rmine o, given that v(o) = 0.
0, 1, 13
Let f(p) be the third derivative of p**7/630 + p**6/90 + p**5/30 + p**4/12 - 6*p**2. Let j(q) be the second derivative of f(q). Determine d so that j(d) = 0.
-1
Factor 15/2*a**3 + 0 + 1/2*a**5 + 2*a + 13/2*a**2 + 7/2*a**4.
a*(a + 1)**3*(a + 4)/2
Let v(w) be the second derivative of 3*w**5/10 + 407*w**4/6 + 13736*w**3/3 - 4624*w**2 - 252*w. Factor v(b).
2*(b + 68)**2*(3*b - 1)
Let g(o) be the second derivative of 8*o**7/105 + 46*o**6/75 - 9*o**5/25 - 6*o**4/5 - 17*o - 5. Suppose g(a) = 0. What is a?
-6, -3/4, 0, 1
Let q(l) be the first derivative of -30 + 3/20*l**4 + 3/5*l**3 - 3/10*l**2 - 3/25*l**5 - 6/5*l. Determine t, given that q(t) = 0.
-1, 1, 2
Factor 39*o + 0 + 3/2*o**2.
3*o*(o + 26)/2
Let o = 262 - 260. Let q(f) be the second derivative of -5*f + 0*f**o + 0*f**3 + 1/45*f**6 + 1/18*f**4 + 0 + 1/15*f**5. Determine m, given that q(m) = 0.
-1, 0
Suppose -33*b - 27*b + 860 = -2980. Factor b - 4/9*c**3 + 100/9*c**2 - 224/3*c.
-4*(c - 12)**2*(c - 1)/9
Let u be 1/(4/((-64)/(-24))). Let j(f) be the first derivative of -6*f + u*f**3 - 2*f**2 - 1. Let j(x) = 0. What is x?
-1, 3
Let z(v) = -v**2 + 4*v - 113. Let r be z(0). Let n = -110 - r. Determine d, given that -3/2*d**n + 0 + 1/2*d**4 + d - 1/2*d**2 + 1/2*d**5 = 0.
-2, -1, 0, 1
Let x(m) be the first derivative of -14*m**6/3 + 36*m**5/5 + 5*m**4 - 12*m**3 + 4*m**2 - 216. Solve x(t) = 0 for t.
-1, 0, 2/7, 1
Find z such that 2/7*z**4 - 4/7*z + 0 + 10/7*z**2 - 8/7*z**3 = 0.
0, 1, 2
Let q(s) be the second derivative of s**5/50 - 2*s**4/5 + 7*s**3/3 + 380*s. Factor q(h).
2*h*(h - 7)*(h - 5)/5
Let s(u) be the third derivative of -u**8/84 + 4*u**7/105 + u**6/15 - 8*u**5/15 + 7*u**4/6 - 4*u**3/3 + 89*u**2. Find j such that s(j) = 0.
-2, 1
Let i(p) be the third derivative of p**7/3780 + p**6/1080 + p**4/6 + 11*p**2. Let c(j) be the second derivative of i(j). Find q, given that c(q) = 0.
-1, 0
Suppose -217*f + 219*f = 4. Let k(c) be the first derivative of 10/33*c**3 + 8/11*c + 1/22*c**4 - 8 + 8/11*c**f. Factor k(j).
2*(j + 1)*(j + 2)**2/11
Let v(j) = j**5 - j**3 - j**2 - 2*j + 1. Let t(z) = -45*z**5 - 485*z**4 - 745*z**3 - 215*z**2 + 140*z + 100. Let m(b) = t(b) - 25*v(b). Solve m(q) = 0 for q.
-5, -1, -3/7, 1/2
Let w be (-236)/295*(-10)/4. Let b(t) be the second derivative of -2/3*t**3 - 3*t**2 + w*t + 1/6*t**4 + 0. Factor b(a).
2*(a - 3)*(a + 1)
Find j such that -131 + 16*j + 2*j**4 - 16*j**3 + 99 + 0*j**3 + 2*j**2 + 28*j**2 = 0.
-1, 1, 4
Suppose 4*y - 6 - 9 = h, -3*h + 23 = 5*y. Determine r so that 0 + 8/3*r**2 - 2/3*r - 2/3*r**5 - y*r**3 + 8/3*r**4 = 0.
0, 1
Suppose -4*p + 99 = 79. Suppose 12 = 3*z, -j - 2*j - 8 = -2*z. Factor 4/7*o**4 + j*o - 2/7*o**p + 0*o**2 - 2/7*o**3 + 0.
-2*o**3*(o - 1)**2/7
Let f = 51/2 + -57/4. Determine j, given that f*j**2 + 5 + 15*j = 0.
-2/3
Let j(l) be the first derivative of -l**6/45 + l**5/30 + l**4/18 - l**3/9 + 32*l - 3. Let r(c) be the first derivative of j(c). Factor r(g).
-2*g*(g - 1)**2*(g + 1)/3
Factor 2/15*d**3 + 14/5*d + 8/5*d**2 - 196/15.
2*(d - 2)*(d + 7)**2/15
Let v(w) = w**4 - 2*w**2 + w + 1. Let j(k) = -2*k**4 - 13*k**3 + 24*k**2 + 157*k + 125. Let f(d) = j(d) + 3*v(d). Let f(g) = 0. Calculate g.
-2, -1, 8
Let h be 2/12 - (-10 + ((-167245)/546)/(-31)). What is z in -z**2 + h*z + 0 + 1/7*z**5 - 5/7*z**4 + 9/7*z**3 = 0?
0, 1, 2
Determine l so that 64 - 4/3*l**4 - 20/3*l**3 + 16/3*l**2 + 176/3*l = 0.
-4, -2, 3
Let i be 6 + (2380/(-21))/20. What is x in i*x**2 + 1/3*x**3 + 0*x + 0 = 0?
-1, 0
Factor 0*y**2 + 0 - 34/11*y**4 + 2/11*y**3 + 0*y.
-2*y**3*(17*y - 1)/11
Factor 25*v**2 - 7*v**2 - 52 + 48*v - 3*v**2 - 4*v**2 - 7*v**2.
4*(v - 1)*(v + 13)
Let k(h) = 5*h. Let r be k(1). Let x = 7 - r. Suppose 6 + 11*q + 12*q**x - 3*q + 3*q**3 + 7*q = 0. Calculate q.
-2, -1
Let q be ((-9)/21 - -1)/((-22)/(-77)). What is t in 2/3*t**q + 0 + 0*t + 2/3*t**3 = 0?
-1, 0
Suppose -7*b - 15019 + 15040 = 0. Factor 3/5*j**b + 0 + 0*j - 3/5*j**4 + 0*j**2.
-3*j**3*(j - 1)/5
Let i(r) = -6*r**3 - 8*r**2 + 2*r + 4. Let k(n) = 17*n**3 + 25*n**2 - 6*n - 14. Let y(v) = -11*i(v) - 4*k(v). Factor y(h).
-2*(h - 1)*(h + 1)*(h + 6)
Let z(c) be the second derivative of c**8/36960 + c**7/2772 + c**6/495 + c**5/165 - 13*c**4/12 - 5*c. Let f(n) be the third derivative of z(n). Factor f(b).
2*(b + 1)*(b + 2)**2/11
Let u(h) = h**2 - h - 2. Let r(y) = 15*y**2 + 150*y - 120. Let l(z) = -r(z) + 6*u(z). Factor l(d).
-3*(d + 18)*(3*d - 2)
Let z(a) = 2*a**4 + 8*a**3 - 20*a**2 + 10*a - 3. Let u(l) = -l**4 - 8*l**3 + 19*l**2 - 10*l + 2. Let r(y) = 3*u(y) + 2*z(y). Factor r(f).
f*(f - 5)*(f - 2)*(f - 1)
Let u(f) be the second derivative of 0*f**2 + 1/90*f**6 + 0 + 1/18*f**3 + 4*f - 1/36*f**4 - 1/60*f**5. Determine o, given that u(o) = 0.
-1, 0, 1
Let d(l) = l**3 + 11*l**2 + 11*l + 10. Let c be d(-10). Let j(h) = -h**3 - h**2 + h + 2. Let a be j(c). Factor 1 + 5*w**a + 5 - 4 + 7*w.
(w + 1)*(5*w + 2)
Let c(b) = b**4 - b**2 - b. Let m(t) = -8*t**4 + 2*t**3 + 7*t**2 + 7*t. Let n = 31 + -3. Let d(j) = n*c(j) + 4*m(j). Factor d(g).
-4*g**3*(g - 2)
Suppose -4*q = -47*l + 42*l - 3, 4*l = 4. Suppose -5/2 - 1/10*o**q + o = 0. What is o?
5
Let w(o) = -20*o**4 + 114*o**3 - 225*o**2 + 119*o. Let g(t) = 0*t**3 + 32*t + 20*t**4 - 150*t + 225*t**2 - 113*t**3. Let z(f) = -6*g(f) - 7*w(f). Factor z(d).
5*d*(d - 1)*(2*d - 5)**2
Let y(g) be the first derivative of 2/45*g**5 - 1/180*g**6 + 2/9*g**3 - 6 - 1/2*g**2 + 0*g - 5/36*g**4. Let w(i) be the second derivative of y(i). Factor w(s).
-2*(s - 2)*(s - 1)**2/3
Let f(i) be the third derivative of 0 - 1/18*i**4 + 0*i - 7/90*i**5 - 12*i**2 - 1/45*i**6 + 1/9*i**3. Determine z, given that f(z) = 0.
-1, 1/4
Let v(z) be the first derivative of -18*z**2 - 12*z + 45/4*z**4 + z**3 - 14. Find a such that v(a) = 0.
-2/3, -2/5, 1
Let h(u) be the second derivative of u**8/36960 + u**7/13860 - u**6/990 - u**5/165 - 5*u**4/4 - 30*u. Let f(r) be the third derivative of h(r). Factor f(i).
2*(i - 2)*(i + 1)*(i + 2)/11
Let s be (-7 - -19)/((-20)/(-15)) - (-1476)/32. What is i in -21/4*i + s*i**2 + 1/8 = 0?
1/21
Let y = 24 + -22. Find w, given that y*w + 4*w**3 + 77*w**2 + 1 + 0 - 84*w**2 + 0 = 0.
-1/4, 1
Factor 126 - 3/2*i**2 + 249/2*i.
-3*(i - 84)*(i + 1)/2
Suppose 3*b - d = -0*d - 1, 5*b + 2*d + 20 = 0. Let o be (12/(-42))/(b/14). Factor -h**3 - h + o*h**2 - 2 - 3*h + 3*h**3 + 2*h.
2*(h - 1)*(h + 1)**2
Factor 1/3*w**5 + 4*w**3 + 2/3*w**2 + 2 - 8/3*w**4 - 13/3*w.
(w - 6)*(w - 1)**3*(w + 1)/3
Suppose -26*x - 40 = 41*x - 87*x. Suppose 8/3 + 2/3*i**x - 8/3*i = 0. What is i?
2
Suppose 0 = -21*x + 22*x + 44. Let z(k) = 14*k**3 + 22*k**2 - 22. Let p(j) = -2*j**3 - 3*j**2 + 3. Let a(w) = x*p(w) - 6*z(w). Factor a(f).
4*f**3
Let g be -4 - ((-38)/6 - -1). Let y(n) = 32*n - 222. Let l be y(7). Factor l*r + g + 2/3*r**2.
2*(r + 1)*(r + 2)/3
Let b = 557/5 - 111. Let m = b + -3/20. Factor 0*y - 1/2*y**2 + m*y**4 + 0 - 1/4*y**3.
y**2*(y - 2)*(y + 1)/4
Let k(z) be the second derivative of z**7/336 + z**6/80 - 7*z**5/160 - 5*z**4/32 + 3*z**3/8 + 122*z. Suppose k(f) = 0. What is f?
-3, 0, 1, 2
Let a(z) = 15*z**2 - z - 2. Let g be a(4). Suppose 0 = -5*b + 86 + g. Factor 3*s**4 + 6*s**5 + 58*s**3 - 12*s**4 - b*s**3.
3*s**3*(s - 2)*(2*s + 1)
Determine l, given that 10*l**4 - 2*l**4 - 5*l**3 + l**5 + 3*l**2 + l**3 - 9*l**4 + l**2 = 0.
-2, 0, 1, 2
Suppose -3*x + 5*r = 43, 3*x = 4*r - 7*r - 51. Let w(f) = -f**2 + f. Let d(h) = 4*h**3 + 40*h**2 + 32*h + 32. Let b(k) = x*w(k) - d(k). What is v in b(v) = 0?
-2
Let l(h) = -28756222*h**3 - 446982*h**2 - 2298*h - 4. Let n(w) = 57512443*w**3 + 893963*w**2 + 4593*w + 8. Let f(a) = -13*l(a) - 6*n(a). Solve f(z) = 0.
-1/193
Let x(s) be the first derivative of 155/3*s**3 - 80*s - 5 + 5*s**4 + 140*s**2. Factor x(v).
5*(v + 4)**2*(4*v - 1)
Let l(o) be the first derivative of 3/22*o**4 - 16/33*o**3 - 4/11*o + 12 + 7/11*o**2. Factor l(b).
2*(b - 1)**2*(3*b - 2)/11
Suppose -17*d = -21*d - 160. Let h be d/(-18) + (-4)/2. Determine b, given that -h*b**2 - 2/9 - 4/9*b = 0.
-1
Suppose 7*t + t = 16. Let o**4 + 5*o**4 - 3*o**5 - 22*o**2 + 12*o**3 - t*o**2 = 0. Calculate o.
-2, 0, 2
Suppose -x = -4*c + 53, 2*c - x - 44 = 3*x. Factor -12*s**3 + c*s**2 - 46 + 16*s**2 + 30.
-4*(s - 2)*(s - 1)*(3*s + 2)
Suppose 5*g = 2*g - 9, 5*v + 5*g - 25 = 0. Suppose 5