 - 21)
Find m, given that 228/5 - 44/5*m + 1/5*m**2 = 0.
6, 38
Let v(u) = -u**2 + 12*u - 17. Let g = 11 + -1. Let c be v(g). Find p, given that 32*p - 5*p**c - p**4 + p**2 + 39*p - 66*p = 0.
-5, -1, 0, 1
Let f(n) be the first derivative of -8*n**3/3 + 1039*n**2 + 520*n - 290. Factor f(k).
-2*(k - 260)*(4*k + 1)
Factor -9529/4*v**2 + 20460*v + 93/2*v**3 - 48400 - 1/4*v**4.
-(v - 88)**2*(v - 5)**2/4
Determine m, given that 13*m**2 - 1/3*m**3 + 41/3 + 27*m = 0.
-1, 41
Let 637*a**3 - 158*a**2 + 1974*a**3 - 122*a**4 - 14*a**5 - 1581*a**3 + 280 - 1016*a = 0. What is a?
-14, -1, 2/7, 1, 5
Let y = -14 + 16. Find p, given that -325*p + 14*p**2 - 19 + 86 + 6*p**y + 13 = 0.
1/4, 16
Suppose -2*m - 77 + 85 = 0. Solve -40*b**3 + 5*b**m + 368*b**2 - 20*b**4 + 10*b - 383*b**2 = 0.
-2, -1, 0, 1/3
Let c(a) be the second derivative of -a**6/15 - 20*a**5 - 683*a**4/3 - 968*a**3 - 1737*a**2 - 298*a + 4. Solve c(p) = 0.
-193, -3, -1
Let a(r) be the second derivative of r**4/66 + 713*r**3/33 + 712*r**2/11 + 4056*r. Factor a(n).
2*(n + 1)*(n + 712)/11
Solve -7/3*r**3 + 2*r**4 + 44/3*r - 1/3*r**5 - 8 - 6*r**2 = 0.
-2, 1, 2, 3
Suppose 4*v = 4*h - 220, -2*v - 4*h - 30 - 56 = 0. Let d = v - -177. Determine x so that 0*x**2 + 134*x + 7 - d*x + x**2 = 0.
-7, -1
Let p = 331440 + -331440. Find y such that 19/2*y**3 + p + 4*y**4 + 1/2*y**5 + 6*y**2 + 0*y = 0.
-4, -3, -1, 0
Let f(o) be the second derivative of 0*o**2 + 5/12*o**4 + 0 + 109*o - 145/6*o**3. Factor f(r).
5*r*(r - 29)
Let n(i) be the first derivative of -4*i**5/5 + 35*i**4/3 - 104*i**3/3 + 42*i**2 - 87*i - 184. Let z(q) be the first derivative of n(q). Factor z(h).
-4*(h - 7)*(h - 1)*(4*h - 3)
Let j be 51 + 19 + (-19968)/286. Factor j*h**2 - 30/11*h + 52/11.
2*(h - 13)*(h - 2)/11
Let j(o) be the third derivative of -1/45*o**5 + 64*o**2 - 17/9*o**4 + 70/9*o**3 - 1 + 0*o. Factor j(g).
-4*(g - 1)*(g + 35)/3
Let h(n) = 25*n**3 + 61*n**2 - 71*n - 94. Let l(f) = 4*f**3 + 10*f**2 - 12*f - 16. Let s(t) = -2*h(t) + 13*l(t). Factor s(j).
2*(j - 2)*(j + 1)*(j + 5)
Let x(f) be the first derivative of -f**4/3 - 20*f**3/9 + 26*f**2/3 - 28*f/3 + 349. Factor x(d).
-4*(d - 1)**2*(d + 7)/3
Solve -166/7*b**4 + 18/7*b**5 + 72/7 - 360/7*b + 342/7*b**3 + 94/7*b**2 = 0.
-1, 2/9, 1, 3, 6
Factor 4/3*z**2 + 0 - 1/3*z**3 + 7*z.
-z*(z - 7)*(z + 3)/3
Determine b so that -1518*b**4 + 2330*b**2 - 20*b**5 - 1918*b + 403*b - 484 + 54 - 25*b**5 - 382*b**4 + 1560*b**3 = 0.
-43, -1, -2/9, 1
Suppose -23*b = -58 + 12. Factor 14*a**3 + 2*a**2 - 2*a**b - 18*a**3 + 4*a**4.
4*a**3*(a - 1)
Suppose -40 = -3*o - 4*m, -3506*o + 4*m - 36 = -3508*o. Factor -14/3*n**o - 2/3*n**5 + 0*n**2 - 4*n**3 + 0 + 0*n.
-2*n**3*(n + 1)*(n + 6)/3
Let c(v) = -21 - 3*v**2 + 7*v - v**3 + 0*v**3 + 9. Let b be c(-5). Factor 0*g**4 - g**5 - 45*g + 45*g - 2*g**4 - g**b.
-g**3*(g + 1)**2
Let l(p) be the second derivative of p**4/12 - 561*p**3 + 2832489*p**2/2 - 1191*p. Factor l(g).
(g - 1683)**2
Suppose -474*r = -558*r. Determine t so that -3*t**2 + 1/3*t**4 + r*t + 0 + 0*t**3 = 0.
-3, 0, 3
Factor 2/5*r**3 - 138/5*r**2 + 2448/5*r - 2312/5.
2*(r - 34)**2*(r - 1)/5
Let g = 93113/8874 + 32/4437. Determine t so that 3/2*t**4 + g*t + 27/2*t**2 + 15/2*t**3 + 3 = 0.
-2, -1
Let b(v) be the first derivative of 2*v**3 + 2097*v**2/2 - 1050*v + 2251. Factor b(k).
3*(k + 350)*(2*k - 1)
Let u be 5434/143 - 33/1. Factor -36*w - 4/5*w**u - 44/5 - 40*w**3 - 12*w**4 - 56*w**2.
-4*(w + 1)**4*(w + 11)/5
Let c(z) = z**3 - 108*z**2 + 176*z + 3820. Let s be c(106). Determine f so that 2*f**3 + 1/5*f**s + 16/5*f**2 + 0*f + 0 = 0.
-8, -2, 0
Let o(w) = -135*w**4 - 65*w**3 + 70*w**2 + 50*w - 55. Let b(r) = 67*r**4 + 32*r**3 - 39*r**2 - 25*r + 28. Let d(j) = -15*b(j) - 7*o(j). Let d(f) = 0. What is f?
-1, 7/12, 1
Factor -64/9*r + 44/9*r**2 - 1280/9 + 4/9*r**3.
4*(r - 5)*(r + 8)**2/9
Let l(h) = -h**2 - h - 1. Let n be 8/2 + -3 - -59. Let g = 62 - n. Let z(c) = -5*c**2 - 3*c - 3. Let w(i) = g*z(i) - 6*l(i). Factor w(y).
-4*y**2
Let c = 363511/45 + -40389/5. Factor 2*b - c*b**3 + 10/9 + 2/3*b**2.
-2*(b - 5)*(b + 1)**2/9
Let v(i) be the first derivative of 169/8*i**2 + 1/16*i**4 + 0*i - 13/6*i**3 - 142. Solve v(d) = 0.
0, 13
Suppose 152/3*y**4 + 92/9*y**5 + 52/3*y + 608/9*y**2 - 8/9 + 808/9*y**3 = 0. What is y?
-2, -1, 1/23
Let z(s) = -s**2 + 1. Let h(p) = p**4 - 102*p**3 - 112*p**2 + 206*p + 7. Let g(c) = h(c) - 7*z(c). Determine n, given that g(n) = 0.
-2, 0, 1, 103
Let g = -40/809 - -2138/10517. Suppose 6/13*v**2 + 6/13*v**3 + g*v + 2/13*v**4 + 0 = 0. What is v?
-1, 0
Let g = 1750/19539 + 288/2171. Factor 0 - 4/9*t**3 + 0*t**2 + 0*t + g*t**5 + 2/9*t**4.
2*t**3*(t - 1)*(t + 2)/9
Let g(u) = -10*u**2 - 290*u + 614. Let y(q) = -9*q**2 - 291*q + 613. Let o(s) = -5*g(s) + 6*y(s). Factor o(f).
-4*(f - 2)*(f + 76)
Let t(x) be the third derivative of x**6/300 - 3*x**5/50 + 7*x**4/30 - 2*x**2 + x - 1102. Factor t(u).
2*u*(u - 7)*(u - 2)/5
Let m be -8 + 1 + (-20 - -22). Let i be 4*m*(27/15 + -2). Factor 49 + 2*l + 48*l - i*l**3 + 13*l + 15*l**2 + 5*l**3.
(l + 1)*(l + 7)**2
Let h(l) = l**4 - l. Suppose 17 = -22*v + 39*v. Let u(f) = 256*f**5 - 190*f**4 + 48*f**3 - 4*f**2 - 2*f. Let a(g) = v*u(g) - 2*h(g). Let a(b) = 0. Calculate b.
0, 1/4
Let g = 481 + -466. Suppose 0 = 5*d - 5*z + 5, -3*d - g = -5*z - 6. Factor 2/9*n**4 + 0*n**d + 0*n + 2/9*n**3 + 0.
2*n**3*(n + 1)/9
Let r(o) be the third derivative of -o**6/180 - 17*o**5/60 - 4*o**4/3 + 151*o**3/6 - 2*o**2 + o. Let x(u) be the first derivative of r(u). Factor x(s).
-2*(s + 1)*(s + 16)
Let h(q) be the second derivative of q**8/280 - q**7/42 - 2*q**6/45 + 5*q**3/6 - 11*q**2/2 - 2*q + 4. Let g(b) be the second derivative of h(b). Factor g(o).
2*o**2*(o - 4)*(3*o + 2)
Suppose 7*h - 2800 = -28*h. What is o in 85*o - o**2 - h + 8*o**2 - 12*o**2 = 0?
1, 16
Let k(x) be the second derivative of 28/3*x**3 + 261*x - 1 - 1/12*x**4 + 0*x**2. Factor k(i).
-i*(i - 56)
Let n be (-5 + 56/21)/((-1)/6). Let g(i) be the first derivative of -1 + 1 - i**4 - 5*i**3 + 4*i - 6*i**2 + n. Factor g(y).
-(y + 2)**2*(4*y - 1)
Let h(m) be the first derivative of -3*m**4/16 - 107*m**3/8 + 27*m**2/2 - 100*m + 35. Let a(n) be the first derivative of h(n). Find p such that a(p) = 0.
-36, 1/3
Solve 2086/3*n**4 - n**5 - 161008*n**3 + 12379520*n**2 + 0 + 24974336/3*n = 0.
-2/3, 0, 232
Let w = -8978/231 + 1292/33. Find t such that -w*t**2 + 10/7*t + 12/7 = 0.
-1, 6
Let p(n) be the first derivative of -35 + 1/25*n**5 + 1/20*n**4 + 0*n**3 + 0*n + 0*n**2. Factor p(t).
t**3*(t + 1)/5
Suppose -19*q = -20*q + 4*d + 16, 18 = 3*q - 2*d. Suppose q*i + 2*k - 2 = 0, i - 9 - 5 = 4*k. Factor 3/4*j**i + 0 + 3/2*j.
3*j*(j + 2)/4
Let r be ((-133)/(-98))/((-2)/(-8)) + 648/1134. Suppose r*g**3 - 9*g + 3/2*g**4 + 0 + 3/2*g**2 = 0. Calculate g.
-3, -2, 0, 1
Let n(d) be the second derivative of -2*d**7/21 - 7*d**6/15 + d**5/5 + 13*d**4/6 - 2*d**3 - 1017*d - 1. Solve n(c) = 0.
-3, -2, 0, 1/2, 1
Suppose -o = 2*k + 8, 23 = 3*o - 2*k + 7. Let g be -11 - -20 - 1*o. Factor -8*j**2 - g*j**2 + 11*j**2 - 4*j + 10 - 2.
-4*(j - 1)*(j + 2)
Let x = 1677 + -1685. Let f be (-84)/x + (-8)/(8/3). Find t, given that -3/2*t**4 + 9/2 - f*t - 3/2*t**5 + 9*t**3 - 3*t**2 = 0.
-3, -1, 1
Let u be (-15)/6 - (-179569)/79876. Let g = -2/1051 - u. Let -g*j**2 + 1/4 - 1/4*j**3 + 1/4*j = 0. What is j?
-1, 1
Let l(z) = 5*z**3 - 50*z**2 - 315*z - 488. Let a(k) = -14*k**3 + 149*k**2 + 942*k + 1459. Let f(g) = -4*a(g) - 11*l(g). Factor f(o).
(o - 52)*(o + 3)**2
Let -14*t + 1/5*t**2 + 441/5 = 0. What is t?
7, 63
Solve 430/11*v + 2/11*v**2 - 432/11 = 0.
-216, 1
Suppose -619*o + a = -619*o + 6, -2*o + 16 = 2*a. Suppose 34/7*q - 8/7*q**o - 8/7 = 0. Calculate q.
1/4, 4
Let t(o) be the third derivative of o**7/210 - 3*o**6/8 - 47*o**5/60 + 15*o**4/8 + 23*o**3/3 + 2*o**2 + 651. Find h such that t(h) = 0.
-1, 1, 46
Let f(z) = 9*z**3 - 69*z**2 + 32*z - 25. Let x(b) = b**3 - 21*b + 1. Let i(k) = f(k) - 5*x(k). Solve i(n) = 0.
1/4, 2, 15
Let h(g) be the first derivative of 140 - 36/5*g**5 + 27/2*g**2 + 105/4*g**4 - 33*g**3 + 3*g. Factor h(n).
-3*(n - 1)**3*(12*n + 1)
Let h = -109/5 + 22. Let z = 246 + -1229/5. Find f, given that -z*f**2 + h*f + 2/5 = 0.
-1, 2
Factor 16*s**3 + 2/13*s**4 + 92480/13*s + 157216/13 + 7344/13*s**2.
2*(s + 2)*(s + 34)**3/13
Factor j**4 - 135*j**3