5 - 9*y**4/2 - 13*y**3 - 10*y**2 - 1331. Factor w(a).
a*(a - 20)*(a + 1)**2
Let c = 7675 + -7668. Let b(a) be the second derivative of 3/5*a**6 + 0 + 2*a**3 + 39/20*a**5 + 3*a**4 + 32*a + 1/14*a**c + 0*a**2. Solve b(p) = 0 for p.
-2, -1, 0
Let c(y) = 2*y**2 - 23*y - 100. Let o be c(-4). Suppose -1615*r - o = -1627*r. Suppose 1/6*d**r + 0 + 1/3*d**3 - 1/3*d - 1/6*d**4 = 0. Calculate d.
-1, 0, 1, 2
Let g(r) be the third derivative of -r**7/2940 + 4*r**6/315 + 7*r**3 + 46*r**2. Let b(z) be the first derivative of g(z). Solve b(x) = 0.
0, 16
Let z(u) be the second derivative of -7/3*u**3 + 1/180*u**6 + 0*u**2 + 0 - 1/20*u**5 - 5/6*u**4 - 30*u. Let c(n) be the second derivative of z(n). Factor c(x).
2*(x - 5)*(x + 2)
Suppose 10 = c + 3*h, 2*h = -4*c - 0*h + 10. Let r(z) = 14*z - 2. Let i be r(c). Let -i + 375*f**2 - 4*f + 0 - 359*f**2 = 0. What is f?
-3/4, 1
Let l = -8258 - -396385/48. Let w(h) be the second derivative of 0 + l*h**4 + 3/4*h**2 - 5/24*h**3 + 26*h. Factor w(r).
(r - 3)*(r - 2)/4
Let v(c) = 1 - c**4 + 2014*c**3 - 13*c - 2*c**2 - 2012*c**3 + 12*c. Let p(o) = o**4 + o**3 - 4*o**2 + 6*o - 2. Let f(r) = -3*p(r) - 6*v(r). Factor f(j).
3*j*(j - 2)**2*(j - 1)
Let h be (-189)/54 + (-3)/((42/77)/(-1)). Let y be 1 + -2 - (-14)/6. Factor 0*s - y + 1/3*s**h.
(s - 2)*(s + 2)/3
Factor 163/8 - 81/4*p - 1/8*p**2.
-(p - 1)*(p + 163)/8
Let p(h) be the third derivative of -h**6/120 + 251*h**5/60 + 95*h**4/3 + 254*h**3/3 - 4107*h**2. Find a such that p(a) = 0.
-2, -1, 254
Let t(y) = -2 + 5*y**3 - 2 - 6*y + 5 - 3. Let i = -132 + 115. Let l(w) = 14*w**3 - w**2 - 19*w - 7. Let v(s) = i*t(s) + 6*l(s). Factor v(b).
-(b + 2)**3
Let r = 1327428 + -1327426. Factor 2/7*i**r + 512/7 - 64/7*i.
2*(i - 16)**2/7
Let n(y) be the second derivative of -10*y**2 + 1/6*y**6 + 0 + 1/2*y**5 - 152*y - 5/4*y**4 - 20/3*y**3. Factor n(d).
5*(d - 2)*(d + 1)**2*(d + 2)
Factor -379/6*r**3 - 341334*r + 333396 + 8001*r**2 + 1/6*r**4.
(r - 126)**3*(r - 1)/6
Factor 115843416 - 1028196*p + 5776*p**3 + 3042*p**2 - 2885*p**3 - 2894*p**3.
-3*(p - 338)**3
Factor -11783*d**2 + 2104 - 11784*d**2 + 23565*d**2 + 1094*d - 46*d.
-2*(d - 526)*(d + 2)
Let x be (-80)/100*5/(-2). Let f(v) = 39*v**2 - 180*v - 1080. Let b(t) = 3*t**2 - 14*t - 83. Let n(j) = x*f(j) - 27*b(j). Factor n(l).
-3*(l - 9)*(l + 3)
Suppose -5*k - 68 = -9*k - f, -2*k + 48 = 4*f. Let u(h) be the second derivative of 1/45*h**3 + 0*h**2 - k*h + 0 - 1/90*h**4. What is x in u(x) = 0?
0, 1
Suppose 108*d - 138*d = 486*d - 2580. Suppose -7/4*v**3 - 3/4*v**2 + 1/2*v + 3/4*v**4 + 5/4*v**d + 0 = 0. Calculate v.
-1, 0, 2/5, 1
Let w(o) = -o**2 - 12*o + 48. Let i be w(3). Factor -15*f**3 - i*f - f**3 + 6*f**2 + 4*f**3 + 9*f**3.
-3*f*(f - 1)**2
Let h(m) be the first derivative of m**6/1080 + 41*m**5/180 + 1681*m**4/72 + 26*m**3/3 + m + 129. Let u(f) be the third derivative of h(f). Factor u(y).
(y + 41)**2/3
Solve -15344*p - 5096 - 68438/13*p**3 - 2/13*p**5 - 734/13*p**4 - 200930/13*p**2 = 0.
-182, -1
Let y(z) be the third derivative of -9*z**2 - 49/72*z**4 + 0*z**3 - 3*z + 0 - 1/24*z**6 - 1/630*z**7 - 7/20*z**5. Determine p, given that y(p) = 0.
-7, -1, 0
Let n(f) be the second derivative of f**6/20 + 3*f**5/40 - 51*f**4/8 - 49*f**3/4 + 147*f**2/2 + 5744*f. Determine b so that n(b) = 0.
-7, -2, 1, 7
Let q(k) be the third derivative of 0*k**3 + 0*k - 2/105*k**5 - 1/1176*k**8 + 1/245*k**7 + 1 + 20*k**2 + 0*k**4 + 0*k**6. Find c such that q(c) = 0.
-1, 0, 2
Let c(x) = 2*x**3 - 19*x**2 - 10*x + 3. Suppose -423*a - 80 = -431*a. Let w be c(a). Factor 1/3*y**4 - y**2 + 2/3*y**w - 8/3*y - 4/3.
(y - 2)*(y + 1)**2*(y + 2)/3
Let y = 990 - 987. Suppose -j + 5*b - 18 = 0, j - 16 = -y*j - 2*b. Factor 0*i**j - 1/5 + 1/5*i**4 + 2/5*i**3 - 2/5*i.
(i - 1)*(i + 1)**3/5
Factor 0 + 6*m**3 - 23/2*m**2 - 1/2*m**4 - 18*m.
-m*(m - 9)*(m - 4)*(m + 1)/2
Let v = -99 + 112. Determine l so that 2 + l**5 - l**4 + 12*l**2 + 2 - 11*l**2 - 5*l**3 - 5*l + v*l = 0.
-1, 2
Let j(r) be the second derivative of 53/50*r**5 - 33*r + 1 + 53/15*r**4 + 32/5*r**3 + 1/105*r**7 + 32/5*r**2 + 4/25*r**6. Solve j(s) = 0 for s.
-4, -2, -1
Suppose -131*r = 3*o - 126*r + 9, -13 = -2*o + 3*r. Solve 33/5*x + 4*x**o + 4/5*x**3 + 18/5 = 0 for x.
-2, -3/2
Suppose 2*i = -24 + 42. Let s be i/(-1)*(212/24 + -9). Determine q so that q**3 - q**2 - 1/2 - 3/2*q + s*q**4 + 1/2*q**5 = 0.
-1, 1
Let i be (16/(-20) - (-6)/(-5))*7. Let r be (10 - 3)*(24/i + 2). Factor -r*q**3 + 16/5*q + 2/5*q**5 - 2/5*q**2 - 8/5 + 2/5*q**4.
2*(q - 1)**3*(q + 2)**2/5
Let p(y) be the second derivative of -y**4/48 + y**3/24 + 15*y**2/4 - 4*y - 1. Factor p(j).
-(j - 6)*(j + 5)/4
Let t(k) be the first derivative of k**7/280 - k**6/40 - k**5/10 + 5*k**3 + 6*k - 238. Let d(m) be the third derivative of t(m). Find i, given that d(i) = 0.
-1, 0, 4
Let h = -72 + 71. Let d(j) = -3*j**3 - 19*j**2 - 8*j. Let l(c) = -c**2 + c. Let o(n) = h*d(n) + 4*l(n). Factor o(b).
3*b*(b + 1)*(b + 4)
Let j(w) be the third derivative of -w**6/420 - 278*w**5/35 - 77284*w**4/7 - 171879616*w**3/21 + 1301*w**2. Factor j(c).
-2*(c + 556)**3/7
Let q(s) be the first derivative of s**5/90 - s**4/9 + s**3/3 - 4*s**2/9 + 74*s + 77. Let n(y) be the first derivative of q(y). Factor n(w).
2*(w - 4)*(w - 1)**2/9
Let w(h) = -10*h**2 - 462*h + 12537. Let o(r) = -6*r**2 - 232*r + 6268. Let z(l) = -7*o(l) + 4*w(l). Factor z(c).
2*(c - 56)**2
Let -25/4*r**2 + 2735/2 - 13665/4*r = 0. What is r?
-547, 2/5
Let f = -633 + 1729. Factor 190*w**3 - 499*w**2 - 4*w**4 + 54*w**4 - f*w - 224 - 773*w**2.
2*(w - 4)*(w + 7)*(5*w + 2)**2
Let p(n) be the second derivative of -n**4/6 + 410*n**3/3 + 411*n**2 - 419*n - 1. Suppose p(v) = 0. Calculate v.
-1, 411
What is q in 4*q**2 - 787*q - 2210 - 254*q - 584*q + 458 - 123*q = 0?
-1, 438
Let k(j) be the second derivative of 50*j + 0*j**3 - 1/30*j**5 + 1/135*j**6 + 0*j**2 - 2/27*j**4 + 0. Factor k(g).
2*g**2*(g - 4)*(g + 1)/9
Let z(h) be the first derivative of -h**3/9 + 89*h**2/3 + 179*h/3 - 1331. Factor z(c).
-(c - 179)*(c + 1)/3
Let r = 305/22 + -19361/154. Let v = r + 4041/35. Factor 3/5 - v*y - 21/5*y**2.
-3*(y + 1)*(7*y - 1)/5
Let w be -2 + 10/6*(-42)/35 + 6. Let t(n) be the third derivative of 3*n**w + 0*n - 1/36*n**4 - 4/9*n**3 + 0 + 2/45*n**5 + 1/180*n**6. Let t(l) = 0. What is l?
-4, -1, 1
Let p(x) be the first derivative of 25*x**6/6 + 37*x**5 + 235*x**4/2 + 460*x**3/3 + 60*x**2 - 10306. Suppose p(v) = 0. Calculate v.
-3, -2, -2/5, 0
Suppose 44/9*v**4 - 14/9*v**5 + 2/3*v**3 - 4*v**2 + 0*v + 0 = 0. Calculate v.
-6/7, 0, 1, 3
Let n(y) = -10*y**3 - 75*y**2 - 5*y + 5. Suppose -3*f + 10 + 5 = 0. Let w(p) = p**3 + p - 1. Let z(b) = f*w(b) + n(b). Solve z(d) = 0.
-15, 0
Let l(z) be the first derivative of z**4/32 + 55*z**3/6 + 728*z**2 - 6272*z + 516. Solve l(j) = 0 for j.
-112, 4
Let c(p) = -3*p**4 - 213*p**3 + 576*p**2 - 420*p - 12. Let i(v) = -2*v**3 - v**2 - 2*v - 1. Let u(s) = c(s) - 12*i(s). Solve u(g) = 0.
-66, 0, 1, 2
Factor 0 + 1/2*u**2 + 461*u.
u*(u + 922)/2
Let o = -612350 - -612350. Determine l, given that 2/9*l**2 + 0 + o*l + 2/3*l**3 = 0.
-1/3, 0
Suppose 10*k + 67*k = 66*k - 140*k - 116*k. Suppose -2/5*h**3 + 3*h**2 + 36/5*h + k - 1/5*h**4 = 0. Calculate h.
-3, 0, 4
Let h(a) be the second derivative of a**6/75 + 38*a**5/25 + 5*a**4/2 - 3530*a. Determine f, given that h(f) = 0.
-75, -1, 0
Solve 41473600/9 + 25760/9*v + 4/9*v**2 = 0.
-3220
Let i(a) be the first derivative of a**4/20 + 2*a**3 + 88*a**2/5 + 2901. Factor i(l).
l*(l + 8)*(l + 22)/5
Suppose 0 = 4*g + 16*q + 168, -28*q = -29*q - 11. Factor 8/3*m**g - 4/3 + 14/3*m.
2*(m + 2)*(4*m - 1)/3
Let b(a) be the second derivative of a**5/5 - 34*a**4/3 - 70*a**3/3 + 170*a. What is h in b(h) = 0?
-1, 0, 35
Let f be 9/(-60)*141/(-27) - 93/124. Let z(b) be the third derivative of 1/2*b**4 + 0*b + 0 + 16*b**2 + 2/105*b**7 + 0*b**3 - 1/3*b**5 + f*b**6. Factor z(t).
4*t*(t - 1)**2*(t + 3)
Let 1/2*o**4 + 0*o - 69/2*o**3 + 0 + 34*o**2 = 0. What is o?
0, 1, 68
Let s(x) be the second derivative of -1/4*x**5 + 0 + 0*x**4 + 10*x**3 + 79*x + 40*x**2. What is g in s(g) = 0?
-2, 4
Let s = 18 + -14. Let l(d) be the first derivative of d**3 - 33 + 27 - 5*d**3 - 4*d + 6*d**2 - 3*d**s + 4*d**4. Factor l(u).
4*(u - 1)**3
Let p(r) = 45*r**3 + 35*r**2 - 55*r - 465. Let q(k) = 2*k**3 - 2*k**2 - 3*k - 