ive of m**7/357 + 124*m**6/255 - 1307*m**5/170 + 2191*m**4/51 - 5344*m**3/51 + 2144*m**2/17 - 849*m. Find v, given that d(v) = 0.
-134, 1, 4
Let x = -222299 - -666902/3. Let x*b**5 + 28/3*b**2 - 80/3*b**3 + 0 + 0*b + 23/3*b**4 = 0. What is b?
-7, 0, 2/5, 2
Let w = 24265/6 + -4044. Let z(l) be the third derivative of -w*l**4 - 1/45*l**5 + 0*l**3 - 17*l**2 + 0*l + 0. Factor z(a).
-4*a*(a + 3)/3
Suppose -4*c - 220 = -22*l, -1059*l + 1055*l + 40 = -2*c. Factor -2/19*s**3 - 6/19*s + c + 8/19*s**2.
-2*s*(s - 3)*(s - 1)/19
Let y(h) be the third derivative of h**2 - 13/6*h**3 + 93 + 0*h + 79/240*h**5 + 5/3*h**4 - 7/480*h**6. Find g, given that y(g) = 0.
-2, 2/7, 13
Let g = 422 + -446. Let z be (-1 - 0) + (-88)/g. Solve -28/3*p**2 + 28/3*p**4 + 0 + z*p**3 - 8/3*p = 0.
-1, -2/7, 0, 1
Let i(z) be the first derivative of -24*z**6 - 7536*z**5/25 - 5297*z**4/5 - 2232*z**3/5 + 414*z**2 - 80*z + 6087. Determine o so that i(o) = 0.
-5, -4/5, 1/6
Suppose -21*a + 88 = 23*a. Suppose -a*v - 9 = -13. Factor 16/7 - 2*d**v + 52/7*d.
-2*(d - 4)*(7*d + 2)/7
Let i(b) be the third derivative of -b**7/280 - 19*b**6/480 - 7*b**5/80 - 5*b**4/96 - 150*b**2 - 2*b + 2. Factor i(y).
-y*(y + 1)*(y + 5)*(3*y + 1)/4
Suppose 0*l + 9 = 3*l - c, 2*c = -2*l + 6. Suppose l*j = -0 + 9. What is k in 3*k**3 + 65*k + 2*k**4 + 55*k + 9*k**3 + 12*k**j + 50 + 92*k**2 = 0?
-5, -1
Let a(d) be the third derivative of 0 - 4205/24*d**4 + 0*d**3 + 135*d**2 + 0*d - 1/24*d**6 - 29/6*d**5. What is m in a(m) = 0?
-29, 0
Let k(j) be the first derivative of -j**6/20 - 261*j**5/20 - 2523*j**4/2 - 48778*j**3 - 151*j + 254. Let b(a) be the first derivative of k(a). Factor b(l).
-3*l*(l + 58)**3/2
Suppose 157*d + 3 = 788. Let b(a) be the third derivative of -1/30*a**d + 0 + 0*a + 14/15*a**3 + 11/20*a**4 - 29*a**2. Factor b(c).
-2*(c - 7)*(5*c + 2)/5
Factor 1/4*t**3 - 153/4*t + 225/4 - 73/4*t**2.
(t - 75)*(t - 1)*(t + 3)/4
Let q(o) be the third derivative of o**7/42 + o**6/24 - 19*o**5/12 - 245*o**4/24 - 25*o**3 - o**2 + 7965*o. Let q(m) = 0. What is m?
-3, -2, -1, 5
Suppose -5*x + 32 = 12. Suppose -m + 25 = -x*k, -2*m + 0 = 5*k + 15. Factor -4*p**2 + 9*p**3 + 31*p**4 + 11*p**3 - 4*p**m - 32*p - 27*p**4 - 16.
-4*(p - 2)**2*(p + 1)**3
Let z(q) be the second derivative of -8/3*q**3 + 8*q**2 + 0 + 1/3*q**4 + 168*q. Find o, given that z(o) = 0.
2
Let v(c) be the first derivative of 3*c**4/2 - 9*c**3 + 15*c**2 - 9*c - 862. Solve v(x) = 0.
1/2, 1, 3
Suppose 20*y - 19*y + 66 = 0. Let u = y - -69. Factor -20 - k**4 - 2*k**4 + 20 - 9*k - 3*k**u + 15*k**2.
-3*k*(k - 1)**2*(k + 3)
Let h(q) be the second derivative of -q**6 - 82*q + 1/14*q**7 + 9/2*q**5 - 2 - 9*q**2 - 10*q**4 + 25/2*q**3. Find b such that h(b) = 0.
1, 6
Let k(f) = -36*f + 2. Let o(l) = -l. Let x(s) = 2*k(s) - 4*o(s). Let y be x(-2). Suppose -2*g**2 + y*g - 166*g + 24*g**2 + 4 = 0. What is g?
2/11, 1
Let j(l) be the second derivative of 7/2*l**2 - 1/4*l**4 - 1/60*l**6 + 1/3*l**3 + 1/10*l**5 - 14*l + 0. Let g(i) be the first derivative of j(i). Factor g(q).
-2*(q - 1)**3
Let y be 4 + 1 - 3290/(-14). Factor 65*d**2 - 4*d**3 - y*d - 201 + 381 - d**3.
-5*(d - 6)**2*(d - 1)
Suppose -2*k = 3*n - 68, 3*n + 28*k = 32*k + 62. Let i(o) be the second derivative of -9/2*o**2 - 27/160*o**5 - 19/4*o**3 + n*o + 0 - 33/16*o**4. Factor i(a).
-3*(a + 6)*(3*a + 2)**2/8
Suppose h + 72*i = 77*i - 20, -3*h - 4 = -i. Factor 0 - 4/11*t**2 - 2/11*t**5 + h*t - 10/11*t**3 - 8/11*t**4.
-2*t**2*(t + 1)**2*(t + 2)/11
Let w(m) be the second derivative of -m**4/48 + m**3/24 + 3*m**2/4 - 14*m + 105. Factor w(y).
-(y - 3)*(y + 2)/4
Let x(v) be the third derivative of 1/90*v**5 + 11/36*v**4 + 160*v**2 + 0 + 0*v + 8/3*v**3. Factor x(s).
2*(s + 3)*(s + 8)/3
Let d(r) be the second derivative of -2/7*r**3 + 0*r**2 - 1/7*r**5 + 15 + 2/105*r**6 + 1/3*r**4 + r. Let d(j) = 0. Calculate j.
0, 1, 3
Let h(p) be the second derivative of -p**4/16 - 25*p**3/4 - 69*p**2 + 2904*p. Factor h(u).
-3*(u + 4)*(u + 46)/4
Let u be ((-10828)/(-14))/(90/126). Let m = -1080 + u. Factor -6/5*w**2 - 2/15*w**3 + m*w - 22/15.
-2*(w - 1)**2*(w + 11)/15
Let f(h) be the second derivative of h**5/20 - h**3/3 - 123*h. Let p(o) = -6*o**3 + 28*o**2 + 44*o. Let z(v) = 10*f(v) + p(v). Find r, given that z(r) = 0.
-6, -1, 0
Suppose 2*j - 7*j = 2*d - 570, -3*j + 341 = d. Find t, given that -j*t + 59*t + 56*t + 3*t**2 - 3*t**4 - 3*t**3 = 0.
-1, 0, 1
Let p(f) be the third derivative of -2/15*f**5 + 9*f + 0 - 11/120*f**6 + 12*f**2 - 1/210*f**7 + 0*f**3 + 5/6*f**4. Factor p(n).
-n*(n - 1)*(n + 2)*(n + 10)
Let o(u) = u**2 + 3*u - 1. Let q be o(-4). Let a be -3*(-16)/36*(-33)/(-22). Factor -q*i**a + 3*i**2 - 4*i**2.
-4*i**2
Let g(h) be the first derivative of -h**6/9 + 4*h**5 - 217*h**4/6 + 232*h**3/3 - 160*h**2/3 + 2818. Solve g(w) = 0 for w.
0, 1, 8, 20
Let f(r) be the third derivative of -69/8*r**4 + r**2 - 4/5*r**5 + 0*r - 1/40*r**6 - 45*r**3 - 28. Factor f(s).
-3*(s + 3)**2*(s + 10)
Let l(q) be the first derivative of q**3 - 147*q**2/2 + 984*q + 288. Let l(m) = 0. Calculate m.
8, 41
Let w = 4064 - 48767/12. Let k(l) be the second derivative of -l + 1/48*l**4 + w*l**3 + 0 + 1/8*l**2. Let k(t) = 0. What is t?
-1
Let x(l) be the third derivative of l**5/20 + 1237*l**4/4 + 1530169*l**3/2 - 5136*l**2. Factor x(s).
3*(s + 1237)**2
Let w = 1172/7 - 12724/77. Factor 6*f**2 + 14/11*f**3 + 64/11*f - w.
2*(f + 2)*(f + 3)*(7*f - 2)/11
Find b such that -1575*b**2 - 33725*b**3 - 1585 + 1835*b + 33720*b**3 + 1330*b = 0.
-317, 1
Solve -20*l**3 - 10*l**3 + 39*l**3 + 33*l**4 = 0 for l.
-3/11, 0
Suppose 0 = -28698*q + 28746*q - 960. What is i in -5/4*i**3 - 45/4*i**2 - 30*i - q = 0?
-4, -1
Let a be (0 - -4)*10*41/(-8). Let v be (a/30 + 7)*(-18)/(-4). Factor 3/4*x**2 - 3/4 - 3/4*x + v*x**3.
3*(x - 1)*(x + 1)**2/4
Let a be -2 + 2 + 7 + -5. Suppose -3*c + 2*c**a - 3*c + 6*c = 0. Calculate c.
0
Suppose 3*i - 98 + 86 = 0. Solve 2*h**5 + 909 - 6*h**3 - 911 + 2*h**3 + 4*h**2 + 2*h + 0*h**i - 2*h**4 = 0 for h.
-1, 1
Let r = 8959979/62 - 144523. Let t = 9/31 - r. Let 9/2*q**4 + t*q - 3 - 3/2*q**2 - 15/2*q**3 = 0. What is q?
-1, 2/3, 1
Let z(g) be the third derivative of 4 + 0*g**3 - 1/80*g**6 + 0*g + 17/20*g**5 - 289/16*g**4 - 9*g**2. Factor z(a).
-3*a*(a - 17)**2/2
Let d = 17363 - 52087/3. Let u(f) be the first derivative of 4*f**4 + 16/5*f**5 - 10*f**2 + d*f**6 - 8*f + 33 - 8/3*f**3. Factor u(p).
4*(p - 1)*(p + 1)**3*(p + 2)
Factor 52/9*s**2 - 1/9*s**4 - 100/9*s + 49/9*s**3 + 0.
-s*(s - 50)*(s - 1)*(s + 2)/9
Suppose 60*t + 71*t = -95*t + 35*t. Let o(f) be the third derivative of -1/60*f**5 + t*f - 1/120*f**6 + 0 + 0*f**3 - 16*f**2 + 1/4*f**4. Factor o(c).
-c*(c - 2)*(c + 3)
Suppose 1417 = 8*v + 193. Let l be ((-17)/v)/((-2)/30). Solve 0 + l*a + 5/3*a**2 = 0.
-1, 0
Factor -5/9 - 1/9*j**4 - 16/9*j - 2*j**2 - 8/9*j**3.
-(j + 1)**3*(j + 5)/9
Suppose -3*g - 27 = -5*j, 4*j - 17 = 5*j + 5*g. Suppose j*t = -4*r + 3, 9 = -5*t + 2*t. Factor 41*m - 249*m + 243 - 116*m + r*m**4 - 36*m**3 + 162*m**2.
3*(m - 3)**4
Let 208/3*j + 160/3 - 206/3*j**3 - 110/3*j**2 - 50/3*j**4 - 2/3*j**5 = 0. What is j?
-20, -4, -1, 1
Let n = -1592/183 + 1832/61. Find f, given that -n*f + 4/9*f**2 + 256 = 0.
24
Let v(t) = -t**2 - 9. Let p(y) = -8*y**2 - 25*y + 3. Let j(r) = -p(r) - 2*v(r). Suppose j(l) = 0. What is l?
-3/2, -1
Let s(q) be the first derivative of 2*q**5/5 - 9*q**4/2 - 712*q**3/3 + 4284*q**2 - 7840*q + 4131. Factor s(u).
2*(u - 14)**2*(u - 1)*(u + 20)
Suppose -1/4*g**3 - 75 + 313/4*g - 3*g**2 = 0. Calculate g.
-25, 1, 12
Let g be ((-2)/(-4) - 6/12)*-1. Suppose g = 5*x - 13 - 7. Determine w so that -18*w**5 + 32*w**3 + 32*w**3 + 4*w**2 - w**3 - 5*w**3 - 40*w + 12*w**x - 16 = 0.
-1, -2/3, 1, 2
Let z(j) be the first derivative of -j**5/50 - 13*j**4/40 + 49*j**3/30 + 13*j**2/20 - 24*j/5 - 1194. Let z(a) = 0. What is a?
-16, -1, 1, 3
Let j = 22/9 + 1/18. Let o(p) = -15300*p + 168300. Let n be o(11). Factor -5/2*x**2 + n*x + j*x**3 + 0.
5*x**2*(x - 1)/2
Let u(s) be the second derivative of -31/78*s**4 + 0*s**2 + 0 - 22/39*s**3 - 144*s + 1/195*s**6 - 4/65*s**5. Determine b, given that u(b) = 0.
-2, -1, 0, 11
Suppose 1434*z - 192 = 1338*z. Factor -4/19 - 2/19*q**z - 6/19*q.
-2*(q + 1)*(q + 2)/19
Find q, given that -198306*q + 105 + 396341*q - 198145*q + 5*q**2 = 0.
1, 21
Suppose -