tive of 0*p**3 - 25 + 1/14*p**4 - 4/35*p**5 + 1/21*p**6 + 0*p**2 + 0*p. Factor c(r).
2*r**3*(r - 1)**2/7
Let w(u) be the first derivative of -u**5/20 + 657*u**4/8 - 655*u**3 + 1963*u**2 - 2616*u - 8964. Factor w(b).
-(b - 1308)*(b - 2)**3/4
Let a(m) be the second derivative of m**8/8960 + m**7/420 + m**6/60 - 3*m**4 + m**2/2 - 6*m + 2. Let t(n) be the third derivative of a(n). Solve t(q) = 0.
-4, 0
Let v(q) be the third derivative of 4*q**2 - 4 + 5/24*q**4 - 1/2*q**5 + 0*q + 5*q**3 - 1/24*q**6. Factor v(p).
-5*(p - 1)*(p + 1)*(p + 6)
Let w(r) be the second derivative of 1/3*r**4 - 2 + 35*r - 36*r**2 + 2*r**3. Factor w(y).
4*(y - 3)*(y + 6)
Let h = -3882 + 19566/5. Let c = h + -1072/35. Factor c*x + 2/7*x**2 + 2/7.
2*(x + 1)**2/7
Let i(f) be the third derivative of -f**8/756 + 8*f**7/945 - 2*f**6/135 + 37*f**2 + 10. Determine l so that i(l) = 0.
0, 2
Let y(z) be the third derivative of 10/21*z**3 + 2/21*z**4 + 91*z**2 + 0*z - 1/105*z**5 + 0. Factor y(i).
-4*(i - 5)*(i + 1)/7
Let i = 987811/50657 - -1/101314. Find p such that 507/2*p - i*p**2 - 2197/2 + 1/2*p**3 = 0.
13
Let u(m) be the second derivative of -5*m**4/12 + 3095*m**3/6 + 1550*m**2 + 62*m - 21. Factor u(d).
-5*(d - 620)*(d + 1)
Suppose -2299 + 3376 = 359*j. Factor 1/9*o**5 + 5/9*o**4 + 1/3*o**2 + 7/9*o**j + 0*o + 0.
o**2*(o + 1)**2*(o + 3)/9
Let j(h) = 3*h - 109. Suppose -69 = -9*l + 273. Let d be j(l). Determine v so that -5/2*v**2 + 0*v + 5/4*v**d - 15/4*v**3 + 0 + 0*v**4 = 0.
-1, 0, 2
Suppose -w + 2*w + 4*p + 13 = 0, 5*w - p - 19 = 0. Determine z, given that 103*z**4 + 69*z**3 - 149*z**w - 95 - 270*z**2 - 98*z**4 - 280*z = 0.
-1, 19
Suppose 30*c = -2*c - 534 + 598. Factor 2/13*p**3 + 0*p - 14/13*p**c + 0.
2*p**2*(p - 7)/13
What is t in -180 + 440*t - 45*t**3 + 251*t**2 - 496*t**2 + 30*t**3 = 0?
-18, 2/3, 1
Let x(o) be the first derivative of 4*o**3/3 + 896*o**2 + 8721. Factor x(k).
4*k*(k + 448)
Factor 128*u + 18432 + 2/9*u**2.
2*(u + 288)**2/9
Suppose 6*t = 3*t - 21. Let v(c) = c**2 + 9*c + 14. Let i be v(t). Find a, given that 9*a**3 - 20*a + i*a - 4*a**3 + 0*a = 0.
-2, 0, 2
Let g(j) be the first derivative of -j**5/150 + j**4/15 + 14*j**2 + j + 231. Let y(k) be the second derivative of g(k). Factor y(c).
-2*c*(c - 4)/5
Let t(z) = -1 - 7*z + 2*z**2 + 6*z - 3*z**2 + 6*z**2. Let f be t(1). Factor -3*i + 3*i**2 - 3*i**3 - 3 + i**f + 5*i**3.
3*(i - 1)*(i + 1)**2
Factor 3/7*c**5 + 54/7*c**3 + 27/7*c**4 + 0 + 0*c**2 + 0*c.
3*c**3*(c + 3)*(c + 6)/7
Factor 32/5*t**2 + 1/5*t**4 + 3 - 38/5*t - 2*t**3.
(t - 5)*(t - 3)*(t - 1)**2/5
Factor 2/17*z**3 + 162/17 - 2/17*z**2 - 162/17*z.
2*(z - 9)*(z - 1)*(z + 9)/17
Let t(f) = 50*f**4 + 870*f**3 - 6495*f**2 - 7140*f. Let i(g) = 3*g**4 + 51*g**3 - 382*g**2 - 420*g. Let j(w) = 35*i(w) - 2*t(w). Factor j(a).
5*a*(a - 6)*(a + 1)*(a + 14)
Suppose -118*h + 3*c + 281 = -117*h, 3*h = -c + 833. Let j = h - 1387/5. Find q such that -12/5*q + 0 + j*q**2 = 0.
0, 4
Let 48 + j**2 - 43 + 12*j + 6 = 0. What is j?
-11, -1
Let c(q) be the second derivative of q**4/4 - 199*q**3/2 + 591*q**2 - 3025*q. What is y in c(y) = 0?
2, 197
Let y(u) be the first derivative of -2*u**5/5 + 11*u**4/2 - 16*u**3/3 - 20*u**2 + 643. Factor y(b).
-2*b*(b - 10)*(b - 2)*(b + 1)
Let j(y) = 56*y**2 - 72*y - 4. Let d(m) = -153*m**2 + 215*m + 11. Let n(g) = 4*d(g) + 11*j(g). Factor n(u).
4*u*(u + 17)
Let j(f) = 41*f - 10. Let h be j(2). Let w be 2 + h/(-32) + (-11)/(-12). Factor -w*m**3 + 2*m**2 - 4/3*m + 0.
-2*m*(m - 2)*(m - 1)/3
Let r(j) be the second derivative of 0 + 5/12*j**4 + 49/6*j**2 - 7/2*j**3 - 1/60*j**5 - 67*j. Find p such that r(p) = 0.
1, 7
Find s, given that 1705*s**2 - 3411*s**2 - 1168*s - 85264 + 1702*s**2 = 0.
-146
Let k(t) be the second derivative of t**4/84 - 10*t**3/21 + 18*t**2/7 - 3*t - 1199. Solve k(v) = 0 for v.
2, 18
Suppose -2*w - 10 = 4*z, -51*w - 4*z - 7 = -48*w. Let -3/5*y**w - 21*y + 33/5*y**2 + 15 = 0. Calculate y.
1, 5
Let h(r) = -456*r**4 + 3672*r**3 + 3309*r**2 - 648*r - 21. Let x(s) = s**4 - 6*s**3 + s + 2. Let p(k) = h(k) + 24*x(k). Determine g, given that p(g) = 0.
-1, 1/12, 9
Let y(d) = 25*d**3 - 55*d**2 + 20*d. Let s(w) be the third derivative of -w**6/15 + 3*w**5/10 - 7*w**4/24 + 16*w**2. Let o(c) = 10*s(c) + 3*y(c). Factor o(a).
-5*a*(a - 2)*(a - 1)
Let h(c) = 8*c**4 + 896*c**3 + 24154*c**2 - 51991*c. Let x(s) = 4*s**4 + 448*s**3 + 12078*s**2 - 25995*s. Let g(z) = 3*h(z) - 7*x(z). What is b in g(b) = 0?
-57, 0, 2
Let g(b) be the third derivative of -b**2 - 3/4*b**4 - 17/60*b**5 + 12*b + 0 + 0*b**3 + 1/120*b**6. Factor g(k).
k*(k - 18)*(k + 1)
Let y(o) be the first derivative of -o**5 + 1375*o**4/4 - 31280*o**3 - 47610*o**2 - 669. What is h in y(h) = 0?
-1, 0, 138
Let m(l) be the second derivative of -l**6/10 - 21*l**5/20 - 3*l**4/2 + 14*l**3 + 60*l**2 - 941*l. Find f such that m(f) = 0.
-5, -2, 2
Suppose -3*q + 11 = 2*r, 6 - 4 = q - r. Suppose 0 = 3*p - 2*h - 16 + 1, 5*h - 15 = -3*p. Factor -v**p + v**4 + 4*v**4 + v**3 + v**q - 4*v**4.
-v**3*(v - 2)*(v + 1)
Let u(p) be the first derivative of -4/5*p**2 + 28/15*p**3 - 29 - 9/5*p**4 + 4/5*p**5 - 2/15*p**6 + 0*p. Suppose u(y) = 0. Calculate y.
0, 1, 2
Let d(k) be the first derivative of -5*k**6/2 + 40*k**5 - 60*k**4 + 330. Factor d(c).
-5*c**3*(c - 12)*(3*c - 4)
Let z be (3*(-12)/9)/(7 + -5). Let p(v) = 4*v**3 - 18*v**2 + 26*v + 2. Let w(d) = -d**3 + d**2 - d - 1. Let q(r) = z*w(r) - p(r). What is l in q(l) = 0?
0, 2, 6
Factor -44*l - 47*l - 12*l**3 + 110*l + 218*l**2 - 30*l - 25*l.
-2*l*(l - 18)*(6*l - 1)
Let r be 9*50/(-75) + (10 - -1). Let c(g) be the second derivative of 1/20*g**r + 0 + 0*g**4 + 0*g**3 - 13*g + 0*g**2 + 1/30*g**6. Determine z so that c(z) = 0.
-1, 0
Let t(c) be the first derivative of -1/20*c**4 - 1/25*c**5 + 118 + 3/5*c**3 - 11/10*c**2 + 4/5*c. Factor t(r).
-(r - 1)**3*(r + 4)/5
Suppose 3*i - 2*v = 1, i + 291*v = 287*v + 19. Factor -12*a + 0*a**i - 3/4*a**4 + 0 + 9*a**2.
-3*a*(a - 2)**2*(a + 4)/4
Let w be (18/189)/(6/28). Suppose 0 = -176*x + 41 + 487. Factor -4/9*y + 8/9 - 8/9*y**2 + w*y**x.
4*(y - 2)*(y - 1)*(y + 1)/9
Let y = 3662 + -3662. Let d(w) be the third derivative of y + 2*w**2 + 0*w - 1/390*w**5 - 1/39*w**4 + 0*w**3. Factor d(n).
-2*n*(n + 4)/13
Let o(f) be the second derivative of -37/114*f**4 - 118*f + 4/3*f**3 - 4/19*f**2 - 1. Find g such that o(g) = 0.
2/37, 2
Factor 5*u - 182*u**2 + 6660*u**3 - 2 + 2 - 6632*u**3 + 41*u**2.
u*(u - 5)*(28*u - 1)
Suppose -27 = 134061*s - 134070*s. Find o such that -1/3*o**3 - o**4 + 3*o**2 + s*o + 2/3 = 0.
-1, -1/3, 2
Let z be (44/6 - (-15)/(-45)) + -3. Suppose 3*c = -t - 10, -t - 2*c + z*c + 10 = 0. Factor 0*l**t - 27*l - 2*l**2 - 75 - 3*l - l**2.
-3*(l + 5)**2
Let h(t) = 3*t**2 - 2*t. Let g(a) be the third derivative of a**5/6 - 4*a**4/3 - 11*a**3/3 + 60*a**2. Let c(z) = -g(z) + 4*h(z). Let c(l) = 0. Calculate l.
-11, -1
Let o(r) be the third derivative of 1/2*r**3 + 1/260*r**5 + 0 - 1/2340*r**6 + 0*r**4 - 33*r**2 + 0*r. Let y(a) be the first derivative of o(a). Factor y(g).
-2*g*(g - 3)/13
Let b(y) be the third derivative of 0 + 2*y**3 + 1/105*y**5 - 5/21*y**4 - 48*y**2 + 0*y. Factor b(t).
4*(t - 7)*(t - 3)/7
Let r(z) be the first derivative of -2*z**3/3 - 575*z**2 + 1152*z - 7231. What is w in r(w) = 0?
-576, 1
Let w be 14/(-5)*440/(-1056). Let s(j) be the first derivative of 2/9*j**3 - 1/3*j**5 + j - 1/18*j**6 - 1/2*j**4 - 14 + w*j**2. Let s(p) = 0. What is p?
-3, -1, 1
Let n(k) be the third derivative of k**6/60 + 3*k**5/10 + 13*k**4/6 + 8*k**3 + 453*k**2. Suppose n(h) = 0. What is h?
-4, -3, -2
Factor 7107/8*h - 1290*h**2 + 600*h**3 - 1587/8.
3*(h - 1)*(40*h - 23)**2/8
Suppose 0 = -128*l + 141*l - 78. Let k be ((-72)/810*-5)/(4/l). Let 2/3*m**4 + 0 + 0*m + 0*m**2 + k*m**3 = 0. What is m?
-1, 0
Let h(j) = -145*j**3 + 605*j**2 - 195*j - 970. Let b(o) = o**4 - 73*o**3 + 303*o**2 - 99*o - 486. Let u(n) = 5*b(n) - 2*h(n). Let u(r) = 0. What is r?
-1, 2, 7
Suppose 5*p = 210*p + 127*p - 996. Factor 2/5*y**p + 8/5*y**2 + 6/5*y + 0.
2*y*(y + 1)*(y + 3)/5
Suppose -7*d = 125 - 181. Suppose 0 = -5*u + u - 5*o, -5*u + 21 = o. Factor -10*n**3 + d*n + 3*n - u*n - n + 5*n**5.
5*n*(n - 1)**2*(n + 1)**2
Let j(f) be the first derivative of -2*f**5/25 - 2*f**4/5 + 104*f**3/5 + 1216*f**2/5 + 3584*f/5 - 5117. Let j(s) = 0. Calculate s.
-8, -2, 1