 - f**5 - 5/3*f**3 - 15/2*f**2. Factor h(z).
-5*(z - 2)*(z - 1)**2*(z + 1)
Let w be (20 - 4) + ((-2294)/4)/37. Let p = 10 + -6. Solve -w*l**3 + l + 3/2*l**p - 3/2*l**2 - 1/2*l**5 + 0 = 0.
-1, 0, 1, 2
Let b(n) be the second derivative of n**8/840 + n**7/420 - n**6/36 + n**5/20 + 10*n**3 - 35*n + 2. Let u(k) be the second derivative of b(k). Factor u(d).
2*d*(d - 1)**2*(d + 3)
Let x(i) be the second derivative of -i**3 - 6*i - 1 + 1/4*i**4 - 9/2*i**2. Factor x(s).
3*(s - 3)*(s + 1)
Let m(a) be the second derivative of -a**5/60 + 47*a**4/12 - 31*a**3/2 + 139*a**2/6 + 64*a - 11. Solve m(c) = 0 for c.
1, 139
Factor -12321/2*z**2 - 111*z - 1/2.
-(111*z + 1)**2/2
Let n(f) be the second derivative of -1/15*f**4 + 0 + 0*f**2 + 3/50*f**5 + 1/30*f**3 - 2/75*f**6 - 34*f + 1/210*f**7. Factor n(o).
o*(o - 1)**4/5
Suppose 123*t - 15 = 120*t. Let c(o) be the third derivative of -1/30*o**6 + 0*o - 19*o**2 + 0*o**3 - 2/15*o**t + 0 + 0*o**4. Solve c(z) = 0.
-2, 0
Let m(r) = 8*r**2 + 10*r + 96. Let q(d) = 85*d**2 + 100*d + 958. Let z(t) = 42*m(t) - 4*q(t). Factor z(y).
-4*(y - 10)*(y + 5)
Suppose w = 2*z - 14, z + 83 = 10*w - 14*w. Let v be ((-11)/(-2) + -5)/(w/(-24)). Suppose 3/5*o**2 + 0 + v*o = 0. Calculate o.
-1, 0
Let b(r) be the second derivative of -r**6/55 - 72*r**5/5 - 70221*r**4/22 - 138338*r**3/11 + 234*r + 2. What is v in b(v) = 0?
-263, -2, 0
Suppose 0*o - o - 3*o = 0. Suppose o = 4*p + 4, 3*p + 9 = 4*w - 10. Factor -21*u**2 - 36*u**4 + 44*u**3 - w*u**2 + 17*u**2.
-4*u**2*(u - 1)*(9*u - 2)
Let w(t) be the second derivative of -5*t**4/12 + 35*t**3/6 + 495*t**2 + 27*t - 10. Factor w(q).
-5*(q - 18)*(q + 11)
Suppose 5*r - 39 = -4*m - 4, -2*m - 4*r = -22. What is z in 3*z**2 + 4*z**2 - m*z**2 + 288*z**3 + 38*z**4 - 318*z**3 - 8*z**5 + 4*z - 6*z**5 = 0?
-2/7, 0, 1
Suppose 4*x - 484 = -3*i, 5*x + 381 = 4*i - 316. Let 216*a**2 + i*a + 429*a**2 + 8 + 237*a**2 = 0. Calculate a.
-2/21
Let k = 160 + -135. Let b be (-12)/10*k/(-15). Factor -1/3*v**3 + 2/3*v**b + 0 + v.
-v*(v - 3)*(v + 1)/3
Let 1/7*t**2 + 37/7*t + 330/7 = 0. Calculate t.
-22, -15
Suppose 21 - 4 = 44*z - 159. Let r(f) be the first derivative of 0*f**2 + 3/8*f**z + 1/3*f**3 + 1/10*f**5 + 0*f - 3. Factor r(a).
a**2*(a + 1)*(a + 2)/2
Suppose 48/5 + 308/5*p + 176/5*p**3 + 454/5*p**2 - 18/5*p**4 = 0. Calculate p.
-1, -2/9, 12
Let t be (15/2)/((-320)/(-128)). Let u(f) = 72*f. Let j be u(4). Factor -200*h - 16 + 74*h**5 - 1960*h**4 - 940*h**2 - 2318*h**t + j*h**3 - 555*h**5 - 205*h**5.
-2*(h + 1)**2*(7*h + 2)**3
Let d = 203 + -198. Let j(x) be the second derivative of -3/80*x**d - 23*x + 0*x**3 + 1/40*x**6 + 0 - 1/8*x**4 + 0*x**2. Factor j(v).
3*v**2*(v - 2)*(v + 1)/4
Let x be (((-333)/(-555))/((-6)/10))/(-2). What is h in -9/2 - 1/2*h**3 + x*h**2 + 9/2*h = 0?
-3, 1, 3
Let v(h) = h**3 + 16*h**2 + 37*h - 23. Let c be v(-13). Suppose -3*x**3 + 3*x**2 + 4*x + x**3 - 8*x + c*x**2 = 0. What is x?
0, 1, 2
Let u = -592 - -594. Suppose -4*r - 2*m = -29 - 93, -2*m = r - 32. Solve r*g**3 + 51*g + 2*g**2 + 80 + 5*g**4 + 3*g**u - 171*g = 0.
-4, 1
Determine a, given that 2/9*a**3 - 512/9*a + 0 + 40/3*a**2 = 0.
-64, 0, 4
Let t(k) be the third derivative of -98*k**2 - 2/15*k**5 + 1/20*k**6 + 0*k + 1/105*k**7 + 0*k**4 + 0*k**3 + 0. Factor t(r).
2*r**2*(r - 1)*(r + 4)
Let a be -12 - (1 - 2)*8. Let v be (-70)/(-14) + a/6*3. Find b, given that 0*b**4 + 0*b**2 + 0 + 0*b + 8/13*b**v - 2/13*b**5 = 0.
-2, 0, 2
Let d(s) be the first derivative of -s**6/1440 - 7*s**5/80 - 147*s**4/32 + 3*s**3 - s - 204. Let g(z) be the third derivative of d(z). Factor g(u).
-(u + 21)**2/4
Let h(s) be the first derivative of s**4/5 - 701*s**3/15 - 1241*s**2/10 + 354*s/5 + 327. Factor h(w).
(w - 177)*(w + 2)*(4*w - 1)/5
Let c(y) be the first derivative of y**6/3 + 172*y**5/15 + 341*y**4/3 + 208*y**3 + 155*y**2/3 - 364*y/3 - 257. Find z, given that c(z) = 0.
-14, -13, -1, 1/3
Let t be (14/24 + 6/(-24))*(-13140)/(-5110). Factor 3/7*w**2 + 3/7 + t*w.
3*(w + 1)**2/7
Let k(w) be the first derivative of -w**5/20 + 3*w**4/2 + 13*w**3/6 - 3*w**2 - 25*w/4 - 992. Let k(d) = 0. Calculate d.
-1, 1, 25
Suppose -12 = -y + 4*u, -14*y + 16 = -11*y - 2*u. Factor 0*w + 2/7*w**5 + 10/7*w**y + 72/7*w**2 - 64/7*w**3 + 0.
2*w**2*(w - 2)**2*(w + 9)/7
Let s = -129 + 61. Let n = s - -67. Let d(z) = -z**3 + z. Let q(v) = -7*v**3 - 18*v**2 - 23*v - 12. Let t(p) = n*q(p) + 4*d(p). Factor t(w).
3*(w + 1)**2*(w + 4)
Let c(u) be the first derivative of -u**6/4140 + 4*u**5/69 - 400*u**4/69 - 10*u**3/3 + 108. Let k(j) be the third derivative of c(j). Factor k(n).
-2*(n - 40)**2/23
Let x(j) be the first derivative of -228152*j**3 - 459/5*j**5 - 6255408*j - 6612*j**4 - 3456936*j**2 - 1/2*j**6 + 132. Factor x(u).
-3*(u + 1)*(u + 38)**4
Let n be ((-4)/24*2)/(1/(-12)). Suppose -2*r + 64 = -2*h, -8*r + n*r + 93 = 3*h. Factor 4 - 26*f**2 - 2*f + 51*f**2 - r*f**2.
-2*(f - 1)*(f + 2)
Let d(c) be the second derivative of c**5/35 - 8*c**4/21 - 2*c**3/21 + 16*c**2/7 - 11*c - 147. Factor d(a).
4*(a - 8)*(a - 1)*(a + 1)/7
Let y(h) be the second derivative of 2*h**4 + 6*h - 9/2*h**2 - 13 - 5/2*h**3. Suppose y(s) = 0. What is s?
-3/8, 1
Factor 25*d - 29/4*d**3 + 65/2*d**2 + 0 + 3/8*d**4.
d*(d - 10)**2*(3*d + 2)/8
Let s(j) be the second derivative of -31*j - 3*j**2 + 1/28*j**4 - 5/14*j**3 + 0. Factor s(b).
3*(b - 7)*(b + 2)/7
Let 21*h - 5*h**2 + 670 - 215 + 4*h**2 - 198 - 157 = 0. Calculate h.
-4, 25
Let c(y) be the second derivative of 0*y**2 - y + 2/15*y**5 + 5/36*y**4 + 11 - 1/6*y**3. Factor c(k).
k*(k + 1)*(8*k - 3)/3
Let x(o) be the third derivative of 0*o**3 + 1/44*o**4 + 0 + 0*o - 1/1155*o**7 - 89*o**2 + 1/132*o**6 - 7/330*o**5. What is l in x(l) = 0?
0, 1, 3
Let m be 1710/100 + (-11)/(-22). Let b(o) be the first derivative of m*o**2 + 224/5*o**3 - 17 + 49*o**4 + 343/25*o**5 + 16/5*o. Factor b(p).
(p + 2)*(7*p + 2)**3/5
Let r(h) be the third derivative of 2*h**6/15 + 41*h**5/15 + 10*h**4 - 168*h**3 + 200*h**2 + 4. Factor r(p).
4*(p + 6)**2*(4*p - 7)
Suppose -184 = -55*j - 53*j + 62*j. Factor 0 - z**2 + 1/2*z**j + 0*z - 1/2*z**3.
z**2*(z - 2)*(z + 1)/2
Let 65*o**4 - 125*o**4 - 12*o**3 + 57*o**4 + 180*o**2 = 0. Calculate o.
-10, 0, 6
Let h be (-5)/(-3) + (-16)/24. Let s(y) = -11*y**3 - 2*y**2 - 2*y + 5. Let f(n) = -2*n**3 - n + 1. Let r(o) = h*s(o) - 5*f(o). Factor r(k).
-k*(k - 1)*(k + 3)
Let z(o) be the third derivative of 0*o - 1/4*o**3 - 7/96*o**4 - 1/240*o**5 - 1 - 96*o**2. What is f in z(f) = 0?
-6, -1
Let m(v) be the third derivative of v**7/840 - v**6/60 + v**5/40 + v**4/12 - 7*v**3/24 - 1298*v**2. What is i in m(i) = 0?
-1, 1, 7
Suppose -5*m + 1287 = 512. Let f = 319 + m. Factor 12*d + f*d**2 + 0 - 12*d**3 + 3*d**4 - 9 - 468*d**2.
3*(d - 3)*(d - 1)**2*(d + 1)
Let x = -3074811/11 + 279531. Find h, given that 4/11*h**3 - 40/11 + 8/11*h - 2/11*h**4 + x*h**2 = 0.
-2, 1, 5
Let d(y) = -82*y**3 + 111*y**2 + 65*y - 60. Let x(l) = -720*l**3 + 1000*l**2 + 585*l - 540. Let f(n) = 35*d(n) - 4*x(n). Find a, given that f(a) = 0.
-1, 1/2, 12
Let n(b) = -9*b**4 + 230*b**3 + 7949*b**2 + 11*b. Let t(f) = 5*f**4 - 114*f**3 - 3975*f**2 - 6*f. Let c(p) = 6*n(p) + 11*t(p). Suppose c(m) = 0. Calculate m.
-63, 0
Let b(i) be the third derivative of -i**2 + 23/30*i**6 + 0*i + 13 - 11/15*i**5 + 1/84*i**8 - 26/105*i**7 + 0*i**3 + 0*i**4. Let b(m) = 0. Calculate m.
0, 1, 11
Factor 3*s**4 + 2*s**2 + 2*s**4 - 19*s**2 + 23*s**2 + 24*s**2 - 720*s + 55*s**3.
5*s*(s - 3)*(s + 6)*(s + 8)
Let r(n) be the first derivative of 0*n + 0*n**5 + 2/9*n**3 - 19 - 7/108*n**4 + 15/2*n**2 + 1/540*n**6. Let d(o) be the second derivative of r(o). Factor d(u).
2*(u - 2)*(u - 1)*(u + 3)/9
Let t(b) be the third derivative of -6*b**5/7 - 181*b**4/42 - 4*b**3/21 + 799*b**2. Solve t(x) = 0.
-2, -1/90
Let k(p) be the second derivative of -p**4/24 - 40*p**3/3 + 1169*p**2/4 - 4723*p. Solve k(r) = 0 for r.
-167, 7
Let c be (-8)/(-6)*69/46. Let h be ((-8)/132)/((c + 3)/(-45)). Factor -h*u**4 + 6/11*u**3 + 0*u + 2/11*u**5 - 2/11*u**2 + 0.
2*u**2*(u - 1)**3/11
Let y(n) = 3*n**2 + 17 + n**2 + 3. Let j(w) be the first derivative of -w**2/2 - w + 3. Let v(a) = 12*j(a) + y(a). Factor v(s).
4*(s - 2)*(s - 1)
Let k be 1*-6 + (-23760)/(-3600). Factor k + 4/5*z + 1/5*z**2.
(z + 1)*(z + 3)/5
Suppose 0 = 7*q - 1165 - 123. What is r in r**2 - 188*r**3