ative of r**4/12 + 3*r**3/2 - 4*r**2 - r. Let m be t(-10). Suppose 0*p + 1/2*p**m - 1/2 = 0. What is p?
-1, 1
Let y(n) be the first derivative of n**6/4 - 231*n**5/10 + 2163*n**4/4 + 799*n**3 - 4329*n**2/4 - 4563*n/2 - 54. Let y(l) = 0. What is l?
-1, 1, 39
Suppose 90 = -25*b + 22*b. Let t = b + 181/6. Find y such that t*y + 0 + 1/6*y**2 = 0.
-1, 0
Let r be (-185 - -2) + (-10 - -8). Let m be 2*2/(-5)*r/74. Factor 4/5*h**4 + 2/5 - 14/5*h**3 + 18/5*h**m - 2*h.
2*(h - 1)**3*(2*h - 1)/5
What is n in -29/5*n**3 + 0 + 11/5*n**5 - 6/5*n**2 + 0*n + 24/5*n**4 = 0?
-3, -2/11, 0, 1
Let u(a) = a. Let l be u(9). Let q be 3/(-15)*(-15)/l. Find o such that -1/3*o**4 + 0 + 0*o - q*o**5 + 0*o**2 + 0*o**3 = 0.
-1, 0
Let x = -85 + 95. Determine l so that -3*l**3 - l**3 - 4*l**2 + x*l**2 + 2*l**3 - 4*l = 0.
0, 1, 2
Let s(u) be the second derivative of 6*u - 1/8*u**3 + 1/48*u**4 + 0 - 1/120*u**6 + 0*u**2 + 3/80*u**5. Find c such that s(c) = 0.
-1, 0, 1, 3
Let -26244*a - 944784 - 3/4*a**3 - 243*a**2 = 0. Calculate a.
-108
Let k(m) be the third derivative of m**8/120960 + m**7/7560 + m**5/5 + 2*m**2. Let z(t) be the third derivative of k(t). Determine a so that z(a) = 0.
-4, 0
Suppose -4*k = -54 + 814. Let s be (-2)/(-7) - k/70. Factor -5*f**3 + f**2 - f + s*f**3 + f**3 - f**4 + 2*f.
-f*(f - 1)*(f + 1)**2
Let x(d) = -d + 1. Let m be 10/(-6) + (-4)/(-6). Let o be x(m). Factor 12 + 1 + o*v**3 + 0*v**3 - 5 - 6*v**2.
2*(v - 2)**2*(v + 1)
Let b(t) be the first derivative of -t**6/6 - 3*t**5/5 + t**4 - 34. Suppose b(i) = 0. What is i?
-4, 0, 1
Let s(c) be the second derivative of c**5/16 - 35*c**3/24 - 15*c**2/4 - 16*c + 6. Factor s(b).
5*(b - 3)*(b + 1)*(b + 2)/4
Let a be 26/(-39)*(-9)/960. Let n(o) be the third derivative of a*o**6 - 13*o**2 + 0*o**3 + 0 + 0*o**4 - 1/80*o**5 + 0*o. Find l such that n(l) = 0.
0, 1
Solve -12/7*v - 2/7*v**2 - 18/7 = 0.
-3
Let v(x) = 5*x**3 - 2*x**2 - 3*x - 4. Let j(u) = -u**3 + u + 1. Let h(i) = 20*j(i) + 5*v(i). Suppose h(k) = 0. What is k?
0, 1
Suppose 5*h = -2*o + 15, -3 = -2*h + 4*o + 3. Let c(t) be the third derivative of 0*t**3 + 0 + h*t**2 + 1/4*t**4 + 0*t - 1/15*t**5 - 1/60*t**6. Factor c(r).
-2*r*(r - 1)*(r + 3)
Let p(b) be the second derivative of -b**5/230 + b**4/138 + 8*b**3/69 - 12*b**2/23 - 12*b + 5. Find g such that p(g) = 0.
-3, 2
Let t(p) be the third derivative of 1/240*p**5 + 1/48*p**4 + 0*p - 1/8*p**3 + 16*p**2 + 0. Factor t(d).
(d - 1)*(d + 3)/4
Let n = 933 + -933. Let o(a) be the third derivative of 7/780*a**6 - 4*a**2 - 4/39*a**4 - 1/78*a**5 + 0*a + n - 4/39*a**3. What is v in o(v) = 0?
-1, -2/7, 2
Let u be -13 - -30 - (-2 + 13). Let 0 + 8/3*c - u*c**2 - 2/3*c**4 + 4*c**3 = 0. Calculate c.
0, 1, 4
Let t(g) be the third derivative of g**5/105 + g**4/7 - 2*g**3/3 - 53*g**2. Determine b, given that t(b) = 0.
-7, 1
Let j(v) = 2*v**3 + 2*v**2 - 3*v + 2. Let z be j(1). Solve z + 4*i - 3 - 8*i**2 + 4*i**2 = 0 for i.
0, 1
Let s(x) be the second derivative of x**6/6 - 21*x**5/2 + 50*x**4 - 295*x**3/3 + 195*x**2/2 - 266*x + 1. Determine q so that s(q) = 0.
1, 39
Let g = -930 + 935. Let z(a) be the third derivative of 0*a**3 + 0 + a**2 - 1/420*a**6 - 2/105*a**g + 0*a - 1/21*a**4. Solve z(n) = 0 for n.
-2, 0
Let v be ((-7)/(910/(-15)))/((-94)/24 - -4). Determine z, given that -66/13*z - 60/13*z**3 + 18/13*z**4 - 2/13*z**5 + 92/13*z**2 + v = 0.
1, 3
Let b(r) = r**2 + 117*r + 668. Let k be b(-111). Factor 1/10*z**k - 1/2*z + 0.
z*(z - 5)/10
Let s be (-1)/(-5) + 195/25. Find g, given that 0*g**4 - 8*g**3 + 2*g**4 + 0*g**4 + 8*g - s + 0*g**2 + 6*g**2 = 0.
-1, 1, 2
Let d(z) be the second derivative of -z**5/60 - z**4/12 - z**3/6 - 6*z**2 - z. Let s(p) be the first derivative of d(p). Factor s(l).
-(l + 1)**2
Let k(t) = 9*t**2 - 5*t**4 - 9*t**3 - 5*t + 32*t**3 - 10*t**3 - 10*t**3. Let m(o) = -o**4 + o**2 - o. Let r(i) = -5*k(i) + 30*m(i). Factor r(j).
-5*j*(j + 1)**3
Let t = -8984/5 + 1797. Factor -2/5 - 3/5*q - t*q**2.
-(q + 1)*(q + 2)/5
Let o(i) be the first derivative of i**6/39 - 6*i**5/65 + 8*i**3/39 - 78. Suppose o(h) = 0. What is h?
-1, 0, 2
Factor -84 - 30*w - 10*w - 2*w**2 - w**2 - w**2.
-4*(w + 3)*(w + 7)
Let q = -12 + 9. Let u = 4 + q. Suppose h**2 - h + h - 4*h + 5 - u = 0. What is h?
2
Let d(h) = 2*h**3 - 24*h**2 - 249*h - 729. Let r(b) = 3*b**3 - 49*b**2 - 496*b - 1458. Let q(c) = 5*d(c) - 3*r(c). Find i, given that q(i) = 0.
-9
Let o(i) be the second derivative of i**6/75 - i**5/5 - 23*i**4/30 - 4*i**3/5 - 16*i + 7. Suppose o(d) = 0. What is d?
-1, 0, 12
Find o such that -45 + 177/4*o + 3/4*o**2 = 0.
-60, 1
Let x(z) be the second derivative of -z**6/6 - 47*z**5/4 + 125*z**4/2 - 10*z**3/3 - 500*z**2 + 225*z. Factor x(t).
-5*(t - 2)**2*(t + 1)*(t + 50)
Let f(v) = -7*v**5 - v**4 - 6*v**3 - 2*v**2 - 5. Suppose 0 = -8*j + 6*j - 10. Let m(n) = -4*n**5 - 3*n**3 - n**2 - 3. Let g(s) = j*m(s) + 3*f(s). Factor g(h).
-h**2*(h + 1)**3
Let v be (-140)/1050*(-5)/36. Let k(m) be the second derivative of 1/27*m**3 + 2/9*m**2 + 7*m - v*m**4 + 0. Find i such that k(i) = 0.
-1, 2
Let d = 7 - 2. Factor -d*y + 7*y**2 + 2*y + 2*y - 8*y**2.
-y*(y + 1)
Let h(n) be the first derivative of n**6/90 + n**5/15 + n**4/6 + 2*n**3/9 - 12*n**2 + 12. Let m(c) be the second derivative of h(c). Factor m(q).
4*(q + 1)**3/3
Factor 38/5*k - 2/5*k**2 - 96/5.
-2*(k - 16)*(k - 3)/5
Let g(p) be the first derivative of 5*p**6/6 + 3*p**5 - 5*p**4/4 - 5*p**3 + 80. Let g(x) = 0. Calculate x.
-3, -1, 0, 1
Find o, given that -4725*o**4 - 77034713*o**2 - 46357508991*o - 74910110*o**2 - 1786050*o**3 + 14457762966*o - 185618627*o**2 - 5*o**5 - 1205810399745 = 0.
-189
Let r(q) = -q**2 - 29*q - 76. Let y be r(-26). Let p(a) be the first derivative of -3 + a**y - 5/4*a**4 + 1/2*a**6 + 1/3*a**3 + 0*a - 1/5*a**5. Factor p(f).
f*(f - 1)**2*(f + 1)*(3*f + 2)
Let o(t) be the third derivative of t**8/84 - 8*t**7/105 - t**6/5 + 4*t**5/15 + 5*t**4/6 - 35*t**2 - 2. Solve o(h) = 0.
-1, 0, 1, 5
Find s such that 7/3 + 5/6*s - 1/6*s**2 = 0.
-2, 7
Suppose 6*s = -3*s. Suppose i - 9*i = s. Find k such that -4/3*k**3 + 4*k + i*k**2 + 8/3 = 0.
-1, 2
Let m(i) be the second derivative of -i**4/4 - 28*i**3 - 162*i**2 + i + 38. Find q, given that m(q) = 0.
-54, -2
Let t(c) = -3*c**3 - 24*c**2 + 188*c + 14. Let g(v) = v**3 + v + 1. Let n(y) = -4*g(y) - t(y). Let a(x) be the first derivative of n(x). Factor a(b).
-3*(b - 8)**2
Let u(f) be the second derivative of -3*f**6/50 - 13*f**5/25 - 8*f**4/5 - 8*f**3/5 + 8*f**2/5 + 65*f. Solve u(m) = 0.
-2, 2/9
Let t(v) be the second derivative of v**4/30 - 2*v**3/15 - 3*v**2/5 + 2*v - 19. Suppose t(w) = 0. What is w?
-1, 3
Let t(z) = -z**2 - 54*z - 582. Let m(g) = -2*g**2 - 107*g - 1163. Let k(n) = 6*m(n) - 11*t(n). What is v in k(v) = 0?
-24
Find b such that 0 + 37/7*b**2 + 3/7*b**4 - 23/7*b**3 + 15/7*b = 0.
-1/3, 0, 3, 5
Let d(s) = 22*s - 20. Let z be d(1). Let -2/13*n**3 + 8/13*n + 0*n**z + 0 = 0. What is n?
-2, 0, 2
Let i(j) be the first derivative of j**3/3 - 47*j**2/2 + 46*j - 132. Determine o, given that i(o) = 0.
1, 46
Determine t, given that 27/2 + 1/2*t**4 + 41/8*t**3 - 27*t + 63/8*t**2 = 0.
-6, 3/4, 1
Determine l, given that 56*l**3 + 686 + 77*l**3 + 2400*l + 27*l**3 + 439 + 5*l**4 + 1430*l**2 = 0.
-15, -1
Let n(l) be the second derivative of -l**5/10 - 31*l**4 - 3844*l**3 - 238328*l**2 + 3*l + 58. Solve n(f) = 0.
-62
Let x(j) = -20*j**2 - 252*j - 720. Let p(a) = -a**2 + 5*a**2 - 288 - 12*a**2 - 101*a. Let v(u) = -12*p(u) + 5*x(u). Factor v(t).
-4*(t + 6)**2
Let h(c) = 41*c**3 - 145*c**2 + 151*c - 32. Let d(v) = 10*v**3 - 36*v**2 + 38*v - 8. Suppose 2*b + 9 = b. Let o(u) = b*d(u) + 2*h(u). Let o(y) = 0. Calculate y.
1/4, 2
Let w(m) be the first derivative of 2*m**5/35 - 5*m**4/14 + 2*m**3/3 - 3*m**2/7 + 308. Factor w(i).
2*i*(i - 3)*(i - 1)**2/7
Let h(a) be the first derivative of -5/3*a**3 - 24 - 10*a + 15/2*a**2. Factor h(z).
-5*(z - 2)*(z - 1)
Let r = 707 - 703. Let k(m) be the first derivative of 6/7*m - 3/14*m**2 - 3 + 3/28*m**r - 2/7*m**3. Factor k(a).
3*(a - 2)*(a - 1)*(a + 1)/7
Let b be (-6)/10 + 324/90. Let x(n) be the second derivative of -1/21*n**b + 1/21*n**4 - 2/7*n**2 + 0 - 5*n + 1/70*n**5. Let x(v) = 0. What is v?
-2, -1, 1
Let g be 108/56*(-4)/(-3). Let n(q) be the first derivative of g*q - 2 + 8/21*q**3 + 12/7*q**2. Determin