8 + 19/100*r**6 + 2/15*r**4 - 32/525*r**7 - 19/75*r**5 + 23*r**2. Solve p(a) = 0.
0, 2/5, 1, 4
Let o(w) be the second derivative of w**7/3780 - w**5/45 + w**4/2 + 11*w. Let r(z) be the third derivative of o(z). Factor r(f).
2*(f - 2)*(f + 2)/3
Let s be (85/7)/(264/42). Let q = -13/11 + s. Factor 3/4*f**2 - q*f + 0.
3*f*(f - 1)/4
Let b(z) = -z**2 - 6*z - 2. Let y be b(-5). Find q, given that 6 + 2 + 2*q**4 - 6*q**2 + 2*q - 2*q**y - 4 = 0.
-1, 1, 2
Factor 28322*i - 238*i**2 - 3370318/3 + 2/3*i**3.
2*(i - 119)**3/3
Let p(g) be the second derivative of -g**7/105 + g**6/75 + 4*g**5/25 - 4*g**4/15 - 16*g**3/15 + 16*g**2/5 + 87*g. Determine o, given that p(o) = 0.
-2, 1, 2
Let t(a) be the third derivative of a**8/224 - 3*a**7/140 - 23*a**6/80 - 33*a**5/40 - 7*a**4/8 - 352*a**2. Find r such that t(r) = 0.
-2, -1, 0, 7
Let z(v) be the third derivative of v**8/112 + v**7/14 + v**6/10 - 4*v**5/5 - 4*v**4 - 8*v**3 - 310*v**2. Determine j, given that z(j) = 0.
-2, -1, 2
Let x(j) = -j**3 + 4*j**2 - 7*j - 12. Let n be x(6). Let g = 507/4 + n. Factor -9/4*m + g*m**2 + 3/2.
3*(m - 2)*(m - 1)/4
Let a = 40 + 0. Suppose -y = 2*x - a, 0 = -4*x - 2 - 2. Solve 49*h**3 - 48*h**5 - 50*h**5 - 8*h**2 - 7*h**3 + 6*h**3 - y*h**4 = 0.
-1, 0, 2/7
Let v = 2227 + -2227. Let 2/11*y**4 + 4/11*y - 4/11*y**3 - 2/11*y**2 + v = 0. What is y?
-1, 0, 1, 2
Let h(s) = 5*s**3 - 36*s**2 + 24*s + 7. Let n(r) = 4*r**3 - 34*r**2 + 24*r + 6. Let t(f) = -6*h(f) + 7*n(f). Factor t(x).
-2*x*(x - 1)*(x + 12)
Let m be (166/(-581))/((-2)/2). Factor 2/3*j**2 - 4/21*j**3 + 0 - m*j.
-2*j*(j - 3)*(2*j - 1)/21
Factor 9/2*o - 3/2*o**2 + 0.
-3*o*(o - 3)/2
Suppose -3*c + 666 + 684 = 0. Factor -132*q**4 - 54*q + 382*q**4 + 85*q**2 + 208*q**2 - 23*q**2 - c*q**3.
2*q*(5*q - 3)**3
Let n(d) be the first derivative of -14 + 4/3*d + 4/3*d**2 + 4/9*d**3. Factor n(l).
4*(l + 1)**2/3
Let l(o) = -2*o**2 - 405*o + 3*o**2 + 1 + 406*o. Let a(u) = -8*u**2 - 5*u - 7. Let k(v) = -2*a(v) - 14*l(v). Find r, given that k(r) = 0.
0, 2
Let v = -628 - -628. Let o(w) be the first derivative of v*w + 4 + 1/10*w**2 - 1/20*w**4 - 1/15*w**3 + 1/25*w**5. Factor o(u).
u*(u - 1)**2*(u + 1)/5
Suppose -194*o + 201*o - 21 = 0. Let p(c) be the second derivative of 4*c - 1/4*c**4 + 0 + o*c**3 - 27/2*c**2. Let p(r) = 0. What is r?
3
Let h(w) be the third derivative of -w**5/90 - w**4/36 - 2*w**2 - 44. Factor h(f).
-2*f*(f + 1)/3
Factor 12*l**3 - 2/3*l**4 + 0 + 0*l + 0*l**2.
-2*l**3*(l - 18)/3
Suppose 5*l + f + 5 = 17, -2*l + 3 = f. Solve -2/15*p**l + 4/15*p**2 + 2/15*p - 4/15 = 0.
-1, 1, 2
Let d(l) = -3*l**4 + l**3 + 26*l**2 - 16*l - 8. Let r(q) = -10*q**4 + 4*q**3 + 79*q**2 - 49*q - 24. Let h(y) = 11*d(y) - 4*r(y). Suppose h(g) = 0. What is g?
-2, -2/7, 1, 2
Let h = 160 + -155. Let w(m) be the second derivative of 0*m**2 + 0*m**4 + 1/6*m**3 + 7/24*m**7 - 3*m + 0 - 53/80*m**h + 0*m**6. What is u in w(u) = 0?
-1, -2/7, 0, 2/7, 1
Let k(h) be the third derivative of 0*h - 1/39*h**4 - 1/390*h**5 - 12*h**2 - 4/39*h**3 + 0. Factor k(s).
-2*(s + 2)**2/13
Let z(r) be the second derivative of r**7/21 - 5*r**6/24 - r**5/4 + 5*r**4/3 + 10*r**3/3 + 5*r**2/2 + r. Let h(t) be the first derivative of z(t). Factor h(l).
5*(l - 2)**2*(l + 1)*(2*l + 1)
Let u(m) be the second derivative of -m**5/30 - 10*m**4/9 - 64*m**3/9 - 72*m. Factor u(w).
-2*w*(w + 4)*(w + 16)/3
Let o(c) be the second derivative of 0*c**3 + 15*c + 1/30*c**5 - 1/6*c**4 + 0 + 4/3*c**2. What is l in o(l) = 0?
-1, 2
Let y be 4/40 + 459/(-90) + (-33)/(-6). What is f in y + 1/2*f**2 + f = 0?
-1
Let y = -945 - -945. Factor 4/15*j**3 - 2/15*j + y + 0*j**4 - 2/15*j**5 + 0*j**2.
-2*j*(j - 1)**2*(j + 1)**2/15
Let s(v) = 4*v**3 - 16*v**2 - 16*v + 9. Let n(x) = -x**3 - x**2 + 1. Let k(f) = -5*n(f) + s(f). Suppose k(t) = 0. What is t?
-1, 2/9, 2
Let a(b) be the second derivative of -b**9/90720 + b**8/20160 + b**7/3024 - b**6/720 + 9*b**4/4 - 15*b. Let n(r) be the third derivative of a(r). Factor n(p).
-p*(p - 3)*(p - 1)*(p + 2)/6
Let c(m) be the third derivative of m**7/280 + 7*m**6/480 - m**4/24 - 3*m**2 + 2*m. Find h, given that c(h) = 0.
-2, -1, 0, 2/3
Let l(v) = 8*v + 20. Let w(z) = 9*z + 20. Let y(j) = 6*l(j) - 5*w(j). Let d be y(-6). Suppose 12*r**2 - 3*r + r - 6*r - 6*r**4 + d*r**4 = 0. What is r?
-2, 0, 1
Let i(p) be the first derivative of -3 + p**4 + 0*p + 1/3*p**3 + 6/5*p**5 + 3*p**2. Let x(s) be the second derivative of i(s). Factor x(r).
2*(6*r + 1)**2
Let g be ((-1)/(-3))/(8/96). Solve 20*o**2 + 10*o**g + 20*o**3 + 10*o + 2 - 2*o**5 + 8*o**5 - 4*o**5 = 0 for o.
-1
Let s(x) be the second derivative of x**4/42 + 5*x**3/7 - 16*x**2/7 - x + 185. Suppose s(i) = 0. What is i?
-16, 1
Let j(y) be the second derivative of 3*y**5/50 + 7*y**4/30 - 6*y**3/5 + 8*y**2/5 + 2*y - 25. Solve j(a) = 0 for a.
-4, 2/3, 1
Let r(i) be the second derivative of i**6/40 - i**5/5 + 3*i**4/8 + 21*i**2/2 + 27*i. Let j(n) be the first derivative of r(n). Suppose j(o) = 0. What is o?
0, 1, 3
Let t(d) be the third derivative of d**5/150 - d**4/15 - 4*d**3/5 + 136*d**2 - 2*d. Determine r so that t(r) = 0.
-2, 6
Let i(d) = 10*d**3 - 420*d**2 + 575*d. Let h(o) = o**3 - 35*o**2 + 48*o. Let v(t) = 25*h(t) - 2*i(t). Find w such that v(w) = 0.
0, 2, 5
Let m = -1894/3 - -642. Factor -10/3*y**4 + 80/3*y - m + 1/3*y**5 - 80/3*y**2 + 40/3*y**3.
(y - 2)**5/3
Let m = -21 - -8. Let r = 15 + m. Factor -16*k - 6*k**3 + 5*k**5 - 5*k - 24*k**2 - 6 + 6*k**4 - r*k**5.
3*(k - 2)*(k + 1)**4
Let s(n) be the first derivative of n**2/2 + 5*n + 8. Let v be s(-3). Factor -p + v*p**2 + p**5 + 0*p**4 - p**4 - p**4.
p*(p - 1)**3*(p + 1)
Let h be (-1)/((-3)/15) - 65. Let w = -56 - h. Determine a, given that 0*a + 2/7*a**2 - 4/7*a**3 + 0 + 2/7*a**w = 0.
0, 1
Let q = -4/153 + 194/19125. Let j = 52/125 + q. Factor 0*s**3 - 2/5 - j*s**4 + 0*s + 4/5*s**2.
-2*(s - 1)**2*(s + 1)**2/5
Let u be (-46)/23 + ((-22)/(-8) - 0). Let t = 509/4 + -125. Find k such that -3/4*k**4 + t*k**3 - 3/2*k + 0 + 3/4*k**2 - u*k**5 = 0.
-2, -1, 0, 1
Let k(q) = q**3 + 3*q**2 - 3*q - 6. Let r = -9 + 6. Let v be k(r). Factor -16*z**2 + 7*z**4 + 10*z**3 - 4*z - z**v + 5*z**2 - z**2.
z*(z - 1)*(z + 2)*(7*z + 2)
Let q(g) be the first derivative of 0*g**2 + 8/3*g**3 + 0*g - 8 - g**4 - 4/5*g**5. Factor q(a).
-4*a**2*(a - 1)*(a + 2)
Let v(u) be the third derivative of 5*u**8/336 + 2*u**7/21 - u**6/4 - u**5/3 + 25*u**4/24 - 28*u**2 - 1. Factor v(b).
5*b*(b - 1)**2*(b + 1)*(b + 5)
Let c(t) be the first derivative of 38 - 2*t**4 + 0*t**3 + 0*t - 12/5*t**5 - 2/3*t**6 + 0*t**2. Find p such that c(p) = 0.
-2, -1, 0
Let a(o) be the first derivative of 0*o + 6/7*o**2 - 2/7*o**4 - 2/35*o**5 + 23 - 2/21*o**3. Factor a(i).
-2*i*(i - 1)*(i + 2)*(i + 3)/7
Let s be (-2)/(-4)*-35*(-24)/84. Let b(q) be the first derivative of 0*q**2 - 1 + 0*q**3 + 0*q - 2/55*q**s + 1/11*q**4. Factor b(m).
-2*m**3*(m - 2)/11
Factor -4/7 - 5/7*l - 1/7*l**2.
-(l + 1)*(l + 4)/7
Let g(h) = -25*h**3 - 25*h**2 + 25*h + 25. Let j(l) = -8*l**3 - 8*l**2 + 8*l + 8. Let b(d) = 3*g(d) - 10*j(d). Determine o, given that b(o) = 0.
-1, 1
Let p(q) be the second derivative of -q**5/5 + 21*q**4 + 86*q**3 + 130*q**2 - 29*q + 3. Factor p(s).
-4*(s - 65)*(s + 1)**2
Let s(a) be the first derivative of -1/6*a**2 + 9 - 11/15*a**5 + 1/3*a + 1/6*a**6 + 7/6*a**4 - 2/3*a**3. Solve s(x) = 0 for x.
-1/3, 1
Let a = -2034 - -2039. Let p(c) be the second derivative of 16/27*c**3 + 11/90*c**a - 1/135*c**6 + 0 + 64/9*c**2 - 2/3*c**4 + 11*c. Factor p(u).
-2*(u - 4)**3*(u + 1)/9
Let w(b) = -b**3 - 13*b**2 + b + 18. Let v be w(-13). Suppose -5*c = -3*g - 0*c - v, 0 = 5*g - 4*c - 9. Find s, given that 9*s**2 - 13*s**2 - g - 3 + 12*s = 0.
1, 2
Let f(c) be the third derivative of -1/84*c**4 + 7*c**2 - 1/42*c**3 + 0*c - 1/1176*c**8 + 0 + 1/210*c**6 + 1/210*c**5 - 1/1470*c**7. Solve f(r) = 0 for r.
-1, -1/2, 1
Let b(c) be the first derivative of -c**4/8 - 5*c**3/6 - c**2/2 + 4*c + 149. Factor b(q).
-(q - 1)*(q + 2)*(q + 4)/2
Let f(b) be the first derivative of 0*b**2 + 0*b - 4/25*b**5 - 2 - 8/15*b**3 - 3/5*b**4. Factor f(s).
-4*s**2*(s + 1)*(s + 2)/5
Suppose -9 = 3*m + a - 3, m - a = 6. Factor -1/4*g**2 - 1/4*g**3 + m + 1/2*g.
-g*(g - 1)*(g + 2)/4
Find j, given that -127/5*j - 63/5 - 13*j**2 - 1/5*j**3 = 0.
-63, -1
Let y(x) be the first derivative of -1/23*x**