vative of 2*z**7/315 - 371*z**6/18 + 859328*z**5/45 + 430592*z**4/9 + 1652*z**2. Factor v(k).
4*k*(k - 928)**2*(k + 1)/3
Let l be (3/6)/((-7)/588*-2). Suppose -6 - 57 = -l*m. Suppose 4/7*x**2 - 2/7*x**4 - 8/7*x**m + 24/7*x - 18/7 = 0. Calculate x.
-3, 1
Suppose -3*r - 5/4*r**2 + 0 - 1/4*r**4 + 3/2*r**3 = 0. What is r?
-1, 0, 3, 4
Suppose 125*b - 129*b - 48 = -4*k, -10*k + 152 = 6*b. Determine n so that -1/3*n**5 + 0 + 1/3*n**4 + 2/3*n**3 + 0*n**b + 0*n = 0.
-1, 0, 2
Factor 30/19*d - 2/19*d**2 - 108/19.
-2*(d - 9)*(d - 6)/19
Let x(f) be the third derivative of 7*f**2 + 7 - 1/48*f**5 - 55/96*f**4 + 0*f - 25/12*f**3. Suppose x(l) = 0. What is l?
-10, -1
Let r(q) = 11*q**3 + 902*q**2 - 1213*q + 300. Let v(y) = -2*y**3 + y**2 + y. Let l(n) = r(n) + 10*v(n). Suppose l(i) = 0. Calculate i.
1/3, 1, 100
Let g(f) be the first derivative of 5*f**3/18 - 1265*f**2/3 + 640090*f/3 + 1871. Let g(u) = 0. Calculate u.
506
Let g(r) = -r**2 - 29*r + 399. Let q be g(10). Suppose j + 1 = -u - 2*j, 3*u - 9 = 3*j. Solve 4*c**4 - 4*c**5 - q*c**3 - 31*c**2 + 15*c**u + 25*c**3 = 0 for c.
-2, 0, 1, 2
Suppose m + 16*m + 247 = 281. Let h(k) be the first derivative of 1/2*k**3 - k + 1/8*k**4 + 2 - 1/10*k**5 - 1/4*k**m. Factor h(f).
-(f - 2)*(f - 1)*(f + 1)**2/2
Let o(c) be the second derivative of -c**4/60 + 3*c**3/10 + 68*c**2/5 + 1054*c + 1. Determine n so that o(n) = 0.
-8, 17
Let k(y) be the first derivative of y**5/160 - y**4/16 - y**3/12 + 3*y**2/2 - 56*y - 158. Let f(s) be the first derivative of k(s). Factor f(h).
(h - 6)*(h - 2)*(h + 2)/8
Let c(a) be the first derivative of -a**3/9 + 40*a**2/3 - 192*a - 6184. Factor c(b).
-(b - 72)*(b - 8)/3
Factor 1/3*f**2 + 23/3*f - 26.
(f - 3)*(f + 26)/3
Let w(b) be the second derivative of 0*b**3 + 39/2*b**2 + 2*b + 0 + 7/30*b**5 + 1/60*b**6 + 5/6*b**4. Let t(p) be the first derivative of w(p). Factor t(f).
2*f*(f + 2)*(f + 5)
Let o(b) be the second derivative of b**5/100 - 13*b**4/20 + 169*b**3/10 - 6*b**2 + 2*b - 25. Let p(n) be the first derivative of o(n). Solve p(f) = 0 for f.
13
Let z(i) be the third derivative of -i**5/60 - 9*i**4/8 - 91*i**3/3 + 427*i**2. Let p be z(-13). Suppose -2*r**2 + 4/3*r - 10/3*r**3 + p = 0. Calculate r.
-1, 0, 2/5
Factor 4/3*v**2 + 0 + 180*v.
4*v*(v + 135)/3
Let z(s) = s**3 + 7*s**2 - 19*s - 88. Let w be z(-8). Suppose t - 4*d = -3 - 15, -3*d + 15 = w. Factor 2/7*j**t + 0 + 2/7*j.
2*j*(j + 1)/7
Let y be (84/(-18))/(-7)*6. What is i in 373*i**y - 412*i**4 - 4*i**2 + 33*i**3 + 3*i**5 - 2*i**2 + 9*i**5 = 0?
0, 1/4, 1, 2
Let x(t) be the second derivative of -4*t + 7 + 1/20*t**5 - 2/3*t**4 - 5*t**2 - 19/6*t**3. Factor x(z).
(z - 10)*(z + 1)**2
Let c(l) = 4*l**2 - 851*l - 894. Let b(k) = 12*k**2 - 2554*k - 2696. Let w(i) = 3*b(i) - 10*c(i). Suppose w(t) = 0. Calculate t.
-1, 213
Let y(i) = i**2 - 14*i - 32. Let k be y(16). Suppose k = 4*t - 14 + 6. Factor -8/3*n**t + 4/3*n**5 + 8/3*n**4 + 0 - 4/3*n + 0*n**3.
4*n*(n - 1)*(n + 1)**3/3
Let b be ((4/28*0)/(10 + -13))/(-1 - 0). Factor -4/3*x**3 - 2/3*x**5 + b*x + 0*x**2 + 0 + 2*x**4.
-2*x**3*(x - 2)*(x - 1)/3
Let f(s) be the second derivative of -9*s**5/100 + 43*s**4/5 - 338*s**3/15 + 112*s**2/5 - 972*s. Factor f(b).
-(b - 56)*(3*b - 2)**2/5
Let r(y) be the first derivative of -y**6/288 + 19*y**5/96 + 25*y**4/24 - 11*y**3/3 - y + 27. Let p(g) be the third derivative of r(g). Factor p(q).
-5*(q - 20)*(q + 1)/4
Solve 990 + 3160 + 2085*z - 2*z**2 + 4*z**2 + 3*z**2 = 0 for z.
-415, -2
Suppose 0 = -2*j + 5*c + 48 + 13, -4*j + 83 = 3*c. Let 146 - 19 + 5*g**2 + 56*g + j - g = 0. Calculate g.
-6, -5
Let n(j) be the second derivative of 5*j**4/12 - 2050*j**3/3 + 420250*j**2 + 1875*j. Suppose n(y) = 0. Calculate y.
410
Let p be 30 + (0 + -6 - 1). Suppose -52 - 17 = -p*m. Factor 3/5*r**2 + 0 + m*r.
3*r*(r + 5)/5
Let v = 194725/6 + -32542. Let c = -8887/102 - v. Determine k so that 2/17*k - 2/17*k**2 + c = 0.
-2, 3
Let a(h) = 8*h - 666*h**2 + 328*h**2 + 328*h**2 - 78 + h**3. Let i be a(10). Let -8/3*c**i + 0 + 2/3*c**3 + 2*c = 0. Calculate c.
0, 1, 3
Let s = 221800728/144355211 - 82/71357. Let p = s + -10/867. Factor p*x + 16/21*x**2 + 0 + 2/21*x**3.
2*x*(x + 4)**2/21
Factor 1613/3*v**2 - 1/3*v + 1/3*v**3 - 1613/3.
(v - 1)*(v + 1)*(v + 1613)/3
Let x(f) be the third derivative of -f**5/20 - 29*f**4/8 + 15*f**3 - 505*f**2 + f. Suppose x(h) = 0. Calculate h.
-30, 1
What is r in 1844/3*r - 8*r**3 + 4/3*r**5 + 232 + 1360/3*r**2 - 232/3*r**4 = 0?
-1, 3, 58
Let d(i) be the first derivative of -i**5/5 + 3*i**4/2 + 17*i**3 + 22*i**2 - 696. Factor d(k).
-k*(k - 11)*(k + 1)*(k + 4)
Let f(v) be the second derivative of -13/50*v**5 - 1/105*v**7 + 0*v**3 + 8/75*v**6 + 0 + 1/5*v**4 + 49*v + 0*v**2. Factor f(w).
-2*w**2*(w - 6)*(w - 1)**2/5
Suppose -2*t - 701 - 117 = 0. Let d = -409 - t. Find n such that 3/5*n - 3/5*n**3 - 6/5*n**4 + d + 6/5*n**2 = 0.
-1, -1/2, 0, 1
Let v = 27 - 21. Let o(s) = -2*s**2. Let z(w) = -w + 77*w**2 + 0*w - 82*w**2. Let f(l) = v*o(l) - 2*z(l). Suppose f(y) = 0. What is y?
0, 1
Let d be (1/(10/15))/(3/12). Factor 36*p**4 + 33*p**4 + 0*p**2 - 3*p**3 - 66*p**4 - d*p**2.
3*p**2*(p - 2)*(p + 1)
Let d be 275/(-3410)*31*(14/(-15) + (-4)/(-6)). Find p, given that 0*p + 1/6*p**4 - 5/6*p**2 + d*p**3 + 0 = 0.
-5, 0, 1
Factor -8/3*b - 30 + 2/3*b**2.
2*(b - 9)*(b + 5)/3
Determine q, given that -16*q**3 - 344/3*q**2 - 320*q - 2/3*q**4 - 896/3 = 0.
-14, -4, -2
Let z(p) be the second derivative of 4 + 1/120*p**6 + p + 3/40*p**5 - 3/8*p**2 + 11/24*p**3 - 1/168*p**7 - 7/24*p**4. Factor z(j).
-(j - 1)**4*(j + 3)/4
Let x(v) be the first derivative of v**7/2940 - v**6/1260 + 5*v**3/3 + 6*v - 41. Let n(m) be the third derivative of x(m). Suppose n(l) = 0. What is l?
0, 1
Let f(m) be the third derivative of -m**5/450 - 1129*m**4/90 - 6309*m**2. Suppose f(p) = 0. Calculate p.
-2258, 0
Let f(a) = 27*a - a**3 + 20 - 3*a**3 + 7*a**2 + 9*a**3 - 6*a**3 - a**3. Let l be f(6). Factor 19/9*k**l - 11/9*k + 1/3*k**4 + 2/9 - 13/9*k**3.
(k - 2)*(k - 1)**2*(3*k - 1)/9
Let j(b) = -b**3 + 6*b**2 + 2*b - 6. Let m be j(5). Let t be ((-10)/3 - 1/(-3)) + m. Factor -15*y**3 - 7*y**2 + 35*y + 16 - t - 3*y**2.
-5*(y - 1)*(y + 2)*(3*y - 1)
Factor 8/3*n + 4/3*n**5 + 0 + 12*n**3 + 28/3*n**2 + 20/3*n**4.
4*n*(n + 1)**3*(n + 2)/3
Let y(n) = -446*n - 7995. Let p be y(-18). Let m(k) be the first derivative of k**2 - 2/21*k**3 + p + 0*k. Factor m(v).
-2*v*(v - 7)/7
Let j(m) be the first derivative of -99/4*m**2 - 93 + m**3 + 24*m. Factor j(g).
3*(g - 16)*(2*g - 1)/2
Let u be ((-24)/(-16))/((-1)/(-2)). Let d be ((-8)/50)/(24/420) + u. Factor 4/5*p + d*p**4 - 4/5*p**3 + 3/5*p**2 - 4/5.
(p - 2)**2*(p - 1)*(p + 1)/5
Let c(x) = -2*x**3 - 81*x**2 - 101*x - 2438. Let k be c(-40). Let -1/3*i**k + 0*i**3 + 0 + 1/3*i**4 + 0*i = 0. Calculate i.
-1, 0, 1
Let f = -33982/5 + 33994/5. Factor 8/5*i + f - 4/5*i**2.
-4*(i - 3)*(i + 1)/5
Let m(q) = 2*q**3 - 2*q**2 - 149*q + 411. Let s be m(3). Factor -4/5*i**5 + 0*i**2 - 2/5*i**3 + 0 + s*i - 9/5*i**4.
-i**3*(i + 2)*(4*i + 1)/5
Suppose -12*i + 3738 = 2*i. Suppose -i*y**4 + 262*y**4 - 15*y**2 - y**3 + 16*y**3 + 5*y = 0. Calculate y.
0, 1
Suppose 1/2*q**2 - 2*q + 0 = 0. What is q?
0, 4
Let d = -37117/13 - -185689/65. Solve -2/5*q**2 - 6/5 + d*q = 0.
1, 3
Let i = -399739 - -399744. Factor 8/5 - 2/5*w**4 - 16/5*w + 2*w**3 + 2/5*w**2 - 2/5*w**i.
-2*(w - 1)**3*(w + 2)**2/5
Let i(p) be the first derivative of p**2/2 + 586. Let t(m) = -2*m**2 + 10*m + 12. Suppose -2 = 2*r - 4. Let l(a) = r*t(a) - 12*i(a). Factor l(x).
-2*(x - 2)*(x + 3)
Factor 489/2 + 487/2*v**2 + 977/2*v - 1/2*v**3.
-(v - 489)*(v + 1)**2/2
Let 635*s**4 + 169280 - 65658*s**2 - 167440*s + 5*s**5 + 167435*s**3 - 57985*s**2 + 1200*s**4 - 47472*s**2 = 0. Calculate s.
-184, -1, 1
Let j = -198/79 + 2414/711. Determine a, given that 26/9*a**3 + 0 + j*a - 28/9*a**2 - a**5 + 1/3*a**4 = 0.
-2, 0, 2/3, 1
Let k(f) be the second derivative of -1/4*f**4 + 105*f**2 - 1 + 186*f + 69/2*f**3. Suppose k(o) = 0. What is o?
-1, 70
Let o(s) be the third derivative of -17/42*s**7 + 13*s**2 - 5/56*s**8 + 1/6*s**5 + 6 + 0*s**3 + 0*s**4 - 3/8*s**6 + 0*s. Determine r so that o(r) = 0.
-2, -1, 0, 1/6
Suppose -5*d + 16 = -d. Let q = 15 + -12. Let -6*p**q - 8*p**2 - 4 - 28*p + d*p**3 + 18*p = 0. Calculate p.
-2, -1
Let n = 571 - 567. Suppose -9