g - 3. Determine x, given that m(x) = 0.
-13, 0, 2/5, 4
Let c(f) = -46*f + 653. Let s be (-1)/(2/(-8)*(-14)/(-49)). Let m be c(s). Let -m*d - 21/2 + 3/2*d**2 = 0. Calculate d.
-1, 7
Let c(g) = g**2 + 7*g + 1. Let t(u) = -2*u**3 + 19*u**2 + 67*u + 15. Let z(h) = -22*c(h) + 2*t(h). Find q, given that z(q) = 0.
1, 2
Let w(j) be the third derivative of 0*j**3 + 8/15*j**5 - 14*j**2 - 1/168*j**8 + 0*j + 4/3*j**4 + 0*j**6 - 4/105*j**7 + 0. Solve w(q) = 0 for q.
-2, 0, 2
Factor 1/2*a**4 + 123/2*a**2 + 130 + 67/2*a**3 - 451/2*a.
(a - 1)**2*(a + 4)*(a + 65)/2
Let n(y) be the third derivative of -y**7/42 + 7*y**6/24 - 17*y**5/12 + 85*y**4/24 - 5*y**3 + 2*y**2 + 561*y. Factor n(w).
-5*(w - 3)*(w - 2)*(w - 1)**2
Let h be 608/384 + (-20)/16. Let p(d) be the third derivative of -1/40*d**5 + 0*d**4 + 0 + 0*d + h*d**3 + 2*d**2 - 1/240*d**6. Determine x, given that p(x) = 0.
-2, 1
Let q(c) be the first derivative of 7 + 0*c**2 + 1/4*c**4 - 3/40*c**5 + 14*c - 1/4*c**3. Let j(x) be the first derivative of q(x). Factor j(n).
-3*n*(n - 1)**2/2
Let c be (8 + 24)/4*(-7)/(-28)*1. Let l(o) be the first derivative of -1/2*o**c - 7/6*o + 1/18*o**3 - 9. Factor l(g).
(g - 7)*(g + 1)/6
Let h(t) be the second derivative of -t**6/15 + 43*t**5/10 - 545*t**4/6 + 1577*t**3/3 + 2166*t**2 + 3804*t. Suppose h(w) = 0. What is w?
-1, 6, 19
Let o(t) be the second derivative of t**6/40 - 459*t**5/80 + 37*t**4/4 + 153*t**3/2 - 228*t**2 + 862*t - 2. Determine r so that o(r) = 0.
-2, 1, 2, 152
Let i(w) be the second derivative of 0*w**2 + 1/8*w**4 + 1 + 11/4*w**3 - 82*w. Find z such that i(z) = 0.
-11, 0
Let o(b) = -17*b**2 + 13*b - 28. Let m be o(4). Let p = 250 + m. Determine r, given that 0 + 4/7*r**3 - 2/7*r + 0*r**p - 2/7*r**5 + 0*r**4 = 0.
-1, 0, 1
Factor 2*k**3 + 1693*k - 81*k**2 + 59*k**2 - 1897*k.
2*k*(k - 17)*(k + 6)
Let p be 9 - (-3)/3 - (-1180 + 1190). Determine q, given that p + 3/4*q - 1/4*q**2 = 0.
0, 3
Factor 2/5*p**3 + 126*p - 314/5 - 318/5*p**2.
2*(p - 157)*(p - 1)**2/5
Let l = 37650/7 - 5374. Find k such that 2/7*k**2 + l + 2/7*k**4 + 12/7*k**3 - 48/7*k = 0.
-4, 1
Suppose 17*h = -h + 22104. Let w = h - 8592/7. Solve 0*d**2 - 6/7*d + 2/7*d**3 - w = 0 for d.
-1, 2
Let s(k) be the second derivative of -35*k**2 - 5/12*k**4 + 15/2*k**3 + 27*k + 0. Factor s(c).
-5*(c - 7)*(c - 2)
Suppose 0 = -2*q + 5 - 1. Factor -13*g**3 - 24*g**q + 432 - 12*g**2 + 17*g**3.
4*(g - 6)**2*(g + 3)
Let a = -181 - -181. Let m(w) be the third derivative of a*w - 11*w**2 + 1/36*w**4 + 0*w**3 + 0 - 1/180*w**5. Factor m(l).
-l*(l - 2)/3
Let o(x) be the third derivative of x**5/100 + 11*x**4/20 + 117*x**3/10 + 85*x**2 - 17*x - 1. Factor o(c).
3*(c + 9)*(c + 13)/5
Let i(b) = 7*b**3 + 43*b**2 - 186*b. Let u(d) = 6*d**3 + 42*d**2 - 190*d. Let h(y) = -5*i(y) + 6*u(y). Solve h(p) = 0 for p.
-42, 0, 5
Let m(k) be the third derivative of 55*k**8/42 - 662*k**7/105 + 111*k**6/10 - 113*k**5/15 + k**4/6 + 4386*k**2. Factor m(y).
4*y*(y - 1)**3*(110*y - 1)
Let x(y) be the second derivative of 0*y**2 + 0*y**3 + 3/20*y**5 + 5/6*y**4 + 0 - 1/30*y**6 + 37*y. Let x(w) = 0. Calculate w.
-2, 0, 5
Let o = -104 - -107. Suppose 0 = 4*q + 16, -3*f - o*q = -2*q - 5. Determine p so that 0 - 22/5*p**4 + 0*p - p**5 - 8/5*p**2 - 28/5*p**f = 0.
-2, -2/5, 0
Let w(h) = 25*h + 53. Let m be w(-2). Suppose 4*c + m*a = 6*a + 5, 2*c + a = 5. Suppose -1/2*b**4 + 2*b + 0 + 0*b**c - 3/2*b**3 = 0. What is b?
-2, 0, 1
Let v(a) = -5*a**2 - 360*a + 3600. Let w(r) = -4*r**2 - 240*r + 2400. Suppose -t = -h + 3*t - 1, 0 = 5*h - 5*t + 20. Let i(g) = h*v(g) + 7*w(g). Factor i(b).
-3*(b - 20)**2
Suppose 0 = -2*n - 26*h + 470, 3*n + 2*h - 74 = -35. Factor n - 3/4*o**2 + 0*o - 1/4*o**3.
-(o - 1)*(o + 2)**2/4
Let r(a) be the third derivative of -8*a**2 + 0 + 171/2*a**4 + 7*a + 397/20*a**5 + 1/70*a**7 + 19/20*a**6 + 162*a**3. Factor r(z).
3*(z + 1)**2*(z + 18)**2
Let y(c) = -12*c**2 - 8*c + 12. Let z(i) = -11*i + 0 - 1 + 6*i + i. Let m be z(0). Let n(a) = a**2 + a - 1. Let q(s) = m*y(s) - 8*n(s). Factor q(w).
4*(w - 1)*(w + 1)
Let r(c) be the first derivative of 0*c + 24*c**2 - 280 + 3/5*c**5 + 27/2*c**4 + 33*c**3. Factor r(p).
3*p*(p + 1)**2*(p + 16)
Let w(x) = -5*x - 1. Let q = -61 - -58. Let i be w(q). Factor n**3 + 2*n**4 + n**3 + i - 14.
2*n**3*(n + 1)
Factor -476*b**3 + 235*b**3 + 6*b**2 + 220*b**3 + 5*b**2 + 7*b**2 + 3*b**4.
3*b**2*(b - 6)*(b - 1)
Let i(n) = 2*n**3 + 41*n**2 + 19*n + 11. Let y be i(-20). Factor y*v**4 - 32*v**4 - v**2 + 3*v + 12 - 10 - 3*v**3.
-(v - 1)*(v + 1)**2*(v + 2)
Factor 12996/5 - 456/5*f + 4/5*f**2.
4*(f - 57)**2/5
Let h = -1553932/13 - -119534. Let 6/13*v**2 + 16/13*v + h = 0. Calculate v.
-5/3, -1
Let h(c) be the first derivative of -1225*c**6/36 + 224*c**5/3 + 137*c**4/8 + c**3 + 891. Let h(x) = 0. What is x?
-3/35, 0, 2
Find l such that 8731308 + 3/4*l**2 + 5118*l = 0.
-3412
Suppose 3/2*h**5 - 210 + 3/2*h**4 + 417/2*h**2 + 114*h - 231/2*h**3 = 0. What is h?
-10, -1, 1, 2, 7
Let x(f) be the third derivative of -f**5/10 - 67*f**4/24 - 11*f**3/6 - 12*f**2 + 196*f. Factor x(o).
-(o + 11)*(6*o + 1)
Let h = 1301 - 976. Let a be -6 + (-10 - h/(-20)). Let -3/2*k**2 + k**3 - a + k - 1/4*k**4 = 0. Calculate k.
1
Let a(h) be the third derivative of h**5/160 - 15*h**4/32 + 189*h**3/16 + 161*h**2 - 3. Find p, given that a(p) = 0.
9, 21
Let y be 1121/59 - (30/2 + 2). Factor 0*r**y - 4/7*r**3 + 4/7*r**4 + 0 + 0*r.
4*r**3*(r - 1)/7
Let o = 39 + -19. Let b be 735/o + (-12)/16. Factor 5*v**2 + 24 - 2*v - 2*v**3 - b + 3*v**2.
-2*(v - 3)*(v - 2)*(v + 1)
Suppose 4 = 4*f + 40. Let t be (6/(-20))/(f/12). Factor -v**4 + 0*v + t*v**3 + 0*v**2 + 0.
-v**3*(5*v - 2)/5
Factor -104*j**2 - 58*j - 480 - 406*j - 1114*j**3 + 1118*j**3.
4*(j - 30)*(j + 2)**2
Let s = 1164098/3 - 388032. Let 2/3*a**2 + 0 + 0*a - s*a**4 + 1/3*a**3 - 1/3*a**5 = 0. Calculate a.
-2, -1, 0, 1
Let u(w) be the first derivative of 0*w**3 - 1/8*w**4 + 0*w**5 + 0*w + 1/8*w**2 - 38 + 1/24*w**6. Find a such that u(a) = 0.
-1, 0, 1
Let r = 24419/9 - 2713. Let x(z) be the first derivative of 2/27*z**3 + 1/9*z**2 - r*z - 1/18*z**4 - 9. Suppose x(v) = 0. What is v?
-1, 1
Find u such that 300*u**2 - 103*u**2 - 1218629 - 534347 - 97*u**2 + 5296*u - 104*u**2 = 0.
662
Let r(h) be the first derivative of -8*h**5/5 - 15*h**4 - 124*h**3/3 - 24*h**2 + 1062. Suppose r(b) = 0. Calculate b.
-4, -3, -1/2, 0
Let l = -3622 + 3627. Let o(x) be the first derivative of -1/38*x**4 - 2/95*x**l - 18 + 1/19*x**2 + 2/57*x**3 + 0*x. Factor o(q).
-2*q*(q - 1)*(q + 1)**2/19
Let p(z) be the third derivative of -1/300*z**6 + 2 + 0*z + 4/5*z**3 + 4/75*z**5 - 6*z**2 - 19/60*z**4. Factor p(q).
-2*(q - 4)*(q - 3)*(q - 1)/5
Let c(a) = -2*a + 1. Suppose -k - 10 = 4*k. Let i be c(k). Suppose 3*y**2 - 4*y + 0*y**3 + 2*y**3 + 2*y - i*y**2 + 2*y**4 = 0. What is y?
-1, 0, 1
Let s(m) = -m**4 - 53*m**3 + 96*m**2 + 140*m + 8. Let i(l) = -51*l**3 + 96*l**2 + 141*l + 6. Let u(q) = -4*i(q) + 3*s(q). Determine p so that u(p) = 0.
-1, 0, 4, 12
Let y(a) = -a**3 + a**2 + 1. Let l(r) = -6*r**3 + 34*r**2 + 58*r + 27. Let p(m) = -m**2 + 18*m - 74. Let t be p(10). Let j(f) = t*y(f) - 2*l(f). Factor j(b).
2*(b - 12)*(b + 1)*(3*b + 2)
Let f(s) be the first derivative of -s**6/900 + 7*s**5/300 + 2*s**4/15 + 2*s**3/3 - 61*s + 68. Let q(t) be the third derivative of f(t). Solve q(v) = 0.
-1, 8
Suppose 11*r - 6 = 16. Let 7*c**2 - 7*c**2 + 5 + 0*c**r - 5*c**2 = 0. Calculate c.
-1, 1
Let t(d) be the first derivative of 1/5*d**3 + 39/10*d**2 + 36/5*d + 60. What is b in t(b) = 0?
-12, -1
Let a = 182890 - 182890. Factor 3/5*w**2 - 1/5*w**3 + 0*w + a.
-w**2*(w - 3)/5
Let a(s) be the second derivative of -8*s**7/105 + 2*s**6/5 - 4*s**5/25 - 6*s**4/5 + 16*s**3/15 + 6*s**2/5 - s + 384. Solve a(j) = 0.
-1, -1/4, 1, 3
Let r(t) be the third derivative of t**9/483840 + t**8/8960 + t**7/420 + t**6/45 + t**5/12 + 92*t**2. Let p(a) be the third derivative of r(a). Factor p(x).
(x + 2)*(x + 8)**2/8
Let h be 15/(303810/80032) + -3*(-2 + 76/39). Factor 0 + 28/19*j + h*j**3 + 82/19*j**2 - 2/19*j**5 + 22/19*j**4.
-2*j*(j - 14)*(j + 1)**3/19
Let q = -148 - -176. Solve -6*a**5 + 21*a**2 - 12*a**4 - 32*a**3 + 2*a**5 - 8*a**4 - q*a**2 - 9*a**2 = 0.
-2, -1, 0
Let s(y) = -12*y + 6*y**2 - 15*y**2 + 4*y**3 + 3*y**2 - 19*y**2 - 8. Let i(u) = -3*u**3 - u + 1. Let f(t) =