- u**2 + 5. Find v, given that m(v) = 0.
1, 5
Let k = 591 - 601. Let w be (-13)/(585/18)*k. Determine z so that 0 + 1/8*z**5 + 1/8*z**3 + 1/4*z**w + 0*z**2 + 0*z = 0.
-1, 0
Let a = -3040 - -3042. Let t(s) be the first derivative of 35/6*s**3 + 20*s**a - 12 + 5/8*s**4 + 30*s. Let t(h) = 0. Calculate h.
-3, -2
Let s(g) = 2*g + 31. Let y be s(-9). Suppose -3*x = l - 0*l - y, -21 = -5*x - l. Factor 16*f**3 - 6*f**3 - x*f**4 - 7*f**3 + 7*f**4.
3*f**3*(f + 1)
Let t(r) = 2*r**2 - 6*r - 5. Let p(y) = y**2 - 5*y - 4. Let z = -57 + 54. Let w(d) = z*p(d) + 2*t(d). Find o, given that w(o) = 0.
-2, -1
Suppose -8442/5*m - 2/5*m**3 + 17956/5 - 264/5*m**2 = 0. What is m?
-67, 2
Suppose -35*a + 33*a - 112 = 0. Let b be 3/(-12) - 62/a. Suppose 4/7 + 2/7*o**2 + b*o = 0. Calculate o.
-2, -1
Let m(k) = 2*k**2 + 97*k - 99. Let s be m(1). Let c(r) be the second derivative of 7/6*r**4 - 5/24*r**6 + s*r**2 + 0 - 9*r - 1/2*r**3 - 11/16*r**5. Factor c(v).
-v*(v + 3)*(5*v - 2)**2/4
Let u(a) be the first derivative of a**3/9 + 25*a**2 + 149*a/3 - 794. Solve u(d) = 0.
-149, -1
Let x = -69 + 77. Suppose 5 = x*k - 19. Factor -4*c - 3*c + 7 + k - 9 + 16*c**3 + 8*c**2.
(c + 1)*(4*c - 1)**2
Let a(q) be the second derivative of -3*q**6/20 - 1461*q**5/40 + 1313*q**4/8 - 1153*q**3/4 + 495*q**2/2 + 10533*q. Find v, given that a(v) = 0.
-165, 2/3, 1
Let m(c) be the second derivative of c**6/720 + 3*c**5/80 + 5*c**3/3 + 17*c. Let g(h) be the second derivative of m(h). Let g(l) = 0. Calculate l.
-9, 0
Let d(j) be the third derivative of 5/96*j**4 - 1/40*j**5 + 0 + 109*j**2 + 0*j + 1/480*j**6 + 1/2*j**3. Find k, given that d(k) = 0.
-1, 3, 4
Factor 177/2*r**4 + 0*r + 2325/2*r**3 + 0 - 8649/2*r**2 + 3/2*r**5.
3*r**2*(r - 3)*(r + 31)**2/2
Let q be (-1)/1 - 8*-2. Factor q - 626*a + 2*a**2 + 75 + 662*a.
2*(a + 3)*(a + 15)
Let z = -144711 - -76841614/531. Let q = z + 5/59. Factor -2/9*i**2 + 0 - q*i.
-2*i*(i + 1)/9
Let p(w) be the second derivative of 1/220*w**5 + 0*w**2 + 1/66*w**4 - 1/22*w**3 + 1 - 36*w. Factor p(l).
l*(l - 1)*(l + 3)/11
Let c = 97 - 100. Let l be 75/(-20)*(-2)/(-30)*c. Factor -1/4*p**2 - 1/2 + l*p.
-(p - 2)*(p - 1)/4
Suppose -4*u + 27 - 11 = 0. What is q in 4*q**2 + q**3 - 3*q**3 + 4*q**3 + 10*q**5 - 16*q**u = 0?
-2/5, 0, 1
Let 32*v - 1/3*v**3 + 0 + 29/3*v**2 = 0. What is v?
-3, 0, 32
Let m(b) be the first derivative of b**5/15 + 27*b**4/2 + 764*b**3 + 12719*b**2/3 + 6241*b + 11090. Solve m(l) = 0.
-79, -3, -1
Let c(a) be the first derivative of a**4/10 + 6*a**3/5 - 61*a - 23. Let b(j) be the first derivative of c(j). Factor b(h).
6*h*(h + 6)/5
Let k be 1 + -1 - 1/(-1)*0. Let v = k - -77. Determine q, given that -q**3 - v*q**5 + 5*q**4 - 2*q**2 + 72*q**5 + 3*q**4 = 0.
-2/5, 0, 1
Let n = 274 - 156. Let u = n - 115. Find z such that -40*z + 6*z + 36 - 14*z - u*z**3 + 21*z**2 = 0.
2, 3
Let a be (-290)/(-4) - 4/8. Let u = -69 + a. What is z in 8/7*z**u + 2/7*z**4 - 6/7 + 4/7*z**2 - 8/7*z = 0?
-3, -1, 1
Let w(s) be the first derivative of s**4/30 - s**3/15 - 29*s - 38. Let c(r) be the first derivative of w(r). Factor c(j).
2*j*(j - 1)/5
Let -3*i**3 + 219/2*i + 105/2 + 1/6*i**5 + 173/3*i**2 - 7/2*i**4 = 0. Calculate i.
-3, -1, 5, 21
Let k(c) = -18*c**3 + 96*c**2 - 30*c + 2. Let j be k(5). Factor -16/7*d**2 - 32/7*d + j*d**3 + 0 - 2/7*d**4.
-2*d*(d - 4)**2*(d + 1)/7
Let a(d) = -3*d**3 - 2*d**2 + 1. Let x be a(-1). Suppose -2*m = 5*p + 1, 0 = -0*m - x*m - 2*p + 2. Factor i - 5*i**2 + 5*i - i + 0*i**m + 10.
-5*(i - 2)*(i + 1)
Let g = 36129/5 + -7225. Let h(p) be the first derivative of -16*p - 24*p**2 + 30 - 52/3*p**3 - g*p**5 - 6*p**4. Factor h(n).
-4*(n + 1)**2*(n + 2)**2
Let w be (-150)/120*(-9548)/10. Let d = w + -1193. Let d*k**2 + 0*k + 0 - k**3 = 0. Calculate k.
0, 1/2
Let s(x) be the second derivative of -19/13*x**2 - 2*x + 1/130*x**5 - 1/39*x**3 + 19/78*x**4 + 2. Solve s(m) = 0 for m.
-19, -1, 1
Determine u, given that -481/3*u + 550/3*u**2 - 46/3 - 23/3*u**3 = 0.
-2/23, 1, 23
What is q in 84 - 18*q**5 + 194*q + 147*q**4 + 184*q**4 - 716*q**2 + 496*q**3 - 506*q**4 + 135*q**4 = 0?
-7, -2/9, 1, 3
Let p(n) be the first derivative of 26*n**6/3 - 872*n**5/5 + 768*n**4 - 216*n**3 - 2970*n**2 - 1296*n - 2738. Let p(d) = 0. Calculate d.
-1, -3/13, 3, 12
Suppose 0 = 2*p - 691 + 685. Let -6*z**4 + z**4 - z**4 - 720*z - 31*z**3 - 472*z**2 - 49*z**p + 2*z**4 - 324 = 0. What is z?
-9, -1
Let s be 16 + 3575/(-125) + 22 + -11 + 4. Factor 0*j**2 + 0 + s*j**4 + 2/5*j**5 + 0*j + 2*j**3.
2*j**3*(j + 1)*(j + 5)/5
Let a be (-4)/(2*8/960). Let p = -238 - a. Suppose 5 + 5/2*t**p + 15/2*t = 0. What is t?
-2, -1
Let z be 831/33 + -5 + 4/(-22). Let -112*o - 87*o**4 - 250*o**3 - 9*o**5 - 77*o**2 - 211*o**2 + 16*o - z*o**3 = 0. What is o?
-4, -1, -2/3, 0
Determine j so that 4*j**2 + 2*j**2 + 303*j**3 - 306*j**3 = 0.
0, 2
Let u(a) be the first derivative of -a**2 + 15*a + 4/3*a**3 + 1/6*a**4 - 2/5*a**5 - 3. Let x(w) be the first derivative of u(w). Factor x(j).
-2*(j - 1)*(j + 1)*(4*j - 1)
Let r(a) be the second derivative of 1/24*a**4 + 3 + 1/40*a**5 - 4/3*a**3 - 31*a + 5*a**2. Find l such that r(l) = 0.
-5, 2
Let d(w) = -106*w - 9 - 44*w**2 - 18*w - 71. Suppose 2 - 12 = -2*x. Let j(y) = 9*y**2 + 25*y + 16. Let n(p) = x*d(p) + 24*j(p). Factor n(l).
-4*(l + 1)*(l + 4)
Let t be (-1 + 3 + -3)/(9/(-6) + -2). Let k(p) be the first derivative of -1/7*p**2 + 2/21*p**3 - t*p - 14 + 1/14*p**4. Determine j so that k(j) = 0.
-1, 1
Let p be (224/588)/(5/234) + 3. Let i = 150/7 - p. What is v in 0*v**2 + 0 - 3/5*v**3 - i*v**4 + 0*v = 0?
-1, 0
Let k(x) = -6*x**2 - 71*x + 35. Let v(a) = -3*a**2 - 36*a + 15. Let i(h) = 3*k(h) - 7*v(h). Let i(r) = 0. Calculate r.
-13, 0
Let c = 263 + 15. What is u in -7*u**5 + 6*u**5 + 9*u**4 - 267*u**2 + c*u**2 + 21*u**3 = 0?
-1, 0, 11
Suppose 2058 = 51*b - 37*b. Let k = b - 145. What is q in q + 6/5 + 1/5*q**k = 0?
-3, -2
Let r be ((-12)/(-88)*(-8)/3)/((-2)/1). Factor -6/11*a + 0 + r*a**2.
2*a*(a - 3)/11
Let s(c) be the second derivative of c**5/20 + 17*c**4/4 - c**3/6 - 51*c**2/2 - 508*c + 2. What is m in s(m) = 0?
-51, -1, 1
Suppose 2/3*q**2 - 1066/3*q - 356 = 0. What is q?
-1, 534
Let k(z) = -z**2 - z + 33. Let g be 0 + 2/(-4)*4 - 4. Let f be k(g). Suppose -55*q + f*q + 51*q**3 - 52*q**3 + 125 + 15*q**2 - 23*q = 0. Calculate q.
5
Let u be (0 - 1/1)*(-15)/5. Determine a so that -2 - 838*a + 856*a - u + 3*a**2 + 5 = 0.
-6, 0
Let i(p) be the second derivative of p**5/90 + 2*p**4/9 - p**3 - 131*p**2/2 + 3*p + 4. Let j(t) be the first derivative of i(t). Factor j(u).
2*(u - 1)*(u + 9)/3
Let r(l) be the third derivative of l**6/270 - 4*l**5/45 + 7*l**4/18 - 20*l**3/27 + 793*l**2. Factor r(h).
4*(h - 10)*(h - 1)**2/9
Let r(x) be the second derivative of 7*x**4/18 + 107*x**3/27 + 10*x**2/9 - 2*x + 838. Determine w so that r(w) = 0.
-5, -2/21
Let k(s) be the third derivative of -s**8/40320 - 13*s**7/10080 + s**6/48 + 8*s**5/5 + s**2 - 31*s. Let p(v) be the third derivative of k(v). Factor p(x).
-(x - 2)*(x + 15)/2
Let d(n) be the first derivative of -5*n**2 + 0*n - 1/360*n**5 + 9 - 1/36*n**4 - 1/9*n**3. Let k(p) be the second derivative of d(p). Factor k(j).
-(j + 2)**2/6
Let s = 137863 + -137860. Suppose -37/4*r**s - 9*r + 5/2*r**4 + 0 - 1/4*r**5 + 15*r**2 = 0. Calculate r.
0, 2, 3
Let h(y) = 5*y**3 + 2226*y**2 + 24. Let k(z) = z**3 - 10*z**2 + 8. Let i(f) = -h(f) + 3*k(f). Factor i(m).
-2*m**2*(m + 1128)
Let c(m) = -2*m**2 - 1. Let o(u) = 20*u**2 + 60*u - 56. Let k be ((-1)/2)/(12/(-24)*-1). Let q(v) = k*o(v) - 8*c(v). What is s in q(s) = 0?
-16, 1
Let q(s) = 7*s**5 - 79*s**4 + 145*s**3 - 3*s - 3. Let r(w) = -9*w**5 + 81*w**4 - 146*w**3 + 4*w + 4. Let k(d) = 4*q(d) + 3*r(d). Suppose k(b) = 0. Calculate b.
0, 2, 71
Suppose 66/5*w - 8*w**2 - 14/5*w**3 + 36 = 0. What is w?
-3, -2, 15/7
Solve 86*s + 14 - 83/2*s**2 - 117/2*s**3 = 0.
-14/9, -2/13, 1
Suppose -9981512/15 + 8936/15*r - 2/15*r**2 = 0. What is r?
2234
Let q(y) = -26*y**4 + 401*y**3 + 393*y**2 - 17*y - 102. Let f(s) = 3*s**4 - 50*s**3 - 49*s**2 + 2*s + 12. Let i(a) = -51*f(a) - 6*q(a). Solve i(j) = 0.
-47, -1, 0
Let x be 4 + ((-11711)/21 - 2). Let d = x + 559. Factor d*l**3 - 4/3*l**2 + 0*l + 0.
2*l**2*(5*l - 2)/3
Let a(h) be the first derivative of -16*h - 1/4*h**4 - 118 - 10*h**2 - 8/3*h**3. Factor a(r).
-(r + 2)**2*(r + 