f) be the first derivative of v(f). Factor r(n).
-3*(n - 2)*(n + 1)*(n + 2)**2
Suppose -504*h - 420 - 1530*h**4 + 1527*h**4 + 48*h**3 - 12*h - 45*h**2 = 0. What is h?
-2, -1, 5, 14
Let x = -12 - -15. Suppose -5 = -x*g + 2*g. Factor 10*s**2 - 2*s**2 - g - 5*s**4 + s**2 + s**2.
-5*(s - 1)**2*(s + 1)**2
Let u(a) be the third derivative of 7/360*a**6 + 0 - 1/36*a**5 + 0*a + 1/3*a**3 - 1/630*a**7 + 230*a**2 - 7/72*a**4. Factor u(k).
-(k - 6)*(k - 1)**2*(k + 1)/3
Let j = -118 + 122. Factor -8*i**j - 2*i**4 + 33*i + 12*i**4 - 9*i**3 + 6 - 24 - 9*i**2 + i**4.
3*(i - 3)*(i - 1)**2*(i + 2)
Let t = -381544/11 - -34686. Factor 12/11*p**3 - t*p**2 - 18/11*p**4 + 8/11*p**5 + 0*p + 0.
2*p**2*(p - 1)**2*(4*p - 1)/11
Let s = -166488/5 + 33298. Determine a so that -s*a**3 + 18/5 + 34/5*a + 14/5*a**2 = 0.
-1, 9
Factor -2/13*u**2 - 356/13 - 358/13*u.
-2*(u + 1)*(u + 178)/13
Suppose 4*d**2 - 198/5*d**3 + 91/5*d**5 + 8/5*d + 79/5*d**4 + 0 = 0. What is d?
-2, -2/13, 0, 2/7, 1
Let m = -2161 + 2165. Let s(b) be the second derivative of 0 - m*b + 2/9*b**3 + 1/27*b**4 + 4/9*b**2. Determine f, given that s(f) = 0.
-2, -1
Let g(q) be the third derivative of -4/15*q**3 + 1/150*q**5 + 0*q + 0 + 0*q**4 + 155*q**2. Suppose g(l) = 0. What is l?
-2, 2
Determine h, given that -2/3*h**5 + 10/3*h**4 - 242/3*h**2 + 106/3*h**3 - 1904/3*h - 1568/3 = 0.
-4, -1, 7
Factor 10887/4*f**2 - 9/4*f**3 - 3290595/4*f - 1098075/4.
-3*(f - 605)**2*(3*f + 1)/4
Determine h, given that -2*h**2 + 0*h**2 + 9228*h + 4300835 - 14945333 = 0.
2307
Factor 0 + 1/7*u**5 + 4225/7*u - 16/7*u**4 - 66/7*u**3 + 1040/7*u**2.
u*(u - 13)**2*(u + 5)**2/7
Let a be (-3996)/(-13888) - 28/98. Let z = a - -971/10416. Solve -4/21*f**2 + 4/21*f**4 + 0 + 2/21*f - z*f**5 + 0*f**3 = 0.
-1, 0, 1
Let q = -479099/7 - -68443. Factor 2/7 - q*r**3 + 2/7*r - 2/7*r**2.
-2*(r - 1)*(r + 1)**2/7
Let a = -420569/4 + 210385/2. Suppose 3*g**5 - 87/4*g**4 - 3 + 201/4*g**3 + 87/4*g - a*g**2 = 0. Calculate g.
1/4, 1, 4
Let s(d) = -5*d**2 + 125*d - 1324. Let b(h) = 2*h**2 - 5*h - 5. Let r(w) = w**2 - w - 1. Let f(y) = -b(y) + 4*r(y). Let a(z) = f(z) + s(z). Factor a(t).
-3*(t - 21)**2
Let f(g) be the first derivative of 3*g**5/5 - 129*g**4/4 + 420*g**3 - 2328*g**2 + 5952*g - 1648. Suppose f(v) = 0. What is v?
4, 31
Let c(f) = -75*f + 150. Let n be c(2). Suppose 3*i + 0*i = -n*i. Suppose -4/5*j**2 + 4/5*j + i = 0. What is j?
0, 1
Let q be (-880)/(-176) + (1586 - 0). Let m = q + -4763/3. Factor 2/3*d**2 - 8/3*d - m.
2*(d - 5)*(d + 1)/3
Let w(y) be the second derivative of -y**6/135 + y**4/18 - 2*y**3/27 + 57*y - 3. Suppose w(u) = 0. Calculate u.
-2, 0, 1
Suppose 1901*q - 1305*q = -1461*q. Factor q + 3/7*z**2 + 9/7*z.
3*z*(z + 3)/7
Let k(f) = -36*f**3 - 485*f**2 - 3100*f - 6999. Let o(s) = -s**4 - s**3 - 25*s**2 - 1. Let l(x) = -k(x) - o(x). Factor l(p).
(p + 7)*(p + 10)**3
Let j(f) = -f**3 - 8*f**2 - 6*f + 22. Let b be j(-6). Let c be (b/8 + 2)/((-5)/(-50)). Factor -c*a - 3/2*a**3 - 3/4 - 1/4*a**4 - 3*a**2.
-(a + 1)**3*(a + 3)/4
Suppose -337*v = -331*v - 102. Let p(j) be the first derivative of -v - 3/5*j**5 + 24*j + 6*j**2 - 6*j**3 - 15/4*j**4. Solve p(b) = 0.
-2, 1
Let g(v) = 15*v**2 + 221*v + 217. Suppose 35*k + 55 = 30*k. Let d(m) = -3*m**2 - 44*m - 43. Let z(q) = k*d(q) - 2*g(q). Factor z(n).
3*(n + 1)*(n + 13)
Let b(a) be the second derivative of -a**5/20 - 199*a**4/18 - 2222*a**3/3 - 1452*a**2 + 2077*a + 1. Factor b(s).
-(s + 66)**2*(3*s + 2)/3
Let d = 20 - 17. Factor -38*a**3 - 38*a**3 + 71*a**d + 15*a + 10*a**2.
-5*a*(a - 3)*(a + 1)
Let k(v) = -26*v + 4*v**3 + 7*v**2 + 4 + 20*v**2 - 5*v**3. Let w be k(26). Find c such that 2*c - c - 4*c**w + 3*c**2 - 2*c**3 + 2*c**3 = 0.
-1/2, 0, 1
Let d(s) be the first derivative of -s**3 + 333*s**2/2 - 1792. Factor d(f).
-3*f*(f - 111)
Suppose -4*x + 4*p - 4 = -0*x, -p + 5 = 0. Suppose -4*m = -3*m - o + 4, m - x*o = -16. Factor -k**3 - 20*k**2 + m*k**3 + 4*k**4 - 15*k**3.
4*k**2*(k - 5)*(k + 1)
Let g(a) be the first derivative of 2*a**5/25 + 31*a**4/5 + 168*a**3 + 8424*a**2/5 + 9796. Factor g(v).
2*v*(v + 18)**2*(v + 26)/5
Let s be ((-5)/((-735)/7))/(46/(-1896)). Let j = -32/23 - s. Determine z so that j*z**3 + 2/7*z**5 + 0*z**2 + 0*z - 6/7*z**4 + 0 = 0.
0, 1, 2
Let m(n) be the third derivative of -n**7/210 + 7*n**6/5 + 389*n**5/12 + 361*n**4/2 - 1074*n**3 - 1412*n**2. Factor m(c).
-(c - 179)*(c - 1)*(c + 6)**2
Let d(s) be the third derivative of -s**6/60 + 209*s**5/10 - 8164*s**4 - 98596*s**3/3 - 217*s**2 - 2. Find i such that d(i) = 0.
-1, 314
Let a(b) be the third derivative of -2*b**7/105 - 6*b**6/5 - 19*b**5 + 361*b**4/3 - 4*b**2 - 11*b. Factor a(m).
-4*m*(m - 2)*(m + 19)**2
Let i(z) = 6*z - 4*z**2 - 8 - 1 - 3*z**2 + 11*z. Suppose -2*g - 11*g = 117. Let y(d) = -2*d**2 + 4*d - 2. Let q(s) = g*y(s) + 2*i(s). Let q(j) = 0. What is j?
0, 1/2
Let m(b) be the first derivative of -32/11*b + 2/33*b**3 + 6/11*b**2 - 163. Let m(u) = 0. What is u?
-8, 2
Let t(i) be the first derivative of -7*i**9/432 - 3*i**8/40 - i**7/14 - i**6/45 + 2*i**3/3 + 5*i**2 + 30. Let u(b) be the third derivative of t(b). Factor u(n).
-n**2*(n + 2)*(7*n + 2)**2
Let m(t) be the first derivative of 3*t**4/20 + 116*t**3/5 + 4278*t**2/5 - 92256*t/5 - 8443. Factor m(w).
3*(w - 8)*(w + 62)**2/5
Let o(k) = 385*k + 1 + 8 - 395*k + k**2. Let l = -17 + 15. Let h(w) = 2*w**2 - 29*w + 27. Let t(x) = l*h(x) + 7*o(x). Find u such that t(u) = 0.
1, 3
Let l(i) = 26 + i + 52 + 120 - 19*i. Let y be l(11). Find r, given that -r**2 + y - 4/7*r = 0.
-4/7, 0
Let z(y) be the third derivative of -13*y**5/30 + 2*y**4 + 4*y**3/3 - 98*y**2. Solve z(l) = 0.
-2/13, 2
Let p(k) = 7*k**2 - 766*k + 4719. Let q(d) = 6*d**2 - 656*d + 4045. Let b(w) = -13*p(w) + 15*q(w). Factor b(f).
-(f - 112)*(f - 6)
Let y(j) = -3*j**2 - 28*j - 7. Let r be y(-9). Factor 12*v**r - 6*v + 25*v**3 - 28*v**3 - 18 + 3*v.
-3*(v - 3)*(v - 2)*(v + 1)
Suppose -1406/3 + 12*k + 2/3*k**2 = 0. Calculate k.
-37, 19
Let r(n) be the second derivative of -41*n**4/3 - 2*n**3/3 + 782*n. Let r(y) = 0. Calculate y.
-1/41, 0
Factor -948*j**2 + 1892*j**2 + 312 + 315*j - 941*j**2.
3*(j + 1)*(j + 104)
Let z(a) = 57 - 26 + a**2 + 3*a + 2*a. Let r be z(0). Solve 392 + r*m - 5*m - 10*m + 2*m**2 + 40*m = 0 for m.
-14
Let k = -2 + -24. Let d = k - -30. Let 2*y + 2*y**2 + 2 - d*y + 0*y + 2*y**3 - 4*y**2 = 0. Calculate y.
-1, 1
Let t(i) be the second derivative of 16*i - 1/24*i**4 + 0*i**2 - 3 - 3/80*i**5 + 1/8*i**3 + 1/60*i**6. Factor t(s).
s*(s - 1)*(s + 1)*(2*s - 3)/4
Let p(w) = w**3 + 5*w**2 + 3*w + 15. Let h be p(-4). Suppose 4*b = 3*f - h, -4*b + 0 - 4 = 0. Factor 4/11*o**2 - 2/11*o**f + 0*o - 10/11*o**3 + 8/11*o**4 + 0.
-2*o**2*(o - 2)*(o - 1)**2/11
Let d(w) be the second derivative of -w**6/15 + 3*w**5 - 142*w**4/3 + 344*w**3 - 1152*w**2 - 6*w + 337. Solve d(y) = 0.
2, 6, 16
Let n be ((-243)/(-36) - 6 - -16) + -13. Let n*s - 9/2 + 3/4*s**2 = 0. What is s?
-6, 1
Let r = 19016 + -19010. Let d(k) be the second derivative of 26*k + 1/15*k**r + 1/10*k**5 + 0 + 2*k**2 - 1/2*k**4 - 1/3*k**3. Let d(s) = 0. What is s?
-2, -1, 1
Let d(q) be the first derivative of -3*q**7/70 - 23*q**6/120 - q**5/4 + q**4/8 + 10*q**3/3 - q**2/2 - 51. Let h(z) be the third derivative of d(z). Factor h(s).
-3*(s + 1)**2*(12*s - 1)
Suppose u - 777 = 330*d - 325*d, 2*u = 4*d + 618. Let n be ((-234)/d)/((-21)/(-16)). Factor 1/7*s**2 + 16/7 + n*s.
(s + 4)**2/7
Let a be 1200/90*(-294)/(-1960). Factor 40/3*f**a + 10/3 - 5*f**3 - 35/3*f.
-5*(f - 1)**2*(3*f - 2)/3
Let p(g) be the first derivative of 2*g**2 - 8*g + g**5 + 23/4*g**4 + 10*g**3 - 24. Suppose p(d) = 0. Calculate d.
-2, -1, 2/5
Let u(p) be the first derivative of p**5/4 - 5*p**4/3 - 196*p + 194. Let m(r) be the first derivative of u(r). Factor m(t).
5*t**2*(t - 4)
Let c(i) = -1017*i + 268490. Let v be c(264). Let -2/3*w**v - 8*w + 56/3 = 0. What is w?
-14, 2
Let o(z) be the third derivative of z**6/120 - 127*z**5/20 + 142*z**4/3 - 126*z**3 - 2151*z**2. Factor o(q).
(q - 378)*(q - 2)*(q - 1)
Factor 55/2*j**2 + 0 - 83/6*j - 1/6*j**4 - 27/2*j**3.
-j*(j - 1)**2*(j + 83)/6
Find g, given that -17896/11*g + 2/11*g**2 + 40033352/11 = 0.
4474
Let c = -58/41 + 1259/861. Let j(t) be the second derivative of -c*t**4 - 2/7*t**2 + 36*t + 4/21*t**3 + 0. Suppose j(a) = 0. Calculate a.
1
Let s 