3 = 0. Calculate a.
-1, 0
Let d(v) = 2703*v**5 + 6792*v**4 + 5046*v**3 + 1008*v**2 + 60*v. Let q(w) = -w**5 + w**4 - w**3. Let m(b) = d(b) + 3*q(b). Let m(l) = 0. Calculate l.
-5/4, -1, -2/15, 0
Let s(a) be the first derivative of a**4/5 + 8*a**3/5 + 18*a**2/5 + 57. Suppose s(i) = 0. What is i?
-3, 0
Let c(b) be the third derivative of 0 + 0*b + 2/9*b**3 + 1/36*b**4 + 20*b**2 - 1/90*b**5. Factor c(v).
-2*(v - 2)*(v + 1)/3
Let a(c) = -47*c - 185. Let t be a(-4). Let n(r) be the second derivative of 7/18*r**4 - 6*r + 0 - 1/3*r**2 - 2/15*r**5 - 2/9*r**t. Factor n(q).
-2*(q - 1)**2*(4*q + 1)/3
Let j = 16 - 24. Let m = j - -14. Let 3*l + 3*l**4 - 1 + 0*l**4 + 3*l - 2 - m*l**3 = 0. What is l?
-1, 1
Let q be 18/2 - (-2 - -2)/4. Let d be 3*q/((-1485)/(-40)). Factor -14/11*g + d*g**2 - 4/11.
2*(g - 2)*(4*g + 1)/11
Let l(m) be the second derivative of m**4/60 + 4*m**3/5 - 26*m**2/5 - 140*m - 1. Let l(a) = 0. What is a?
-26, 2
Let y(z) = 19*z**2 + 3*z - 2. Let k be y(1). Find u such that 207*u - 9 + 8*u**5 - 195*u + 20*u**2 - 8*u**4 - k*u**3 + 1 - 4*u**4 = 0.
-1, 1/2, 1, 2
Let o = -15 + 19. Suppose 0 = 14*x + o - 32. What is u in -1/3*u**x + 0 + 0*u = 0?
0
Suppose 8*i = -27 - 5. Let d(b) = -4*b**2 + 2*b**2 - 7*b**4 + b**2 + 4 - 4*b**3. Let w(k) = 6*k**4 + 3*k**3 - 3. Let h(t) = i*w(t) - 3*d(t). Factor h(v).
-3*v**2*(v - 1)*(v + 1)
Let n be 2170/126 + -7 - 10. Factor n*h**4 + 4/9*h - 2/9*h**2 - 4/9*h**3 + 0.
2*h*(h - 2)*(h - 1)*(h + 1)/9
Let f(u) = u**2 - 171*u + 7581. Let g(v) = -v**2 + 172*v - 7577. Let r(k) = -2*f(k) - 3*g(k). Suppose r(x) = 0. Calculate x.
87
Let x(w) = -3*w + 21. Let d be x(9). Let l(k) = -k**2 - 6*k + 4. Let t be l(d). Suppose 4/5*o**t + 8/5*o + 6*o**3 + 0 - 2*o**5 - 32/5*o**2 = 0. Calculate o.
-2, 0, 2/5, 1
Let f = -17/55 - -9/22. Let c(b) be the first derivative of f*b**2 + 2/5*b - 2 - 1/15*b**3. Factor c(z).
-(z - 2)*(z + 1)/5
Let k(t) be the first derivative of -20/3*t**3 - 4*t**5 + 0*t + 5/2*t**2 - 5 + 5/6*t**6 + 15/2*t**4. Factor k(l).
5*l*(l - 1)**4
Let o(k) = k**2 + 31*k + 2. Let u be o(0). Factor 0 - 1/2*t**u + 0*t + 3/8*t**4 + 1/8*t**5 + 0*t**3.
t**2*(t - 1)*(t + 2)**2/8
Let l(n) = 32*n**2 - 113*n + 133. Let z(m) = -5*m**2 + 19*m - 22. Let k(b) = -6*l(b) - 39*z(b). Factor k(y).
3*(y - 20)*(y - 1)
Let j be 0*((-146)/(-16) + -9 - 0). Let j*a**4 - 3/5*a**5 - 6/5 + 6/5*a**2 - 9/5*a + 12/5*a**3 = 0. Calculate a.
-1, 1, 2
Let w(q) be the second derivative of -2*q**7/21 + 14*q**6/15 + 9*q**5/5 - 7*q**4/3 - 16*q**3/3 + 2*q - 34. Find o such that w(o) = 0.
-1, 0, 1, 8
Let z(b) be the third derivative of b**5/360 + 41*b**4/72 + 1681*b**3/36 + 14*b**2 + 9*b. Solve z(c) = 0.
-41
Let b(n) = 7*n**2 - 4*n - 2. Let q be ((-6)/(-2))/(3/6). Let i(p) = -20*p**2 + 12*p + 5. Let f(s) = q*i(s) + 17*b(s). Let f(k) = 0. Calculate k.
2
Let z(d) = d**3 - 27*d**2 + 26*d + 4. Let v be z(26). Suppose -v*u + 12 = -x - 0*x, -3*x - 3*u = -9. Factor -1/2*k - k**2 + k**4 + 1/2*k**5 + 0*k**3 + x.
k*(k - 1)*(k + 1)**3/2
Determine c, given that -7 - 19*c**3 + 57*c + 32*c**3 - 6*c**2 - 28*c**3 - 29 = 0.
-12/5, 1
Let -30 - 481/4*m - m**2 = 0. Calculate m.
-120, -1/4
Let u(s) = -5*s**2 + 58*s + 1030. Let z(l) = 4*l**2 - 59*l - 1029. Let v(q) = 5*u(q) + 6*z(q). Find a such that v(a) = 0.
-32
Factor 0 - 2/9*l**5 + 0*l + 2/9*l**4 + 0*l**2 + 4/9*l**3.
-2*l**3*(l - 2)*(l + 1)/9
Let x(v) be the second derivative of v**5/35 + 17*v**4/21 - 76*v**3/21 + 345*v. Factor x(g).
4*g*(g - 2)*(g + 19)/7
Let b(y) = 5*y**5 - 7*y**4 + 15*y**3 - 17*y**2 + 8*y + 4. Let a(t) = -6*t**5 + 7*t**4 - 15*t**3 + 18*t**2 - 9*t - 5. Let f(h) = 4*a(h) + 5*b(h). Factor f(g).
g*(g - 4)*(g - 1)**3
Let a(v) = -18*v**5 + 135*v**4 + 258*v**3 - 204*v**2 + 27*v. Let l(t) = -t**5 - t**4 - t**3 + t. Let f(c) = a(c) + 9*l(c). What is p in f(p) = 0?
-2, 0, 1/3, 6
Let y(o) = -3*o**3 + 315*o**2 - 1989*o + 2904. Let k(t) = -t**3 + 78*t**2 - 497*t + 726. Let q(r) = 9*k(r) - 2*y(r). Factor q(u).
-3*(u - 11)**2*(u - 2)
Let x(s) be the first derivative of s**3/7 + 69*s**2/14 + 66*s/7 - 26. Factor x(u).
3*(u + 1)*(u + 22)/7
Let w(f) be the second derivative of -f**6/240 + 3*f**5/32 - 37*f**4/48 + 11*f**3/4 - 9*f**2/2 + 157*f. Let w(k) = 0. Calculate k.
1, 2, 6
Suppose -2904/5 - 3/5*h**4 + 123/5*h**3 - 4092/5*h - 1062/5*h**2 = 0. Calculate h.
-2, -1, 22
Let l(g) be the first derivative of g**5/15 - 5*g**4/12 - 174. Factor l(f).
f**3*(f - 5)/3
Let v = -58 - -58. Determine q so that -477*q + 2*q**2 - 2 + 8*q**3 + v*q**2 + 469*q = 0.
-1, -1/4, 1
Let w(z) = 9*z**4 + 3*z**3 + z**2 - 31*z + 22. Let k(s) = 2*s**4 - s**3 - s + 1. Let j(r) = -4*k(r) + w(r). Determine l so that j(l) = 0.
-6, -3, 1
Factor 3/4*t**4 + 9/8*t**3 + 0*t + 3/8*t**2 + 0.
3*t**2*(t + 1)*(2*t + 1)/8
Factor -4/3*n - 38/3*n**3 - 14*n**2 + 0.
-2*n*(n + 1)*(19*n + 2)/3
Let a(b) = -b**2 - 10*b + 9. Let o be a(-8). Suppose y + 5*w = o, -2*y - w - 15 = -4*w. Solve -2/5*r**3 + 2/5*r + y + 0*r**2 = 0.
-1, 0, 1
Let p(h) = -h**2 - 8*h + 12. Let m be p(1). Determine x so that -2/11*x**4 - 4/11 - 2/11*x + 2/11*x**m + 6/11*x**2 = 0.
-1, 1, 2
Let z = -87 + 115. Find n, given that 54*n**3 - z*n**3 - 10*n**2 - 2*n**5 + 2*n**4 - 20*n**3 + 4*n = 0.
-2, 0, 1
Let r be 2*-1 + (-189)/(-90). Let l(b) be the second derivative of 0 - r*b**5 + 1/6*b**4 + 0*b**3 + 0*b**2 - 6*b. Determine y, given that l(y) = 0.
0, 1
Let a(u) be the third derivative of -u**8/112 - 17*u**7/70 - 9*u**6/4 - 5*u**5/2 + 875*u**4/8 + 1875*u**3/2 + 3*u**2 - 38. Factor a(h).
-3*(h - 3)*(h + 5)**4
Let c(m) be the first derivative of -3*m**4/4 + 3*m**2/2 + 56. Factor c(f).
-3*f*(f - 1)*(f + 1)
Let y(d) be the second derivative of -3*d**5/100 + 31*d**4/10 - 961*d**3/10 + 78*d. Factor y(b).
-3*b*(b - 31)**2/5
Let f = -114 + 119. Let o be (-18)/(-90) + (-1)/f. Factor -3/7*k**4 + 0*k - 1/7*k**5 + o*k**2 - 2/7*k**3 + 0.
-k**3*(k + 1)*(k + 2)/7
Let q(o) = -3*o**2 + 16*o - 47. Let g(j) = 19*j**2 - 97*j + 281. Let k(v) = 6*g(v) + 39*q(v). What is m in k(m) = 0?
7
Let g = 306 + -210. Solve 16 + 15*h**5 - 76*h**3 - 4*h**4 - g*h + 164*h**2 + 13*h**5 - 32*h**4 = 0 for h.
-2, 2/7, 1
Let b = -25390/9 + 2822. Determine k, given that b + 2/9*k**2 - 8/9*k = 0.
2
Let w = -14 - -24. Let z = w - 6. Suppose -4*y**2 - 14*y**5 + 7*y**z + 2*y**5 - 3*y**2 + 11*y**3 + y = 0. Calculate y.
-1, 0, 1/4, 1/3, 1
Let x be (4 - 7)*-1 + -1. Factor 3 + 2*d + 1 + 2*d**x - 4*d**2.
-2*(d - 2)*(d + 1)
Factor -191*y - 106*y - 2080 - 1187 + 99*y - 3*y**2.
-3*(y + 33)**2
Let z = -119 - -122. Let w(k) be the first derivative of -1/3*k - z - 1/3*k**2 - 1/9*k**3. Find x, given that w(x) = 0.
-1
Let i(j) = -j**3 + 7*j**2 + 8*j - 6. Let x be i(8). Let n be (x/(-9))/(((-16)/3)/(-4)). Let -1/4*k + n*k**2 - 1/4*k**3 + 0 = 0. What is k?
0, 1
Factor 17*i**3 + 195*i**2 + 35 + 145*i + 55*i**4 + 153*i**3 + 35*i**2 + 5*i**5.
5*(i + 1)**4*(i + 7)
Let w(h) be the first derivative of -2*h**3/27 + 7*h**2/9 - 68. Suppose w(r) = 0. What is r?
0, 7
Let a(n) = 2*n**2 + 4*n - 6. Let x be a(2). Let r(m) = m**3 - 9*m**2 - 11*m + 13. Let v be r(x). Let -2/3*g**v - 2/3 + 2/3*g**2 + 2/3*g = 0. What is g?
-1, 1
Let z be ((-483)/(-23) - -10) + -3. Find g, given that -z + 8*g - 4/7*g**2 = 0.
7
Let c be (-477)/636 + (-27)/(-20). Find b such that 9/5 + 6/5*b - c*b**2 = 0.
-1, 3
Suppose 97*b = 101*b - 188. Let m = 148/3 - b. Determine d so that 0 + 4/3*d + m*d**3 - 16/3*d**2 = 0.
0, 2/7, 2
Let d(q) be the third derivative of 1/180*q**6 + 0*q - 2*q**2 + 0 - 1/12*q**4 + 0*q**5 - 2/9*q**3. Factor d(g).
2*(g - 2)*(g + 1)**2/3
Let n(o) be the second derivative of 1/30*o**6 - o**2 + 0 + 1/20*o**5 + 5*o - 1/4*o**4 - 5/6*o**3. Find j such that n(j) = 0.
-1, 2
Let g(y) be the first derivative of y**4/21 + 4*y**3/3 + 14*y**2 + 14*y - 16. Let l(m) be the first derivative of g(m). Factor l(o).
4*(o + 7)**2/7
Determine x so that 0*x**4 + 22/5*x**3 - 1/5*x**5 - 9*x + 0 - 24/5*x**2 = 0.
-5, -1, 0, 3
Let u(i) = i**4 + 4*i**3 + 28*i**2 + 38*i + 4. Let j(x) = -5*x**4 - 16*x**3 - 112*x**2 - 155*x - 18. Let k(w) = -2*j(w) - 9*u(w). Factor k(a).
a*(a - 8)*(a + 2)**2
Let j be 345/207*(3 - 2)/1. Let u(k) be the first derivative of 0*k - 3 + 5*k**2 + j*k**3. Factor u(m).
5*m*(m + 2)
Let m be (87/(-90) - (-85)/102)*(-3)/2. Factor 3/5*i**2 + m + 3/5*i + 1/5*i**3.
(i + 1)**3/5
Let -55*x + 114*x**2 + 103*