 third derivative of v(p). Factor r(z).
2*(z - 4)*(4*z + 1)/7
Suppose -39 - 24 = -3*g. Suppose 2*q + 73 = 5*r, 0 = 3*r - 4*r + 2*q + g. Factor 6*s**3 + 18*s - 7*s - 4*s**4 - r*s.
-2*s*(s - 1)**2*(2*s + 1)
Suppose 0 = 2*q - 5 + 1. Factor 0*d**2 + 18*d + 9*d**2 - 11*d**q + 14*d.
-2*d*(d - 16)
Let m(i) be the first derivative of -i**5 - 20*i**4 - 205*i**3/3 - 65*i**2 + 1194. Solve m(y) = 0 for y.
-13, -2, -1, 0
Let m = 362 + -357. Find b such that -m*b**2 - 10*b**2 + 2*b**3 + 4*b**2 - 26*b**2 + 5*b**2 = 0.
0, 16
Let t(d) be the second derivative of -d**5/50 + 41*d**4/15 - 79*d**3/15 - 162*d**2/5 + 4404*d. Solve t(j) = 0 for j.
-1, 2, 81
Let u = 1/5797192 - -270473789945/40580344. Factor 0 + 3888/7*w**3 + 209952/7*w + u*w**2 + 2/7*w**5 + 144/7*w**4.
2*w*(w + 18)**4/7
Let b(f) be the third derivative of 1/8*f**4 - 1/100*f**5 - 2*f**2 + 3 + 3/5*f**3 + 0*f. Solve b(a) = 0.
-1, 6
Let h = -2403/94 + 26621/1034. Find n such that 26/11*n + h*n**2 + 4 = 0.
-11, -2
Suppose 4*o + 155 = 35*o. Factor -69*x - 5 - 4*x**2 + o + 57*x.
-4*x*(x + 3)
Let m(s) = -s**2 - 2. Let k(n) = -8*n**2 - 1185*n + 2384. Let b(x) = k(x) - 3*m(x). Solve b(r) = 0.
-239, 2
Let q be ((-15)/10)/((-27)/36). Suppose 12*d**3 - 6*d - 6*d**5 + 71 + 0*d**4 - 4*d**4 + 8*d**q - 75 = 0. What is d?
-1, -2/3, 1
Let b(s) be the second derivative of 1/4*s**4 + 8 + s**3 - 5*s + 3/2*s**2. Factor b(r).
3*(r + 1)**2
Let n be 30/18*1860/1550. Let f = 7/15 + 17/60. Determine h, given that -f*h - 3/2 + 3/4*h**n = 0.
-1, 2
Let l(m) be the second derivative of -80*m**7/63 + 392*m**6/45 - 269*m**5/30 - 85*m**4/18 + 34*m**3/9 + 8*m**2/3 + 1975*m. Determine x, given that l(x) = 0.
-1/4, 2/5, 1, 4
Let p(k) = -2*k**3 + 1060*k - 11250. Let c(t) = -t**3 + t**2 + 529*t - 5625. Let b(g) = 5*c(g) - 2*p(g). Solve b(x) = 0 for x.
-25, 15
Let v(c) be the first derivative of -15*c**2 - 95/3*c + 41 + 5/9*c**3. Factor v(r).
5*(r - 19)*(r + 1)/3
Let k(v) be the third derivative of v**7/1365 + v**6/260 - 21*v**5/130 - 9*v**4/4 - 162*v**3/13 + 7*v**2 + 212. Determine x, given that k(x) = 0.
-6, -3, 9
Let o(n) be the second derivative of -n**7/42 - 38*n**6/5 - 901*n**5/20 - 187*n**4/2 - 224*n**3/3 - 4*n - 1335. Suppose o(m) = 0. What is m?
-224, -2, -1, 0
Let x = 2705 - 1409. Let v = x + -22024/17. Factor v + 2/17*f**2 - 10/17*f.
2*(f - 4)*(f - 1)/17
Let p(w) be the third derivative of -5/2*w**3 + 1/12*w**5 - 1 + 0*w + 5/12*w**4 - w**2. Factor p(m).
5*(m - 1)*(m + 3)
Let a(r) be the third derivative of -r**6/90 - r**5/5 - 5*r**4/6 + 8*r**3/3 - 49*r**2. Let f(y) be the first derivative of a(y). Factor f(m).
-4*(m + 1)*(m + 5)
Let g(k) be the third derivative of -k**7/70 - k**6/4 - 23*k**5/20 - 7*k**4/4 - 12*k**2 - 1. Let g(c) = 0. Calculate c.
-7, -2, -1, 0
Solve 3/4*s**4 + 171 - 237*s - 39/2*s**3 + 447/4*s**2 = 0.
2, 3, 19
Let f(b) = 12*b**2 - 37*b + 11. Let d = 33 + -29. Let p be 1/(-2)*d*(-6)/(-12). Let c(v) = v + 1. Let s(z) = p*f(z) + 2*c(z). Suppose s(x) = 0. Calculate x.
1/4, 3
Let b = -2/2530431 - -2530439/10121724. Determine f, given that -1/8*f**4 - 1/8 + 0*f + 0*f**3 + b*f**2 = 0.
-1, 1
Let p be ((-186)/124)/((-2)/16). Let a be ((-4)/(-12))/((238/p)/17). Suppose 0 + 18/7*z**3 - 48/7*z**2 + 32/7*z - a*z**4 = 0. What is z?
0, 1, 4
Let q = 38 - 37. Let c(y) = 3*y**3 - 53*y**2 + 48*y. Let p(o) = -o**3 + o**2 - o. Let b(r) = q*c(r) - 2*p(r). Suppose b(l) = 0. What is l?
0, 1, 10
Let y = 1229 - 1225. Let m(f) be the second derivative of 10/3*f**3 + 9*f + 25/6*f**y - 1/4*f**5 - 5/42*f**7 - 20*f**2 + 0 - 2/3*f**6. Let m(x) = 0. What is x?
-2, 1
Let w(u) be the first derivative of -2*u**6/15 + 7*u**5/5 - 10*u**4/3 + 40*u - 209. Let o(t) be the first derivative of w(t). Solve o(q) = 0.
0, 2, 5
Factor -10 - 3*p + 4/9*p**2 + 1/9*p**3.
(p - 5)*(p + 3)*(p + 6)/9
Suppose 4*j - 5*m = -j - 2280, 3*m = 0. Let d be ((-1)/(-2))/((-19)/j). Factor d*u + 38*u**2 - 5 + 21 - 42*u**2.
-4*(u - 4)*(u + 1)
Let i(o) be the second derivative of -o**6/180 + o**5/15 + 55*o**3/6 + 109*o. Let s(d) be the second derivative of i(d). Factor s(n).
-2*n*(n - 4)
Let q(g) be the second derivative of -g**5/45 - 7*g**4/18 - 20*g**3/9 - 29*g**2/2 - 70*g. Let d(j) be the first derivative of q(j). Find v such that d(v) = 0.
-5, -2
Let x = 6762940469/20225138136 + 6/7081631. Let j = -1/952 + x. Factor -3*l + 8/3 + j*l**2.
(l - 8)*(l - 1)/3
Let q(c) be the second derivative of c**7/280 + c**6/10 + 9*c**5/8 + 25*c**4/4 - 21*c**3/2 + 29*c. Let m(j) be the second derivative of q(j). Factor m(g).
3*(g + 2)*(g + 5)**2
Let x be (2/24)/(57 - 53300/936). Suppose -1/4*f**4 + 3/4 + 0*f**3 + x*f**2 - 2*f = 0. What is f?
-3, 1
Find h, given that -14/9*h**5 + 574/9*h**3 - 392/3 - 3080/9*h - 34/3*h**4 + 422*h**2 = 0.
-7, -2/7, 1, 6
Factor -12*j**4 + 3*j**4 - 75*j**2 - 65*j**2 + 5*j**4 - 36*j**3 - 12*j**3.
-4*j**2*(j + 5)*(j + 7)
Let x(j) be the second derivative of -j**5/12 - 5*j**4/24 + 4*j**2 - 60*j. Let q(o) be the first derivative of x(o). Solve q(l) = 0 for l.
-1, 0
Let v(p) be the second derivative of -p**6/135 - 3*p**5/10 + 29*p**4/18 - 89*p**3/27 + 10*p**2/3 - 9315*p. Factor v(l).
-2*(l - 1)**3*(l + 30)/9
Let o(s) be the first derivative of -30/7*s**4 - 20 - 7/3*s**6 - 16/21*s**3 - 36/5*s**5 + 0*s + 0*s**2. Factor o(x).
-2*x**2*(x + 2)*(7*x + 2)**2/7
Let a(p) be the first derivative of -2*p**3/3 - 7*p**2/6 - p/3 - 419. Factor a(w).
-(w + 1)*(6*w + 1)/3
Let v(c) be the third derivative of -c**7/210 - 3*c**6/40 + 29*c**5/60 + 27*c**4/8 + 22*c**3/3 - 1550*c**2. Let v(u) = 0. What is u?
-11, -1, 4
Let y(k) be the third derivative of k**8/168 - k**7/21 - 7*k**6/60 + k**5/6 + k**4/2 + 45*k**2 + 12. Solve y(b) = 0 for b.
-1, 0, 1, 6
Let z be (364/104)/((-7)/4). Let c be -1*10/(-20)*(-1 - z). What is u in -1/2 + 1/2*u**2 - c*u**3 + 1/2*u = 0?
-1, 1
Let x(a) be the third derivative of -a**6/100 + a**5/75 + 7*a**4/60 + 2*a**3/15 + 13*a**2 + 3. Factor x(z).
-2*(z - 2)*(z + 1)*(3*z + 1)/5
Let y = 770870 - 770870. Determine a so that 18/13*a**4 + y*a**2 + 8/13*a**5 + 0 + 4/13*a**3 + 0*a = 0.
-2, -1/4, 0
Let c = 38/103 + -467/1545. Let d(h) be the third derivative of 5*h**2 + 0*h - 1/120*h**6 + c*h**5 + 0 + 1/3*h**3 - 5/24*h**4. Let d(y) = 0. Calculate y.
1, 2
Let t be ((-51)/4)/3*(-5 - -1). Suppose 5*s + 3*x + 5 = t, -x = -5*s + 16. Determine i so that 31*i - 5*i**s - 22*i - 24*i - 20*i**2 = 0.
-3, -1, 0
Suppose 0 = 19*j - 14*j - 3255. Factor 0*p**3 - 651*p**2 + j*p**2 - 5*p**5 + 5*p**3.
-5*p**3*(p - 1)*(p + 1)
Let c(f) = -f + 54. Let m be c(27). Solve -m*y**2 - y**5 - 6*y**4 + 911*y**3 + 9*y**4 - 902*y**3 = 0 for y.
-3, 0, 3
Let j(q) be the third derivative of -q**6/600 - 259*q**5/20 - 157302*q**4/5 - 1885682*q**3/15 - 25*q**2 + 88*q. Factor j(v).
-(v + 1)*(v + 1942)**2/5
Let a(g) be the first derivative of -g**4/8 + 97*g**3/2 - 5256*g**2 - 10658*g + 3478. Factor a(h).
-(h - 146)**2*(h + 1)/2
Suppose 11*b = 6*b + 175. Determine f, given that -f**2 - 7*f**2 - 11*f**2 - 50 + b*f + 14*f**2 = 0.
2, 5
Determine u so that -352/5*u**3 - 348/5*u**2 + 0 - 4/5*u**4 + 0*u = 0.
-87, -1, 0
Let p = 337 + -331. Let u(s) = -s**4 + 14*s**3 - 31*s**2 + 6*s. Let f(z) = 15*z**3 - 30*z**2 + 5*z. Let m(t) = p*f(t) - 5*u(t). Let m(q) = 0. What is q?
-5, 0, 1
Let x be (-1 - 13)*(960/70 + -14). Let w(u) be the first derivative of 4/45*u**3 - x - 2/75*u**5 + 0*u**4 - 2/15*u + 0*u**2. Factor w(s).
-2*(s - 1)**2*(s + 1)**2/15
Suppose -113*i = -119*i + 738. Factor -2*s**3 + 10*s**2 - 128*s - i*s + 211*s + 7*s**3.
5*s*(s - 2)*(s + 4)
Suppose -115*i + 96*i + 684 = 0. Suppose -12*b + 0 = -i. Suppose 6/5 - 3/5*q**4 - 3/5*q**2 + 9/5*q**b - 9/5*q = 0. Calculate q.
-1, 1, 2
Suppose 0 = -13*u + 16*u. Suppose -4*w + 4 = -3*t - 8*w, 2*t + 4*w + 4 = u. Factor -4/9*c + t + 2/3*c**3 - 2/9*c**2.
2*c*(c - 1)*(3*c + 2)/9
Let h(k) be the second derivative of k**5/20 + 5*k**4/4 - 11*k**3/3 - 48*k**2 + 78*k + 19. Factor h(s).
(s - 3)*(s + 2)*(s + 16)
Suppose -73*d + 56 = -45*d. Find z, given that -10/7*z + 8/7 + 2/7*z**d = 0.
1, 4
Let x(u) = -3*u**2 - 323*u + 20811. Let j be x(-153). Factor 0 + 4/3*a**2 + 2*a**j + 0*a.
2*a**2*(3*a + 2)/3
Factor 1481 + 13*z**3 - 648*z + 63*z**2 - 10430 - 14*z**3 - 2715.
-(z - 36)**2*(z + 9)
Let p = 221 + -278. Let k be p*(-1)/14 - (-54)/126. Solve -39/2*q**2 + 0 - k*q + 19/2*q**4 - 2*q**5 - 