uch that -1/7*h**u - 4/7 + 5/7*h = 0.
1, 4
Let w be (-77)/11 - (-30)/3. Let c(x) be the third derivative of 1/2310*x**7 - 1/660*x**5 - 1/660*x**6 - 36*x**2 + 0*x + 0 + 0*x**w + 1/132*x**4. Factor c(z).
z*(z - 2)*(z - 1)*(z + 1)/11
Let q(t) be the first derivative of -t**5/12 + 5*t**3/6 - t**2 + 47*t - 26. Let m(y) be the second derivative of q(y). Factor m(w).
-5*(w - 1)*(w + 1)
Factor 10*u - u - 2*u**3 + 39*u**2 - 48 - u - 176 + 17*u**2.
-2*(u - 28)*(u - 2)*(u + 2)
Let t = -11196 + 11198. Let i(d) be the second derivative of 1/12*d**4 - 1/3*d**3 + 32*d + 0*d**t + 0. Let i(g) = 0. What is g?
0, 2
Suppose 0 = 32*k - 36*k + 8. Factor 20*n**3 - k*n**2 + 0*n**2 + 11*n**3 - 32*n**3.
-n**2*(n + 2)
Let s(d) be the second derivative of -1 - 6*d**2 + 1/10*d**5 - 7/3*d**3 - d + 0*d**4. Factor s(c).
2*(c - 3)*(c + 1)*(c + 2)
Let b(l) be the first derivative of -l**4/4 + 4*l**3/3 + 7*l**2/2 - 10*l - 1519. Find u such that b(u) = 0.
-2, 1, 5
Let a be 8/240*6 - 54/(-30). Let u = -171 + 174. Find i, given that -3/7*i**5 - 2/7 - 4/7*i**4 - 5/7*i + 8/7*i**u + 6/7*i**a = 0.
-2, -1, -1/3, 1
Let s(j) be the first derivative of 5/3*j**3 + 1445*j - 98 - 85*j**2. Factor s(w).
5*(w - 17)**2
Suppose 171*m - 336 = 59*m. Let r(j) be the third derivative of 1/32*j**4 + 0 + 4*j**2 + 0*j**m + 1/240*j**5 + 0*j. Solve r(g) = 0 for g.
-3, 0
Let c = -72274 - -72276. Let m be (-87)/(-60) - (-1)/(-5). Factor -m - 75/4*i**c - 20*i.
-5*(i + 1)*(15*i + 1)/4
Let n = 139541/8320 + 47/1664. Factor 102/5*a**3 + 0 - 24/5*a - 27/5*a**4 - n*a**2.
-3*a*(a - 2)**2*(9*a + 2)/5
Let y(r) be the first derivative of 3*r**6/80 + r**5/5 + 3*r**4/16 - r**3/2 - 45*r**2/2 + 38. Let u(q) be the second derivative of y(q). Factor u(v).
3*(v + 1)*(v + 2)*(3*v - 1)/2
Let g be 1/(12*(-13)/2964) - -22. Let d = -4 + 6. Factor 0 + 0*x + 2/5*x**g + 2/5*x**d.
2*x**2*(x + 1)/5
Let i(u) be the second derivative of u**4/6 - 56*u**3/3 - 177*u**2 - 3872*u. Factor i(f).
2*(f - 59)*(f + 3)
Let s(i) be the first derivative of -i**7/168 + i**6/36 + i**5/8 + 2*i**3 - i**2 - 129. Let h(n) be the third derivative of s(n). Suppose h(j) = 0. Calculate j.
-1, 0, 3
Let a(j) be the second derivative of j**5/80 - 11*j**4/12 + 26*j**3 - 360*j**2 - 17*j - 39. Factor a(z).
(z - 20)*(z - 12)**2/4
Let v = 24/12029 + -116982193/84203. Let a = 1391 + v. Determine c so that a*c**2 + 0 + 4/7*c**3 + 0*c = 0.
-3, 0
Let b(c) = c**3 + 22*c**2 - 23*c - 5. Let t be b(-23). Let y = t + 9. Factor 62*n**4 + y*n**5 - 32*n**4 - 32 + 8*n**2 - 6*n**4 + 44*n**3 - 48*n.
4*(n - 1)*(n + 1)*(n + 2)**3
Let o(l) be the third derivative of l**7/2520 - l**6/168 + l**5/105 + l**4/4 - 2*l**3/3 + 2*l**2 + 41. Let b(z) be the second derivative of o(z). Factor b(c).
(c - 4)*(7*c - 2)/7
Suppose -30618 - 3240*u - 3/2*u**3 + 303/2*u**2 = 0. Calculate u.
-7, 54
Let n(r) be the first derivative of 65 - r**3 + 0*r**2 - 12/5*r**5 + 0*r + 15/4*r**4. Factor n(t).
-3*t**2*(t - 1)*(4*t - 1)
Let w(f) = -4*f**2 - 102*f - 14. Let x be w(-21). Suppose 86*r**3 + 42*r**3 + x*r**3 - 7*r + 3*r - 315*r**4 + 12 - 209*r**2 = 0. What is r?
-1/5, 3/7, 2/3
Let t(u) be the first derivative of -4*u**3 - 69*u**2/2 + 18*u - 1201. Let t(i) = 0. What is i?
-6, 1/4
Let 328*l + 46*l**4 - 1615 + 708*l**2 - 113 + 152*l - 7*l**4 - 336*l**3 = 0. Calculate l.
-18/13, 2, 4
Let x be (705/20)/3 + 3/12. Factor 10*k + x*k**2 + 2*k**3 - 7*k + 15*k + 8.
2*(k + 1)**2*(k + 4)
Suppose -123*u - 16*u + 177 = 133 - 234. Factor 1 + 23/6*w + 3*w**3 + 1/3*w**4 + 16/3*w**u - 1/6*w**5.
-(w - 6)*(w + 1)**4/6
Let p be 2990/11 + 100/(-55) + 2. Solve 592 - 267*g**2 + 290*g + p*g**2 + 3613 = 0 for g.
-29
Let d(o) be the second derivative of 0 - 1/48*o**4 + 1/360*o**5 + 3/2*o**2 - 1/9*o**3 - 3*o. Let l(q) be the first derivative of d(q). Solve l(z) = 0.
-1, 4
Let c(h) be the second derivative of -h**5/80 - 11*h**4/4 + 423*h**3/8 + 7697*h. Let c(f) = 0. Calculate f.
-141, 0, 9
Let l(d) = -3*d**2 + 12*d - 2. Let t(n) = 7*n + 5*n - 49*n + 8*n**2 + 7. Let p(k) = 7*l(k) + 2*t(k). Find x, given that p(x) = 0.
0, 2
Suppose 81298*j**3 + 729/4*j**5 - 29997/4*j**4 - 400 - 84821*j**2 + 11240*j = 0. Calculate j.
2/27, 1, 20
Suppose -24*o + 430 - 15190 = 0. Let x = -1844/3 - o. Determine f so that x*f**2 + 2/3 - f = 0.
1, 2
Factor -32 + 2/3*m**3 + 10/3*m**2 - 16/3*m.
2*(m - 3)*(m + 4)**2/3
Let a be 60/(-11)*(12 - (12288/60)/16). Let -18/11 - 2/11*f**4 - 16/11*f**3 - a*f - 4*f**2 = 0. Calculate f.
-3, -1
Let g(h) be the first derivative of -h**4/18 + 916*h**3/27 + h**2/9 - 916*h/9 + 1946. Determine l so that g(l) = 0.
-1, 1, 458
Find u, given that 3*u**2 + 883*u + 880*u - 1766*u = 0.
0, 1
Suppose -663 = 23*s - 19. Let t(p) = p**3 - 2*p**2. Let j(f) = -f**4 + 5*f**3 - 11*f**2. Let n(b) = s*t(b) + 4*j(b). Factor n(a).
-4*a**2*(a - 1)*(a + 3)
Let i be 0 + 8 - 6/(-3 + 0). Suppose -y = -4*v + 16, 2*v + 0*v - i = y. Factor 2*d + 0*d**3 - 11*d + 2*d**3 - v*d**3 + 6*d**2.
-d*(d - 3)**2
Let t(q) be the third derivative of -5/2*q**4 + 0*q**3 - 2/15*q**5 + 1/30*q**6 + 0 + 0*q + 248*q**2. Let t(j) = 0. What is j?
-3, 0, 5
Let b = -96469/10 - -9647. Let i(h) be the second derivative of 0*h**4 + b*h**6 + 0*h**2 + 0 + 0*h**3 - 3/20*h**5 + 2*h. Factor i(c).
3*c**3*(c - 1)
Let w = -76299 - -76302. Determine t, given that -2662/21 + 484/3*t - 2/21*t**4 + 68/21*t**w - 264/7*t**2 = 0.
1, 11
Let m be 4/3*(-285)/19. Let t = 25 + m. Factor -3*u**2 + u**t - 3*u**4 + 7*u**3 + 0*u**4 - 2*u**4.
u**2*(u - 3)*(u - 1)**2
Factor 2/5*z**3 - 972/5 - 968/5*z**2 - 1942/5*z.
2*(z - 486)*(z + 1)**2/5
Let t(u) = -u**2 + 1. Let i(r) = 5*r**2 - 17*r - 44. Let w(h) = -i(h) - 4*t(h). Let o be w(19). Factor a**o + 4*a + 0 - 3 + 3 + 4.
(a + 2)**2
Let k(c) = c**2 - 7*c + 14. Let t be k(3). What is x in 1620 + 42*x + 23*x + 34*x + 81*x + 5*x**t = 0?
-18
Find z, given that 69374*z + 84*z**2 + 67862*z - 134628*z + 124 = 0.
-31, -1/21
Suppose -3*n = 2*n - 20. Let q be 3/n*-2 - 7/(-2). Solve q*h**5 - 2*h**5 + 3*h**3 + h**5 - 114*h**4 + 117*h**4 + h**2 = 0 for h.
-1, 0
Let i = -151 - -154. Find w, given that -48*w - 185 - 103 - 112*w**3 + 108*w**i + 40*w**2 = 0.
-2, 6
What is b in 0 + 2/3*b**3 + 4*b**5 + 14/3*b**4 + 0*b + 0*b**2 = 0?
-1, -1/6, 0
Let a(b) be the third derivative of -194*b**2 + 1/780*b**6 + 7/39*b**3 + 0*b - 1/156*b**4 - 7/390*b**5 + 0. Determine p so that a(p) = 0.
-1, 1, 7
Let l be (91/(-7) + (-280)/(-20))*(2 + -4 + 2). What is j in 3/2*j**3 - 7/6*j**2 - 5/6*j**4 + l + 1/6*j**5 + 1/3*j = 0?
0, 1, 2
Suppose d - 2*l = 11, -5*l + 0*l - 8 = 4*d. Suppose 5*j + z - 77 = d, -4*j = -3*z - 45. Factor -j*o + 2 - 5*o**3 - 15*o**2 - 5 - 2.
-5*(o + 1)**3
Find y such that -3/2*y**2 + 0 + 7/2*y**4 + 13/2*y**3 - 9*y + 1/2*y**5 = 0.
-3, -2, 0, 1
Let j(w) = -7*w**3 + 4*w**2 - 3. Let l be j(-1). Determine k, given that -5*k**3 + 12*k - 6*k**3 - 8*k**4 + 0*k**3 + l*k**2 + 7084*k**5 - 7085*k**5 = 0.
-6, -2, -1, 0, 1
Determine t so that 44*t**2 - 896*t + 2178*t - 280 - 1046*t = 0.
-70/11, 1
Suppose 0 = -u, 3*q + 9*u = 8*u + 123. Factor -101*c + 232*c + 3*c**2 - q*c + 675.
3*(c + 15)**2
Let t(u) be the third derivative of -u**6/180 + 86*u**5/45 - 341*u**4/36 + 170*u**3/9 + 430*u**2. Factor t(o).
-2*(o - 170)*(o - 1)**2/3
Factor -16/3*j + 22/9*j**2 + 0 - 2/9*j**3.
-2*j*(j - 8)*(j - 3)/9
Let m(g) be the second derivative of 4*g - 5/3*g**3 + 1/6*g**6 - 5/2*g**2 + 0*g**4 + 6 + 1/2*g**5. Find i, given that m(i) = 0.
-1, 1
Let k = -2414 + 2419. Let r(t) be the third derivative of 1/90*t**k + 0 + 0*t**4 - 1/27*t**3 - 7*t**2 + 1/270*t**6 + 0*t. Find x such that r(x) = 0.
-1, 1/2
Let u = -171 - -178. Factor 7*g - 8*g + 60 - u*g - 5*g**2 + 28*g.
-5*(g - 6)*(g + 2)
Factor -130*f**3 - 10541 + 1073*f - 2190*f - 1443*f + 2541 - 1245*f**2 - 5*f**4 - 2640*f.
-5*(f + 5)**2*(f + 8)**2
Let p be ((-52)/40 + 3/6)/(-1) + 18993828/11515. Let 304/7*n + 2/7*n**2 + p = 0. What is n?
-76
Let h(i) be the second derivative of i**4/21 - 358*i**3/21 + 356*i**2/7 + 17*i + 36. Suppose h(c) = 0. What is c?
1, 178
Let k(x) be the first derivative of -x**3/9 + 89*x**2/6 + 92*x - 94. Factor k(v).
-(v - 92)*(v + 3)/3
Determine l so that 37775750 - 20*l**3 - 95*l**2 + 5*l**4 - 37775750 - 70*l = 0.
-2, -1, 0, 7
Let d(g) be the second derivative of g**6/6 + 173*g**5/4 - 1745*g**4/12 + 875*g**3/6 - 11050*g. Factor d(w).
5*w*(w - 1