+ 1/4*z**3 + 795/4*z + 399/4*z**2 = 0. What is z?
-397, -1
Let h(r) be the third derivative of -5/3*r**3 + 3/8*r**5 + 240*r**2 + 5/3*r**4 + 0*r + 0. Factor h(v).
5*(v + 2)*(9*v - 2)/2
Let w(u) be the second derivative of 64/3*u**3 + 66*u**2 + 0 - 1/3*u**4 - 220*u. Factor w(v).
-4*(v - 33)*(v + 1)
Let x be 2680/1273 + 8/(-76). Factor 1/4*a**4 - 5/4*a**x + 0 - a**3 + 0*a.
a**2*(a - 5)*(a + 1)/4
What is q in -111 + 3453*q - 3*q**2 - 6765*q + 3426*q = 0?
1, 37
Let d(w) = w**2 + w - 6. Let h(v) = -8*v**2 - 253*v + 18. Let i(b) = -3*d(b) - h(b). Factor i(f).
5*f*(f + 50)
Let q(v) = 6*v**3 - 106*v**2 + 261*v - 183. Let w(k) = 3*k**3 - 54*k**2 + 129*k - 90. Let s(f) = 6*q(f) - 11*w(f). Find h, given that s(h) = 0.
1, 4, 9
Let n(g) be the second derivative of -g**4/84 + 460*g**3/21 - 105800*g**2/7 - 2*g + 271. Let n(z) = 0. What is z?
460
Let g(p) be the first derivative of 2*p**5/35 - 38*p**4/7 + 594*p**3/7 + 22264*p**2/7 + 42592*p/7 - 4935. Solve g(r) = 0.
-11, -1, 44
Suppose 4*f - 15 - 15 = 3*i, -4*f - 2*i = -40. Let k be (-116)/(-36) + (-27)/f. Determine t so that 8/9 + 4/3*t**2 - 2*t - k*t**3 = 0.
1, 4
Let z(r) be the second derivative of -5*r**4/12 - 65*r**3 + 400*r**2 - 432*r. Factor z(o).
-5*(o - 2)*(o + 80)
Let j = -680/3 - -230. Let y be 8/3 - 0/(7/1). Factor -y - j*l**2 + 8*l.
-2*(l - 2)*(5*l - 2)/3
Let v(c) be the second derivative of c**5/5 - 23*c**4/3 + 64*c**3 - 216*c**2 + 588*c + 2. Factor v(z).
4*(z - 18)*(z - 3)*(z - 2)
Factor 0 + 2/3*q**3 + 16*q**2 - 50/3*q.
2*q*(q - 1)*(q + 25)/3
Let c(x) be the second derivative of -x**5/40 + 17*x**4/6 - 197*x**3/12 + 65*x**2/2 - 2*x + 2211. What is a in c(a) = 0?
1, 2, 65
Let j(b) = -13*b**4 + b**3 - 2*b**2 + 26*b + 30. Let g(s) = -11*s**4 - s**2 + 25*s + 25. Let q(x) = 6*g(x) - 5*j(x). What is w in q(w) = 0?
-5, -2, 0, 2
Suppose 11*s + 188 = 15*s. Suppose 64 = 4*g - x + 2, s = 3*g - x. Solve 10*y**2 - 23 - 5*y**3 + 23 + g*y = 0 for y.
-1, 0, 3
Let r(k) be the third derivative of -15/8*k**6 + 0*k - 2 + 5/6*k**5 + 5*k**2 + 25/6*k**4 + 0*k**7 - 20/3*k**3 + 45/112*k**8. Factor r(q).
5*(q + 1)**2*(3*q - 2)**3
Let v = -1017 - -1021. Let z(m) be the second derivative of -1/70*m**6 - 24*m + 0 - 9/14*m**2 - 1/7*m**3 + 1/7*m**v + 3/70*m**5. Solve z(w) = 0.
-1, 1, 3
Let q be 7*(-6)/(-1407) + 102044/64990. Factor 1/5*n**2 + 4/5 + q*n - n**3 - 1/5*n**4 + 1/5*n**5.
(n - 2)**2*(n + 1)**3/5
Let v(h) = 9*h**3 + 3*h**2 - 8*h + 4. Let i be v(1). Let z = 41 - 19. Solve 26 - 6*b**2 - 40 + z - 2*b**4 + 8*b**3 - i*b = 0 for b.
-1, 1, 2
Suppose z = -9*z + 890. Suppose 0 = 5*w - z - 81. Factor w*j + 7 + 43*j - j**3 + 9*j**2 - 92*j.
-(j - 7)*(j - 1)**2
Let p(r) be the first derivative of -r**6/105 + r**5/14 + r**4/7 - 215*r + 165. Let v(j) be the first derivative of p(j). Suppose v(x) = 0. Calculate x.
-1, 0, 6
Let b(u) be the second derivative of u**5/20 + 27*u**4/8 + 25*u**3 + 143*u**2/2 + 17*u. Let w(i) be the first derivative of b(i). Let w(j) = 0. Calculate j.
-25, -2
Let o be 1/10*(648/27 + 11). Suppose 13/2*h - 1 + o*h**2 = 0. Calculate h.
-2, 1/7
Let f(y) be the second derivative of -y**5/20 + y**4/3 + 2*y**3 - 15*y**2 + 6*y. Let p be f(5). Factor 10*l**p + 7*l**5 - 25*l**5 + 4*l**3 - 4*l**4.
-4*l**3*(l + 1)*(2*l - 1)
Let b(m) = -2*m**4 + m**3 + m**2 + m. Let t be (24/(-10))/(16/(-80)). Let v(u) = 20*u**4 - 16*u**3 - 4*u**2 - 12*u. Let g(i) = t*b(i) + v(i). Factor g(f).
-4*f**2*(f - 1)*(f + 2)
Let a(u) be the second derivative of 0*u**3 + 0*u**2 - 2 + 0*u**4 - 1/294*u**7 - 1/42*u**6 + 3/70*u**5 + 4*u. Factor a(b).
-b**3*(b - 1)*(b + 6)/7
Let v(y) be the second derivative of -3*y**2 + 6 - 1/18*y**4 - 9*y + 2/3*y**3. Factor v(c).
-2*(c - 3)**2/3
Suppose -46*g + 542084 = 542084. Factor g - 34/3*d - 2/3*d**2.
-2*d*(d + 17)/3
Factor 457620*t + 1240*t**4 - 92320*t**3 - 798848 - 3936*t**5 - 504459*t - 1141321*t - 149799*t**2 - 434201*t**2 + 3932*t**5.
-4*(t - 158)**2*(t + 2)**3
Let s(c) be the second derivative of -c**4/54 + 47*c**3/27 + 16*c**2/3 + c - 707. Factor s(i).
-2*(i - 48)*(i + 1)/9
Let y(a) be the third derivative of 1/350*a**7 + 0*a + 0 - 1/50*a**5 + 0*a**4 + 45*a**2 + 0*a**3 + 1/200*a**6. Factor y(v).
3*v**2*(v - 1)*(v + 2)/5
Factor -2/13*f**2 + 86/13*f - 840/13.
-2*(f - 28)*(f - 15)/13
Let s(z) be the third derivative of 7*z**5/300 - 769*z**4/60 - 44*z**3/3 - 588*z**2 - 4. Suppose s(k) = 0. What is k?
-2/7, 220
Let k(n) be the second derivative of 13*n**4/54 - 2*n**3/9 - 7*n**2/9 - 63*n - 7. Factor k(l).
2*(l - 1)*(13*l + 7)/9
Let s = 177/86 - -8813/774. Factor -s - 1/9*z**2 + 22/9*z.
-(z - 11)**2/9
Let w(n) be the second derivative of 0*n**2 + 1/51*n**4 - 38*n - 1/170*n**5 + 0 + 0*n**3 - 1/255*n**6. Suppose w(b) = 0. Calculate b.
-2, 0, 1
Let o = 1050 - 1045. Let s be 36/(o + 0/(-2)). Factor 4/5*q + 0 + 109/5*q**3 + s*q**2 + 126/5*q**4 + 49/5*q**5.
q*(q + 1)**2*(7*q + 2)**2/5
Suppose -6*g - 2251 = 3257. Let h be (-108)/g - 32/(-17). What is j in j + 1/4*j**h + 1 = 0?
-2
Let a(u) = -u**2 - 16*u - 40. Let v be a(-8). What is x in 22*x**2 - 11*x**3 - 20*x**3 - 2*x + 75*x**5 - v*x**4 + 2 + 17*x - 59*x**5 = 0?
-1, -1/4, 1, 2
Solve 440/3 + 0*r**2 - 148*r + 4/3*r**3 = 0 for r.
-11, 1, 10
Let r(m) be the third derivative of 11*m**6/780 - 86*m**5/39 + 433*m**4/4 - 78*m**3 + 11*m**2 + m - 35. Factor r(j).
2*(j - 39)**2*(11*j - 2)/13
Factor -467744*w**4 + 228*w + 2 + 3852*w**2 + 486944*w**4 + 1 - 18240*w**3.
3*(2*w - 1)**2*(40*w + 1)**2
Let m(y) be the second derivative of 0 - 45*y**2 - 5/12*y**4 + 15/2*y**3 - 89*y. Solve m(j) = 0.
3, 6
Let a(b) be the second derivative of -7*b**7/6 - 2261*b**6/30 - 2621*b**5/2 - 1097*b**4/6 + 5681*b**3/2 - 4761*b**2/2 - 1300*b. Solve a(s) = 0.
-23, -1, 3/7
Let y(i) = -4*i + 24. Let o be y(-4). Suppose -3*z + 25 + 26 = 0. Factor 25*m**4 - 10*m - z + 17 - 5*m**5 - 5*m**2 - 45*m**3 + o*m**2.
-5*m*(m - 2)*(m - 1)**3
Let b = 57216 + -114431/2. Let z be 2/(-4) - 14/(-4). Factor 0 + 1/2*w + 0*w**2 - b*w**z.
-w*(w - 1)*(w + 1)/2
Let u(m) = -m**3 - 15*m**2 - 39*m + 2. Let y be u(-7). Let x be (-5 + y/(-27))*6/(-8). Factor 3/4*o**2 - 1/4*o + 1/4*o**3 - x - 1/4*o**4.
-(o - 2)*(o - 1)*(o + 1)**2/4
Let t = 15244 + -15241. Let f(k) be the second derivative of 3*k + 0 + 72*k**2 + 1/3*k**4 + 8*k**t. Let f(i) = 0. Calculate i.
-6
Let o be (31/62)/(0 - -13). Let m(j) be the first derivative of -3/13*j**2 + 16 - 8/39*j**3 - o*j**4 + 0*j. Find t, given that m(t) = 0.
-3, -1, 0
Let -1/5*n**2 - 153/5 - 154/5*n = 0. What is n?
-153, -1
Let c(m) be the second derivative of m**7/210 - 3*m**6/50 - 31*m**5/100 + 97*m**4/60 + m**3 - 44*m**2/5 + 4551*m. Solve c(j) = 0.
-4, -1, 1, 2, 11
Suppose 0 = 7738*b - 2589*b - 10298. Suppose 10/7*i**3 + 0 + 1/7*i**4 + 33/7*i**b + 36/7*i = 0. Calculate i.
-4, -3, 0
Let h be (54 + -69 + 12 + 0)/(-1). Factor 1/2*c**2 + 1/4*c**h + 1/4*c + 0.
c*(c + 1)**2/4
Let w = 53 - 46. Suppose 3 - 17 = -w*n. Factor 5*k**3 - 23*k + 20 + 0*k + 3*k - 5*k**n.
5*(k - 2)*(k - 1)*(k + 2)
Let w be 1/(((-30)/(-125))/6). Let t = w - 16. What is q in -12*q**2 + t*q + 14*q**2 - 5*q - 6 = 0?
-3, 1
Let o(g) be the third derivative of g**5/72 + 73*g**4/144 + 46*g**2 - 2*g + 2. Find t such that o(t) = 0.
-73/5, 0
Let y = 208 - 204. Solve -36*a**4 - 7*a**3 + 34*a**2 - 16*a**3 - y*a - 31*a**3 = 0.
-2, 0, 1/6, 1/3
Let g(f) be the third derivative of 2 - 1/390*f**5 + 0*f + 5/156*f**4 - 11*f**2 + 0*f**3. Factor g(u).
-2*u*(u - 5)/13
Determine y so that 1305*y + 666686458 - 666686458 - 3*y**2 = 0.
0, 435
Let c = -758168347/1473668310 + 47/465614. Let f = 4/211 - c. Determine d so that -16/15*d**2 - 2/3*d**3 - f*d + 0 - 2/15*d**4 = 0.
-2, -1, 0
Suppose -2*y + 36 = -5*u, 4*y - 7*u - 44 = -4*u. Let v be (y*3/18)/((-2)/(-3)). Factor 2/3*o**4 + 0 + 8*o - 16/3*o**v - 2/3*o**3.
2*o*(o - 2)**2*(o + 3)/3
Let c be (-4 + (-504)/(-128))*(224/12 + -24). Determine h, given that -c*h**3 + 4*h**2 + 0*h - 256/3 = 0.
-4, 8
Let j(c) be the first derivative of 170*c**3/3 + 685*c**2/2 + 20*c + 981. Find x, given that j(x) = 0.
-4, -1/34
Let f(m) be the third derivative of -1/4*m**4 + 13*m**2 + 2/3*m**3 + 0*m + 1/30*m**5 + 0. Let f(k) = 0. Calculate k.
1, 2
Determine z so that -8/5*z**5 - 1040*z**3 - 7600*z**2 - 24000*z - 66*z**4 - 20000 = 0.
-10, -5/4
What is t in -240*t - 465/2*t**2 - 215/4*t**3 + 280 - 15/4*t**4 = 0?
-7, -4,