= -77*u - 4. Let w = -43 + 42. Let t be h(w). Factor -71*c + 4*c**2 - t*c + 140*c - c**3.
-c*(c - 2)**2
Let a(i) = i**3 - 35*i**2 + 124*i. Let z be a(31). Let c(v) be the third derivative of 8/21*v**3 + z*v + 4/7*v**4 + 0 + 9/35*v**5 + v**2. Factor c(g).
4*(3*g + 2)*(9*g + 2)/7
Let p(c) be the third derivative of c**7/1960 - 3*c**5/70 + 2*c**4/7 + 22*c**3/3 - 5*c**2 + 6. Let j(a) be the first derivative of p(a). Factor j(n).
3*(n - 2)**2*(n + 4)/7
Let b(y) be the third derivative of -y**5/150 - 17*y**4/20 + 406*y**3/15 + 4*y**2 + 48*y - 2. Factor b(k).
-2*(k - 7)*(k + 58)/5
Let c(z) be the first derivative of 2*z**3/3 - 8*z**2 + 4*z + 4. Let k be c(8). Factor 3*d**2 - d**k + 12 - 35*d**3 + 20*d**3 - 2*d**4 + 3*d**5 + 24*d.
3*(d - 2)**2*(d + 1)**3
Let c(l) be the second derivative of -l**6/120 - 11*l**5/16 + 29*l**4/8 - l**3/6 - 29*l**2 - 449*l + 6. Factor c(w).
-(w - 2)**2*(w + 1)*(w + 58)/4
Let w(y) be the third derivative of y**5/210 + 41*y**4/84 + 18*y**3 - 12*y**2 + y - 96. Factor w(l).
2*(l + 14)*(l + 27)/7
Let i(j) be the second derivative of -33/140*j**5 + 12/7*j**2 - 3/35*j**6 - 1/98*j**7 - 1/14*j**4 + 33*j - 1 + 6/7*j**3. What is x in i(x) = 0?
-2, -1, 1
Let b = 22255/77917 - -1/11131. Factor b*d**2 - 2 - 12/7*d.
2*(d - 7)*(d + 1)/7
Let m be (65 - 53)/(4/18*6) + -6. Let v(n) be the second derivative of -17/39*n**m + 0 + 4*n + 8/13*n**2 - 1/130*n**5 + 5/39*n**4. Solve v(w) = 0 for w.
1, 8
Determine r, given that -17844338/9 + 11948/9*r - 2/9*r**2 = 0.
2987
Suppose 923*b - 20 = 918*b. Let p(s) = s**2 + 11*s - 40. Let t be p(-14). Suppose -2/3*r**t + 2/3*r**b + 2/3*r - 2/3*r**3 + 0 = 0. What is r?
-1, 0, 1
Find f such that -396/7 + 6*f**2 + 9/7*f**3 - 75/7*f = 0.
-4, -11/3, 3
Suppose -4/5*c**3 - 934848*c + 933120 + 8644/5*c**2 = 0. What is c?
1, 1080
Find l such that -1/2*l**4 + 0 - l + 1/2*l**2 + l**3 = 0.
-1, 0, 1, 2
Let s be (1 - 1)/(-2 + 4). Suppose 15*g - 17*g + 4 = s. Factor 7*c - 4 - 3*c + 2*c**g - c - c.
2*(c - 1)*(c + 2)
Let l(b) = -b**3 + 8*b**2 + 8*b - 12. Let o be l(7). Let p = -90 + o. Factor -3*n**2 + 4*n - 4 - 4*n**4 + 4*n**5 + 4*n**3 + p*n**2 + 8*n**2 - 12*n**3.
4*(n - 1)**3*(n + 1)**2
Let g(h) be the first derivative of -h**4/4 - 5*h**3 - 19*h**2 - 24*h - 671. Factor g(x).
-(x + 1)*(x + 2)*(x + 12)
Let i(r) be the third derivative of 2*r**7/105 - 163*r**6/15 + 26893*r**5/15 - 8802*r**4 + 17496*r**3 + 166*r**2. Determine p, given that i(p) = 0.
1, 162
Let w = 129102/385 - 3688/11. Let z(f) be the first derivative of -w*f**5 - 4/21*f**3 + 0*f - 34 + 3/14*f**4 + 0*f**2. Determine d, given that z(d) = 0.
0, 1, 2
Factor 2/9*h + 0*h**2 + 0 - 2/9*h**3.
-2*h*(h - 1)*(h + 1)/9
Let b(s) = -54*s + 33642. Let g be b(623). Factor g*v**3 + 0*v - 8/9*v**2 + 2/9*v**4 + 0.
2*v**2*(v - 2)*(v + 2)/9
Suppose -908*w - 872*w + 5087 = -253. Factor -1/2*o**4 - 4*o**w + 0 - 5*o + 19/2*o**2.
-o*(o - 1)**2*(o + 10)/2
Let l = 584/8695 - -231/1739. Let y be 1/(10/12) - 1. Let -y*d**2 + l + 0*d = 0. What is d?
-1, 1
Let t(o) be the second derivative of -o**5/60 + 1429*o**4/36 - 85204*o**3/3 + 84966*o**2 - 2041*o. Suppose t(c) = 0. Calculate c.
1, 714
Let m(j) be the third derivative of 0 + 9*j**2 + 0*j**5 + 0*j + 0*j**6 - 1/168*j**7 + 0*j**4 - 7/2*j**3. Let c(h) be the first derivative of m(h). Factor c(d).
-5*d**3
Let d be 2480/96 - 4815/214. Factor d*u + 0 + 2/3*u**3 + 4*u**2.
2*u*(u + 1)*(u + 5)/3
Let d(x) be the third derivative of x**8/252 + 64*x**7/315 - 67*x**6/90 + 34*x**5/45 - 906*x**2 + 2. Determine y, given that d(y) = 0.
-34, 0, 1
Let q(g) be the third derivative of g**6/120 - g**5/4 - 5*g**4/4 - 11*g**3/3 - g**2. Let v be q(17). Let 3*f**2 - v + 2*f**2 - f**2 + 62 + 16*f = 0. What is f?
-2
Determine i so that 322/3*i - 1/6*i**4 + 54 + 38/3*i**3 + 397/6*i**2 = 0.
-2, -1, 81
Let m(f) = -317*f**2 + 1111*f - 2263. Let r(j) = -112*j**2 + 370*j - 754. Let n(o) = -6*m(o) + 17*r(o). Factor n(y).
-2*(y - 2)*(y + 190)
Let q = -2343 + 2347. Let s(a) be the first derivative of 3/10*a**2 + 7 - 1/20*a**q + 2/5*a + 0*a**3. Determine t so that s(t) = 0.
-1, 2
Let u be (432/45)/(-1 + 1443/1440). Determine z, given that 11621 - 30490 - 79435 + 4608*z - 288*z**2 + u*z + 3*z**3 = 0.
32
Let t be (-24)/(-9) + ((-220)/6)/10 + 4. Let o = -181/30 - -31/5. Factor o*h**t + 1/2*h + 0 + 2/3*h**2.
h*(h + 1)*(h + 3)/6
Factor -1517*d + 8624 + 15376 + 3*d**3 + 1096*d + 2396*d + 180*d**2 + 1625*d.
3*(d + 20)**3
Let u(a) = 72*a**2 + 234*a + 195. Let i(z) = 71*z**2 + 232*z + 196. Let m be 2 + 3 + -12 + 0 + 3. Let h(p) = m*u(p) + 3*i(p). Suppose h(r) = 0. What is r?
-8/5
Let g be ((-30)/(-12))/(-29 + (-4089)/(-116)). Determine l so that 36/5 - 6/5*l - g*l**2 = 0.
-6, 3
Let f(c) be the third derivative of c**7/1050 - 7*c**6/600 - c**5/60 + 37*c**4/40 - 6*c**3 - 9*c**2 - 25. Solve f(q) = 0.
-4, 3, 5
Let s be (-3 - ((-8077)/1970 + 2/(-4))) + 4/10. Factor 108/5 + 36/5*z + 3/5*z**s.
3*(z + 6)**2/5
Let r(i) be the first derivative of i**6/120 - 3*i**5/40 - 7*i**4/2 - 119*i**3/3 + 122. Let p(l) be the third derivative of r(l). Let p(c) = 0. What is c?
-4, 7
Let i be (-65 - 0)*(-2)/5. Let p = 2183 + -2165. Let 36*a + p*a**2 + i*a**3 - 54*a**3 + 31*a**3 + 24 = 0. Calculate a.
-2
Let q = 418 + -367. Factor q*u - 15*u**3 - 28 + 8 + 99*u**2 - 43.
-3*(u - 7)*(u + 1)*(5*u - 3)
Let 5*j**5 - 940*j**2 - 10*j**4 - 239*j**3 + 200875*j - 56*j**3 - 400 - 201935*j = 0. What is j?
-4, -2, -1, 10
Solve 0*j + 4/5*j**5 + 0*j**3 + 12/5*j**4 + 0*j**2 + 0 = 0.
-3, 0
Let l = -39239 - -353153/9. Find i such that -l*i**2 + 4/9 + 2/9*i = 0.
-1, 2
Factor 13 + 24 + 14*r**2 + 50 + 1 + 2*r**3 - 88*r + 8*r.
2*(r - 2)**2*(r + 11)
Let c(v) be the second derivative of v**5/50 - 1051*v**4/30 + 2099*v**3/15 - 1049*v**2/5 + 27*v - 8. Determine g so that c(g) = 0.
1, 1049
Suppose -2810*m = -3466*m + 656. Factor 3/4*l**2 + 0*l - m + 1/4*l**3.
(l - 1)*(l + 2)**2/4
Let d(k) = 2*k**2 - 11827*k + 17322503. Let r(x) = -10*x**2 + 59146*x - 86612516. Let f(v) = -26*d(v) - 5*r(v). Factor f(i).
-2*(i - 2943)**2
Factor 5*h**3 + 99516 + 2538 - 9180*h - 1671*h**2 + 52533 + 1551*h**2 + 99733.
5*(h - 34)**2*(h + 44)
Let p be 3822/4732*(-104)/(-112). Let -p - 3/8*c**3 - 3/2*c**2 - 15/8*c = 0. What is c?
-2, -1
Suppose 152*q**2 - 99/2*q**4 - 141*q + 35/4*q**3 + 7/4*q**5 + 28 = 0. What is q?
-2, 2/7, 1, 28
Suppose -2*x - 39 = -15*x. Suppose -6*n**5 - 63*n + 22*n**4 + 10*n**4 - 111*n**x + 123*n**2 + 12 + 34*n**4 - 21*n**4 = 0. What is n?
1/2, 1, 4
Let w(t) = -t + 123. Let b(f) = 41. Let l(j) = -17*b(j) + 6*w(j). Let u be l(6). Solve 10*k**2 - 8*k**2 + u*k**3 - 7*k**2 = 0 for k.
0, 1
Let j = -67/4 + 209/12. Let p(g) be the first derivative of 2/9*g**3 - 1 - 16/3*g - j*g**2. Factor p(a).
2*(a - 4)*(a + 2)/3
Let i be -1484 + 1454 - (-156)/5. Find j such that 6/5*j**2 + i + 3*j = 0.
-2, -1/2
Let u = -23/65 + 1153/2340. Let k(z) be the third derivative of -1/18*z**6 + 5/18*z**3 + 0*z - 5*z**2 - 7/36*z**5 + 0 - u*z**4. Find v such that k(v) = 0.
-1, 1/4
Factor 604/5 - 182*n + 6/5*n**2.
2*(n - 151)*(3*n - 2)/5
Factor 9215/6*c + 1/6*c**3 - 191/6*c**2 - 9025/6.
(c - 95)**2*(c - 1)/6
Let l(p) be the second derivative of p**6/75 + 9*p**5/50 + 7*p**4/15 - 8*p**3/5 + 866*p. Factor l(u).
2*u*(u - 1)*(u + 4)*(u + 6)/5
Let k(t) be the third derivative of 1/300*t**5 + 1/40*t**4 + 0 - 180*t**2 + 1/15*t**3 + 0*t. Determine j, given that k(j) = 0.
-2, -1
Let c(x) be the third derivative of x**6/120 + 7*x**5/60 + x**4/6 + 50*x**3/3 - 738*x**2. Let z be c(-8). Factor -1/4*y**z + 0 + 0*y + 1/2*y**2 - 1/4*y**3.
-y**2*(y - 1)*(y + 2)/4
Let l(o) be the third derivative of 2*o**7/105 - 17*o**6/30 - o**5/5 + 53*o**4/6 - 68*o**3/3 - 628*o**2 - 4. Factor l(b).
4*(b - 17)*(b - 1)**2*(b + 2)
Let x be (-1)/32 + 259090/127552. Solve -6/5*w**3 - 36/5 + 66/5*w - 24/5*w**x = 0.
-6, 1
Let k(j) be the third derivative of -j**8/1344 - 8*j**7/35 - 627*j**6/32 - 1805*j**5/24 + 2905*j**2. Factor k(b).
-b**2*(b + 2)*(b + 95)**2/4
Let o(z) be the first derivative of 111 + 143/14*z**2 + 121/7*z + 23/21*z**3 + 1/28*z**4. Let o(c) = 0. What is c?
-11, -1
Let y(a) be the second derivative of -19*a**6/6 + 97*a**5/4 - 155*a**4/3 + 10*a**3 - 4*a - 163. Find m, given that y(m) = 0.
0, 2/19, 2, 3
Let r be ((-112)/4 + 8)*-2. Let d be 12/9*4/(r/15). Factor 3/4*i**d + 0 + 3/2*i.
3*i*(i +