derivative of w(c). Factor i(q).
-2*(q + 1)*(q + 2)**2
Let f(o) be the second derivative of -1/180*o**6 - 1 - 1/60*o**5 - 5/18*o**3 + 266*o + 13/72*o**4 + 0*o**2. Suppose f(r) = 0. What is r?
-5, 0, 1, 2
Suppose -5*o + 436 = 3*w, 3*o = 23*w - 28*w + 732. Let a be (76/(-50))/((w/(-28))/21). Factor -a*j + 32/25 + 32/5*j**2 + 2*j**3.
2*(j + 4)*(5*j - 2)**2/25
Let v(b) be the second derivative of 25/18*b**4 - 4/45*b**6 + 166*b + 1/10*b**5 + 0*b**2 + 0 + 2/3*b**3. What is d in v(d) = 0?
-2, -1/4, 0, 3
Let q(h) be the second derivative of h**6/75 + 8*h**5/25 + 23*h**4/15 - 48*h**3/5 + 81*h**2/5 - 3*h + 44. Find a such that q(a) = 0.
-9, 1
Let y = 58522 + -994860/17. Factor y + 114/17*u**2 + 82/17*u - 18/17*u**3.
-2*(u - 7)*(3*u + 1)**2/17
Let f = 162 + -162. Let y be (-3)/6*9/(-18)*f. Factor 0*u + 0 - 1/6*u**3 - 1/6*u**5 - 1/3*u**4 + y*u**2.
-u**3*(u + 1)**2/6
Let a(c) be the first derivative of -c**4/6 + 8*c**3/9 + 963. Factor a(z).
-2*z**2*(z - 4)/3
Let x(f) = -f**2 + 78*f + 338. Let a be x(57). Let b = a - 1530. Suppose -3*h - 3/2*h**b + 9/2*h**3 + 3/2*h**4 - 3/2*h**2 + 0 = 0. Calculate h.
-1, 0, 1, 2
Let c(n) be the second derivative of 3*n**5/40 + 11*n**4/12 - 17*n**3/12 - 2*n**2 - 90*n + 10. Find d such that c(d) = 0.
-8, -1/3, 1
Factor -d**2 - 179*d + 4*d**2 - 82*d + 75*d.
3*d*(d - 62)
Let n(p) be the second derivative of -p**5/50 + 5*p**4/3 + 541*p**3/15 - 118*p**2 - 1810*p - 1. Factor n(t).
-2*(t - 59)*(t - 1)*(t + 10)/5
Let l be (-3 + (-49)/(-3))*(-2505)/(-4008). Determine i, given that -l*i**3 - 5/3*i**2 + 10/3*i - 10/3*i**4 + 0 = 0.
-2, -1, 0, 1/2
Let s = 58 + -54. Let u(g) be the third derivative of 0 + 1/120*g**6 + 0*g + 5/8*g**4 - 25/6*g**3 + s*g**2 + 3/20*g**5. Let u(b) = 0. What is b?
-5, 1
Let c(k) be the second derivative of k**4/8 - 21*k**3/2 + 351*k**2/4 - 1488*k. Factor c(z).
3*(z - 39)*(z - 3)/2
Suppose 49*c**2 - 50*c**2 - 21*c + 2584 - 2674 = 0. What is c?
-15, -6
Let z(f) be the third derivative of -f**5/100 + 21*f**4/8 + 53*f**3/5 - 2*f**2 - 433. Factor z(a).
-3*(a - 106)*(a + 1)/5
Let h(u) be the first derivative of u**6/24 - u**5/2 - 41*u**4/8 + 250*u**3/3 - 1719*u**2/8 + 405*u/2 + 1002. Solve h(f) = 0.
-10, 1, 9
Let s(a) = 6*a + 244. Let c be s(-43). Let u be c/(-4)*(1395/420 + -3). Factor -u*x**2 + 3/8*x**3 - 3/8*x + 9/8.
3*(x - 3)*(x - 1)*(x + 1)/8
Let h(j) be the second derivative of j**6/3 - 21*j**5/10 - 38*j**4/3 + 112*j**3 - 64*j**2 - 67*j + 12. Factor h(w).
2*(w - 4)**2*(w + 4)*(5*w - 1)
Factor -10/3*h**2 - 8/3*h + 1/3*h**4 + 0 - 1/3*h**3.
h*(h - 4)*(h + 1)*(h + 2)/3
Let u = 1506 - 1502. Let a(n) be the first derivative of 1/2*n - 3/16*n**u + 1/40*n**5 - 11 - 3/4*n**2 + 13/24*n**3. Factor a(c).
(c - 2)**2*(c - 1)**2/8
What is o in -136*o**2 - 132*o - 45 - 5*o**3 + 3*o**4 + 10*o**3 + 10*o**2 - 41*o**3 = 0?
-1, 15
Let a = -173 - -93. Let n be 4/20*-2*a. Factor -7*g + 2*g**2 + n - 17*g + g**2 + 16.
3*(g - 4)**2
Let p(h) be the second derivative of -h**4/84 - 643*h**3/7 - 3721041*h**2/14 + 46*h + 3. Determine u so that p(u) = 0.
-1929
Let j be (2100/35)/(425/204). Suppose -1/5*i**3 - j*i + 0 - 24/5*i**2 = 0. Calculate i.
-12, 0
Suppose -3*p + 2*z = -0*z - 17, 4*p + 3*z = 17. Let v(l) be the second derivative of -2*l**3 + 0*l**4 + 0 + 24*l + 0*l**2 + 3/20*l**p. Solve v(k) = 0.
-2, 0, 2
Let t(j) be the first derivative of j**5/5 + j**4/2 - 13*j**3/3 + 5*j**2 - 5177. Factor t(w).
w*(w - 2)*(w - 1)*(w + 5)
Let l be (-6)/(-538)*((-112)/24)/1. Let r = l - -9244/1883. Let -8/7*m - 58/7*m**4 + 66/7*m**2 - 8/7 + 6*m**5 - r*m**3 = 0. What is m?
-1, -2/7, 2/3, 1
Let y(t) be the second derivative of 13/6*t**3 - 1/16*t**4 + 3*t - 17/8*t**2 - 19. Factor y(o).
-(o - 17)*(3*o - 1)/4
Let j(q) be the third derivative of -q**7/5040 - q**6/720 - q**5/240 + 5*q**4/12 - q**3/3 - 20*q**2. Let h(k) be the second derivative of j(k). Factor h(v).
-(v + 1)**2/2
Let d(u) = -4*u**3 + 12*u**2 - 44*u + 36. Let l(i) = -19*i**3 + 59*i**2 - 221*i + 181. Let j(x) = 29*d(x) - 6*l(x). Find a, given that j(a) = 0.
-7, 1, 3
Let l be 27/18 - (-846)/(-12). Let i be 46/(-16) + l/(-23). Find k, given that 1/4*k**2 + 0 + 1/8*k - i*k**5 + 0*k**3 - 1/4*k**4 = 0.
-1, 0, 1
Suppose 567*k - 565*k - 2*w = -4, -4*w + 16 = 0. Let x(o) be the first derivative of -1/3*o**3 - 17 - 16*o + 4*o**k. Determine j so that x(j) = 0.
4
Suppose 35 + 5/2*l**3 - 135/2*l + 30*l**2 = 0. Calculate l.
-14, 1
Let o(x) = -27*x**2 - 89*x - 8. Let i(q) = -108*q**2 - 349*q - 32. Let g(r) = -3*i(r) + 13*o(r). Let g(w) = 0. What is w?
-4, -2/27
Suppose -4*y + 105 = 5*n, 2*y - n - 37 = -2. Let a = y - 18. Factor -46*v + 5*v**a + 4*v - 27*v + 9*v + 180.
5*(v - 6)**2
Let i(n) = -2*n**2 + 12*n + 42. Let a = 340 + -342. Let b(g) = 6*g**2 - 34*g - 127. Let k(z) = a*b(z) - 7*i(z). Factor k(v).
2*(v - 10)*(v + 2)
Let n(o) = 7*o**2 + 8*o + 52. Let l be n(-4). Let v be (-88)/l*12/(-11). Let 2/11*d**3 - v*d + 8/11 - 2/11*d**2 = 0. What is d?
-2, 1, 2
Let z be (4/3)/(805/(-230) - -5). Find g, given that -430/9*g**2 - 636*g - z*g**3 + 162 = 0.
-27, 1/4
Let x(t) be the third derivative of -t**8/1008 - 41*t**7/630 - 97*t**6/120 + 1129*t**5/180 - 152*t**4/9 + 70*t**3/3 - 1635*t**2. Suppose x(l) = 0. Calculate l.
-30, -14, 1
Let o(c) be the first derivative of c**4/12 - 46*c**3/9 + 114*c**2 - 1080*c - 33. Factor o(r).
(r - 18)**2*(r - 10)/3
Let o be (-3)/6 - (-7)/2. Suppose 219 = -12*k + 231. Let d(l) = 1. Let a(x) = x**3 - 4*x**2 + 5*x - 5. Let v(c) = k*a(c) + o*d(c). Factor v(q).
(q - 2)*(q - 1)**2
Let a(t) be the first derivative of t**6/240 + t**5/15 - 15*t**4/16 + 3*t**3 + 127*t**2 + 286. Let h(w) be the second derivative of a(w). What is q in h(q) = 0?
-12, 1, 3
Let n(r) be the second derivative of -r**4/6 + 487*r**3/21 - 276*r**2/7 - 122*r + 21. Factor n(y).
-2*(y - 69)*(7*y - 4)/7
Let a(h) = 8*h**3 + 16*h + 16. Let x be a(13). Let d be 2/(-6)*1 + x/120. Solve -25*k**2 + 2*k**3 - d*k - 4*k**3 + 128*k - 3*k**3 = 0.
-4, -1, 0
Let o = 35 + -18. Suppose -5*h + 3 = -o. Solve 2*y + h*y**4 + 4 - 10*y**3 - 8*y**2 + 2*y**5 + y**3 + 5*y**3 = 0.
-2, -1, 1
Let t(f) be the third derivative of f**11/1330560 - f**10/604800 + 133*f**5/60 + 11*f**2 - 1. Let q(j) be the third derivative of t(j). Factor q(u).
u**4*(u - 1)/4
Let q be (-3)/81*-570 - 4/(-18). Let f(l) be the first derivative of -22*l**2 + 8*l + 6 + q*l**3 - 7*l**4. Factor f(b).
-4*(b - 1)**2*(7*b - 2)
Let j be (9 - 7) + 0/1. Let -j*q**4 + 6*q**4 + 2*q**2 + 8*q - 7*q**2 - 7*q**2 = 0. What is q?
-2, 0, 1
Let d be (28/28)/(1/3). Let u(l) be the third derivative of 1/20*l**5 + 0*l**4 + 0*l - 1/80*l**6 + 17*l**2 + 0 + 0*l**d. Determine k so that u(k) = 0.
0, 2
Suppose l + 75 = 2*q + 72, 0 = -3*l + 3. Let k be 16/72*((-20)/(-4) - q). Factor k*d**3 - 2*d**2 + 0 + 0*d.
2*d**2*(d - 3)/3
Let t = -588127/9 + 65353. Solve -10/3*x**4 - 46/3*x**3 - 8 + 32/3*x + 94/9*x**2 + t*x**5 = 0.
-6/5, 1
Suppose -5*g + 4*i = 47, -g = -2*g - i - 13. Let h be (-4)/16*16/g. Suppose h - 6/11*f + 2/11*f**2 = 0. Calculate f.
1, 2
Find s such that 390*s + 245*s**2 + 5*s**4 + 2603*s**3 - 1271*s**3 - 1272*s**3 + 200 = 0.
-5, -4, -2, -1
Let i(h) be the second derivative of -h**7/168 - h**6/24 + 9*h**5/80 + 17*h**4/48 - h**3/3 - 3*h**2/2 + 231*h - 19. Determine y so that i(y) = 0.
-6, -1, 1, 2
Let a(h) be the first derivative of -37 - 81*h - 1/3*h**3 + 9*h**2. Determine t, given that a(t) = 0.
9
Let u(p) = -2*p + 19. Let n be u(7). Suppose 2*t + 1 = -2*b + 15, 3*t - n*b = -11. Suppose -4*j + 4*j**3 + j**3 - 2*j**4 - t*j**3 + 2*j**3 + 2 = 0. What is j?
-1, 1
Let l(y) = -y**2 - 19*y - 87. Let u be l(-9). Suppose -6*n**u - 3*n**4 + 50463 - 50463 = 0. What is n?
-2, 0
Let k = 2383/29316 + 5/2443. Let y(s) be the second derivative of -7/12*s**3 - s**2 - 6*s + 0 - k*s**4 + 1/40*s**5. Factor y(v).
(v - 4)*(v + 1)**2/2
Let y(t) be the third derivative of t**6/24 + 5*t**5/6 - 5*t**4/6 - 100*t**3/3 - 164*t**2 + 2. Find p, given that y(p) = 0.
-10, -2, 2
Suppose 171 = 83*v - 26*v. Let i be ((-2)/(-4))/(-19 + v + 17). Solve 2 + 0*p - i*p**2 = 0.
-2, 2
Let v be (-6)/14*4/(-6). Let k be -61 + (-20 - (-9673)/119). Suppose 4/7*n**4 - 4/7*n**3 + k*n + v*n**5 - 8/7*n**2 + 4/7 = 0. What is n?
-2, -1, 1
Let m be -101*(0 + 1/(-1)). Let p = 103 - m. Factor -15*h**p + 7 + 35*h**2 - 28*h + 1.
4*(h - 1)*(5*h - 2)
Le