*s = 0?
-1, 1, 2
Let h(n) be the second derivative of -n**7/210 - 2*n**6/45 + 2*n**5/5 + n**3/3 - 85*n**2/2 + 19*n. Let l(c) be the second derivative of h(c). Factor l(f).
-4*f*(f - 2)*(f + 6)
Let i(d) be the third derivative of d**5/30 - 23*d**4/12 - 26*d**3 - 228*d**2 - 3*d. Factor i(j).
2*(j - 26)*(j + 3)
Let s be (29 - -1)*60/50. Let t be -4 - (s/(-4) - 2). Let -6*o**3 - t*o**3 - 2*o - 10*o**2 + 10*o**4 + 8*o**5 + 7*o**3 = 0. Calculate o.
-1, -1/4, 0, 1
Let k(z) be the first derivative of -z**4/32 + 3*z**3/8 - 15*z**2/16 - 50*z - 26. Let d(u) be the first derivative of k(u). Determine p, given that d(p) = 0.
1, 5
Let n(s) = -7*s**2 - 113*s + 2090. Let w be n(11). Solve w + 2/9*z**2 + 2/3*z = 0 for z.
-3, 0
Let d(o) be the second derivative of -o**6/150 + 9*o**5/50 - 3*o**4/4 + 1998*o. Determine q so that d(q) = 0.
0, 3, 15
Let p = 144166 - 1009154/7. What is r in 0 + p*r**3 + 0*r**2 + 2/7*r**4 + 0*r = 0?
-4, 0
Let a = -2493/20 - -81812/655. Let c = a + -1/262. Factor -1/2 + 1/4*b**2 - c*b.
(b - 2)*(b + 1)/4
Let z(b) = -26*b**2 - 360*b - 2160. Let a(m) = 9*m**2 + 120*m + 720. Let c be (1 + 0)/((40/55)/(-8)). Let q(j) = c*a(j) - 4*z(j). Factor q(k).
5*(k + 12)**2
Let c(x) be the second derivative of -5/36*x**3 + 1/6*x**2 - 1/24*x**4 - 19 + x. What is a in c(a) = 0?
-2, 1/3
Let p(o) be the second derivative of 250*o**7/21 - 1160*o**6 - 712*o**5 + 4214*o**4/3 - 654*o**3 + 140*o**2 + 85*o. Determine d, given that p(d) = 0.
-1, 1/5, 70
Factor -9/10*g - 1/2 + 1/5*g**2.
(g - 5)*(2*g + 1)/10
Let w = -85 + 90. Factor -28*r**5 + 2*r**3 - 5*r**3 + 13*r**w + 18*r**5.
3*r**3*(r - 1)*(r + 1)
Suppose -8*c - 964 + 1092 = 0. Suppose 0*t = 5*p + t - c, 3*p + t - 10 = 0. Factor 430/3*o**2 + 850/3*o - 8/3*o**5 + 250/3 + 112/3*o**4 - 482/3*o**p.
-2*(o - 5)**3*(2*o + 1)**2/3
Let m(j) be the third derivative of j**6/180 + 53*j**5/90 + 103*j**4/36 + 17*j**3/3 + 2*j**2 - 1294*j + 1. Suppose m(g) = 0. What is g?
-51, -1
Let x be 1484/(-84) - (-23)/1. Solve -14*v**2 - x + 2/3*v**4 + 46/3*v + 10/3*v**3 = 0 for v.
-8, 1
Let o(j) be the first derivative of 28/3*j**3 - 2/3*j**6 + 169 + 0*j + j**4 + 0*j**2 - 28/5*j**5. Determine q, given that o(q) = 0.
-7, -1, 0, 1
Let y(i) = 37*i**2 + 1525*i + 288795. Let l(n) = -22*n**2 - 763*n - 144397. Let q(s) = 10*l(s) + 6*y(s). Factor q(x).
2*(x + 380)**2
Let a(d) = 3252*d**2 - 411*d + 22. Let v(z) = -z**2 - 15*z - 2. Let u(n) = 5*a(n) + 15*v(n). Factor u(l).
5*(57*l - 4)**2
Let i(w) = -30*w**2 - 880*w - 2640. Let h(p) = -5*p**2 - 147*p - 444. Let k(t) = 25*h(t) - 4*i(t). Solve k(v) = 0.
-27, -4
Let i be (-2)/9 + 3 + (-106779)/38421. Let a = i - -1427/2846. Let 1/2*k**2 - k**3 - a*k**4 + k + 0 = 0. What is k?
-2, -1, 0, 1
Let z(m) be the first derivative of 1/6*m**4 + 3*m**2 - 4/3*m**3 - 117 - 8/3*m. Solve z(c) = 0 for c.
1, 4
Let i(f) be the second derivative of 1/10*f**5 - 1 - 1/3*f**3 - 31*f + 2*f**2 - 5/6*f**4 + 1/5*f**6. Suppose i(y) = 0. What is y?
-1, 2/3, 1
Let m(k) be the first derivative of k**2 - k**3 + 1/10*k**5 + 4*k - 87 - 1/8*k**4. Solve m(x) = 0 for x.
-2, -1, 2
Let c(p) be the second derivative of p**7/21 - 12*p**6/5 - 1143*p**5/40 - 2581*p**4/24 - 599*p**3/4 - 387*p**2/4 - 164*p + 6. What is m in c(m) = 0?
-3, -1/2, 43
Let p be ((-29)/(-4) + -9)/((-22659)/1992). Let 0 + p*h**2 + 44/13*h = 0. Calculate h.
-22, 0
Suppose 4*i + q = -q + 2, 3*q + 3 = -4*i. What is s in 18807*s**3 - s**4 + 2*s**4 - 3 - 18803*s**i + 2*s**2 - 4*s = 0?
-3, -1, 1
Let y(g) = 4*g**2 + 46*g - 123. Let c(z) = -7*z**2 - 90*z + 248. Let r(u) = -3*c(u) - 5*y(u). Factor r(q).
(q - 3)*(q + 43)
Let v(z) be the first derivative of -3/4*z**4 + 11/3*z**3 + 34 + 5*z + 19/2*z**2. Factor v(j).
-(j - 5)*(j + 1)*(3*j + 1)
Let u(m) be the first derivative of m**6/2 - 3*m**5 + 6*m**4 - 4*m**3 - 8409. Factor u(l).
3*l**2*(l - 2)**2*(l - 1)
Let b(t) be the first derivative of -t**4/18 - 20*t**3/9 - 29*t**2/9 + 6509. Let b(o) = 0. Calculate o.
-29, -1, 0
Determine d so that 306/7*d**2 - 24/7*d + 6/7*d**4 + 120/7*d**3 - 408/7 = 0.
-17, -2, 1
Let b be 2488/(-468) - (-38)/(-171). Let m = -478/91 - b. Find c, given that -2/7 - 6/7*c + 6/7*c**4 + 4/7*c**3 + m*c**5 - 4/7*c**2 = 0.
-1, 1
Factor 9/4*f**2 + 35/4*f + 6.
(f + 3)*(9*f + 8)/4
Suppose 0 = -60*b - 24759 + 24879. Determine g, given that 225/2 + 1/2*g**b - 15*g = 0.
15
Let y(l) = -29*l + 19. Let h be y(-2). Find r, given that -13*r**4 - 500*r - 3*r**2 - 2*r**4 + 520*r - h*r**2 + 65*r**3 = 0.
0, 1/3, 2
Let i(g) = g**3 + 24*g**2 + 25*g + 25. Let k be i(-23). Let t = -19 - k. Factor 0*a**2 + 6*a + 24 - 4*a**2 + 5*a**2 - 4*a**t.
-3*(a - 4)*(a + 2)
Let x(m) = -m**2 + 405*m + 1954. Let t(l) = -9*l**2 + 2835*l + 13680. Let r(g) = 2*t(g) - 15*x(g). Factor r(a).
-3*(a + 5)*(a + 130)
Let r(n) be the second derivative of n**5/130 + 4*n**4/39 + 19*n**3/39 + 12*n**2/13 - 204*n. Factor r(j).
2*(j + 1)*(j + 3)*(j + 4)/13
Let n(m) be the third derivative of m**7/7560 + 7*m**6/270 + 98*m**5/45 + 227*m**4/24 - 2*m**2 + 45. Let w(z) be the second derivative of n(z). Factor w(y).
(y + 28)**2/3
Let g be 3 + -1 - -1*4. Suppose -2*w = -g*w + 8. Factor 0*v**2 - 10*v - 2*v - 18 + 0*v**w - 2*v**2.
-2*(v + 3)**2
Let d = 25975/182707 + 18/26101. Suppose 6*w = 11*w. Let -d*f**2 + w + 0*f = 0. What is f?
0
Let m be ((-204)/(-66) - 3) + (-33)/847*-203. Factor 72*a - 23*a**2 - m*a**3 - 1/2*a**4 - 81/2.
-(a - 1)**2*(a + 9)**2/2
Let v(u) = -158*u + 11062. Let j be v(70). Suppose 0 + 2/3*t**3 - 8/9*t - 8/9*t**4 + 8/9*t**j + 2/9*t**5 = 0. What is t?
-1, 0, 1, 2
Let p(x) = 15*x - 19*x + 2*x**2 - 9*x - 3. Let o be p(9). Factor -26*r**2 + 18*r**5 - r + o*r**3 - 7*r**4 - 3*r + 20*r**2 - 43*r**4.
2*r*(r - 1)**3*(9*r + 2)
Find g, given that -2/11*g**2 - 80/11*g - 78/11 = 0.
-39, -1
Let m(x) be the second derivative of -169/18*x**3 + 1001/18*x**4 + 0*x**2 - 5773/60*x**5 + 5 - 6*x - 2/7*x**7 - 154/15*x**6. Factor m(t).
-t*(t + 13)**2*(6*t - 1)**2/3
Solve -129*b**3 + 8992*b**2 + 3*b**5 - 4677*b**2 - 144*b - 4597*b**2 - b**4 + 13*b**4 = 0.
-8, -1, 0, 6
Suppose 77 = 9*c + 41. Factor 31*h**4 + 2*h**5 - 34*h + 82*h + 76*h**3 + 104*h**2 - 9*h**c.
2*h*(h + 1)*(h + 2)**2*(h + 6)
Let y(j) be the first derivative of -j**5/15 + j**4/6 + 4*j**3/9 - 4*j**2/3 + 7968. Factor y(c).
-c*(c - 2)**2*(c + 2)/3
Let j be ((-276)/42 + 6)/((-84)/49 + -6). Let f(m) be the first derivative of j*m**3 + 20 + 0*m + 2/9*m**2 - 1/18*m**4. Factor f(x).
-2*x*(x - 2)*(x + 1)/9
Factor -2/3 + 16/9*w**2 + 46/9*w.
2*(w + 3)*(8*w - 1)/9
Suppose 28*t - 831 = -722*t + 669. Let x(v) be the first derivative of 22 + 21/4*v**4 - 8*v**3 + 27/4*v**t - 3*v - 9/5*v**5 + 1/4*v**6. Factor x(r).
3*(r - 2)*(r - 1)**4/2
Let f be ((-81)/2 + 5)/((-6)/88). Let d = -520 + f. Solve d*v**2 + 32/3 - 16/3*v = 0 for v.
4
Let g be (-5)/((-10)/(-4649))*4/10. Let l = 930 + g. Factor l*k**3 + 3/5 - k + 1/5*k**2.
(k - 1)**2*(k + 3)/5
Let t(g) be the first derivative of 2*g**5/15 + 25*g**4/6 + 82*g**3/3 + 175*g**2/3 + 152*g/3 - 5621. Solve t(f) = 0 for f.
-19, -4, -1
Let t be (2 + 0)/6 - -6*((-4121)/(-234) + -17). What is v in 1/2*v + 0 + 0*v**3 + v**2 - v**t - 1/2*v**5 = 0?
-1, 0, 1
Let j(r) = 139*r**2 - 5126*r + 2182819. Let l(h) = -52*h**2 + 1709*h - 727606. Let g(x) = 3*j(x) + 8*l(x). Suppose g(p) = 0. Calculate p.
853
Suppose -2*n + n = 3*t - 15, -5 = -3*n + t. Let h(f) = -5*f**2 - 233*f - 2651. Let r(d) = -5*d**2 - 234*d - 2653. Let l(a) = n*r(a) - 4*h(a). Factor l(j).
5*(j + 23)**2
Solve 47*c - 1113 + 149*c**2 - 325*c**2 + 173*c**2 + 133*c = 0.
7, 53
Suppose 27*k = 46*k - 38. Determine v, given that -5*v**4 + 196*v**3 - 123*v**3 - 103*v**3 + 70*v + 18*v**k + 27*v**2 = 0.
-7, -1, 0, 2
Let k(u) = 2*u**2 + 17. Let y be k(-4). Let h = 53 - y. Factor 4*s**3 - 4*s**h + 2*s**2 - 5*s - 3*s + 4*s + s**4 + 1.
-(s - 1)**2*(s + 1)*(3*s - 1)
Let i(p) be the first derivative of p**4/4 - p**3/3 - p**2 + 80. Let t(q) = -7*q**3 + 11*q**2 + 28*q + 10. Let d(s) = 5*i(s) + t(s). Factor d(v).
-2*(v - 5)*(v + 1)**2
Factor 1/7*s**4 + 235/7*s**3 + 19125/7*s**2 + 4218750/7 + 84375*s.
(s + 10)*(s + 75)**3/7
Let m(q) = 5*q**3 + 72*q**2 - 16*q - 316. Let o(r) = 5*r**3 + 70*r**2 - 15*r - 315. Let s(f) = 5*m(f) - 4*o(f). Factor s(d).
5*(d - 2)*(d + 2)*(d + 16)
Let o(x) be the first derivative of -5/6*x**2 + 127 + 25/3*x - 25/9*x**3 + 5/12*x*