tor h(k).
-4*(k - 6)*(k - 3)
Let j be (-42)/(-1008)*(-5)/(-50). Let n(w) be the third derivative of 0*w + 0*w**3 + 4*w**2 - j*w**6 - 1/120*w**5 + 0 + 0*w**4. Suppose n(g) = 0. Calculate g.
-1, 0
Suppose -3*l = t - 54, -4*t = -6*t. Factor 484*r**2 + 7*r**5 + 186*r**4 + 32 + 476*r**3 + 21*r**5 + l*r**4 + 216*r.
4*(r + 1)**3*(r + 4)*(7*r + 2)
Let f be (7 + (-531)/118)/(15/9). Let -18*s + 15*s**2 - 108 - f*s**3 = 0. Calculate s.
-2, 6
Let n be -8*(3 - 28/8). Factor n*a**2 - 4*a**3 - 2 + 0*a**4 + 4*a + a - 2*a**4 + 2*a**5 - 3*a.
2*(a - 1)**3*(a + 1)**2
Find q, given that 9*q + 9*q - 8*q**2 + 31*q - 81*q + 4*q**3 = 0.
-2, 0, 4
Let t = 1724 - 1694. Let z be (t/(-70))/(54/(-168)). What is l in z*l - 2/9*l**2 + 0 = 0?
0, 6
Let y(c) be the first derivative of 1/5*c**4 - 28/15*c**3 - 92 + 0*c**2 + 0*c. Let y(s) = 0. What is s?
0, 7
Let p(i) be the second derivative of 75*i - 27/10*i**5 + 109/4*i**4 - 126*i**3 + 1/10*i**6 + 294*i**2 + 2. Factor p(l).
3*(l - 7)**2*(l - 2)**2
Determine s, given that 24*s**4 - 85*s**2 - 75*s**3 - 21*s - 10*s**4 + 44*s - 9*s**4 + 80 + 52*s = 0.
-1, 1, 16
Let o(b) be the third derivative of 0*b**3 + 0 + 8/63*b**7 - 11/60*b**6 + 16*b**2 + 1/9*b**5 - 2/63*b**8 - 1/36*b**4 + 3*b. Solve o(t) = 0 for t.
0, 1/4, 1
Let n = 25569/11 - 249602/99. Let a = n + 197. Factor 0 + 0*o**2 + a*o**3 - 2/9*o.
2*o*(o - 1)*(o + 1)/9
Let b(z) be the third derivative of -z**8/42 + 5*z**7/7 - 3*z**6/4 - 16*z**5/3 - 3*z**4 + z**2 - 48*z. Solve b(p) = 0 for p.
-1, -1/4, 0, 2, 18
Let x(o) be the first derivative of -2*o**3/21 - 214*o**2 - 160286*o - 3080. Factor x(z).
-2*(z + 749)**2/7
Factor -800/7*n - 2/7*n**2 - 80000/7.
-2*(n + 200)**2/7
Let y(k) be the third derivative of k**5/270 - 419*k**4/54 + 175561*k**3/27 + 2*k**2 - 99*k - 6. Let y(n) = 0. What is n?
419
Let w(v) be the second derivative of 0*v**3 + 8/9*v**4 - 1/90*v**6 + 5*v + 31/60*v**5 + 4 + 0*v**2. Factor w(h).
-h**2*(h - 32)*(h + 1)/3
Let b(v) = 5*v**2 - 11*v - 34. Let m be b(5). Let q = 109/3 - m. Find k, given that -4/3*k - 4/3*k**3 - q - 2*k**2 - 1/3*k**4 = 0.
-1
Factor 68*x**2 - 197136/13 + 96792/13*x + 2/13*x**3.
2*(x - 2)*(x + 222)**2/13
Suppose -35 - 35 = -10*w. Suppose 0 = -6*f + w*f - 5. Factor 4*z + f*z**3 + 7*z**3 + 2*z - 15*z**2 + 3*z**4 - 6*z**4.
-3*z*(z - 2)*(z - 1)**2
Factor 152/15 + 2/15*r**3 - 48/5*r + 2*r**2.
2*(r - 2)**2*(r + 19)/15
Let l(j) be the second derivative of j**5/5 + 171*j**4 + 43690*j**3 - 132098*j**2 + 673*j + 2. Find t, given that l(t) = 0.
-257, 1
Let m(c) be the second derivative of 649*c**4/18 + 215*c**3/3 - 4*c**2/3 + 13220*c. Factor m(i).
2*(i + 1)*(649*i - 4)/3
Factor -25/4*g + 1/4*g**4 + 0 - 27/4*g**3 + 51/4*g**2.
g*(g - 25)*(g - 1)**2/4
Suppose 226*l = 236*l - 20. Let c(t) be the third derivative of 0*t - 7/120*t**6 + 3/20*t**5 - 2/3*t**3 + 15*t**l + 0 + 1/2*t**4. Find u such that c(u) = 0.
-1, 2/7, 2
Suppose 20*w = -w - 126. Let r be (-10)/w*(-12)/(-30). Let 1/3*j**3 - r*j**4 + 1/3*j - 2/3 + 2*j**2 = 0. What is j?
-1, 1/2, 2
Let g(f) = 14*f**3 - 13*f**2 - 4*f - 2. Let t(y) = 26*y + 2 + 30*y + y**2 - 55*y + y**3. Let h(s) = g(s) + t(s). Factor h(r).
3*r*(r - 1)*(5*r + 1)
Suppose 171*b - 1003 = 26*b + 447. Let o(r) be the third derivative of 0 + 8/3*r**3 + 0*r - 1/6*r**4 + 1/240*r**5 - b*r**2. Determine p so that o(p) = 0.
8
Let r be (655655/2420)/(-91) + (-1 - -4). Let j(t) be the second derivative of 25*t + 1/330*t**6 + 0*t**2 - 3/220*t**5 + r*t**4 - 1/66*t**3 + 0. Factor j(w).
w*(w - 1)**3/11
Let i(t) = 605*t + 55662. Let y be i(-92). Factor 0 - 6*h**3 + 0*h - 6*h**y - 3/2*h**4.
-3*h**2*(h + 2)**2/2
Let s(n) be the third derivative of n**6/660 - n**5/11 + 26*n**4/33 - 3*n**2 - 156*n. Factor s(g).
2*g*(g - 26)*(g - 4)/11
Let q(a) be the third derivative of -41/156*a**4 - 2/13*a**3 - 19 - 2*a**2 + 7/390*a**5 + 0*a. Factor q(s).
2*(s - 6)*(7*s + 1)/13
Let x be (-24)/20 - (-3300)/250. Let a be 6/(10/4 + -1). Factor x*s - 3*s + 4 - a*s + s - 10*s**2.
-2*(s - 1)*(5*s + 2)
Find b, given that 0 - 84/11*b**2 + 0*b - 2/11*b**4 - 86/11*b**3 = 0.
-42, -1, 0
Let r(x) be the first derivative of -x**6/15 - 34*x**5/25 + 92*x**4/5 - 160*x**3/3 + 130. Solve r(c) = 0 for c.
-25, 0, 4
Let q(p) be the second derivative of p**7/420 + 11*p**6/80 - 17*p**5/40 + p**4/6 + 27*p**2 + 4*p + 10. Let x(s) be the third derivative of q(s). Factor x(u).
3*(u + 17)*(2*u - 1)
Suppose -326*d - 32 = -334*d. Let f be (-4)/(-126)*6*3. Factor 2/7*y**3 + 0*y + 2/7*y**5 + 0*y**2 + 0 - f*y**d.
2*y**3*(y - 1)**2/7
Let -657*j + 557 + 18*j**2 - 9*j**2 + 101*j - 10*j**2 = 0. What is j?
-557, 1
Let n be (-3729)/264 - (-2)/16. Let h be ((-1)/21*-6)/((-6)/n). Factor -2*v**2 + 2/3*v + 4/3 - h*v**3 + 2/3*v**4.
2*(v - 2)*(v - 1)*(v + 1)**2/3
Let w(f) be the third derivative of -1/840*f**8 + 0 + 1/150*f**5 + 1/100*f**6 + f**2 - 34*f + 0*f**3 + 1/1575*f**7 - 1/90*f**4. Solve w(t) = 0.
-1, 0, 1/3, 2
Suppose -90*u = -49*u + 87*u. Let f(r) be the first derivative of 4/21*r**3 + u*r + 12 + 3/14*r**2 + 1/28*r**4. Find z, given that f(z) = 0.
-3, -1, 0
Let w(k) be the third derivative of k**5/18 - 41*k**4/4 - 74*k**3/9 - 883*k**2. Factor w(s).
2*(s - 74)*(5*s + 1)/3
Let h be (-175379)/(-19017) - ((-1)/(-1) + 8)*1. Factor 0 - h*d**3 + 0*d + 4/3*d**2.
-2*d**2*(d - 6)/9
Factor -1975*s**2 - 2394*s + 792*s + 1978*s**2 + 213867.
3*(s - 267)**2
Determine k so that 1449/8*k + 255/8*k**2 + 3/8*k**3 + 2133/8 = 0.
-79, -3
Let z(s) be the first derivative of -s**4/18 + 44*s**3/27 + 15*s**2 - 2653. Suppose z(j) = 0. Calculate j.
-5, 0, 27
Solve 4029396894/7 - 9571014/7*i - 2/7*i**3 + 7578/7*i**2 = 0 for i.
1263
Let h be ((-120)/25)/(4928/(-440)). Find n, given that -23/7*n**3 - 26/7*n**2 + 4*n - h*n**4 + 24/7 = 0.
-6, -2, -2/3, 1
Let d(j) be the first derivative of -1/24*j**6 + 16 + 0*j**4 + 0*j**2 + 0*j + 3/20*j**5 - 1/3*j**3. Suppose d(x) = 0. What is x?
-1, 0, 2
Let o = 211587 - 2327455/11. Determine h, given that 0 + o*h**3 - 20/11*h**2 - 2*h = 0.
-1, 0, 11
Let q(u) be the second derivative of -u**6/10 + 39*u**5/10 - 141*u**4/4 - 182*u**3 - 294*u**2 - 1607*u. Factor q(v).
-3*(v - 14)**2*(v + 1)**2
Let f(d) = d - 3. Let i be f(5). Let u = 26878 + -26878. Factor u + 4/9*q - 14/9*q**i - 8/9*q**3.
-2*q*(q + 2)*(4*q - 1)/9
Let m = 1/877217 - -130495/79747. Find f, given that 28/11*f + 0 + 2/11*f**3 - m*f**2 = 0.
0, 2, 7
Let z(g) = g**3. Suppose 0*f = 2*f + 78. Let a = -41 - f. Let l(i) = i**4 - i**3 + 2*i - 1. Let b(w) = a*z(w) + 2*l(w). Find r, given that b(r) = 0.
-1, 1
Suppose -9*h = -5*o + 37, 0 = 4817*o - 4815*o - h - 7. Determine l so that 9*l + 33/4 + 3/4*l**o = 0.
-11, -1
Let r(h) = -33*h**2 + 170*h + 49. Let b(u) = 58*u**2 - 340*u - 99. Let g(i) = -6*b(i) - 11*r(i). Factor g(q).
5*(q + 11)*(3*q + 1)
Let a(u) be the second derivative of 0*u**4 + 8*u + 0*u**3 + 1/120*u**6 - 1/80*u**5 + 0*u**2 + 0. Solve a(n) = 0 for n.
0, 1
Suppose 12 = 4*c - c. Suppose i + 4*r - 4 = 0, i - 4*r + 12 = c*i. Determine d so that -6*d**4 + 3*d**5 + 3*d**i - 6*d**5 = 0.
-1, 0
Let w be ((-66)/(-330))/(-8*1 + 3 + 21/4). Factor -4*p**2 + 32/5*p**3 - 40*p - w*p**4 + 0.
-4*p*(p - 5)**2*(p + 2)/5
What is d in 6/5*d**4 + 0 + 1944/5*d**2 + 216/5*d**3 + 0*d = 0?
-18, 0
Let i be 30/(-8)*176/(-33). Let b be (-4)/(-6) - i/(-15). Let 89*a**4 + 140*a**3 - 89*a**2 + 16*a + 9*a**4 - 15*a**b = 0. What is a?
-2, 0, 2/7
Let i(o) be the second derivative of o**7/84 - 3*o**6/4 + 135*o**5/8 - 1125*o**4/8 - 9*o - 20. Find h, given that i(h) = 0.
0, 15
Let v(s) = -6*s**2 + 6*s - 2. Let q be v(1). Let h be q/6*(5 + -6). Determine u, given that -h + 11/6*u - 3/2*u**2 = 0.
2/9, 1
Let n(d) be the second derivative of -d**8/840 + 2*d**7/525 - d**5/75 + d**4/60 - 4*d**2 - 45*d. Let v(c) be the first derivative of n(c). Solve v(h) = 0 for h.
-1, 0, 1
Let x be ((-132)/(-176))/(4*(273/(-48) + 6)). Find q, given that 0 - 3/5*q - x*q**2 = 0.
-1, 0
Let o(k) = -3*k + 9. Let x be o(-3). Let c be (28/(-35) + x/10)*5. Factor -45 - 46 + c*s**3 + 15*s - 20*s**2 + 91.
5*s*(s - 3)*(s - 1)
Let p(i) be the first derivative of -i**3/9 + 783*i**2 - 1839267*i + 5308. Factor p(l).
-(l - 2349)**2/3
Let u(g) = -6*g + 117. Let j be u(19). Let r be (4/j)/((-6)/((-252)/22)). Let -r*b - 10/11 - 14/11*b**2 + 4/11*b**3 = 0. What is b?
-1, -1/2, 5
Let i(w) = 42*w**2 - 122*w + 552. Let l(k)