t o(y) be the second derivative of i(y). Factor o(f).
-f*(f + 1)**3/4
Let t be -14 + 5 + (-460)/(-50). Factor -7/5*y - 2/5*y**4 + t*y**5 + 2/5 - 2/5*y**3 + 8/5*y**2.
(y - 1)**4*(y + 2)/5
Suppose 0 = z - 2*z + 2*z. Let t(j) be the third derivative of j**2 + 0*j**4 + 1/140*j**7 + 0 + z*j**3 + 1/120*j**5 + 3/224*j**8 - 1/48*j**6 + 0*j. Factor t(w).
w**2*(w + 1)*(3*w - 1)**2/2
Find z, given that 1460/3*z**2 - 656/3 + 224*z - 504*z**3 + 12*z**4 = 0.
-2/3, 2/3, 1, 41
Let n be 3 - (-1 - 5) - (-1247)/(-145). Factor n + 0*f**2 + 1/5*f**3 - 3/5*f.
(f - 1)**2*(f + 2)/5
Let b(t) be the third derivative of t**8/224 - 3*t**7/20 + 3*t**6/2 - 5*t**5/2 - 2*t**2 + 49*t. Factor b(f).
3*f**2*(f - 10)**2*(f - 1)/2
Let k(g) be the first derivative of 5*g**6/6 + 12*g**5 + 60*g**4 + 320*g**3/3 - 354. Determine j, given that k(j) = 0.
-4, 0
Let w(p) be the third derivative of -2*p**7/105 + 3*p**6/10 - p**5 + 7*p**4/6 - 14*p**2. Factor w(g).
-4*g*(g - 7)*(g - 1)**2
Let g(z) be the first derivative of -z**7/3360 + z**6/1440 + 16*z**3/3 - 15. Let j(f) be the third derivative of g(f). Factor j(x).
-x**2*(x - 1)/4
Let n(r) be the second derivative of r**5/2 + 35*r**4/12 + 35*r**3/6 + 5*r**2 - 119*r. Factor n(p).
5*(p + 1)*(p + 2)*(2*p + 1)
Let h(q) be the third derivative of q**6/60 - q**4/4 - 2*q**3/3 - 25*q**2. Factor h(f).
2*(f - 2)*(f + 1)**2
Factor 69/2*g - 9/2*g**2 + 39.
-3*(g + 1)*(3*g - 26)/2
Let 128/9*v - 28/9*v**4 + 224/9*v**2 + 2/9*v**5 + 0 + 22/3*v**3 = 0. What is v?
-1, 0, 8
Let m(k) = -3*k**3 + 12*k**2 + k - 7. Let b(h) = -3*h**3 + 13*h - 3 + 2*h**3 + 6*h**2 - 12*h. Let d(a) = -7*b(a) + 3*m(a). Factor d(p).
-2*p*(p + 1)*(p + 2)
Let y be (-3825)/(-270)*(14/100)/1. Let g = -26/15 + y. Factor 0 - 1/4*v**2 + 1/4*v**3 + g*v**4 - 1/4*v.
v*(v - 1)*(v + 1)**2/4
Let r be (4 - 1/(-1)) + 8802/1630. Let -28/5*u**5 - 48/5*u + 36/5*u**4 + 76/5*u**3 + 16/5 - r*u**2 = 0. What is u?
-1, 2/7, 1, 2
Let b(l) be the third derivative of 1/48*l**4 + 1/30*l**5 + 5*l**2 + 1/40*l**6 + 1/672*l**8 + 1/105*l**7 + 0*l**3 + 0*l + 0. Factor b(r).
r*(r + 1)**4/2
Let i(k) = 2*k**3 - 2*k**2 + 2*k - 3. Let s be i(2). Let z = s - 5. Factor -2*o**5 + 2*o**3 + z*o**3 + 5*o**2 - o**2 + 0*o**5.
-2*o**2*(o - 2)*(o + 1)**2
Suppose c - 6*c = 3*o + 1, 3*o + 8 = 2*c. Let r(a) = a**2 + a - 1. Let d(z) = -4*z**2 + 6*z**2 + 5*z**2 + 8*z - 6. Let t(y) = c*d(y) - 6*r(y). Factor t(s).
s*(s + 2)
Let l(x) be the first derivative of -x**7/105 + x**6/20 - x**5/15 - 33*x**2/2 - 15. Let w(y) be the second derivative of l(y). Suppose w(d) = 0. What is d?
0, 1, 2
Suppose -392*k - 2/3*k**3 - 5488/3 - 28*k**2 = 0. Calculate k.
-14
Let a(k) be the third derivative of -k**8/80 + 8*k**7/175 + 3*k**6/200 - 4*k**5/25 + k**4/10 - 184*k**2. Determine j so that a(j) = 0.
-1, 0, 2/7, 1, 2
Let s be (-38)/(-12) - 1246/1068. Solve -2*f + 2*f**3 - 4/5*f**s + 4/5 = 0 for f.
-1, 2/5, 1
Let j = -10 + 13. Factor j*w**3 + 127*w**5 + w**2 - 4*w - 2*w**4 + 3*w**2 - 128*w**5.
-w*(w - 1)**2*(w + 2)**2
Suppose 28*r**2 - 198*r - 17 + 166*r - 47 - 4*r**3 = 0. Calculate r.
-1, 4
Let s = 498 - 494. Let j(v) be the first derivative of 1/10*v**5 - 1 - 1/3*v**3 + 0*v**2 + 0*v + 1/8*v**s. Let j(p) = 0. Calculate p.
-2, 0, 1
Let q = -13 + 29. Let l be q/(-12)*-3*1. Find x, given that 4*x**3 - 4 - 2*x**3 + 4 + 2*x**l = 0.
-1, 0
Factor -355*g + 705/2 + 5/2*g**2.
5*(g - 141)*(g - 1)/2
Suppose 4*i = -5*j + 1762, -3*j = 5*i - 2*i - 1059. Find v such that -50*v**3 - 135 - 52*v**2 - j*v + 78*v + 2*v - 5*v**4 - 128*v**2 = 0.
-3, -1
Let c(i) be the second derivative of 2/21*i**3 + 0*i**2 - 1/84*i**4 + 0 + 17*i. Determine r, given that c(r) = 0.
0, 4
Let p = -575 - -579. Let c(h) be the first derivative of 0*h - 2/7*h**3 - 6 + 2/7*h**2 + 1/14*h**p. Suppose c(a) = 0. Calculate a.
0, 1, 2
Solve -1/6*s**2 - 12*s - 216 = 0.
-36
Suppose -8*p + 4*p = -3*l - 69, 5*p + 5*l = 60. What is i in -i**2 - 10 + 0*i**2 + p*i - 4*i**2 + 0 = 0?
1, 2
Let o(t) be the second derivative of t**5/90 + 79*t**4/54 + 533*t**3/9 + 169*t**2 + 465*t. Find s, given that o(s) = 0.
-39, -1
Let d(t) be the second derivative of 5*t**7/28 - 13*t**6/20 + 9*t**5/20 - 1057*t. Factor d(v).
3*v**3*(v - 2)*(5*v - 3)/2
Suppose -31 = -4*p + 3*v, 0 = -p - 5*v + 8*v + 1. Let f be p*(-4 - (-44)/12) - -4. Solve 4/15*u**4 + 0*u**2 + 2/3*u - f*u**3 - 4/15 = 0 for u.
-1, 1/2, 1, 2
Let b be -2 - 14/4*(-104)/182. Let -2/5*i**3 + 0 + b*i - 4/5*i**4 + 0*i**2 - 2/5*i**5 = 0. Calculate i.
-1, 0
Let u = 49 - 393/7. Let w = -222/35 - u. Factor 1/5*g**5 + 0 + 8/5*g**3 + 0*g + w*g**2 + g**4.
g**2*(g + 1)*(g + 2)**2/5
Let f be ((-2)/6)/(10/(-3)). Let u(l) be the first derivative of 2/15*l**3 - f*l**4 + 5 + 0*l + 0*l**2. Let u(i) = 0. What is i?
0, 1
Suppose 4*w + 3*w = 3*w. Suppose 5*g - 5*q - 5 = w, 0 = 3*g - 4*g + 5*q + 5. Factor -2/11*t**3 + 0*t + 0*t**2 + 2/11*t**5 + 0*t**4 + g.
2*t**3*(t - 1)*(t + 1)/11
Let z be (2 + (-11)/(-2))/(18/24). Factor 40*o**2 + 41*o**4 - 42*o**3 - 28*o**3 - 5*o**5 + z*o**3 - 11*o**4.
-5*o**2*(o - 2)**3
Let r(d) be the second derivative of d**4/48 + 31*d**3/24 - 340*d - 2. Determine w, given that r(w) = 0.
-31, 0
Let k(d) be the second derivative of -14*d**5/15 - 41*d**4/9 - 50*d**3/9 + 4*d**2/3 + 185*d. Suppose k(w) = 0. Calculate w.
-2, -1, 1/14
Let d be 9 - (9 - (10 - 5)). Let c(o) be the second derivative of 1/16*o**3 + 0*o**4 - 1/160*o**d + 1/8*o**2 + 0 + 7*o. Determine j so that c(j) = 0.
-1, 2
Let a = 172 - 169. Let t(m) be the third derivative of 0*m - 2*m**2 + 0*m**5 - 1/40*m**4 + 1/600*m**6 + 1/15*m**a + 0. Let t(j) = 0. Calculate j.
-2, 1
Let h = 316/145 + 96823/1015. Let r = h - 95. Suppose 2*l**3 + 0 - r*l**2 + 4/7*l = 0. What is l?
0, 2/7, 1
Suppose 0 = -2*x + 3*z - 11, -5*x - 3*z + 35 = 2*z. Let k be 1/(6/(-9)*13/(-26)). Suppose 0 + 2/5*f**4 - 6/5*f**k - 2/5*f + 6/5*f**x = 0. What is f?
0, 1
Factor -6/5*r**3 + 0 - 2*r - 2/5*r**4 + 18/5*r**2.
-2*r*(r - 1)**2*(r + 5)/5
Let i be (-1 - -2)*(1 + 4). Let d = -2 + i. Factor -3*r**d - r**3 - 3*r**3 + r + 6*r**3.
-r*(r - 1)*(r + 1)
Let y(s) be the second derivative of 9/40*s**5 + 0 + 1/4*s**4 - 1/28*s**7 - 9*s + 0*s**2 + 0*s**6 + 0*s**3. Let y(b) = 0. Calculate b.
-1, 0, 2
Let x(a) be the second derivative of -a**5/480 + a**3/12 - 5*a**2/2 + 4*a. Let g(y) be the first derivative of x(y). Determine s so that g(s) = 0.
-2, 2
Let x = -281 - -179. Let g be (-136)/x*(-1)/(-3). What is q in 2/9*q**3 - 4/9 + g*q**2 - 2/9*q = 0?
-2, -1, 1
Let x(u) = u**3 - 9*u**2 + 6. Let j be x(9). Factor 10*a**4 + 8 - 8 + 2*a**2 - 6*a**2 + j*a**3.
2*a**2*(a + 1)*(5*a - 2)
Let h = -20 - -25. Suppose -10 = -h*x - 3*l, -x - 6 = -4*x + 2*l. Suppose -3*i - 4*i**2 - 2*i**2 - i**x + i**2 + 3 = 0. Calculate i.
-1, 1/2
Let j be 4/(-6)*(-21 - -27). Let w be j/(-4) + 0 + (9 - 8). Factor 0 + 8/7*q - 2/7*q**w.
-2*q*(q - 4)/7
Let b(w) be the second derivative of -w**5/160 - w**4/48 - w**3/48 + 5*w**2/2 - 17*w. Let g(d) be the first derivative of b(d). Factor g(j).
-(j + 1)*(3*j + 1)/8
Let x = 469 - 3261/7. Let z = -96/35 + x. Factor -4/5*v - z*v**2 - 2/5.
-2*(v + 1)**2/5
Solve a**3 - 1561*a + 27*a**3 + 20*a**4 + 1545*a - 32*a**2 = 0.
-2, -2/5, 0, 1
Let c = -49577/9 + 5509. Factor 8/9 + c*f**3 - 8/9*f**2 - 4/9*f.
4*(f - 2)*(f - 1)*(f + 1)/9
Let l be 21/(-2)*(5616/(-364))/54. Determine x, given that -200/9*x - 14*x**l - 442/9*x**2 - 8/3 = 0.
-3, -2/7, -2/9
Let n(t) = -2*t - 2. Let u be n(-6). Let f be (-4)/u - 6/(-15). Suppose 2/5*b**3 + 0*b + 0*b**4 + 0*b**2 - 2/5*b**5 + f = 0. Calculate b.
-1, 0, 1
Suppose -4*v - 1 = u - 10, -5*u - 3 = -4*v. Let z(h) = -h**2 + h + 1. Let j(g) = g**3 - 2*g**2 + g + 2. Let f = 2 - 4. Let q(b) = f*z(b) + u*j(b). Factor q(k).
k*(k - 1)*(k + 1)
Let o(j) be the first derivative of -3*j**5/25 - 21*j**4 - 277*j**3/5 - 207*j**2/5 + 78. Factor o(z).
-3*z*(z + 1)**2*(z + 138)/5
Let f(t) = -4*t**2 - 12*t - 26. Let z(l) = 4*l**2 + 14*l + 25. Let q(p) = 5*f(p) + 6*z(p). Determine r so that q(r) = 0.
-5, -1
Let b = 98/145 - 8/29. Let d be (-6)/(-9) - 16/60. Determine i so that 4/5 + b*i - d*i**2 = 0.
-1, 2
Find b, given that 7921/2 + 89*b + 1/2*b**2 = 0.
-89
Find x, given that -128/7*x**2 + 0 + 2/7*x**3 + 0*x = 0.
0, 64
Factor 0 + 3/2*h + 1/6*h**2.
h*(h + 9)/6
Let d(g) = 2*g**2 - 27*g + 55. Let n be d(11). Let k(j) be the first derivative of 0*j**2