erivative of -25*p**7/42 + 17*p**6/3 - 23*p**5/4 - 5*p**4/2 + 106*p. Suppose g(a) = 0. What is a?
-1/5, 0, 1, 6
Let q(w) = -15*w + 31*w - 14 - 13*w. Let y be q(6). Determine c so that c**4 - 4*c - 3*c**4 + 8*c**2 - 6 + 3*c**3 + c**3 + 0*c**y = 0.
-1, 1, 3
Let f(k) = -10*k**2 + 229*k - 1279. Let s be f(11). Find q such that 20*q**3 + 50*q - 405/2*q**2 + s + 345/2*q**4 - 70*q**5 = 0.
-1, -2/7, 3/4, 1, 2
Suppose 2 + 10 = 4*z. Solve -6*j**4 + 6*j**4 - 3*j**z + j**4 = 0.
0, 3
Let g(x) = -2*x**4 + x**3 - x**2 + x + 1. Let v(y) = -52*y**4 + 311*y**3 - 851*y**2 - 1134*y + 16. Let i(a) = 16*g(a) - v(a). Let i(s) = 0. What is s?
-1, 0, 23/4, 10
Solve 5286/5 + 2637/5*j - 3/5*j**2 = 0.
-2, 881
Factor -o - 1/7*o**2 + 408/7.
-(o - 17)*(o + 24)/7
Let b(w) be the first derivative of w**4/28 + 2*w**3/3 + 53*w**2/14 + 40*w/7 + 2099. Factor b(m).
(m + 1)*(m + 5)*(m + 8)/7
Let 0 - 18/7*l - 73/7*l**2 - 4/7*l**3 = 0. What is l?
-18, -1/4, 0
Let x be 3 - (-2 - (-120)/(-48)). Factor 9*i + 3/2*i**4 - 3*i**3 + 0 - x*i**2.
3*i*(i - 3)*(i - 1)*(i + 2)/2
Let c(i) = -42*i**4 - 28*i**3 - 6*i**2 - 12*i - 4. Let l(p) = 40*p**4 + 29*p**3 + 4*p**2 + 9*p + 3. Let m(s) = -3*c(s) - 4*l(s). Solve m(x) = 0.
-1, 0, 1/17
Suppose 16 = 2*t + y, -1343*t - 3*y = -1346*t - 30. Let -66*m**t + 21 - 21/2*m**3 + 111/2*m = 0. What is m?
-7, -2/7, 1
Suppose 2*c = 4*p - 82, 30 + 80 = 5*p + 5*c. Suppose 43*n - 77 - 9 = 0. Factor -15*v**n + 6*v + p*v + 3*v**3 - 3*v - 12.
3*(v - 2)**2*(v - 1)
Let f = -47 - -50. Factor 363*j + 33*j**2 + 20*j**3 + 1331 - 17*j**f - 2*j**3.
(j + 11)**3
Solve 172/5*f + 48/5 - 2*f**4 - 4/5*f**3 + 26*f**2 = 0 for f.
-3, -1, -2/5, 4
Let a = 4534 - 4529. Let l(i) be the first derivative of 0*i + 5/12*i**3 - 1/20*i**a - 3/16*i**4 + 1/24*i**6 - 13 - 1/4*i**2. Find u, given that l(u) = 0.
-2, 0, 1
Let v(c) = 4*c**2 - 4*c + 4. Let b be v(2). Factor -3*y**2 + 2*y - 13*y + 11*y + b.
-3*(y - 2)*(y + 2)
Let c(u) be the first derivative of 23*u**6/15 - 42*u**5/25 - 93*u**4/5 + 104*u**3/3 + 24*u**2/5 + 9590. Find p, given that c(p) = 0.
-3, -2/23, 0, 2
Suppose 4/7*t**2 - 396/7*t + 0 = 0. What is t?
0, 99
Let a(y) be the first derivative of 18*y**2 + 2*y + 1/3*y**4 - 4*y**3 + 2. Let s(v) be the first derivative of a(v). Solve s(h) = 0.
3
What is u in 222/7*u + 306/7 + 46/7*u**2 + 2/7*u**3 = 0?
-17, -3
Let b(q) = -3*q**2 - q - 1. Let x(y) = -y**5 + 21*y**4 + 74*y**3 - 54*y**2 - 286*y - 198. Let g(t) = -6*b(t) + x(t). Suppose g(i) = 0. Calculate i.
-2, -1, 2, 24
Factor 16/3 - 1/3*o - 17/3*o**2.
-(o + 1)*(17*o - 16)/3
Suppose s = 5*v + 23 - 18, -4*v - 15 = -3*s. Let q(u) be the second derivative of -1/6*u**4 - 8/3*u**3 - 12*u**2 + 5*u + v. What is x in q(x) = 0?
-6, -2
Let v = -2423 + 1514. Let c = -906 - v. Factor -4/3*k - 8/3 - 1/6*k**c + 7/6*k**2.
-(k - 4)**2*(k + 1)/6
Factor 675/2 - 585/2*x - 87/2*x**2 - 3/2*x**3.
-3*(x - 1)*(x + 15)**2/2
Determine v, given that -2/5*v**3 + 382/5*v**2 + 386/5 + 154*v = 0.
-1, 193
Let i(r) be the second derivative of 2*r**6/15 + 71*r**5/5 + 139*r**4/3 + 46*r**3 - 1987*r. What is u in i(u) = 0?
-69, -1, 0
Suppose 746 - 142 = 2*l + 3*p, 0 = 5*l + 4*p - 1517. Suppose -l = -11*b + 6*b. Solve 4*k + 6*k**2 + 61 - 3*k**3 - b + 5*k**3 = 0 for k.
-2, -1, 0
Factor 1048*r**3 - 1033*r**2 + 1068*r + 30 - 123 - 4*r**5 - 252*r**4 - 559*r**2 - 175.
-4*(r - 1)**4*(r + 67)
Suppose 0*i - i = 3*g - 20, i = -5*g + 32. Suppose 4*v + 31*k + 6 = 33*k, 2*k - g = -4*v. Factor 6/5*j - 3*j**2 - 3/5*j**5 + 3/5*j**4 + v + 9/5*j**3.
-3*j*(j - 1)**3*(j + 2)/5
Let p(q) = -q**3 + 33*q**2 + 35*q - 52. Let z be p(34). Let l be ((-85)/25)/(z/10). What is t in -4/9*t + 5/9*t**4 + 16/9*t**2 - l*t**3 + 0 = 0?
0, 2/5, 1, 2
Let h(j) = j**3 - 2*j**2 + 10*j - 16. Suppose 6*x + 1846 = 1858. Let l be h(x). What is g in 1/2*g**4 + 1 + l*g + 11/4*g**3 + 21/4*g**2 = 0?
-2, -1, -1/2
Suppose -58*w + 4 = -57*w. Let v(t) be the second derivative of 5/48*t**3 - 1/8*t**2 + 1/60*t**6 - 1/48*t**w - 19*t + 0 - 1/40*t**5 - 1/336*t**7. Factor v(a).
-(a - 2)*(a - 1)**3*(a + 1)/8
Find f such that 45564 - 45584 + 16*f**3 + 9*f**2 + 9*f**2 - 16*f - 4*f**4 + 6*f**2 = 0.
-1, 1, 5
Let s(t) be the first derivative of 1/42*t**4 + 38/63*t**3 - 9 + 54/7*t + 33/7*t**2. Factor s(r).
2*(r + 1)*(r + 9)**2/21
Suppose -4*n + 4*o = -24, -2*n + 25 - 7 = -4*o. Suppose 2*i**n + 657*i**2 + 192*i + 576 - 353*i**2 - 348*i**2 = 0. Calculate i.
-2, 12
Let p = -7701 + 7705. Let w(o) be the second derivative of 4/3*o**3 + 0*o**5 + 2/15*o**6 - o**p + 0 + 0*o**2 + 17*o. Factor w(s).
4*s*(s - 1)**2*(s + 2)
Find y such that -1724/9*y**4 + 184/9*y + 28*y**5 - 908/3*y**2 + 32 - 1532/3*y**3 = 0.
-1, -4/9, 2/7, 9
Suppose -217*a = -220*a + 30. Suppose -2*m + 4*k + a = 0, k - 16 = -5*m + 2*k. Determine y, given that 2/3*y**2 + 0 - 2/9*y**m - 4/9*y = 0.
0, 1, 2
Let g(u) be the first derivative of -154 + 14*u**3 - 3/4*u**4 + 288*u - 96*u**2. Factor g(d).
-3*(d - 6)*(d - 4)**2
Let a(u) be the second derivative of u**6/105 + 216*u**5/35 + 15695*u**4/14 + 92450*u**3/21 - 11200*u. Determine l, given that a(l) = 0.
-215, -2, 0
Let u(s) be the second derivative of s**7/399 - s**6/95 - 4*s**5/95 + 2*s**4/19 + 16*s**3/57 + s - 222. What is r in u(r) = 0?
-2, -1, 0, 2, 4
Let -37/2*h**4 + 10 + 69/2*h**3 - 36*h + 17/2*h**2 + 3/2*h**5 = 0. Calculate h.
-1, 1/3, 1, 2, 10
Let r be (-1 - 10/30) + 31/21. Let b(h) be the second derivative of -r*h**4 + 4/7*h**2 - 10/21*h**3 + 0 - 12*h. Solve b(f) = 0 for f.
-2, 1/3
Factor 51 + 4*v**2 - 23*v**3 + 54 - 147 + 42.
-v**2*(23*v - 4)
Let h(v) = 3*v**2 - 65*v - 198. Let l(x) = 11*x**2 - 260*x - 789. Let z(a) = -15*h(a) + 4*l(a). Determine k, given that z(k) = 0.
-62, -3
Let p(z) be the first derivative of 32/7*z - 98 + 2/21*z**3 - 10/7*z**2. Factor p(a).
2*(a - 8)*(a - 2)/7
Suppose 34*a**5 - 105*a**4 - 405*a**3 - 87*a - 9*a**5 - 11661 + 685*a**2 + 11481 + 867*a = 0. Calculate a.
-3, -1, 1/5, 2, 6
Let g(r) be the second derivative of -r**7/8820 + 13*r**6/2520 + r**5/14 - 97*r**4/12 - 138*r. Let q(y) be the third derivative of g(y). Factor q(m).
-2*(m - 15)*(m + 2)/7
Let q(p) be the first derivative of -3 + 1/30*p**4 + 1/15*p**3 + 13*p - 2/5*p**2. Let x(j) be the first derivative of q(j). Factor x(u).
2*(u - 1)*(u + 2)/5
Let l(t) be the second derivative of 5*t**7/42 + 19*t**6 - 349*t**5/4 + 195*t**4/2 + t + 19. Suppose l(z) = 0. What is z?
-117, 0, 1, 2
Let c(l) be the second derivative of 196*l**3/3 + 5*l**2/2 + 19*l. Let i be c(1). Find j such that -397 - 2*j + i + j**2 = 0.
0, 2
Let g be 8/(-20) - (-27)/5. Suppose q = -5*i + 13, 0*q = -4*i + g*q - 7. Find p, given that 24*p - 10*p**i + 4 + 11*p - 29 = 0.
1, 5/2
Suppose 0 = 9*i + 145 - 10. Let k be 2/i*111/(-74). Factor 0*o**2 - k*o**3 + 0*o + 0.
-o**3/5
Let q(r) be the second derivative of -r**6/90 + r**5/5 + 110*r**3/3 - 114*r. Let t(c) be the second derivative of q(c). Factor t(l).
-4*l*(l - 6)
Factor 23*t**2 - 252 + 188 + 76*t - 580 - 78 - 25*t**2.
-2*(t - 19)**2
Let z(l) = -56*l**3 - 15*l**2 + l + 2. Let u be z(-2). Let j = u - 388. Factor 0 - 2/9*k**3 + j*k - 2/9*k**2.
-2*k**2*(k + 1)/9
Let o(q) = -q**3 + 12*q**2 - 8*q - 30. Let d be o(11). Factor 25*p**d + 4*p - 8*p**4 + 36*p**2 + 9 + 11*p**4 + 26*p - 7*p**3.
3*(p + 1)**3*(p + 3)
Let j(p) be the second derivative of 2*p**6/15 + 368*p**5/5 - p**4/3 - 736*p**3/3 + 6084*p. Factor j(v).
4*v*(v - 1)*(v + 1)*(v + 368)
Let k(s) be the first derivative of s**6/27 - 38*s**5/45 + 29*s**4/6 + 110*s**3/27 - 232*s**2/9 - 40*s + 1315. Solve k(m) = 0.
-1, 2, 9, 10
Let c(t) be the second derivative of -t**5/20 - 3*t**4/2 - 17*t**3/6 + 8*t**2 - 44*t. Let w be c(-17). Factor -3*h**3 + h - w*h + 369*h**2 - 351*h**2.
-3*h*(h - 5)*(h - 1)
Let b(a) be the third derivative of 0*a - 1/45*a**6 + 0 - 14*a**2 + 0*a**3 - 5/36*a**4 + 11/60*a**5 - 1/210*a**7. Factor b(g).
-g*(g - 2)*(g + 5)*(3*g - 1)/3
Let x(q) be the second derivative of q**6/150 - 67*q**5/50 - 34*q**4/15 + 67*q**3/15 + 27*q**2/2 + q - 3080. Factor x(k).
(k - 135)*(k - 1)*(k + 1)**2/5
Let n be 5 + (28/(-16) - 342/(-360)) + -4. Factor 26/5 + 27/5*g + n*g**2.
(g + 1)*(g + 26)/5
Let n(h) = 4*h**3 - h + 2. Let t be n(1). Suppose -3*o - t*c + 2 = 16, c + 4 = 0. What is r in -r**4 - 78*r**o + 8*r**3 + 8*r - 2 - r**4 + 66*r**2 = 0?
1
Factor 425/7*a - 1/7*a**2 + 122.
-(a - 427)*(a +