 3/8*t**4 + 3/8*t - d*t**5 + 1/4*t**2 + 1/8.
-(t - 1)*(t + 1)**4/8
Factor 153664/5 - 784/5*m + 1/5*m**2.
(m - 392)**2/5
Let h be (1*11 - 7650/720)*8/12. Factor -1/2*r - 3/4 + h*r**2.
(r - 3)*(r + 1)/4
Factor 8*y**3 - 24*y - 270*y**4 + 598*y**4 - 20*y**2 - 324*y**4.
4*y*(y - 2)*(y + 1)*(y + 3)
Let k be ((-7)/(-28))/((-2)/8) - 5568/(-1392). Factor 0 + 0*x - 1/6*x**k + 1/2*x**2.
-x**2*(x - 3)/6
Let r(u) be the second derivative of -u**4/12 + 220*u**3/3 - 24200*u**2 - 679*u. Factor r(d).
-(d - 220)**2
Let g(x) be the first derivative of -2*x**6/3 + 32*x**5/5 + 3*x**4 - 88*x**3/3 - 32*x**2 + 102. Find f such that g(f) = 0.
-1, 0, 2, 8
Let t = 83 - 57. Suppose 3*z = -2*x + t, 5*x = -4*z - 12 + 56. Find i, given that 20*i**5 + 48*i**4 + 12*i**5 + 12*i**3 - z*i**5 - 5*i**5 = 0.
-2, -2/7, 0
Let d(l) be the third derivative of -l**8/80 - 41*l**7/1050 - 19*l**6/600 + l**5/300 + 3358*l**2. Factor d(h).
-h**2*(h + 1)**2*(21*h - 1)/5
Let l = -609 - -618. Factor -25*a**4 + 15 - 26*a + 0*a**5 + 13*a**3 - 10*a**2 - l*a + 20*a**2 + 5*a**5 + 17*a**3.
5*(a - 3)*(a - 1)**3*(a + 1)
Let t(s) = 2*s**2 - s - 1. Let c(i) = -i**3 + 12*i**2 + 24*i - 35. Let k(r) = c(r) - 5*t(r). Factor k(d).
-(d - 6)*(d - 1)*(d + 5)
Let n be 2 - (12 + (10 - 20)). Let z(h) be the third derivative of n*h**4 + 0*h - 1/10*h**3 + 0 + 1/100*h**5 + 16*h**2. Suppose z(k) = 0. Calculate k.
-1, 1
Let o(i) = 3*i**3 - 12*i**2 + 2*i + 2. Suppose 310*m = 315*m - 15. Let s(t) = 4*t**3 - 12*t**2 + 3*t + 3. Let w(h) = m*o(h) - 2*s(h). Factor w(k).
k**2*(k - 12)
Solve -876/7*n**2 + 1600/7 + 640/7*n - 2/7*n**4 + 82/7*n**3 = 0.
-1, 2, 20
Let f(r) be the first derivative of 4/9*r**3 - 85 + 112/3*r + 58/3*r**2. Factor f(i).
4*(i + 1)*(i + 28)/3
Let c = 145097/8 + -18168. Let r = c - -31. What is j in -1/4 - 3/8*j - r*j**2 = 0?
-2, -1
Let n(q) = -6*q**2 - 176*q - 368. Let j(s) = -7*s**2 - 177*s - 376. Let l(g) = 4*j(g) - 5*n(g). Factor l(o).
2*(o + 2)*(o + 84)
Let r(n) be the second derivative of n**7/14 + 53*n**6/6 + 2104*n**5/5 + 28414*n**4/3 + 94360*n**3 + 88200*n**2 - 10*n + 1. Let r(t) = 0. What is t?
-30, -14, -1/3
Let m be 0 - ((-16)/((-16)/13) - (-580)/(-40)). Solve -36 + 3*c + m*c**2 = 0.
-6, 4
Let v = 1/2538 - -194/44415. Let d(c) be the third derivative of 0*c - 1/420*c**6 - 14*c**2 + 0 + 0*c**4 + v*c**5 + 0*c**3. Factor d(s).
-2*s**2*(s - 1)/7
Let s(i) = i**3 - 4*i**2 + 2*i + 5. Let p be 6/3 - (0 - -2)/(-2). Let d be s(p). Let 2*f**d - 7*f**2 + 11 + 14 + 20*f = 0. Calculate f.
-1, 5
Let d(s) = 2*s**3 - 28*s**2 + 8*s + 5. Let z be d(12). Let y be (2/(-6))/(z/1140). Factor -1/5*b**3 - 8/5 + y*b + 2/5*b**2.
-(b - 2)**2*(b + 2)/5
Determine y, given that -16*y**4 - 28*y**3 + 29*y - 86*y**2 + 88*y**2 + 13 - 25 - y**5 + 12 + 14 = 0.
-14, -1, 1
Let b(i) = 16*i**3 + 2*i**2 - 2*i + 1. Let o be b(1). Suppose o = 11*z - 27. Factor 464 - 4*n**4 - z*n**5 - 464.
-4*n**4*(n + 1)
Factor 449305008537856 + 127180896*l**2 - 150544921922*l + l**4 - 476*l**3 - 239815641534*l - 2888*l**3 - 14322*l**3 - 730*l**3.
(l - 4604)**4
Let r be (-4)/(-1) + 0*5/20. Factor 43 + 29 - 8*a**2 + r*a**3 - 187*a + 351*a - 200*a.
4*(a - 3)*(a - 2)*(a + 3)
Let z(p) be the third derivative of -1/120*p**6 - 33*p**2 - p + 0*p**3 + 1/30*p**5 - 1/210*p**7 + 0*p**4 + 0. Factor z(r).
-r**2*(r - 1)*(r + 2)
Let o(g) be the first derivative of 1/9*g**6 + 13/15*g**5 + 0*g + 7/3*g**4 + 139 + 0*g**2 + 20/9*g**3. Factor o(h).
h**2*(h + 2)**2*(2*h + 5)/3
Suppose -40 = -687*u + 679*u. Let c(l) be the third derivative of -1/40*l**u + 0*l - 1/240*l**6 + 0 - 5/12*l**3 + 12*l**2 + 3/16*l**4. Factor c(p).
-(p - 1)**2*(p + 5)/2
Let n be (4116/(-26068))/(4/(-38)). Suppose 12 = -0*l + 2*l. Factor 6*m - n*m**2 - l.
-3*(m - 2)**2/2
Let a = 849147 + -849145. Factor 85/3*g**3 + 0*g + 5/3*g**4 + 0 + 0*g**a.
5*g**3*(g + 17)/3
Let u be 186/10 + (-18)/(-45). Suppose 4*h + 7 - u = 0. Factor -16*g**4 - 44*g**3 + h*g - 18*g**2 + 3*g**2 - 5*g**2 + 5*g.
-4*g*(g + 1)*(g + 2)*(4*g - 1)
Suppose 0*k - 31*k = -30504. Let c = k + -2950/3. Let -2*a + c*a**2 + 4/3 = 0. Calculate a.
1, 2
Suppose 4*x = 5*h - 7*h + 1356, -4*h - 3*x + 2717 = 0. Suppose 12*g + 75*g**2 + 8*g + h - 5*g**4 - 780 + 10*g**3 = 0. What is g?
-2, 1, 5
Suppose 3*s = s + 94. Let q = -45 + s. Suppose 0 - 31*b**q + 8 - b**3 - 12*b + 37*b**2 = 0. What is b?
2
Let a(q) = q**2 - 16*q + 50. Let g be a(4). Determine n, given that -66*n - 92*n**2 - 82*n**g + 171*n**2 = 0.
-22, 0
Let c(f) be the second derivative of 2*f**7/21 - 46*f**6/15 - 2*f**5/5 + 46*f**4/3 + 2*f**3/3 - 46*f**2 + 72*f. Let c(h) = 0. What is h?
-1, 1, 23
Let l be (162/45)/(2/70). Let r be (-28)/l - 868/(-18). Solve 14*d**3 + 9*d**3 - 80*d**3 + 21*d**4 + 97*d**2 - r*d + 12 - 22*d**2 - 3*d**5 = 0 for d.
1, 2
Let n = 206 - 138. Let x be (n/24)/((-14)/(-63)). Determine a, given that 0 - x*a**2 - 3/2*a = 0.
-2/17, 0
Let c(n) = 16*n**2 + 10*n - 94. Let v be c(6). Let p(r) = r**3 - r**2 - 7*r + 6. Let a be p(4). Factor -528*t**2 - 2*t**3 + 3*t**4 + 12 - 5*t**4 + a*t + v*t**2.
-2*(t - 3)*(t + 1)**2*(t + 2)
Solve -1491*b + 2065 + 3867*b**2 - 3887*b**2 - 554*b = 0.
-413/4, 1
Let i be 57*4/228 - (-1)/3. Factor -2/3*c**2 - 2/3 + i*c**3 - 5/3*c + 1/3*c**5 + 4/3*c**4.
(c - 1)*(c + 1)**3*(c + 2)/3
Let n = -833 - -821. Let o(l) = 18*l + 218. Let c be o(n). Factor -k + 11/2*k**c + 0.
k*(11*k - 2)/2
Let j(y) be the third derivative of y**7/30 + 229*y**6/60 + 165*y**5 + 8591*y**4/3 - 21296*y**3/3 - 1513*y**2. Let j(g) = 0. What is g?
-22, 4/7
Let l(f) be the third derivative of -83*f**2 + 1/60*f**5 + 1/600*f**6 + 7/120*f**4 + 1/10*f**3 + 0 + 0*f. Determine h so that l(h) = 0.
-3, -1
Let s(x) be the second derivative of 5*x**4/96 - 959*x**3/48 - 12*x**2 - 497*x + 3. Factor s(q).
(q - 192)*(5*q + 1)/8
Determine t so that 6*t**3 - t**5 + t**4 + 5*t**3 - 21*t**2 - 18*t - 3*t**4 + 30*t**2 + t**4 = 0.
-3, -2, 0, 1, 3
Let h(f) be the first derivative of -f**6/24 - 5*f**5/12 + 35*f**4/12 + 22*f**2 + 4. Let l(k) be the second derivative of h(k). Factor l(s).
-5*s*(s - 2)*(s + 7)
Suppose t - 3*k + 33 = 0, 3*t + 20*k = 23*k - 27. Factor -31/2*h + 1/4*h**4 - 21/4 - 9/2*h**t - 15*h**2.
(h - 21)*(h + 1)**3/4
Let k(y) be the first derivative of 0*y - 3/2*y**3 - 3/2*y**2 + 63/8*y**4 - 15/2*y**5 + 71 + 9/4*y**6. Factor k(t).
3*t*(t - 1)**3*(9*t + 2)/2
Let y(p) be the second derivative of -p**6/450 - 3*p**5/25 + 4*p**4/3 - 43*p**3/6 - 99*p. Let d(g) be the second derivative of y(g). Solve d(s) = 0.
-20, 2
Let l(x) = -2*x - 18. Let p be l(-5). Let o(j) = 9*j**2 + 13*j + 10. Let t(y) = -14*y**2 - 20*y - 16. Let a(n) = p*o(n) - 5*t(n). Let a(z) = 0. Calculate z.
-2, 0
Suppose 66*n**3 - 57*n**3 - 7*n**3 + 202*n + 104*n**2 + 100 = 0. Calculate n.
-50, -1
Factor 1/6*k**3 - 17*k**2 - 2500/3 + 450*k.
(k - 50)**2*(k - 2)/6
Let d(b) be the first derivative of b**4/28 + 6*b**3/7 + 118*b - 65. Let v(m) be the first derivative of d(m). Factor v(y).
3*y*(y + 12)/7
Let g(y) be the first derivative of y**4/10 + 84*y**3/5 - 129*y**2/5 - 508*y/5 + 1667. Determine p so that g(p) = 0.
-127, -1, 2
Factor -493 - 95*d**2 + 49*d**2 + 41*d**2 + 30*d + 1743 - 105*d.
-5*(d - 10)*(d + 25)
Let g(i) = i**2 - 32*i + 246. Let k(o) be the third derivative of -5*o**3/6 - 77*o**2. Let j(l) = 5*g(l) - 10*k(l). Factor j(w).
5*(w - 16)**2
Let t(k) be the first derivative of 2*k**3/3 + 389*k**2 - 780*k + 6361. Let t(q) = 0. Calculate q.
-390, 1
Find p such that -200/7*p**2 - 131/7*p**3 + 0 + 68/7*p - p**4 = 0.
-17, -2, 0, 2/7
Suppose -10 = 9*b - 28. Suppose -28*a = -27*a - 4*g - 8, 4*a + g = -2. Factor a - 9*k - 3/2*k**3 + 15/2*k**b.
-3*k*(k - 3)*(k - 2)/2
Let w(u) = u**4 + 9*u**3 + 7*u**2 + 5*u + 4. Let x(h) = h**4 + 12*h**3 + 9*h**2 + 7*h + 6. Let d(b) = -3*w(b) + 2*x(b). Factor d(n).
-n*(n + 1)**3
Let z(g) be the first derivative of 45/4*g**4 + 39*g**3 - 211 + 36*g + 3/5*g**5 + 111/2*g**2. Find x, given that z(x) = 0.
-12, -1
Let j = 163055 - 815273/5. Factor 0 + 4/15*u**2 + 2/15*u**4 + 0*u + j*u**3.
2*u**2*(u + 1)*(u + 2)/15
Let l be ((-23046)/(-360))/23 + (-360)/160. Solve -2/5*y + 26/15*y**2 - l*y**3 + 0 = 0 for y.
0, 1/4, 3
Let h(t) = -121*t**2 - 40*t - 7*t**3 + 84*t + 45*t + 55*t - 68 + 68*t. Let r(o) = 2*o**3 + 40*o**2 - 71*o + 23. Let m(f) = -3*h(f) - 8*r(f). Factor m(v).
(v - 1)*(v + 10)*(5*v - 2)
Suppose -4*x + 1