9*y + 1/6*y**4 - 1/10*y**5. Factor k(s).
-2*s**2*(s - 1)
Let p(m) = m**2 - 2*m + 1. Let g(s) = -12*s**2 + 15*s + 6. Let r(q) = -14*q**2 + 15*q + 5. Let c(z) = 6*g(z) - 5*r(z). Let l(d) = -2*c(d) - 6*p(d). Factor l(b).
-2*(b + 2)*(b + 7)
Let i(t) be the second derivative of -t**7/42 + t**6/15 + t**5/20 - t**4/6 + 1190*t. Factor i(m).
-m**2*(m - 2)*(m - 1)*(m + 1)
Suppose -189*d - 305 = -305. Let k(q) be the third derivative of d - 1/40*q**6 - 3/2*q**3 + 0*q - 26*q**2 - 7/8*q**4 - 1/4*q**5. Factor k(f).
-3*(f + 1)**2*(f + 3)
Let w be (-138)/(-1656)*1*24. Determine q so that -4*q + 2/3*q**w + 16/3 = 0.
2, 4
Let d(f) be the first derivative of -5329/4*f**2 + 15 + 389017/6*f - 1/24*f**4 + 73/6*f**3. Factor d(b).
-(b - 73)**3/6
Let x(t) = 2*t**4 + t**3 - 3*t**2 + t + 1. Let n(k) = 20*k**4 + 15*k**3 + 9*k**2 + 47*k + 11. Let z(d) = 2*n(d) - 22*x(d). Solve z(v) = 0.
-3, -1, 0, 6
Let h(r) = 3*r**2 + r - 4. Let k(w) = -24*w**2 - 1605*w + 212304. Let p(y) = 9*h(y) + k(y). Factor p(z).
3*(z - 266)**2
Let y(f) be the third derivative of 1/4*f**5 + 0*f - 5/12*f**6 - 10/3*f**3 + 5/2*f**4 + 32*f**2 + 1/14*f**7 + 0. Suppose y(t) = 0. Calculate t.
-1, 1/3, 2
Let j be (-1)/28*(16 + -24). Let c(l) be the first derivative of -27 + j*l**2 + 0*l + 2/21*l**3. What is d in c(d) = 0?
-2, 0
Let d(w) be the second derivative of -w**6/15 + 12*w**5/5 - 7*w**4/2 - 46*w**3/3 - 875*w. Find f, given that d(f) = 0.
-1, 0, 2, 23
Let x(p) be the first derivative of 31*p**3/7 + 14781*p**2/14 - 954*p/7 - 1991. Factor x(q).
3*(q + 159)*(31*q - 2)/7
Suppose -648 + 234*x**2 + 3/2*x**4 + 378*x + 69/2*x**3 = 0. Calculate x.
-12, -6, 1
Determine b, given that 945/2*b**2 + 472*b + 1/4*b**4 + 629/4 + 158*b**3 = 0.
-629, -1
Let j = 3 - 7. Let u(d) = -d**2 - 4*d + 2. Let v be u(j). Factor 0*r + 6*r - 4*r**v + 10 - 10*r - 2.
-4*(r - 1)*(r + 2)
Let o be ((-33384)/27820)/(1/(870/(-14))). Find u such that -o*u**2 - 3/7*u**3 - 30276/7*u - 585336/7 = 0.
-58
Let b(i) be the second derivative of -1/25*i**5 + 84*i - 1/75*i**6 - 36/5*i**2 + 4/5*i**3 + 11/30*i**4 + 0. Factor b(o).
-2*(o - 2)**2*(o + 3)**2/5
Find d, given that -59*d**2 - 1086*d**4 + 6*d**3 + 1091*d**4 + 31*d**2 - 156*d**2 + 138*d + 35 = 0.
-7, -1/5, 1, 5
Let z(p) be the first derivative of 0*p**4 - 1/24*p**6 - 40 + 0*p**2 + 0*p**5 + 0*p + 0*p**3. Find r such that z(r) = 0.
0
What is y in -500/3*y + 1/3*y**2 + 62500/3 = 0?
250
Let x(t) be the second derivative of 25*t**7/42 + 97*t**6/6 + 2911*t**5/20 + 7283*t**4/12 + 3824*t**3/3 + 1408*t**2 + 1482*t. What is p in x(p) = 0?
-11, -16/5, -1
Let p(s) = -16*s - 3. Let l be p(1). Let n be l - -21 - 20*-1. What is v in 0*v**3 + 106*v**2 - 62*v**3 - 60 + 96 + 8*v**5 - n*v**4 + 174*v = 0?
-2, -1, -1/4, 3
Let w be (18 + (-2157)/120)/((-2)/(-555)). Let m = 115/16 - w. Determine x, given that 1/2*x + m*x**3 + 0 - 3/4*x**2 = 0.
0, 1, 2
Suppose -4*v = -0*v. Let r(l) = 13*l**2 + 4*l - 7. Let g be r(2). Factor 50 + 3*p**2 - g + v*p**2.
3*(p - 1)*(p + 1)
Let i(m) be the first derivative of 3*m - 22 + 8/3*m**3 - 9/2*m**2 + m**4. Let p(n) = n + 1. Let d(y) = i(y) - 3*p(y). Find s such that d(s) = 0.
-3, 0, 1
Let u be ((-61)/(-488) - 21/24)*(-16)/3. Factor -10*j**3 - 25/4 - 20*j - 45/2*j**2 - 5/4*j**u.
-5*(j + 1)**3*(j + 5)/4
Let y = -659 - -664. Suppose y*b = 2*t - 29, -2*t - 13*b + 16*b = -19. Suppose -2*d**t - d + 9/4*d**4 + 0 + 3/4*d**3 = 0. What is d?
-2/3, 0, 1
Suppose -79*u + 84*u = 30. Suppose 0 = n - j - 28, -3*n - u*j + 5*j + 92 = 0. Factor n*r**2 + 14*r**3 - 2*r**3 + 7*r**4 + 20*r + 5 - 2*r**4 + 8*r**3.
5*(r + 1)**4
Let k = 2806 - 2804. Let y(r) be the second derivative of 3*r**k - 4/3*r**3 + 0 + 1/6*r**4 - 13*r. Factor y(z).
2*(z - 3)*(z - 1)
Let c be 53/11 - (3 - 105/33). Let d be 20/(-10) - ((-1 - c) + 1). Solve -5*g**d + 3*g**3 - g + 10*g + 12 + 5*g = 0 for g.
-2, -1, 3
Let f be (-11 - 530/(-60)*2)*(-4)/(-20). What is u in 2/9*u**2 - 14/9*u + f = 0?
1, 6
Let a(v) be the first derivative of v**6/90 + v**5/30 + 32*v**3/3 + 16. Let o(s) be the third derivative of a(s). Factor o(b).
4*b*(b + 1)
Suppose -9*i**5 - 12846*i - 7184*i**2 - 222*i + 384*i**4 - 7239*i**3 - 34495*i**2 + 171*i**4 = 0. Calculate i.
-4, -1/3, 0, 33
Let o be 7 + ((-21)/((-6)/2) - 152/12). Let i(h) be the first derivative of -17 + o*h**3 + 2*h**2 - 8*h. Let i(q) = 0. Calculate q.
-2, 1
Let f = -36888 - -4094651/111. Let n = 40/37 - f. Factor 0 + 0*g**2 - 2/3*g**3 - g**4 + 0*g - n*g**5.
-g**3*(g + 1)*(g + 2)/3
Let s(j) be the third derivative of -j**8/35280 + j**7/8820 + 11*j**5/4 + 9*j**2 - j. Let i(f) be the third derivative of s(f). Factor i(d).
-4*d*(d - 1)/7
Let h = 9814657/739 - 13281. Let k = h - -1500/8129. Let -4/11*z**2 - k*z**3 - 2/11*z + 0 = 0. What is z?
-1, 0
Let w(v) be the third derivative of -85*v**2 + 5/2*v**3 + 0 + 1/6*v**5 - 5/42*v**7 + 0*v - 35/24*v**4 + 1/4*v**6 + 5/336*v**8. Factor w(q).
5*(q - 3)*(q - 1)**3*(q + 1)
Factor 8/3*s - 5/3*s**2 + 16/3 - 1/2*s**3.
-(s - 2)*(s + 4)*(3*s + 4)/6
Let z(a) = 9*a**2 - 3409*a + 4. Let h(m) = -8*m**2 + 3408*m - 3. Let r(x) = -4*h(x) - 3*z(x). Let r(s) = 0. What is s?
0, 681
Let t be (1 - 2 - -2) + -4. Let u be (-624)/(-40) + t/5. What is x in -45*x**2 + u*x**2 - 7*x + 24*x**3 - 13*x + 40 - 5*x**4 + x**3 = 0?
-1, 2
Let u(q) = 2106 + 2*q - 104*q - 2612 - 25*q. Let l be u(-4). Factor 6*b**l + 9 + 3/2*b**3 - 33/2*b.
3*(b - 1)**2*(b + 6)/2
Let a(q) be the second derivative of 0 + 5/36*q**6 + 5/12*q**2 - 5/12*q**5 + 25/36*q**4 - 25/36*q**3 - 5/252*q**7 - 132*q. What is j in a(j) = 0?
1
Let y(v) be the third derivative of -v**6/320 + v**5/160 + 5*v**4/64 + 3*v**3/16 + 10*v**2 - 44*v. Factor y(j).
-3*(j - 3)*(j + 1)**2/8
Let k(p) be the third derivative of p**8/4480 - p**6/192 + p**4/16 - 6*p**3 + 17*p**2 + p. Let j(c) be the first derivative of k(c). Find a such that j(a) = 0.
-2, -1, 1, 2
Let a(c) be the second derivative of -c**8/8960 - c**7/20160 + c**6/960 + c**5/960 + 28*c**4/3 - 124*c. Let m(z) be the third derivative of a(z). Factor m(v).
-(v - 1)*(v + 1)*(6*v + 1)/8
Let a(u) be the first derivative of u**7/175 + 23*u**6/600 - 7*u**5/40 + u**4/10 - 203*u**3/3 - 289. Let w(d) be the third derivative of a(d). Factor w(n).
3*(n - 1)*(n + 4)*(8*n - 1)/5
Determine o so that -3872/3 - 467/2*o**2 - 424/3*o**3 - 32/3*o**4 + 4664/3*o = 0.
-8, 11/8
Let l(f) = f + 1. Let r(j) = 5*j**4 + 70*j**3 + 180*j**2 + 200*j + 85. Let t(p) = -30*l(p) + r(p). Factor t(k).
5*(k + 1)**3*(k + 11)
Suppose 9*f**4 + 96 + 27*f**2 + 26*f**2 + 23*f**2 - 16*f**3 + 184*f - 13*f**4 = 0. What is f?
-6, -1, 4
Let j(w) be the second derivative of -w**4/6 - 26*w**3/3 + 27*w**2 - 6*w + 542. Let j(n) = 0. Calculate n.
-27, 1
Let p be (-1 + (-10)/8)/(9/(-12)). Determine n, given that -23 - 33*n + p*n**2 - 11 + 4 - 6 = 0.
-1, 12
Let z(h) be the second derivative of 2/15*h**6 - 4*h**2 - h**4 + 0 - 10/3*h**3 + 104*h + 1/5*h**5. Let z(j) = 0. Calculate j.
-1, 2
Let m(x) be the third derivative of 13/24*x**6 + 0*x + 47/48*x**5 - 31/168*x**7 - 35/12*x**4 - 10/3*x**3 - 22*x**2 + 5/336*x**8 + 0. Solve m(n) = 0.
-1, -1/4, 1, 4
Let t = -1734007/4 + 433503. Factor -t*o**2 + 75/4*o - 65/2.
-5*(o - 13)*(o - 2)/4
Let q = -29964/7 + 269732/63. Find k such that -10/9 - q*k + 2/9*k**2 = 0.
-1, 5
Suppose -77 = -9*k - 50. Factor 16*w - 52749 - 4*w**k + 52749.
-4*w*(w - 2)*(w + 2)
Let s = 1217098/1521335 + -6/304267. Factor -84/5 + 88/5*q - s*q**2.
-4*(q - 21)*(q - 1)/5
Factor -28/5*r + 24/5*r**2 + 4/5*r**3 - 48.
4*(r - 3)*(r + 4)*(r + 5)/5
Let h(r) be the second derivative of 3*r**5/80 + 21*r**4/4 - r**3/8 - 63*r**2/2 - 411*r. Let h(k) = 0. Calculate k.
-84, -1, 1
Let l(i) be the second derivative of i**5/4 + 255*i**4/4 + 1880*i**3 + 21920*i**2 + 8071*i. Factor l(r).
5*(r + 8)**2*(r + 137)
Let h(x) be the first derivative of -x**4 + 32*x**3/3 + 2*x**2 - 32*x - 1164. Factor h(f).
-4*(f - 8)*(f - 1)*(f + 1)
Factor -5851*l**2 + 17543*l**2 - 6*l - 5846*l**2 + 144 - 5849*l**2.
-3*(l - 6)*(l + 8)
Factor -2/3*x**3 - 70*x + 2352 - 68/3*x**2.
-2*(x - 8)*(x + 21)**2/3
Factor 134361*p - p**5 - 112*p**2 + 92*p**3 - 32*p**4 - 134313*p + 5*p**5.
4*p*(p - 3)*(p - 2)**2*(p - 1)
What is a in -2/11*a**4 - 104/11*a**3 - 98/11 - 300/11*a**2 - 296/11*a = 0?
-49, -1
Suppose 5*l + 4*g = 17, 23*l = 27*l + 5*g - 19. Let d be (-4)/54*-9*(l - -2). What