 + 2/9*x**4 - 31/135*x**5. Suppose z(c) = 0. Calculate c.
0, 2/5, 12
Let v(y) be the first derivative of 4 - 1/10*y**4 + 11*y + 3/5*y**2 + 1/15*y**3 - 1/50*y**5. Let c(q) be the first derivative of v(q). Factor c(d).
-2*(d - 1)*(d + 1)*(d + 3)/5
Let j(z) be the first derivative of -z**3/18 - 211*z**2/2 - 133563*z/2 + 1012. Factor j(v).
-(v + 633)**2/6
Let s(p) = 2*p + 7. Let c be s(-2). Suppose -c*m + 2 = -7. Factor -53 - 30*t + 57 - 24*t**m + 79*t**2 - 17*t**2.
-2*(t - 2)*(3*t - 1)*(4*t - 1)
Let f be (-3)/6*8 - (-142 - 0). Let w = 140 - f. Find d such that -3*d**w + 4*d**2 - 12 + 12 - 3*d = 0.
0, 3
Let m(y) be the first derivative of 10*y**3/11 + 104*y**2/11 - 14*y/11 + 3481. Factor m(t).
2*(t + 7)*(15*t - 1)/11
Let n(j) be the first derivative of -5/2*j**2 - 4/3*j**3 - 1/4*j**4 - 63 - 2*j. Factor n(p).
-(p + 1)**2*(p + 2)
Let l = -6288 - -94321/15. Let o(q) be the first derivative of l*q**3 - 14 + 0*q + 0*q**2 - 1/25*q**5 + 0*q**4. Suppose o(f) = 0. Calculate f.
-1, 0, 1
Let m(g) be the third derivative of 0*g - g**2 + 31/90*g**5 + 1/360*g**6 + 0*g**3 + 961/72*g**4 - 32. Factor m(a).
a*(a + 31)**2/3
Let n(s) be the first derivative of -s**5 - 135*s**4/4 - 370*s**3/3 - 120*s**2 - 1894. Find f, given that n(f) = 0.
-24, -2, -1, 0
Let r(n) be the first derivative of 5*n**3/9 - 790*n**2/3 - 1585*n/3 - 2717. Determine j, given that r(j) = 0.
-1, 317
Let g(d) = 708*d. Let s(k) = k**2 + 717*k. Let m(u) = 3*g(u) - 2*s(u). Factor m(v).
-2*v*(v - 345)
Let q be (-148)/20 - 6/(-15). Let j be q/((-28)/16) + 3. Determine d, given that 909 - 12*d**3 - 897 + 28*d - 35*d**2 + j*d**2 = 0.
-3, -1/3, 1
Factor -f**2 + 140 - 3*f**2 - 80*f - 2*f**2 + 6*f**2 + 5*f**2.
5*(f - 14)*(f - 2)
Let w(n) be the second derivative of 121*n**4/6 - 11*n**3 + 9*n**2/4 + 855*n. Solve w(k) = 0 for k.
3/22
Let n(p) be the third derivative of 1/660*p**6 + 1/11*p**3 + 0 + 6*p**2 - 5/132*p**4 + 1/330*p**5 + 0*p. Factor n(y).
2*(y - 1)**2*(y + 3)/11
Let i = -1375489/4620 + 3275/11. Let f(k) be the third derivative of 1/28*k**4 - i*k**6 + 0 + 0*k**5 - 2/21*k**3 + 0*k + 38*k**2. Factor f(a).
-2*(a - 1)**2*(a + 2)/7
Suppose 3*c - 3 = 3*q, 29*c - 27*c - 4 = q. Suppose 3*s - q*i - 6 + 1 = 0, i - 30 = -5*s. Factor 6/5*u**s - 4/5*u + 0 - 6/5*u**2 + 14/5*u**4 + 6/5*u**3.
2*u*(u + 1)**3*(3*u - 2)/5
Suppose 24*z - 18*z - 1044 = 0. Factor 44 + 21*y**3 + 11*y**3 + 10 + 2*y**4 + 360*y + z*y**2 + 162.
2*(y + 1)*(y + 3)*(y + 6)**2
Suppose 55/3*c**3 + 5/3*c**4 - 10/3*c**2 + 0 - 200*c = 0. What is c?
-10, -4, 0, 3
Let k(r) be the first derivative of -3*r**5/35 - 9*r**4/14 - 12*r**3/7 - 15*r**2/7 - 9*r/7 + 3705. Factor k(n).
-3*(n + 1)**3*(n + 3)/7
Let s(n) be the second derivative of n**7/168 - 11*n**6/120 + 3*n**5/40 + 79*n**4/24 - 7*n**3/24 - 147*n**2/8 - 3*n - 131. What is c in s(c) = 0?
-3, -1, 1, 7
Suppose 0 = 250*d - 176*d + 225*d - 598. Solve -40/3 + 10*i - 5/3*i**d = 0 for i.
2, 4
Let l be (-5 - -6) + (-1 - (0 - 2)). Suppose -l*t - 65 + 217 = 0. Solve 15*n**2 - 73*n + 5 - 3*n**3 + 12*n**2 + t - 8*n = 0 for n.
3
Let p(u) be the second derivative of 17/3*u**3 + 0 - 1/40*u**5 + 7/12*u**4 + 18*u**2 + 156*u. Suppose p(x) = 0. Calculate x.
-2, 18
Suppose -4*a - 4*m + 904 = 0, 4*m - 6*m + 1121 = 5*a. Let t = -19 + a. Find o, given that 8*o**3 - 40 + 41*o**3 - t*o**2 + 3*o**3 + 43*o + 129*o + 20*o**4 = 0.
-5, 2/5, 1
Let r(u) be the second derivative of u**5/180 - 475*u**4/27 - 3803*u**3/54 - 317*u**2/3 + u - 2724. Factor r(z).
(z - 1902)*(z + 1)**2/9
Let m = -287589/4 + 71900. Suppose -3/4*o + m*o**2 - 1/4*o**4 - 5/2 + 3/4*o**3 = 0. Calculate o.
-2, -1, 1, 5
Factor -58*w**2 + 57*w + 139*w**2 - 63*w**2 - 72 - 3*w**3.
-3*(w - 8)*(w - 1)*(w + 3)
Find p, given that -21*p**5 + 40*p + 19*p**5 + 75*p**3 - 6*p**5 - p**5 - 6*p**5 - 50*p**4 + 150*p**2 = 0.
-4, -1, -1/3, 0, 2
Factor -2/7*n**3 + 50/7*n**2 + 0 + 0*n.
-2*n**2*(n - 25)/7
Suppose -702*u**4 - 3940*u - 1798 + 354*u**4 - 3135*u**2 + 218 + 353*u**4 - 770*u**3 = 0. Calculate u.
-2, -1, 158
Let y = -13922 + 13926. Let t(f) be the first derivative of -27 - y*f - 2/9*f**3 + 5/3*f**2. What is o in t(o) = 0?
2, 3
Let p(a) be the second derivative of a**7/14 + 4*a**6/5 + 6*a**5/5 - 13*a**4/2 - 9*a**3/2 + 27*a**2 + a + 2726. Determine o so that p(o) = 0.
-6, -3, -1, 1
Let n be -15 - 261*(-15)/243. Suppose n*v + 10/9*v**2 + 2/9*v**4 - 10/9*v**3 - 4/3 = 0. What is v?
-1, 1, 2, 3
Suppose -5*g - 1759 + 1774 = 0. Let o be 28/6 - 3/(-9). Factor r**4 - 2*r**4 + o - g + 2*r**2 - 3.
-(r - 1)**2*(r + 1)**2
Let z be ((-27)/30 - (-129)/86)/(2/10). Let h(c) be the second derivative of -1/4*c**4 + 31*c + 0 - 2*c**z + 0*c**2. Solve h(v) = 0.
-4, 0
Factor 15136/3*t**3 - 346/3*t**4 - 14792/3*t**2 + 0*t + 0 + 2/3*t**5.
2*t**2*(t - 86)**2*(t - 1)/3
Factor -512*o + 13992*o**2 + 9809 - 13993*o**2 - 75345.
-(o + 256)**2
Let j be 39/9 + 3/(-9). Let q(i) = i**3 - 3*i**2 - 90*i - 4. Let h be q(-8). Factor 48*b + 2*b**4 - h*b**3 + 4*b**j + 32 - 4*b**4 + 2*b**2.
2*(b - 4)**2*(b + 1)**2
Suppose 5*d - 3580 = -c, 37*d - 2*c = 36*d + 716. Let a = d - 5010/7. Determine s so that 0*s - 2/7*s**5 + 2/7*s**4 + 0 - a*s**2 + 2/7*s**3 = 0.
-1, 0, 1
Let q = 3377/2544 + 5/848. Let p(h) be the first derivative of -h**2 - 4 + 0*h - q*h**3 - 1/2*h**4. Factor p(r).
-2*r*(r + 1)**2
Let l = -425 - -421. Let a be 0/((-3)/2*l/(-6)). Solve 1/3*x**2 + a + 5/3*x = 0.
-5, 0
Let v(u) = -2*u**2 + u. Let m(d) = 2*d**3 - 20*d**2 + 32*d. Let s(p) = -m(p) + 2*v(p). Factor s(l).
-2*l*(l - 5)*(l - 3)
Let -240/7 + 4*z + 2/7*z**2 = 0. Calculate z.
-20, 6
Let v be 2/6 + (-25)/(-60). Let f = 1279/584 - -35/584. Factor -f + v*i**2 - 3/2*i.
3*(i - 3)*(i + 1)/4
Factor -398*f - 311 + 1359 + 5*f**2 + 197 + 1648*f.
5*(f + 1)*(f + 249)
Let h(a) be the first derivative of 0*a**2 + 1/21*a**4 - 2 + 0*a**3 + 12*a + 1/70*a**5. Let j(s) be the first derivative of h(s). Find i such that j(i) = 0.
-2, 0
Suppose 0 = 2*b - 13 + 1. Let d be (16/b)/(8/12). Factor -2*z**3 - z**3 + 3*z**5 - 3*z**d - z**3 + 3*z**2 + z**3.
3*z**2*(z - 1)**2*(z + 1)
Find h, given that -16/5*h**2 + 0 - 2/5*h**4 - 8*h + 22/5*h**3 = 0.
-1, 0, 2, 10
Factor 0 + 1/2*z**2 + 173*z.
z*(z + 346)/2
Let k(g) be the first derivative of -9*g - 1/12*g**4 + 1/2*g**3 + 16 + 2*g**2. Let p(i) be the first derivative of k(i). Suppose p(f) = 0. Calculate f.
-1, 4
Let k(z) = -29*z**2 - 1174*z + 1190. Let p(w) = -7*w**2 - 294*w + 298. Let o(f) = -3*k(f) + 13*p(f). Let o(c) = 0. Calculate c.
-76, 1
Let n = 3370/721 - 246/103. Factor 0 + 1/7*t**2 - n*t.
t*(t - 16)/7
Suppose -4*j - 12 = f - 172, 0 = 3*f + 5*j - 508. Let k be (f/396)/(2 - -1 - 1). What is g in 4/3 - k*g - 2/9*g**2 = 0?
-3, 2
Let q(y) = -159*y - 6675. Let x be q(-42). Let r(z) be the first derivative of 0*z - 1 - x*z**2 - 2/3*z**3. Factor r(m).
-2*m*(m + 3)
Let o(y) = 2*y**2 + y + 1. Let g be (-1 + 2)/((-1)/(25/5)). Let r(a) = 13*a**2 + 107*a + 872. Let s(v) = g*o(v) + r(v). Factor s(j).
3*(j + 17)**2
Let n(f) be the third derivative of 1/540*f**6 - 4*f**2 + 0*f**3 - 2/45*f**5 + 0 - 13/108*f**4 - 3*f. Let n(j) = 0. What is j?
-1, 0, 13
Determine z, given that -124*z - 440*z**2 + 189*z - 77*z + 12*z**3 + 440 = 0.
-1, 1, 110/3
Suppose -3*r + 53*w = 55*w, w = -3*r + 3. Let f(t) be the third derivative of -7/48*t**4 - 1/120*t**5 + 0*t - 23*t**r - 1/2*t**3 + 0. Factor f(h).
-(h + 1)*(h + 6)/2
Let o(s) be the third derivative of -10/3*s**3 + 20*s**2 + 0 + 2/15*s**5 + 13/4*s**4 + 0*s. Suppose o(r) = 0. What is r?
-10, 1/4
Let r(d) be the first derivative of d**4/18 + 1310*d**3/9 + 429025*d**2/3 + 562022750*d/9 - 2055. Factor r(b).
2*(b + 655)**3/9
Let p be 27909/2520 - 99/9. Let b(h) be the third derivative of -2*h**3 - 1/70*h**7 - p*h**6 + 3/8*h**4 + 47*h**2 + 0*h + 1/4*h**5 + 0. Factor b(o).
-3*(o - 1)**2*(o + 1)*(o + 4)
Suppose -31*t + 243 = -594. Let l(s) = s**3 - 9*s**2 - 7*s + 65. Let p be l(9). Let t*c**p + 15/2*c - 3 = 0. What is c?
-1/2, 2/9
Let j(h) be the third derivative of h**5/300 - 151*h**4/60 - 101*h**3/10 - 914*h**2 + 2*h + 2. Find x, given that j(x) = 0.
-1, 303
Let w(l) be the second derivative of l**7/98 + 3*l**6/14 + 36*l**5/35 - 16*l**4/7 + 943*l. Suppose w(o) = 0. Calculate o.
-8, 0, 1
Let t(z) = -5*z + 1. Let b(f) = -2*f**2 + 2477*f - 751543. Let h(p) = -b(p) - 5*t(p). Suppose h(n) = 0. Calculate n.
613
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