Factor i(v).
4*(v - 122)*(v - 4)*(v + 1)
Let f be 12*(1 - 22/(-32))*-12. Let y be 24/(-90)*f/36. Suppose 9/5*i**3 + 0 - y*i**2 + 3/5*i - 3/5*i**4 = 0. What is i?
0, 1
Let a(p) be the second derivative of p**6/180 + 4*p**5/15 + 5*p**4/4 - 5*p**3/6 - 5*p**2/2 - 10*p - 3. Let o(z) be the second derivative of a(z). Factor o(g).
2*(g + 1)*(g + 15)
Let i be (64/(-4))/(2 + 200/(-16)). Let c(g) be the first derivative of -5/14*g**4 + 0*g + 35 - 4/7*g**2 + i*g**3 - 2/5*g**5. Solve c(y) = 0.
-2, 0, 2/7, 1
Let x be (-4277)/(-1410) - 13/390. Solve -6/5*q**2 - 2/5*q**x - 6/5*q - 2/5 = 0.
-1
Let w(q) = -19*q**2 + 234*q + 223. Let i(k) = -21*k**2 + 235*k + 223. Let c(m) = -10*i(m) + 11*w(m). Suppose c(u) = 0. What is u?
-223, -1
Suppose 2*t + 3*r = r - 78, -93 = 3*t - 5*r. Let u = t - -42. Solve -73 - 107 - 126*o + 55*o**2 + u*o - 6*o**3 + o**3 = 0.
-1, 6
Let w(g) be the third derivative of -23/30*g**6 - 9*g**2 + 1/84*g**8 + 0*g**3 + 4/21*g**7 + 0 + 4/5*g**5 + 0*g**4 + 2*g. What is s in w(s) = 0?
-12, 0, 1
Let u(f) = 2 - 2 - 6*f**2 - 4*f. Let j(z) = -2537*z + 12676. Let x be j(5). Let h(s) = 25*s**2 + 16*s. Let b(c) = x*u(c) - 2*h(c). Factor b(a).
4*a*(a + 1)
Suppose 0 - 185/2*r - 1/4*r**3 + 371/4*r**2 = 0. Calculate r.
0, 1, 370
Let m(u) = 8*u**4 + 2*u**2 - u. Let q(f) = 49*f**4 + 5*f**3 - 5*f**2 - 27*f. Let z(o) = -6*m(o) + q(o). Let z(i) = 0. Calculate i.
-7, -1, 0, 3
Suppose -128*d + 122*d = -36. Let i be ((-2)/d)/(1 - (-5)/(-2)). Factor -i*p**2 + 10/9*p - 8/9.
-2*(p - 4)*(p - 1)/9
Suppose 61018*v - 30504*v - 30512*v = 4. Suppose -3/2 - 5/4*x - 1/4*x**v = 0. Calculate x.
-3, -2
Let b = 173 + -162. Let f be b/44*(-6 - -14). Factor 2 + 4/3*j + 2/9*j**f.
2*(j + 3)**2/9
Let d(j) be the second derivative of -101*j + 1/4*j**5 - 40/3*j**3 + 0 + 0*j**4 + 0*j**2. Factor d(p).
5*p*(p - 4)*(p + 4)
Let w(i) be the third derivative of i**7/490 + i**6/40 + 17*i**5/140 + 17*i**4/56 + 3*i**3/7 + 8*i**2 - 3*i. Factor w(s).
3*(s + 1)**2*(s + 2)*(s + 3)/7
Let c be (14 - 12 - (-30)/(-14))/(16/(-40)). Let n(b) be the first derivative of 4/21*b**3 - 19 + 0*b + 1/21*b**6 + c*b**4 + 8/35*b**5 + 0*b**2. Factor n(x).
2*x**2*(x + 1)**2*(x + 2)/7
Let m(h) be the second derivative of h**6/40 + 3*h**5/16 - h**4/16 - 5*h**3/8 - 135*h - 7. Find i, given that m(i) = 0.
-5, -1, 0, 1
Let s(k) be the first derivative of -3*k**6 - 176*k**5/5 - 98*k**4 + 92*k**3 + 205*k**2 - 100*k + 2643. Let s(p) = 0. What is p?
-5, -1, 2/9, 1
Let a(x) = -5*x**2 + 2*x - 6. Let v(t) = 12*t**2 - 3*t + 13. Let b = 8 - 10. Let i(q) = b*v(q) - 5*a(q). Find y such that i(y) = 0.
2
Let n be 11 - 12/(-14)*-7. Let q(k) be the first derivative of 2/9*k**2 - 2/3*k + 2/27*k**3 - n. Factor q(m).
2*(m - 1)*(m + 3)/9
Let h(y) be the first derivative of -y**7/3360 + y**6/120 - y**5/24 - 3*y**3 - 7*y + 69. Let o(s) be the third derivative of h(s). Let o(w) = 0. Calculate w.
0, 2, 10
Let u(o) be the first derivative of -o**6/480 - o**5/120 + 19*o**4/96 + 5*o**3/6 - 8*o**2 + 29. Let y(g) be the second derivative of u(g). Factor y(m).
-(m - 4)*(m + 1)*(m + 5)/4
Let l(k) = 18*k**3 - 153*k**2 + 156*k - 3. Let x(w) = 31*w**3 - 306*w**2 + 310*w - 5. Let z(y) = -5*l(y) + 3*x(y). Let z(d) = 0. What is d?
0, 1, 50
Factor 4/3*r**3 + 80/3*r**2 - 152/3 + 68/3*r.
4*(r - 1)*(r + 2)*(r + 19)/3
Let o(n) = 80*n**2 + 180*n + 145. Let a(j) = 9*j**2 + 20*j + 16. Let x = 201 + -197. Let q(h) = x*o(h) - 35*a(h). Determine d so that q(d) = 0.
-2
Let i(n) be the third derivative of -n**7/2520 - n**6/240 + n**5/12 - n**4/2 - 2*n**3/3 + 16*n**2 - 1. Let k(l) be the second derivative of i(l). Factor k(d).
-(d - 2)*(d + 5)
Determine w so that w**2 - 18/5*w**3 + 144 + 744/5*w + 1/5*w**4 = 0.
-5, -1, 12
Let z(m) = -5*m**4 + m**3 + m + 1. Let w(o) = -275*o**4 + 22423*o**3 - 2196*o**2 - 3097*o + 551. Let u(x) = w(x) + 9*z(x). Let u(y) = 0. What is y?
-2/5, 1/4, 70
Let x(g) = 2*g**2 - g - 6. Let n be x(-3). Factor 4*b + n*b**2 - 9*b**2 - 7*b**2.
-b*(b - 4)
Let y(m) be the first derivative of -m**8/336 + m**7/42 - m**6/20 - m**5/15 + m**4/3 + 49*m**2 - 24. Let c(i) be the second derivative of y(i). Factor c(b).
-b*(b - 2)**3*(b + 1)
Let y = 14277/28574 + 5/14287. Factor 35*c + 1225/2 + y*c**2.
(c + 35)**2/2
Let c(a) be the first derivative of -a**4/4 - 36*a**3 - 3021*a**2/2 - 5618*a - 1189. Factor c(p).
-(p + 2)*(p + 53)**2
What is f in -f - 3 + 7/4*f**2 - 1/4*f**3 = 0?
-1, 2, 6
Let n(g) be the third derivative of -g**7/1680 + g**6/96 - 3*g**5/40 + 17*g**4/8 + g**3/3 - 30*g**2 - 2. Let w(q) be the second derivative of n(q). Factor w(s).
-3*(s - 3)*(s - 2)/2
Let v = 101640351709/2828 + -35940718. Let s = 1/404 + v. Factor 3/7*d**4 - 15/7*d**2 + s*d**3 + 0 + 9/7*d.
3*d*(d - 1)**2*(d + 3)/7
Suppose 23*s + 2 - 117 = 0. Find j such that -j**s - 52*j**2 + 3*j**5 - 46*j**4 - 111*j**3 + 248*j**2 + 92*j**2 + 351*j**3 = 0.
-1, 0, 12
Suppose -224*j - 13*j + 862 = 194*j. Factor 1/3*d**3 + 1 - d**j - 1/3*d.
(d - 3)*(d - 1)*(d + 1)/3
Let l(u) be the third derivative of 9/32*u**4 + 0*u + 1/160*u**5 + 0 + 81/16*u**3 - 5*u**2. Factor l(v).
3*(v + 9)**2/8
Factor -108 - 276/7*n + 4/7*n**2 + 4/7*n**3.
4*(n - 9)*(n + 3)*(n + 7)/7
Suppose -384 = -23*j - 188*j + 19*j. Let x(a) be the second derivative of -40/3*a**3 + 24*a + 4/15*a**6 + 0 - 16*a**2 - j*a**4 + a**5. Factor x(k).
4*(k - 2)*(k + 2)**2*(2*k + 1)
Suppose -16*o + 54 = 11*o. Suppose 54*x + 2193*x**o + 66*x - 2197*x**2 = 0. What is x?
0, 30
Let p(a) = -a**4 + 32*a**3 + 26*a**2 - 8*a - 85. Let y(w) = w**4 - 2*w**3 + 7*w**2 + 2*w + 1. Let u(t) = p(t) + 4*y(t). Factor u(d).
3*(d - 1)*(d + 3)**3
Let z(g) be the second derivative of -g**4/24 - 863*g**3/6 - 744769*g**2/4 - 2*g + 320. Factor z(b).
-(b + 863)**2/2
Let c(t) be the second derivative of -t**4/6 - 22*t**3/3 - 121*t**2 - 385*t. Let c(r) = 0. What is r?
-11
Let i(j) be the third derivative of -9*j**7/70 + 17*j**6/20 + 29*j**5/5 + 3*j**4 + 3885*j**2. Suppose i(q) = 0. What is q?
-2, -2/9, 0, 6
Let y be ((-4)/((-8)/94))/(-1). Let v = -45 - y. Factor -22*w + 14 - w - 16*w**v - 13*w - 22.
-4*(w + 2)*(4*w + 1)
Let z(o) be the second derivative of 0*o**2 + 0 - 2/15*o**3 + 69*o - 1/60*o**4. Let z(i) = 0. Calculate i.
-4, 0
Let h(i) be the first derivative of 5*i**4/4 + 100*i**3/3 - 1455*i**2/2 + 1350*i + 1227. Factor h(q).
5*(q - 9)*(q - 1)*(q + 30)
Let m(v) be the third derivative of v**6/720 + 11*v**5/360 - 19*v**4/24 + 6*v**3 + 4520*v**2. Factor m(p).
(p - 4)*(p - 3)*(p + 18)/6
Let b(r) = -r**4 + r**3 + 2. Let u(i) = 3*i + 21. Let g be u(-8). Let a(x) = 32*x**3 - 79*x**2 + 65*x - 24. Let z(d) = g*b(d) - a(d). Solve z(f) = 0.
2/3, 1, 9
Let n(m) be the third derivative of m**5/80 - 37*m**4/16 - 567*m**3/8 + 2*m**2 - m + 131. Determine c so that n(c) = 0.
-7, 81
Let q be 6/(-4*(-63)/(-6)*(-3)/6). Let q*k**4 - 10/7*k**3 + 4/7 + 18/7*k**2 - 2*k = 0. Calculate k.
1, 2
Let y = -11045 - -11051. Let i(j) be the third derivative of -46*j**2 + 1/96*j**4 + 0*j + 1/480*j**y + 1/120*j**5 + 0*j**3 + 0. Solve i(u) = 0.
-1, 0
Let v(u) be the third derivative of u**8/336 - 47*u**7/210 - u**6/40 + 139*u**5/60 + 47*u**4/12 + 2*u**2 - 231*u. Factor v(z).
z*(z - 47)*(z - 2)*(z + 1)**2
Let i(n) be the first derivative of 4*n**5/35 - 39*n**4/7 + 76*n**3 - 722*n**2/7 - 362. What is w in i(w) = 0?
0, 1, 19
Suppose -3*z - 2*j = 2*z + 23, -2*j + 1 = -3*z. Let d = 6 + z. Solve 3*o**4 + 0*o**3 + 9*o**3 + 12*o - 4*o**3 - 17*o**d + 6*o**2 - 9 = 0 for o.
-1, 1, 3
Factor 988*b + 20*b**4 + 212*b**3 - 392 - 24*b**4 - 471*b**2 - 253*b**2 - 80*b**2.
-4*(b - 49)*(b - 2)*(b - 1)**2
Factor -744975*j - 432*j**3 + 853*j**3 - 748845 - 426*j**3 + 3865*j**2.
-5*(j - 387)**2*(j + 1)
Let c(u) = 7*u - 14. Let n be c(3). Suppose n*t - 728 = 231. What is q in -t - 12*q**2 + 2*q - 2*q**3 - 20*q + 129 = 0?
-4, -1
Let d(y) be the first derivative of y**7/1050 + y**6/600 - y**5/150 - 73*y**2/2 - 12. Let f(j) be the second derivative of d(j). Factor f(o).
o**2*(o - 1)*(o + 2)/5
Suppose 13*h = 25*h + 6*h + 46*h. Determine i, given that -2/3*i**5 + 0 + 0*i**2 + 2*i**4 - 4/3*i**3 + h*i = 0.
0, 1, 2
Let s(c) = 6*c**2 + 3*c - 4. Let t be s(1). Suppose -5*l + 2*p = -109, -2*l + t*l = -p + 61. Solve -l*k**4 + 27*k**4 - 22*k**3 + 6*k - k**2 + 11*k**2 = 0 for k.
-1/3, 0, 1, 3
Let v = -1698093/7 + 242585. Determine z, given that 12/7