 be the second derivative of p**4/4 - 37*p**3/2 + 279*p**2 - 1936*p. Solve x(z) = 0 for z.
6, 31
Let a(x) be the second derivative of -1/10*x**5 - 8 - 147*x**2 - 17/6*x**4 - 3*x - 91/3*x**3. Factor a(i).
-2*(i + 3)*(i + 7)**2
Let s(z) be the second derivative of z**7/315 - 2*z**6/75 + 2*z**5/75 + z**4/15 - z**3/9 + 1119*z. Let s(u) = 0. What is u?
-1, 0, 1, 5
Let s(h) be the second derivative of h**3 + 1/40*h**5 + 10*h - 5/2*h**2 + 0 - 1/4*h**4. Let o(k) be the first derivative of s(k). Let o(q) = 0. Calculate q.
2
Let c be (-8 + (-2 - -2) + 1)*-1. Let b = c - -19. Factor -55*g + 24*g + b*g - 5*g**3 - 10*g**2.
-5*g*(g + 1)**2
Let m(n) be the third derivative of 2*n**7/315 + 29*n**6/180 + 79*n**5/90 + 19*n**4/36 - 11*n**3/3 - 5691*n**2. Determine u, given that m(u) = 0.
-11, -3, -1, 1/2
Let h(q) be the second derivative of 0*q**4 - 74*q + 0*q**2 + 1/15*q**6 + 0 + 0*q**3 + 1/10*q**5. Factor h(s).
2*s**3*(s + 1)
Let g(i) be the second derivative of i**7/630 - 7*i**6/36 + 17*i**5/15 + 3*i**4/4 + 6*i**2 - 38*i - 2. Let m(v) be the third derivative of g(v). Solve m(f) = 0.
1, 34
Let v = 122257 + -855787/7. Find x such that 0*x + 0*x**3 + 0 + 0*x**2 + 20/7*x**4 + v*x**5 = 0.
-5/3, 0
Let y be (-4)/26 - (-42)/273. Factor 6 - 2 + y - 4*i - 16*i**2 + 34*i.
-2*(i - 2)*(8*i + 1)
Let t(o) = 6*o + 1. Let q be t(0). Let z be (-36)/9 + 24/6*q. What is r in 1/8*r**3 + z*r**2 + 0*r + 0 + 1/8*r**4 = 0?
-1, 0
Suppose 0 = x - 7 + 5. Suppose 11*h = 4*h + 7. Factor 16*u**x + 3 - 14 - 32*u - h + 28*u.
4*(u - 1)*(4*u + 3)
Let k be (-4302)/(-378) + (-414)/54. Determine l so that 9/7*l**3 - 8/7 + 43/7*l**2 + k*l = 0.
-4, -1, 2/9
Let m be (-14)/4*1448/(-1267). Let 0 - 8/13*d**m - 2/13*d + 8/13*d**2 + 6/13*d**5 - 4/13*d**3 = 0. What is d?
-1, 0, 1/3, 1
Let g(r) = 42*r**2 + 59*r + 3*r**2 - 79*r + r**3 + 65*r + 46. Let u be g(-44). Factor 2/7*i**3 + 0 + 0*i**u - 2/7*i.
2*i*(i - 1)*(i + 1)/7
Let k(g) be the third derivative of 39*g**2 + 0 + 5*g**3 + 17/8*g**4 - 4/35*g**7 - 2/5*g**6 + g - 1/10*g**5 - 1/112*g**8. Solve k(l) = 0 for l.
-5, -2, -1, 1
Let c(w) be the second derivative of 41*w - 1/180*w**5 - 1/6*w**3 + 0 + 1/18*w**4 + 2/9*w**2. Factor c(v).
-(v - 4)*(v - 1)**2/9
Let x(b) be the third derivative of b**6/120 - 2*b**5/5 + 8*b**4 + 25*b**3/3 - 2*b**2 - 67. Let g(q) be the first derivative of x(q). Let g(r) = 0. What is r?
8
Let m = -137990 + 137992. What is l in 0 + 9*l**3 - 3*l - 33/2*l**m = 0?
-1/6, 0, 2
Suppose q + 3*i = 5*i + 14, 4*q - 4 = -5*i. Suppose 3*w + 12 = q*w. Solve -j**2 + 10 - 7 - 6 + w*j = 0.
1, 3
Let k(g) be the third derivative of -g**8/6720 + g**7/336 - g**6/60 + g**5/60 + 10*g**3 + g**2 + 13. Let c(b) be the third derivative of k(b). Factor c(w).
-3*(w - 4)*(w - 1)
Suppose -2*z**5 - 312*z**3 - 6608*z**2 - 1892 - 1980 - 9064*z - 100*z**4 - 1202*z**3 = 0. Calculate z.
-22, -4, -1
What is x in 15713 - 399892 + 2778499 - 6920*x + 5*x**2 = 0?
692
Let f(z) be the first derivative of -3/80*z**6 + 0*z**3 - 1/20*z**5 + 0*z**4 + 3*z**2 + 0*z + 8. Let t(g) be the second derivative of f(g). Solve t(a) = 0.
-2/3, 0
Let d be 4840/66 - (-11 - 4)*2/(-12)*-2. Factor d*v + 0 + 5/3*v**2.
5*v*(v + 47)/3
Let y be 18200/(-360) + 51 - (2 + ((-176)/90)/1). Factor -10*z + y*z**2 - 52/5.
2*(z - 26)*(z + 1)/5
Let p be (10/(-4))/((-450)/540). Let x = -24/473 - -10/43. Factor 0*t**p + 0*t - 2/11*t**2 + 0 + x*t**4.
2*t**2*(t - 1)*(t + 1)/11
Suppose -45*s + 154 = -71. Let z(f) be the first derivative of 1/5*f**s + 0*f**2 + f - 11 - 2/3*f**3 + 0*f**4. Determine y so that z(y) = 0.
-1, 1
Let y(f) be the third derivative of f**7/210 - f**6/8 + 6*f**5/5 - 35*f**4/6 + 16*f**3 + 626*f**2. What is n in y(n) = 0?
2, 3, 8
Let l(f) be the second derivative of -f**4/84 + 8*f**3/21 + 57*f**2/14 - 3*f + 64. Determine h, given that l(h) = 0.
-3, 19
Let l(b) be the first derivative of -b**8/840 - b**7/105 + 5*b**3/3 + 18. Let d(w) be the third derivative of l(w). Factor d(i).
-2*i**3*(i + 4)
Let f(q) = 2*q**3 + 3*q**2 + 2*q - 2. Let z be f(-3). Let m be (14/z)/((-2)/10). Factor -4 - o + 2*o - 5*o**2 + m*o + 6*o**2.
(o - 1)*(o + 4)
Let b be ((-123)/164)/(3/(-40)). Factor 6*y**2 - 45 - b - y**2 - 50*y.
5*(y - 11)*(y + 1)
Let a(w) be the first derivative of 1/120*w**6 - 19*w + 5/48*w**4 - 1/12*w**3 - 1/20*w**5 + 0*w**2 - 23. Let c(v) be the first derivative of a(v). Factor c(o).
o*(o - 2)*(o - 1)**2/4
Let q(d) be the third derivative of -d**6/480 + d**5/10 - 101*d**4/96 - 21*d**3/4 + 14*d**2 + 216*d + 2. Let q(c) = 0. Calculate c.
-1, 7, 18
Let l(z) be the first derivative of -z**8/560 + z**6/120 + z**3/3 - 49*z**2/2 - 34. Let d(n) be the third derivative of l(n). Factor d(h).
-3*h**2*(h - 1)*(h + 1)
Let u be (14/4 - 2)*(-468)/(-2379). Let w = u + 2228/305. Solve -32/5*r + 8/5 - 2/5*r**5 + 10*r**2 - w*r**3 + 14/5*r**4 = 0 for r.
1, 2
Let y be 44/144 + ((-1495)/2340 - (-10)/18). Find x such that 0 + 2/9*x**3 - 1/9*x**2 - y*x + 1/9*x**4 = 0.
-2, -1, 0, 1
Let f(g) be the second derivative of 1/6*g**4 + 2*g**3 + 0 + 162*g + 8*g**2. Factor f(s).
2*(s + 2)*(s + 4)
Let w(g) = 1. Let t(f) = -2*f**2 - 30*f - 10. Let r(y) = -t(y) - 10*w(y). Suppose r(u) = 0. Calculate u.
-15, 0
Let o(x) be the second derivative of x**6/165 - 57*x**5/110 + 261*x**4/22 + 841*x**3/33 - 442*x. Find m such that o(m) = 0.
-1, 0, 29
Let x(c) be the first derivative of -47 - 16/51*c**3 + 7/34*c**4 - 2/85*c**5 - 16/17*c**2 + 0*c. Find t, given that x(t) = 0.
-1, 0, 4
Let o(v) be the first derivative of -3*v**4/4 - 583*v**3 + 3*v**2/2 + 1749*v - 288. Solve o(m) = 0.
-583, -1, 1
Find q, given that 3*q**2 - 2 + 112 - 82*q - 20*q - 11 = 0.
1, 33
Let m = -145 + 128. Let b be ((m/4)/17)/(-2). Determine t so that 1/4*t + 1/8*t**4 - b - 1/4*t**3 + 0*t**2 = 0.
-1, 1
Suppose -14*h - 7*h = 11*h. Solve 5 + 30*r + h - 2*r**2 + 7 + 18 - 2*r = 0.
-1, 15
Let z be (0/(-101))/67*2/4 + (-16)/(-11). Let 60/11 - 158/11*s - z*s**4 + 168/11*s**3 - 4*s**2 - 10/11*s**5 = 0. What is s?
-5, -1, 2/5, 1, 3
Determine d, given that -785 - 1/2*d**3 - 391*d**2 + 2353/2*d = 0.
-785, 1, 2
Let n(w) = -3*w**2 - 181*w - 1532. Let g(p) = -4*p**2 - 158*p - 1531. Let z(a) = 8*g(a) - 9*n(a). Factor z(r).
-5*(r - 77)*(r + 4)
Let c(v) = -2*v**3 - 30*v**2 - 88*v - 74. Let f(x) = 10*x**3 + 149*x**2 + 433*x + 371. Let j(n) = 22*c(n) + 4*f(n). Factor j(u).
-4*(u + 1)*(u + 3)*(u + 12)
Let p be (27/12 + -3)*(5 + -33). Suppose -21*s + 40*s = p*s. Factor -1/6*b**3 + 0*b**2 + 0 + s*b.
-b**3/6
Suppose o = r - 1, 66*o - 65*o = -2*r + 14. Let z be 297/36 + -3 - r. Factor 0*p**3 + z*p**4 - 1/4*p**2 + 0*p + 0.
p**2*(p - 1)*(p + 1)/4
Let s(u) be the first derivative of -2*u**3/21 + 213*u**2/7 + 428*u/7 + 1120. Factor s(m).
-2*(m - 214)*(m + 1)/7
Let p(l) be the third derivative of l**8/784 - 113*l**7/490 + 579*l**6/56 + 2419*l**5/20 + 3481*l**4/14 - 24*l**2 + 63*l. Let p(q) = 0. Calculate q.
-4, -1, 0, 59
Let z(v) = -12*v**2 - 146*v - 20. Let k be z(-12). Let w(y) be the third derivative of 18*y**2 + 2/21*y**3 + 0 + 0*y - 1/60*y**5 + 1/14*y**k. Factor w(r).
-(r - 2)*(7*r + 2)/7
Let l = -335773/5 + 67673. Factor -144/5*j - 2/5*j**2 - l.
-2*(j + 36)**2/5
Suppose 5*i - 4 - 6 = 0. Factor -31 - 15*m**i + 7 + 50*m - 11*m**2 - m + m**3.
(m - 24)*(m - 1)**2
Suppose -293*t + 291*t + 26 = d, -2*d + 3*t = -45. Factor -d*n - 10 - 72/5*n**2.
-2*(6*n + 5)**2/5
Suppose 0 = -369*c - 688 + 2533. Solve -5/4*f**c + 0 + 0*f + 10*f**3 - 60*f**2 + 25/4*f**4 = 0.
-3, 0, 4
Let d = 708 - 705. Suppose 9 = d*j - l, -10 = 3*l - 1. Suppose -2/3*a**j + 20/3*a - 50/3 = 0. Calculate a.
5
Let b = -1254 - -881. Let i = -373 - b. Let 1/4*j**4 + 0*j + i - 1/4*j**5 + 1/4*j**3 - 1/4*j**2 = 0. Calculate j.
-1, 0, 1
Suppose 242/5*k**2 + 0 - 82/5*k**3 + 6/5*k**4 + 18*k = 0. Calculate k.
-1/3, 0, 5, 9
Let i be ((-6)/2 - 0)/(-1). Let x be 4/24*((-242)/(-77) + (2 - 4)). Factor 0 + 2/21*s**i + x*s - 2/7*s**2.
2*s*(s - 2)*(s - 1)/21
Let h be (26580/(-1470) - -18)*7/(-1). Let -h - 2*z - 2/7*z**4 - 10/7*z**3 - 18/7*z**2 = 0. What is z?
-2, -1
Let r(q) be the second derivative of q**7/315 - 2*q**6/25 - 7*q**5/50 + 19*q**4/45 - 14*q - 120. Solve r(n) = 0 for n.
-2, 0, 1, 19
Factor 9502 + 2*l**3 + 0*l**3 + 16948 + 28759*l - 458*l**2 - 2769*l.
2*(l - 115)**2*(l + 1)
Let f(d) be the first derivative of d**6/135 + d**5/15 - d**4/54 - 2*d*