336 - 2*a**7/105 - a**6/30 + a**5/30 + 5*a**4/24 + a**3/3 + 513*a**2. Find k such that i(k) = 0.
-2, -1, 1
Let y = -721221 - -5048550/7. Factor 0*o - y*o**4 + 0 + 108/7*o**2 - 48/7*o**3.
-3*o**2*(o - 2)*(o + 18)/7
Let w be ((-51)/(-34) - (2 + 0))*-4. Factor -55*z - 9*z**w - 261 + 261 + 4*z**2.
-5*z*(z + 11)
Determine u so that 11484 + 3126*u**2 + 5962*u**2 + 660*u**4 + 49800*u + 16*u**5 + 4368*u**4 - 24216*u**3 = 0.
-319, -1, -1/4, 3
Let l(d) be the first derivative of -5*d**5/12 - 235*d**4/24 - 15*d**3 + 47*d**2 - 133. Let p(t) be the second derivative of l(t). Factor p(o).
-5*(o + 9)*(5*o + 2)
Factor -170/7*f**4 + 0*f**2 + 0*f + 0 + 2/7*f**5 + 332/7*f**3.
2*f**3*(f - 83)*(f - 2)/7
Let a(s) = -5*s**2 - 2*s - 4. Let w(z) = 27*z**2 + 15*z + 20. Let n(o) = 9*o**2 + 5*o + 7. Let x(m) = -7*n(m) + 2*w(m). Let d(q) = 7*a(q) - 4*x(q). Factor d(c).
(c + 2)*(c + 4)
Find a such that 38/11*a**2 - 2/11*a**5 - 14/11*a**4 - 24/11 + 8/11*a - 6/11*a**3 = 0.
-6, -2, -1, 1
Let p(w) be the first derivative of -2*w**5/25 + 33*w**4/10 + 212*w**3/15 + 72*w**2/5 + 5584. What is f in p(f) = 0?
-2, -1, 0, 36
Let a(k) be the third derivative of -k**7/75 + k**6/3 + 91*k**5/150 - 61*k**4/15 + 4*k**3 - 1719*k**2. Let a(j) = 0. Calculate j.
-2, 2/7, 1, 15
Factor -14*z + 251*z**2 + 249*z**2 - 10*z - 497*z**2.
3*z*(z - 8)
Suppose 15*v**2 + 3*v**2 - 4284*v - 34*v**2 + 12*v**2 + 8*v**2 = 0. What is v?
0, 1071
Let v(s) be the first derivative of s**6/12 + 39*s**5/10 + 27*s**4/2 - 8953. Factor v(i).
i**3*(i + 3)*(i + 36)/2
Let z = -25 + 53. Let o = 38 - z. Factor 7*t + t**2 - t - o*t**2 - 3*t.
-3*t*(3*t - 1)
Let q(k) be the first derivative of -k**5/30 + 263*k**4/12 + k**3/18 - 263*k**2/6 + 9740. Factor q(a).
-a*(a - 526)*(a - 1)*(a + 1)/6
Let y(h) be the second derivative of -5*h**7/189 + 22*h**6/135 - 11*h**5/30 + 10*h**4/27 - 4*h**3/27 + 1530*h. Determine i, given that y(i) = 0.
0, 2/5, 1, 2
Let g(r) be the first derivative of -5*r**3/9 + 55*r**2 + 345*r + 3025. Factor g(u).
-5*(u - 69)*(u + 3)/3
Let z(w) be the first derivative of 5*w**3/3 - 95*w**2 + 1805*w - 90. Determine i, given that z(i) = 0.
19
Let d be 8 + 0 + 1*6/(-2). Let u(z) = 15*z**3 + 75*z**2 + 45*z - 135. Let t(w) = 10*w**3 + 50*w**2 + 30*w - 90. Let h(x) = d*u(x) - 7*t(x). Solve h(b) = 0.
-3, 1
Let m(v) be the third derivative of 9*v**2 + 2/45*v**5 - 13/9*v**4 + 1 + 169/9*v**3 + 0*v. Let m(k) = 0. Calculate k.
13/2
Let p(w) be the second derivative of w**7/5880 - w**6/210 + w**5/40 + 17*w**4/6 + 42*w. Let k(v) be the third derivative of p(v). Suppose k(h) = 0. Calculate h.
1, 7
Let t(g) = 3*g**4 - 78*g**3 - 1369*g**2 + 8*g + 4. Suppose 14 - 42 = -7*v. Let f(c) = c**4 - c**3 + 2*c + 1. Let p(z) = v*f(z) - t(z). Factor p(j).
j**2*(j + 37)**2
Let q(s) be the third derivative of 1/3*s**3 - 1/120*s**6 + 0*s - 1/30*s**5 + 1/24*s**4 + 0 + 13*s**2. Factor q(u).
-(u - 1)*(u + 1)*(u + 2)
Let g be 35/(-10) - -3 - 5*27/(-270). Factor -99/7*p**2 + g + 3/7*p**3 + 0*p.
3*p**2*(p - 33)/7
Let c(o) be the third derivative of 0 - 300*o**2 - 1/3*o**4 + 0*o + 2/5*o**5 + 1/9*o**3. Suppose c(j) = 0. What is j?
1/6
Suppose 0 = 3*b + 2*t - 40, -5*t - 10 = -3*b - 5. Suppose 10*g + b*g = -12*g. Suppose 8/9 + g*f - 2/9*f**2 = 0. What is f?
-2, 2
Let y(f) be the third derivative of f**9/12096 + 17*f**3/6 - 23*f**2 + 1. Let c(x) be the first derivative of y(x). Find v such that c(v) = 0.
0
Let w be 1020/(-595) + (-4 - 454/(-77)). Let -160/11*x - 3200/11 - w*x**2 = 0. Calculate x.
-40
Let c(v) be the first derivative of -2*v**3/57 - 100*v**2/19 - 12293. Find z, given that c(z) = 0.
-100, 0
Let d be ((-18)/(-21))/(8/252). Find n, given that 6*n - 8*n**2 + 19*n**2 + 21*n**2 + d*n**3 + 5*n**3 = 0.
-3/4, -1/4, 0
Let z(s) be the second derivative of s**6/40 + 3*s**5/10 - 7*s**4/8 + 19*s**2 - 283*s. Let y(l) be the first derivative of z(l). Factor y(w).
3*w*(w - 1)*(w + 7)
Let b(g) be the third derivative of -g**5/180 + 43*g**4/36 - 28*g**3/3 - 179*g**2 + 1. Find p, given that b(p) = 0.
2, 84
Factor 227*b**3 - 2*b**4 - 125*b**2 + 259*b + 188*b**3 + 1296 + 533*b - 319*b**2 - 357*b**3.
-2*(b - 18)*(b - 6)**2*(b + 1)
Let l(a) be the third derivative of a**8/336 + 227*a**7/210 + 8429*a**6/60 + 38423*a**5/6 - 1915067*a**4/24 - 2282665*a**3/6 + 690*a**2 + 2*a. Factor l(b).
(b - 5)*(b + 1)*(b + 77)**3
Let n(h) be the second derivative of -h**2 + 4/39*h**3 - 17*h + 1/78*h**5 + 1/780*h**6 + 0 + 2/39*h**4. Let o(v) be the first derivative of n(v). Factor o(r).
2*(r + 1)*(r + 2)**2/13
Suppose 4*d + i = 52, 5*d - 26 = 3*d - 3*i. Factor 19 - 26*z**2 + 6*z**2 + d*z**2 - 18*z + 6*z**2.
-(z - 1)*(z + 19)
Let a = 145/24 - 27/8. Let v(d) be the first derivative of -23 - d**2 + a*d - 2/9*d**3. Suppose v(n) = 0. What is n?
-4, 1
Let u be (-39)/(165/44*(-6)/15). Suppose 4*l = p + 3, -4*l + 3*p - u + 19 = 0. Let -3/4 - 27/4*n**l + 15/2*n = 0. Calculate n.
1/9, 1
Let f(c) = -29*c**2 - 88*c + 7. Let d(x) = 15*x**2 + 51*x - 4. Let t(k) = 7*d(k) + 4*f(k). Find a such that t(a) = 0.
0, 5/11
Let d(f) be the second derivative of -7*f**6/10 - 31*f**5/4 - 131*f**4/6 - 26*f**3/3 + 20*f**2 - 2714*f. Solve d(l) = 0 for l.
-5, -2, -2/3, 2/7
Let c(g) be the first derivative of -g**4/16 + 2*g**3/3 - 17*g**2/8 + 5*g/2 + 379. Factor c(y).
-(y - 5)*(y - 2)*(y - 1)/4
Let w(p) = 5*p**2 + 12*p - 29. Let t(r) = r - 10. Let h be t(0). Let y(n) = -16*n**2 - 36*n + 86. Let l(s) = h*w(s) - 3*y(s). Find g, given that l(g) = 0.
-8, 2
Let z = -37/4 - -10. Suppose 14*c - 3 = -3*k + 17*c, -7 = 2*k - 5*c. Let z*y**2 - 3/4*y**k + 3/4*y + 0 - 3/4*y**3 = 0. What is y?
-1, 0, 1
Let x(o) = o**2 - 18*o + 20. Let p be x(17). Determine y, given that 48 - 216*y - 80*y**4 + 219*y**2 + 14*y**4 + 15*y**4 + 9*y**p - 9*y**5 = 0.
-4, 1/3, 1
Let i be 16608/(-3633) + 915/168. Find q, given that q + i + 1/8*q**2 = 0.
-7, -1
Factor 187*j**2 - 23*j - 362*j**2 - 18*j - 27*j + 1156 + 176*j**2.
(j - 34)**2
Suppose 30 = 14*h - 4*h. Factor 400*u**2 - 11*u**3 - 345*u - 117*u**h + 51 + 3*u**3 + 39.
-5*(u - 2)*(5*u - 3)**2
Let n = -710 + 744. Suppose -116 = -n*t - 24*t. Factor 0*x + 12/23*x**t + 0 + 2*x**3 + 40/23*x**4.
2*x**2*(4*x + 3)*(5*x + 2)/23
Suppose i - 3*j = -0*j + 5, -5*j = 10. Let l be 0/i*(46 + -45). Factor 3/5*r**2 + 9/5*r + l.
3*r*(r + 3)/5
Let d(v) be the second derivative of 512/3*v**3 - 153*v - 32/3*v**4 + 0*v**2 + 1 + 1/5*v**5. Solve d(a) = 0.
0, 16
Let p(j) be the first derivative of 25/3*j**3 + 20*j - 3 - 5/4*j**4 - 20*j**2. Factor p(g).
-5*(g - 2)**2*(g - 1)
Suppose -169*h + 158*h = -165. Suppose -96*p - h = -99*p. Factor 2/9*n**4 + 2/9*n**p - 4/9*n - 10/9*n**2 + 0 - 2/3*n**3.
2*n*(n - 2)*(n + 1)**3/9
Suppose -8*a + 6*a = 12*a. Suppose a = -j + 4*l - 4, 4*j + 0*j - 12 = 2*l. Solve 2*y**2 + 1/3*y**3 - 8/3 - 1/3*y**j - 4/3*y = 0 for y.
-2, -1, 2
Suppose -2*m + 4*m + 4*c - 12 = 0, -5*m = -2*c - 6. Factor 8 - 36*p + 17*p**3 + 205*p**m - 193*p**2 + 7*p**3 - 8*p**3.
4*(p - 1)*(p + 2)*(4*p - 1)
Let j = 104112 - 728780/7. Factor 0 - 12/7*g - j*g**2.
-4*g*(g + 3)/7
Factor 0 - 194/17*g - 2/17*g**2.
-2*g*(g + 97)/17
Let x be ((-330)/40 + 50/40)/(20*-9). Let w(h) be the third derivative of x*h**5 + 0*h**3 + 5*h**2 - 1/36*h**4 - 1/120*h**6 + 0*h + 0. What is f in w(f) = 0?
0, 1/3, 2
Suppose 36/7*j**2 - 12/7*j**4 + 2*j**3 + 48/7 - 88/7*j + 2/7*j**5 = 0. What is j?
-2, 1, 2, 3
Let g(w) be the second derivative of 0*w**2 + 0*w**3 + 1/30*w**6 + 0*w**4 + 2 + 2/63*w**7 - 1/60*w**5 - 29*w. Factor g(p).
p**3*(p + 1)*(4*p - 1)/3
Let k = 1111 - 680. Let d = k - 427. Factor -4/15*h**3 + 0*h**2 + 4/15*h + 2/15*h**d - 2/15.
2*(h - 1)**3*(h + 1)/15
Let x be (-30174)/(-5778) + (4*-5)/4. Determine b, given that 3*b + x - 29/9*b**2 = 0.
-2/29, 1
Let p(c) be the third derivative of c**6/8 + 183*c**5/20 - 37*c**4/4 - 1268*c**2 + 6. Factor p(o).
3*o*(o + 37)*(5*o - 2)
Let w = -427 - -430. Let 31*r**2 - 18*r**2 - 24*r - 4*r**w - 15*r**2 - 18*r**2 = 0. What is r?
-3, -2, 0
Let n(t) be the first derivative of -4*t**3/3 + 36*t - 324. Determine c so that n(c) = 0.
-3, 3
Let d(t) = 18*t**4 - 30*t**3 + 58*t**2 + 110*t + 60. Let w(g) = 5*g**4 - 9*g**3 + 19*g**2 + 37*g + 20. Let r(x) = 8*d(x) - 28*w(x). Suppose r(k) = 0. What is k?
-5, -1, 4
Let w(z) be the first derivative of -z**6/120 - 11*z**5/20 + 23*z**4/8 - z**3/3 - 2*z**2 - 49. Let a(b