ose -2*j - 14 = -7*j + 4*o, 12 = 4*j - 4*o. What is y in 2*y - 5*y + 7 - 30*y + 3*y**j + 65 = 0?
3, 8
Let r(p) be the second derivative of -27*p**7/14 - 978*p**6/5 - 14017*p**5/20 - 1839*p**4/2 - 514*p**3 - 140*p**2 - 516*p. Determine x so that r(x) = 0.
-70, -1, -2/9
Let x(j) = -j + 46. Let y be x(42). What is w in -602*w**4 - 38*w**2 + 30*w**2 - w**5 - 12*w**3 + 596*w**y = 0?
-2, 0
Suppose 7*q - 27*q = -80. Factor -6*d**2 + d**2 - 43*d + 11*d**3 + 33*d - d**3 + 5*d**q.
5*d*(d - 1)*(d + 1)*(d + 2)
Factor -2100*i + 2/7*i**2 + 3858750.
2*(i - 3675)**2/7
Let y(l) be the third derivative of -l**5/80 + 145*l**4/32 - 4*l**2 - 2*l - 14. Factor y(d).
-3*d*(d - 145)/4
Let l(v) be the first derivative of -4*v**3/3 + 30*v**2 + 64*v - 1121. What is x in l(x) = 0?
-1, 16
Let p be 1 - 0 - (-6)/((-384)/2824). Let o = -43 - p. Factor -o - 1/4*g - 1/8*g**2.
-(g + 1)**2/8
Let k = 6862 - 6859. Let u(b) be the second derivative of 0*b**k - 3/5*b**6 - 1/6*b**4 + 0 + 3/5*b**5 + 10*b + 0*b**2. Factor u(w).
-2*w**2*(3*w - 1)**2
Let h(b) be the second derivative of -b**5/30 - b**4/3 + 15*b**3 - 97*b**2/2 - 2*b + 32. Let c(w) be the first derivative of h(w). Let c(k) = 0. Calculate k.
-9, 5
Let t(v) be the first derivative of 0*v**2 - 50 + 0*v + 1/4*v**3 + 1/4*v**4 + 1/20*v**5. Factor t(m).
m**2*(m + 1)*(m + 3)/4
Let k = -70 - -88. Factor -c**2 - 17*c**2 + 3*c**4 - k + 0*c + 9*c**2 - 33*c + 9*c**3.
3*(c - 2)*(c + 1)**2*(c + 3)
Factor 22*f + 10*f + 93 + 4 + 80 + 33 - 2*f**2.
-2*(f - 21)*(f + 5)
What is r in -136*r + 48*r**4 - 23 - 310*r**4 - 127*r + 331*r**3 + 24 + 261*r**2 - 68*r**3 = 0?
-1, 1/262, 1
Let j(c) = -c - 1. Let f(n) = n**2. Let h(m) = 2*m**2 + 6*m + 5. Let o(k) = -f(k) + h(k). Let b(q) = 6*j(q) + 3*o(q). Determine u, given that b(u) = 0.
-3, -1
Suppose -2*p = 2*c - 12, -2*c + 3*c + 2*p = 9. Suppose 2*l = -5*r + 39, 3*r - c*l - 48 = -12. Factor -33*q**2 + 23*q**2 - 4 + r + 5*q.
-5*(q - 1)*(2*q + 1)
Let z(h) be the third derivative of -h**8/2352 - h**7/210 + 127*h**6/280 + 235*h**5/84 + 148*h**4/21 + 66*h**3/7 - 6523*h**2. Suppose z(x) = 0. Calculate x.
-22, -1, 18
Suppose -i = 380*g - 377*g - 14, 28 = 5*g + 4*i. Let z(c) be the second derivative of 25*c**2 - 18/5*c**5 - 22*c + 16*c**g + 0 - 85/3*c**3. Factor z(y).
-2*(y - 1)*(6*y - 5)**2
Suppose -7*j + 0*j = -28. Suppose 124*z**3 + j*z**4 + 9*z**2 + 3*z**2 - 140*z**3 = 0. Calculate z.
0, 1, 3
Let u(k) = k**2 + 19*k + 24. Let n be u(-15). Let d be 172/36 + (-8)/n. Let -3*f**3 - f**5 - 3*f**4 - f**2 + 0*f**4 + 0*f**d = 0. What is f?
-1, 0
Let a(r) be the second derivative of -4*r**7/21 + 7*r**6/15 - r**5/5 - r**4/6 + 9*r + 259. What is z in a(z) = 0?
-1/4, 0, 1
Let c(o) be the second derivative of 1/150*o**6 - 12/25*o**5 + 1 - 80*o - 1152/5*o**3 + 72/5*o**4 + 10368/5*o**2. Find j, given that c(j) = 0.
12
Let r(v) = -v**3 + 7. Let n be r(0). Suppose -3*d + 3*w = n*w - 14, 2*d + 6 = 5*w. Factor 122*k + 80*k - 238*k - 4*k**d.
-4*k*(k + 9)
Let q be (1/2 - 43179/4662) + 9. Let o(j) be the second derivative of 0 + 9*j + q*j**3 + 6/7*j**2 - 1/42*j**4. Determine n, given that o(n) = 0.
-1, 6
Let v(p) be the third derivative of -p**8/2856 + 23*p**7/1785 + 26*p**6/255 + 18*p**5/85 - 398*p**2 + 1. Determine y so that v(y) = 0.
-2, 0, 27
Let n(t) be the first derivative of -2*t**5/65 + 4*t**4/13 - 46*t**3/39 + 28*t**2/13 - 24*t/13 + 900. Suppose n(j) = 0. What is j?
1, 2, 3
Let m(x) be the second derivative of x**7/21 - x**6/15 - 43*x**5/10 + 85*x**4/6 - 14*x**3 - 3298*x. Determine n, given that m(n) = 0.
-7, 0, 1, 6
Let l(z) be the first derivative of -z**4/4 - 14*z**3/3 - 29*z**2/2 + 44*z + 825. Factor l(n).
-(n - 1)*(n + 4)*(n + 11)
Let i(p) be the second derivative of -p**7/63 - 34*p**6/45 + 229*p**5/30 - 217*p**4/9 + 80*p**3/3 - 877*p. Find g, given that i(g) = 0.
-40, 0, 1, 2, 3
Let g(q) = 1289*q - 16752. Let t be g(13). Find p, given that 0*p + 0 - 2*p**3 + 1/2*p**4 + 1/2*p**t - 2*p**2 = 0.
-2, -1, 0, 2
Let y(t) be the third derivative of t**5/150 + 53*t**4/12 - 266*t**3/15 - 1242*t**2. Factor y(x).
2*(x - 1)*(x + 266)/5
Solve -58/5*m**2 + 0 - 196/25*m + 6/25*m**3 = 0.
-2/3, 0, 49
Let v be (2/(-4) + -2)/((-1)/42). Determine z so that 70*z + 107 - z**3 - 67*z - v = 0.
-1, 2
Let k = -1241420 + 8689944/7. Find r, given that -k*r**2 - 24/7*r - 36/7 = 0.
-3
Suppose 8*b = -3*z + 6*b - 78, 0 = -z - 3*b - 19. Let w be (-1 - z)*((-80)/(-15) + -5). What is m in 2*m - 5*m**2 - w*m - 13*m + 46 - 21 = 0?
-5, 1
Let 2/13*q**2 + 522242/13 + 2044/13*q = 0. Calculate q.
-511
Let a(k) = 4*k**2 + k - 1. Let l(n) = 3*n**3 + 48*n**2 - 445*n - 319. Let v(c) = -34*a(c) - 2*l(c). Factor v(g).
-2*(g - 4)*(g + 42)*(3*g + 2)
Let g(h) be the third derivative of 19*h**2 + 0*h**3 + 0*h - 7 - 1/108*h**6 + 2/27*h**4 - 1/945*h**7 - 1/135*h**5. Factor g(z).
-2*z*(z - 1)*(z + 2)*(z + 4)/9
Let n(u) = -30*u**4 - 79*u**3 - 185*u**2 - 84*u + 39. Let a(c) = -7*c**4 - 20*c**3 - 45*c - 46*c**2 + 14*c + 9 + 10*c. Let r(m) = 26*a(m) - 6*n(m). Factor r(t).
-2*t*(t + 1)**2*(t + 21)
Let d(g) be the second derivative of g**7/42 - 2*g**6/5 + 41*g**5/20 - 5*g**4/2 - 2*g - 920. Determine a, given that d(a) = 0.
0, 1, 5, 6
Suppose 13*d - 5*o - 21 = 9*d, -15 = 3*o. Let s be (d/(-4))/(40/256). Suppose 1/5*v**2 - 3/5*v**3 + 4/5 + s*v = 0. What is v?
-1, -2/3, 2
Let i(k) be the first derivative of -21/22*k**4 - 206/11*k**3 - 192/11*k - 198 + 426/11*k**2. Solve i(f) = 0 for f.
-16, 2/7, 1
Let b(a) be the third derivative of -a**7/105 + a**5/10 + a**4/6 + 8*a**2 + a - 135. Let b(m) = 0. Calculate m.
-1, 0, 2
Let g(j) be the first derivative of -j**3/2 + 1197*j**2/4 - 1909. Factor g(n).
-3*n*(n - 399)/2
Determine j, given that 208/3*j + 2/3*j**2 - 70 = 0.
-105, 1
Suppose 0 = 11*l - 0*l - 187. Factor 11*i**4 + 25 + 65*i + 7*i**4 - l*i**3 - 16*i**4 + 21*i**2.
(i - 5)**2*(i + 1)*(2*i + 1)
Let d be ((-5)/200*-356)/((-1)/(-18)). Let a = -159 + d. Solve a*m**2 + 4/5 + 2/5*m**3 - 2/5*m**4 - 2*m = 0.
-2, 1
Let v(t) be the first derivative of t**6/660 - 3*t**5/110 - 5*t**4/66 - 61*t**2/2 + 14. Let i(n) be the second derivative of v(n). Solve i(p) = 0.
-1, 0, 10
Suppose -359 = 2*c - 473. Let 1055*j - 6750 + 295*j - c*j**2 + 2*j**3 - 33*j**2 = 0. Calculate j.
15
Suppose 16 = 3*u - i, 4*u - 2*i - 213 = -187. Let f(z) = z**2 - 14*z + 17. Let d be f(13). Let -20/9*m**2 + 8/9*m + 20/9*m**d + 0 - 8/9*m**u = 0. Calculate m.
-1, 0, 2/5, 1
Let o(n) be the third derivative of n**8/168 + 26*n**7/105 + 83*n**6/20 + 104*n**5/3 + 400*n**4/3 - 2348*n**2. Let o(h) = 0. What is h?
-8, -5, 0
Let h = 10109/3 + -2895. Let z = -472 + h. What is j in -50/3*j**2 - 12*j - 245/3*j**5 + 281/3*j**3 + 14*j**4 + z = 0?
-1, -2/5, 2/7, 1
Let p be (-3)/((1 + 0)/(-1)). Let u be 70/42*6/2. Let 12*m**p - 178*m**4 + 6*m**u + 75*m**4 + 88*m**4 - 3*m**2 = 0. What is m?
0, 1/2, 1
Let o be (11 - 1) + 14/(-2). Let x(d) = -d**3 - d**2 - 2. Let q(l) = -l**2 + 20*l - 22. Let i(f) = o*q(f) + 3*x(f). Solve i(h) = 0 for h.
-6, 2
Let b = 119242 + -834679/7. Find o such that b*o - 27/7*o**2 + 9/7*o**3 + 0 + 3/7*o**4 = 0.
-5, 0, 1
Suppose 4*j = 4*h + 40, 28*j - 4*h = 27*j + 28. Let s(d) be the first derivative of -3/26*d**j + 1 + 2/13*d**3 + 2/65*d**5 - 1/13*d**2 + 0*d. Factor s(x).
2*x*(x - 1)**3/13
Let q = 5506/1473 + -526/491. What is u in 16/3*u + q + 2/3*u**3 + 10/3*u**2 = 0?
-2, -1
Let z(w) be the first derivative of -13*w**5/40 - 37*w**4/48 + w**3/6 + w**2 - 3*w + 19. Let t(m) be the second derivative of z(m). Factor t(h).
-(h + 1)*(39*h - 2)/2
Let m(o) be the third derivative of -o**7/315 - 323*o**6/90 - 1152*o**5 + 5832*o**4 - o**2 + 48*o + 13. Factor m(i).
-2*i*(i - 2)*(i + 324)**2/3
Let g(u) be the third derivative of u**7/840 - 5*u**6/12 + 65*u**5/2 + 6875*u**4/3 + 151250*u**3/3 - 6*u**2 - u + 95. Determine j, given that g(j) = 0.
-10, 110
Let c = 200759 + -200755. Factor -16/19*l**3 + 2/19*l**5 - 64/19 + 32/19*l - 4/19*l**c + 32/19*l**2.
2*(l - 2)**3*(l + 2)**2/19
Let g be 1227/6840 - 6/(-30). Let o = -7/152 + g. Factor -o*r**4 + 0*r + 0 + 5/3*r**3 + 0*r**2.
-r**3*(r - 5)/3
Let b(s) = -937*s - 2811. Let h be b(-3). Let i(p) be the first derivative of 0*p**2 + h*p - 2/15*p**5 - 1/6*p**4 - 40 + 0*p**3. Let i(y) = 0. Calculate y.
-1, 0
What is j in 4236/11*j + 2/11*j**2 - 4238/11 = 0?
-2119, 1
Let t(n) be the first d