(t + 4)*(3*t + 1)
Factor -1/4*d**3 + 35/4*d + d**2 - 75/2.
-(d - 5)**2*(d + 6)/4
Suppose -a + 4*d = 93, 392 = -4*a + 5*d - 24. Let g = -542/5 - a. Suppose 3/5*w**3 + 0*w + 6/5*w**2 + 0 - g*w**4 = 0. Calculate w.
-1, 0, 2
Let o(f) be the second derivative of -f**8/280 - 11*f**7/420 - f**6/48 + 29*f**4/12 + 7*f. Let g(p) be the third derivative of o(p). Factor g(s).
-3*s*(2*s + 5)*(4*s + 1)
What is h in -13/6*h**3 + 5/3*h**4 + 5/12*h + 0 - 1/4*h**5 + 1/3*h**2 = 0?
-1/3, 0, 1, 5
Let j = -12771/38 + 1322/19. Let l = -264 - j. Solve -5/4*b**2 + 0 + l*b = 0.
0, 2
Let q(r) be the third derivative of r**6/240 + 11*r**3/6 - 8*r**2. Let v(h) be the first derivative of q(h). Factor v(i).
3*i**2/2
Suppose 33*m + 41735 = 41834. Let s be 2/(-2) + 8/3. Let -4*z**2 - s*z - 1/3*z**m + 2/3 + 4/3*z**4 = 0. Calculate z.
-1, 1/4, 2
Factor -2*m**4 - 116*m**3 - 220*m**2 + m**4 - 3*m**4 + 28*m - 91*m - 45*m.
-4*m*(m + 1)**2*(m + 27)
Let z(q) be the second derivative of 5*q**6/6 + 9*q**5/4 - 13*q**4/6 - 6*q**3 - 4*q**2 + 28*q + 8. Factor z(c).
(c - 1)*(c + 2)*(5*c + 2)**2
Let q = -1041 + 15616/15. Let r(x) be the third derivative of 0 + 0*x**3 + 0*x**4 + q*x**5 + 0*x - 4*x**2. Factor r(j).
4*j**2
Let h = -272/7 - -39. Let i(g) be the first derivative of 1/7*g**2 + 5 - h*g**4 - 3/35*g**5 + 1/21*g**3 + 0*g. Factor i(m).
-m*(m + 1)**2*(3*m - 2)/7
Factor 52*l - 1700 - 20*l**2 - 1709 - 4*l**3 + 3381.
-4*(l - 1)**2*(l + 7)
Let o(c) be the first derivative of c**7/21 + c**6/15 - c**5/5 - c**4/3 + c**3/3 + c**2 + 12*c + 6. Let f(b) be the first derivative of o(b). Factor f(n).
2*(n - 1)**2*(n + 1)**3
Let w be 2 - (-2 + 4 + -2). Factor 4*v + 39*v**3 - 34*v**2 + 3*v**5 - w*v**2 + 8*v - 18*v**4.
3*v*(v - 2)**2*(v - 1)**2
Let v(b) = 50*b + 453. Let t be v(-9). Let z(c) be the first derivative of -1/7*c + 2/7*c**2 - 4 - 1/7*c**t. Find s such that z(s) = 0.
1/3, 1
Let n(s) be the first derivative of -s**6/75 - 7*s**5/150 + s**4/30 - 2*s**2 - 7. Let l(o) be the second derivative of n(o). Factor l(w).
-2*w*(w + 2)*(4*w - 1)/5
Let r(o) be the third derivative of -o**6/600 + 23*o**5/300 + o**4/120 - 23*o**3/30 - 476*o**2. Factor r(n).
-(n - 23)*(n - 1)*(n + 1)/5
Let c(b) = -40*b - 637. Let d be c(-16). Suppose 0 + 1/6*x**d - 1/3*x - 1/6*x**2 = 0. Calculate x.
-1, 0, 2
Let m = 5836/9735 + 1/1947. Let c be 23/10 + 1/(-2). Suppose c*r**4 - 27/5*r**2 + 9/5*r + 6/5 + m*r**3 = 0. What is r?
-2, -1/3, 1
Let o(z) be the second derivative of -2*z**7/105 - z**6/10 - 2*z**5/15 + 18*z**2 - 23*z. Let m(r) be the first derivative of o(r). Factor m(w).
-4*w**2*(w + 1)*(w + 2)
Let g(d) be the third derivative of -5*d**8/896 - 13*d**7/560 + 61*d**6/320 - 7*d**5/160 - 7*d**4/8 + 5*d**3/4 + 218*d**2. Solve g(o) = 0 for o.
-5, -1, 2/5, 1, 2
Let g(a) = 2*a**3 + a**2 + 5. Let l be g(2). Suppose 8 = -21*z + l*z. Factor -3 + 9/2*y - 3/2*y**z.
-3*(y - 2)*(y - 1)/2
Factor 729/5 - 54/5*j + 1/5*j**2.
(j - 27)**2/5
Let s(o) be the first derivative of -o**5/25 + 7*o**4/20 - o**3 + 9*o**2/10 - 150. Factor s(d).
-d*(d - 3)**2*(d - 1)/5
Let u(t) be the second derivative of -t**5/120 + 13*t**4/24 + 161*t + 2. Factor u(f).
-f**2*(f - 39)/6
Let j(v) be the second derivative of 2/21*v**3 - 2/7*v**2 - 1/140*v**5 + 5*v + 1/84*v**4 + 0. Factor j(f).
-(f - 2)*(f - 1)*(f + 2)/7
Let h(t) be the second derivative of t**6/280 + t**5/20 + 2*t**4/7 + 6*t**3/7 + 6*t**2 + 20*t. Let z(j) be the first derivative of h(j). Factor z(u).
3*(u + 2)**2*(u + 3)/7
Suppose 0 = -26*m + 62*m - 108. Factor 4/9*s**4 + 32/9 - 80/9*s + 8*s**2 - 28/9*s**m.
4*(s - 2)**3*(s - 1)/9
Let u(z) be the third derivative of -z**5/20 + 3*z**4/4 - 112*z**2. Factor u(x).
-3*x*(x - 6)
Let z = -319/1141 + -1/163. Let v = 25/14 + z. Factor -5/2*b + v - b**2.
-(b + 3)*(2*b - 1)/2
Suppose -3*w + 25 = -4*v, 3*v - 3*w + 13 = -8. Let s be ((-5)/(-4))/((-1)/v). Solve 5/9*o**4 - 2/3*o**3 - 1/9*o**s - 2/9*o**2 - 1/3 + 7/9*o = 0 for o.
-1, 1, 3
Let -12/5*k**3 - 32/5*k**2 + 4/5*k**5 - 16/5*k + 8/5*k**4 + 0 = 0. Calculate k.
-2, -1, 0, 2
Let t(q) be the first derivative of -2*q**3/39 + 68*q**2/13 - 134*q/13 - 194. Factor t(d).
-2*(d - 67)*(d - 1)/13
Let q = 40 - 38. Factor 20*r - 4*r**2 + 83 - 68 + 9*r**q.
5*(r + 1)*(r + 3)
Factor 0 + 54/11*q**3 + 8/11*q + 36/11*q**2 + 27/11*q**4.
q*(3*q + 2)**3/11
Let r(t) be the third derivative of 121*t**5/510 + 66*t**4/17 + 432*t**3/17 - 69*t**2. Factor r(v).
2*(11*v + 36)**2/17
Let c = -143/42 - -25/7. Let p = 5/6 - c. Factor 4/3*r + 0 - p*r**2.
-2*r*(r - 2)/3
Let y(j) = j**3 - 16*j**2 - 6*j + 99. Let i be y(16). Suppose 3/5*p + 3/5*p**5 - 12/5*p**4 + 18/5*p**i - 12/5*p**2 + 0 = 0. What is p?
0, 1
Factor 2/23*t**4 + 0 - 2/23*t**2 - 8/23*t**3 + 8/23*t.
2*t*(t - 4)*(t - 1)*(t + 1)/23
Suppose 2*b = -3*b + 25. Factor b*y**4 - 2*y**4 + 3*y**3 - 57 + 57.
3*y**3*(y + 1)
Let b(h) = 16*h**5 - h**4 - 26*h**3 - 29*h**2 - 9*h + 11. Let f(v) = -3*v**5 + 5*v**3 + 6*v**2 + 2*v - 2. Let l(o) = -2*b(o) - 11*f(o). Factor l(w).
w*(w - 2)*(w + 1)**2*(w + 2)
Let j(o) be the first derivative of o**3 + 3/4*o**4 - 15/2*o**2 + 9*o - 17. Suppose j(b) = 0. What is b?
-3, 1
Find o, given that -o**3 + 1/2*o + 1/2*o**5 - 5/2*o**4 - 5/2 + 5*o**2 = 0.
-1, 1, 5
Let d = -1742 - -1744. Determine c, given that -4/5*c**d - 8/5*c - 4/5 = 0.
-1
Let b be (-23 - -21)*(-3 - -1)*1. Factor -2/5 + 3/5*p - 4/5*p**3 + 0*p**b + 1/5*p**5 + 2/5*p**2.
(p - 1)**3*(p + 1)*(p + 2)/5
Let w(c) be the first derivative of 1/5*c**5 + 2 - 8*c**2 - 9/4*c**4 + 0*c + 8*c**3. Factor w(a).
a*(a - 4)**2*(a - 1)
Let u be 12/2*(-3)/(-9). Factor 7*h + 11*h + 5*h**2 - h - u*h.
5*h*(h + 3)
Let v(l) be the first derivative of -9*l**6/10 + 333*l**5/25 + 267*l**4/20 - 139*l**3/5 - 84*l**2/5 + 156*l/5 - 150. Determine n so that v(n) = 0.
-1, 2/3, 13
Let r(s) be the third derivative of s**5/30 - s**4/2 + 5*s**3/3 + 13*s**2 - s. Factor r(b).
2*(b - 5)*(b - 1)
Suppose t + 10*t = 33. Let n be (-3*t/(-6))/(24/32). Factor 1/2*i**n + i + 0.
i*(i + 2)/2
Let b(d) be the second derivative of -d**6/45 - d**5/10 + d**4/9 + 4*d**3/3 + 8*d**2/3 - 141*d. Suppose b(p) = 0. What is p?
-2, -1, 2
Let x(r) = r**3 - r. Let g(y) = -5*y**4 + 7*y**3 + 75*y**2 + 113*y + 50. Let j(v) = g(v) - 2*x(v). Find i such that j(i) = 0.
-2, -1, 5
Suppose 0 = 4*d - 4*g - 144, -3*d + 6*g - g = -102. Suppose -30*u - 45 = -d*u. Factor -2*q + 8/5*q**3 - 4/5*q**2 + 2/5*q**u + 8/5*q**4 - 4/5.
2*(q - 1)*(q + 1)**3*(q + 2)/5
Factor -6*x**3 - 8/3*x**4 + 0 - 4/3*x**2 + 0*x.
-2*x**2*(x + 2)*(4*x + 1)/3
Let i(a) be the first derivative of a**6/90 - 4*a**5/45 - a**4/18 + 8*a**3/9 + 15*a**2/2 - 37. Let w(m) be the second derivative of i(m). Factor w(n).
4*(n - 4)*(n - 1)*(n + 1)/3
What is o in 24*o - 18*o**3 + 10/3*o**4 + 40/3*o**2 - 32/3 = 0?
-1, 2/5, 2, 4
Let z(r) = -4*r**3 - 60*r**2 - 248*r - 192. Let u(v) = 3*v**2 + v - 2. Let a(p) = 12*u(p) - z(p). Factor a(y).
4*(y + 1)*(y + 2)*(y + 21)
Let q(w) = -211*w + 98. Let u(l) = -l**2 - 106*l + 48. Let t(k) = 4*q(k) - 10*u(k). Determine n, given that t(n) = 0.
-22, 2/5
Suppose -3*i - 7 = 4*o, -2*o = -i - 8 - 1. Let -o - 62*b**4 + 5*b - 15*b**2 - 5*b**3 + 77*b**4 + 2 = 0. Calculate b.
-1, 0, 1/3, 1
Let k(x) be the first derivative of 3*x**4/20 - 8*x**3/15 + 3*x**2/10 + 2*x/5 - 9. Factor k(s).
(s - 2)*(s - 1)*(3*s + 1)/5
Let c(a) be the third derivative of -a**5/80 - 7*a**4/32 + a**3 + 317*a**2. Factor c(l).
-3*(l - 1)*(l + 8)/4
Let b(c) be the third derivative of c**6/420 - 13*c**5/210 + 47*c**4/84 - 5*c**3/3 + 2*c**2 + 119*c. Determine f so that b(f) = 0.
1, 5, 7
Let u(h) = -21*h**2 - 42*h + 27. Let s(a) be the second derivative of a**4/4 + a**3 - 2*a**2 - 3*a. Let v(g) = 27*s(g) + 4*u(g). Factor v(n).
-3*n*(n + 2)
Let o(u) be the third derivative of -u**8/336 + u**7/70 - u**6/60 - u**5/30 + u**4/8 - u**3/6 + u**2 - u. Factor o(x).
-(x - 1)**4*(x + 1)
What is l in -2*l**2 - 63 + 25*l + 33 - 3*l**2 = 0?
2, 3
Let b be ((-1)/((-39)/(-82)))/(11/55). Let f = 106/13 - b. Suppose 32*m + 3*m**4 + f*m**3 + 40*m**2 + 16/3 = 0. What is m?
-2, -2/9
Let y = 73 - 71. Suppose -118 + 6*m**2 + 602 - y*m**2 - 88*m = 0. What is m?
11
Suppose 0 = s + s - 6. Let i be (10/(-3) + s)*-18. Let u(q) = -2*q**2 - 7*q + 4. Let k(m) = -7*m**2 - 27*m + 16. Let f(t) = i*k(t) - 22*u(t). Factor f(p).
2*(p - 2)**2
Let a(c) be the third derivati