0*x**3 + 1/20*x**4. Factor r(u).
3*u*(u + 1)*(u + 2)/5
Let z be (2/72)/(164/1476). Suppose -3*s + 2*w = -18, 2*w + 30 = 6*s - s. Suppose 9/4*q**2 - s*q + 4 - z*q**3 = 0. What is q?
1, 4
Let t(w) = w**2. Let v be t(-1). Let r(y) = 6. Let n(k) = -k**2 - 1. Let l(c) = v*r(c) + 3*n(c). Factor l(m).
-3*(m - 1)*(m + 1)
Let j(g) be the third derivative of -g**6/210 - 29*g**5/210 - g**4/6 + 103*g**2. Factor j(k).
-2*k*(k + 14)*(2*k + 1)/7
Let t = 370 - 1477/4. Find i such that -9/4*i - t*i**2 + 3 = 0.
-4, 1
Solve -44/3*a + 32/9 - 37/9*a**3 + 1/3*a**4 + 40/3*a**2 = 0 for a.
1/3, 2, 8
Let g(x) be the second derivative of -x**7/273 - x**6/39 - 3*x**5/130 + 5*x**4/78 + 4*x**3/39 - 3*x + 7. Suppose g(h) = 0. Calculate h.
-4, -1, 0, 1
Let d(r) be the first derivative of 0*r**3 - 5/2*r**2 + 18 + 0*r + 5/4*r**4. Determine a so that d(a) = 0.
-1, 0, 1
Let o(c) = -c. Let y(r) = -r - 53. Let z(k) = 6*o(k) - y(k). Let a be z(10). Find v, given that 0 + 5/4*v**a + 4*v**2 - 7/4*v**4 + v = 0.
-1, -2/7, 0, 2
Let z(u) = 3*u**3 - 4*u. Suppose 6 = 14*o - 17*o. Let a(w) = 10*w**3 - 12*w. Let k(m) = o*a(m) + 7*z(m). Factor k(x).
x*(x - 2)*(x + 2)
Let n be (-2 - -11)/((-90)/24)*40/(-32). Solve -8*w + 10/3*w**n + 8/3 + 2*w**2 = 0 for w.
-2, 2/5, 1
Determine l so that 6*l**3 + 3/7*l**5 + 6/7*l**2 - 45/7*l + 3*l**4 - 27/7 = 0.
-3, -1, 1
Determine h, given that -121022*h**3 - 864*h + 16 + 531441*h**4 + 1148*h**2 + 16348*h**2 - 36442*h**3 = 0.
2/27
Let z be 0 + (9 - 4)*-1. Let j be (4/z)/(2/(-15)). Suppose j - 5*n + n**2 + n**2 - 5*n**2 + 2*n = 0. What is n?
-2, 1
Let v(w) = w**2 - 11*w + 14. Let l be v(10). Factor 4*r**3 - 48 - 7*r + l*r**2 - 25*r + 0*r**3.
4*(r - 3)*(r + 2)**2
Factor 4/3*n**3 + 16*n**2 + 0 - 52/3*n.
4*n*(n - 1)*(n + 13)/3
Suppose 921 - 269 = 4*p. Factor 77*x**4 + 447*x + p + 961*x + 23*x**4 + 2256*x**2 + 93 + 880*x**3.
4*(x + 4)**2*(5*x + 2)**2
Determine l, given that -1/9*l**4 + 11/3 + 16/3*l**2 - 2/3*l**3 - 74/9*l = 0.
-11, 1, 3
Let a be (24/(-10) - -2)*-30. Let o(c) = 512*c**2 + 123*c + 8. Let d(i) = 1280*i**2 + 308*i + 20. Let b(l) = a*o(l) - 5*d(l). Determine f, given that b(f) = 0.
-1/8
Let o(i) = -4*i**2 + 12*i. Let m(t) = t**2 - 20*t + 19. Let h be m(18). Let y(v) = -12*v**2 + 36*v. Let a(u) = h*o(u) + 6*y(u). Suppose a(x) = 0. What is x?
0, 3
Let u(d) be the first derivative of 7*d**5/10 - d**4/4 - 7*d**3/6 + d**2/2 - 8. Factor u(k).
k*(k - 1)*(k + 1)*(7*k - 2)/2
Let h(j) be the second derivative of 34*j + 24/5*j**2 + 1/20*j**4 + 0 - 4/5*j**3. Determine a so that h(a) = 0.
4
Let t(o) be the first derivative of -23 - 2*o - 5/4*o**2 - 1/6*o**3. Factor t(x).
-(x + 1)*(x + 4)/2
Let n(z) be the second derivative of -z**6/24 - z**5/6 + 5*z**4/24 + 5*z**3/3 + 5*z**2 + 8*z. Let m(v) be the first derivative of n(v). What is k in m(k) = 0?
-2, -1, 1
Let j(i) be the third derivative of i**8/110880 + i**7/13860 - 3*i**5/10 + 13*i**2. Let u(m) be the third derivative of j(m). Factor u(k).
2*k*(k + 2)/11
Let u(o) = o**2 - 3*o. Let h(z) = -5*z**2 + 7*z + 8. Let w(l) = h(l) + u(l). Let w(d) = 0. What is d?
-1, 2
Let o(w) be the third derivative of 1/240*w**6 - 17/96*w**4 + 0 + 1/4*w**3 + 0*w + 3/80*w**5 - 18*w**2. Factor o(s).
(s - 1)*(s + 6)*(2*s - 1)/4
Factor -4*w**3 + 1/2*w**4 + 5/2 - 8*w + 9*w**2.
(w - 5)*(w - 1)**3/2
Suppose 0 = 3*q - 2 - 4. Factor 2*n + 15*n**3 + 2*n**q + 0*n + 2*n**2 - 4*n**4 - 17*n**3.
-2*n*(n - 1)*(n + 1)*(2*n + 1)
Let v(w) be the third derivative of w**7/945 - w**6/270 - w**5/270 + w**4/54 + 7*w**2 + 8*w. Suppose v(l) = 0. What is l?
-1, 0, 1, 2
Let t(m) = -81*m - 9475. Let i be t(-117). Factor -3/5 + 12/5*w**3 - 3/5*w**4 - 18/5*w**i + 12/5*w.
-3*(w - 1)**4/5
Suppose 13 = 2*h + 27. Let z = h - -9. Factor -3/4*s**3 - 9*s - 6 - 9/2*s**z.
-3*(s + 2)**3/4
Let m = 2115 + -6337/3. Factor 4/9 + 