49/50*u**5 + 2/5*u - 7/4*u**4 - 1/10*u**3 + u**2. Factor f(i).
(i - 1)**2*(7*i + 2)**2/10
Let j be (-79)/(((-2)/16)/(1/2)). Factor 6 - 294*p + 18 + j*p - 2*p**2.
-2*(p - 12)*(p + 1)
Let p(l) be the second derivative of -l**8/3024 + l**7/945 - l**6/1080 - 40*l**2 - 202*l. Let o(k) be the first derivative of p(k). Let o(u) = 0. Calculate u.
0, 1
Factor -549 - 778*r - 264 - 79 + 4*r**2 - 114*r + 4*r.
4*(r - 223)*(r + 1)
Let w(k) be the second derivative of -k**4/16 + 1185*k**3/8 + 1779*k**2/4 - 35*k - 22. Solve w(v) = 0.
-1, 1186
Suppose 3*v - 174 = -5*h, -5*v + 0*h = 5*h - 290. Let f = v + -22. Factor -5*g**3 - 5*g - 4*g**4 - 27*g**2 - 2*g + 2 + f*g**2 + 5*g**4.
(g - 2)*(g - 1)**3
Let t(a) = -2*a - 1. Let l(b) = b**4 + 34*b**3 + 93*b**2 + 6*b - 119. Let c(s) = -2*l(s) - 10*t(s). Let c(w) = 0. Calculate w.
-31, -2, 1
What is l in 160*l**2 + 76*l**2 + 805*l + 158*l**2 + 1418*l + 50*l**2 + 15 = 0?
-5, -1/148
Let d be (4689006/(-2474332))/(6/(-8)). Let r = d + -2/4651. Determine i so that -88/19*i + r + 2/19*i**4 - 18/19*i**3 + 60/19*i**2 = 0.
2, 3
Let g(s) be the first derivative of -4 + s**3 + 3*s**2 + 3/28*s**4 + 24/7*s. Solve g(y) = 0.
-4, -2, -1
Let c = 913979/26 - 35153. Let f(j) be the first derivative of -25 + 12/13*j - c*j**4 + 7/13*j**2 + 0*j**3. Find r such that f(r) = 0.
-2, -1, 3
Solve -2*h**2 + 19031 - 1568*h - 93172 + 7266 - 68055 - 172398 = 0 for h.
-392
Let w be -1*5 + 2 + 74. Let d = w - 69. Factor 72*i**d + 5 - 76*i**2 - 20*i**4 - 5 - 24*i**3.
-4*i**2*(i + 1)*(5*i + 1)
Let c(i) = 9*i**3 - 13*i**2 - 46*i - 44. Let x(p) = -55*p**3 + 80*p**2 + 275*p + 265. Let o = 186 + -190. Let q(j) = o*x(j) - 25*c(j). Factor q(u).
-5*(u - 4)*(u + 1)*(u + 2)
Let c(p) be the second derivative of -p**6/105 - 52*p**5/35 - 1352*p**4/21 - 3486*p. Factor c(l).
-2*l**2*(l + 52)**2/7
Let i(r) be the third derivative of r**5/36 + 835*r**4/36 + 139445*r**3/18 + r**2 - 541*r. Determine j, given that i(j) = 0.
-167
Let k(t) = -2*t**2 - 122*t + 660. Let l be k(-66). Let h(j) be the first derivative of j**4 + 8/3*j**3 + l*j + 23 + 2*j**2. Factor h(m).
4*m*(m + 1)**2
Let z(a) be the third derivative of -a**6/40 - 43*a**5/80 + 179*a**4/32 - 21*a**3/4 - 452*a**2. Suppose z(h) = 0. Calculate h.
-14, 1/4, 3
Let y = 974 + 69. Suppose 7*r = -119 + y. Factor -7*p**4 - r*p**5 - 3*p**3 + p**3 + 136*p**5.
p**3*(p - 2)*(4*p + 1)
Let v(y) be the first derivative of 82/39*y**3 - 43/13*y**2 + 20/13*y - 6/65*y**5 - 52 - 5/26*y**4. Suppose v(r) = 0. What is r?
-5, 1/3, 1, 2
Suppose 228*s + 28*s - 22*s = -20*s + 3048. Solve 153/2*f**3 + 126*f - s + 483*f**2 - 471*f**4 - 405/2*f**5 = 0 for f.
-2, -1, -2/5, 2/27, 1
Let h = 310 - 309. Find n such that 50*n**4 - 314*n - h + 125*n**2 - 135*n**3 + 6 + 269*n = 0.
1/5, 1/2, 1
Suppose 0 = 37*l + 20 + 54. Let s be l/(420/(-85)) - (-8)/48. Factor 0*b**4 + 0 - s*b**3 + 2/7*b + 2/7*b**5 + 0*b**2.
2*b*(b - 1)**2*(b + 1)**2/7
Suppose -4*c = 3*i - 2, -20*c + 17*c = i + 1. Let q(z) be the first derivative of 4*z + 6 - 28*z**i + 196/3*z**3. Determine u, given that q(u) = 0.
1/7
Solve -1/9*i**2 - 5/9*i + 5/9*i**3 + 0 + 1/9*i**4 = 0.
-5, -1, 0, 1
Let a(d) = -d**3 - 2*d**2 - 2*d + 2. Let o be a(0). Let q(l) = l**2 - 6*l + 8. Let w be q(5). Solve -2*r - 4*r**2 + o*r**2 - r**w + r = 0.
-1, 0
Factor -767*a + 694 + 1397*a + 594 + 2*a**2 - 36.
2*(a + 2)*(a + 313)
Let o(c) = -11500*c**3 - 162944*c**2 - 20888*c - 672. Let t(h) = -7668*h**3 - 108629*h**2 - 13925*h - 448. Let p(d) = 5*o(d) - 8*t(d). Let p(w) = 0. What is w?
-14, -2/31
Let z(g) be the second derivative of 0*g**2 + 0*g**3 + 4/115*g**5 + 16/345*g**6 + 12 + g + 1/138*g**4. Factor z(k).
2*k**2*(4*k + 1)**2/23
Let y = 17757 - 159812/9. Let p(a) be the first derivative of 0*a**3 + 2/9*a**2 - y*a**4 + 0*a - 23. Factor p(d).
-4*d*(d - 1)*(d + 1)/9
Let o = -153944 + 153946. Suppose 75/7*j**3 - 48/7*j - 15/7*j**o - 12/7 = 0. Calculate j.
-2/5, 1
Let i(y) be the third derivative of -2/21*y**7 + 7*y + 0 + 4*y**2 - 4/15*y**6 + 0*y**4 - 4/15*y**5 - 1/84*y**8 + 0*y**3. Factor i(h).
-4*h**2*(h + 1)*(h + 2)**2
Let o(c) = 53 + 7 + 15*c + 0*c - c. Let z be o(-4). Suppose -12/11 - 180/11*n**2 + 78/11*n - 48/11*n**z + 168/11*n**3 = 0. Calculate n.
1/2, 2
Let -82/5*g + 12*g**2 + 24/5*g**4 + 16*g**3 - 84/5 + 2/5*g**5 = 0. What is g?
-7, -3, -2, -1, 1
Factor 240*w**4 - 461*w**4 - 15*w**3 + 206*w**4 + 5*w**5 - 30*w + 55*w**2.
5*w*(w - 3)*(w - 1)**2*(w + 2)
Let y(g) be the first derivative of 7/5*g**3 - 1/20*g**4 + 11/5*g**2 + 0*g + 30. Factor y(f).
-f*(f - 22)*(f + 1)/5
Let p(l) be the first derivative of -1/2*l**3 - 146 + 0*l**2 + 0*l. Suppose p(m) = 0. What is m?
0
Let a(i) be the second derivative of 40*i - 11/150*i**6 + 0 + 43/100*i**5 - 73/60*i**4 + 28/15*i**3 + 1/210*i**7 - 8/5*i**2. Factor a(q).
(q - 4)**2*(q - 1)**3/5
Let v = 4 + 0. Factor 6 + 14*l + 11*l**2 + v*l**2 + 683*l**3 - 5*l**2 - 681*l**3.
2*(l + 1)**2*(l + 3)
Let -3*y**3 - 92/3 - 1/6*y**4 - 9*y + 113/6*y**2 = 0. What is y?
-23, -1, 2, 4
Let z(t) = 13*t + 2. Let q be z(-4). Let j = q - -64. Determine m, given that -15*m**2 - 21*m**4 - 51*m**2 - 53*m + j*m - 9 - 3*m**5 - 54*m**3 = 0.
-3, -1
What is i in 33*i**2 + 667*i**2 + 15*i**3 - 1897*i - 1356 + 7602*i - 624 = 0?
-36, -11, 1/3
Let o(q) = -2*q - 57. Let a be o(-30). Factor -b**4 + 2*b**5 + b**2 + 2*b**3 - 2*b + b**a - 9*b**5 + 6*b**5.
-b*(b - 1)**2*(b + 1)*(b + 2)
Let j(m) = -42*m + 4 - m**3 + 20*m + 10*m + 12*m**2. Let a be j(4). Solve 12*b**2 + 45*b**3 - a*b**3 + 19*b**3 = 0 for b.
0, 3/5
Let p(x) be the first derivative of 4*x**5/5 + 6*x**4 - 100*x**3/3 + 36*x**2 - 123. Let p(u) = 0. What is u?
-9, 0, 1, 2
Suppose -5*w - 5*w = -30. Let s = w - 0. Determine i, given that 6*i**4 - s*i**3 + 7*i**3 - 2*i**2 - 4*i - 4*i**4 = 0.
-2, -1, 0, 1
Let a be (0 + 0)*(-5)/3*(-3192)/5320. Find f such that 1/4*f**2 + 0*f + 0 + a*f**3 - 1/4*f**4 = 0.
-1, 0, 1
Suppose 2*z - 47 = -x - 44, -x = -2*z + 5. Factor 6*l**3 + 108*l - 39*l**z - 108 - 1/3*l**4.
-(l - 6)**2*(l - 3)**2/3
Factor 2/9*b**4 - 129376/3*b - 416/3*b**3 + 195932/9*b**2 + 193442/9.
2*(b - 311)**2*(b - 1)**2/9
Let p(l) = -29*l - 12. Let j(q) = -2*q**2 + q + 5. Let b be j(-2). Let v be p(b). Factor z**4 + v*z**3 - z**5 - z**2 + 0*z - 2*z - 130*z**3.
-z*(z - 2)*(z - 1)*(z + 1)**2
Let q(m) be the third derivative of 29/4*m**4 + 3 + 0*m - 20*m**3 + 3/20*m**5 - m**2. Factor q(b).
3*(b + 20)*(3*b - 2)
Let n = 865 - 863. Factor 2*j**5 + 0*j**3 + 7*j**5 + 8*j**2 + 6*j**3 - 23*j**4 + 0*j**n.
j**2*(j - 2)*(j - 1)*(9*j + 4)
Let z(y) = 7*y**2 + 108*y + 105. Let o be z(-1). Let w(n) be the second derivative of 3/40*n**5 + 1/8*n**4 + 0 + 0*n**2 - o*n - 1/2*n**3. Factor w(q).
3*q*(q - 1)*(q + 2)/2
Factor -45/2*d**2 - 9/4*d**3 + 0 - 14*d.
-d*(3*d + 2)*(3*d + 28)/4
Let s(p) = 101*p**3 + 15*p**2 - 223*p + 207. Let u be s(1). Factor -54/7 - 324/7*f - 720/7*f**2 - u*f**3 - 250/7*f**4.
-2*(f + 1)*(5*f + 3)**3/7
Suppose 7 - 10 = -2*s + 3*a, 3*a + 3 = -s. Suppose -7*y = 7*y - s*y. Factor 0 + 0*c + 0*c**3 + 1/4*c**4 + y*c**2.
c**4/4
Find p such that -743*p + 198*p + p**2 + 1320*p + 1731*p + 2096990 - 526981 = 0.
-1253
Let a = -1224243/4 + 306061. Let -11/4*c - a*c**2 - 6 = 0. What is c?
-8, -3
Factor 630*m**2 - 2*m**3 + 30 - 27*m - 693*m**2 - 4*m**3.
-3*(m + 1)*(m + 10)*(2*m - 1)
Find g such that 4/19*g**3 + 6/19*g + 18/19*g**4 - 20/19*g**2 + 2/19 - 10/19*g**5 = 0.
-1, -1/5, 1
Let s(r) be the first derivative of 917764*r**3/3 + 22992*r**2 + 576*r + 972. Find p such that s(p) = 0.
-12/479
Determine v so that -1/6*v**4 - 19/3*v**3 - 35/2*v**2 + 0 + 0*v = 0.
-35, -3, 0
Suppose -17*y + 2*f = -22*y - 2, 4*y + 28 = 5*f. Let d be 690/207 - (-6)/y. Factor 0*x + 0*x**4 + 0*x**2 + d*x**5 + 0 - 1/3*x**3.
x**3*(x - 1)*(x + 1)/3
Let k(b) = -b**2 - 42*b - 390. Let h be k(-28). Let v be ((-24)/112)/(0 + h)*-8. Factor 20/7 - 8/7*d**2 - v*d.
-2*(d + 2)*(4*d - 5)/7
Let s(n) be the first derivative of -n**2 - 42 + 0*n + 0*n**3 - 1/3*n**6 + n**4 + 0*n**5. Find a such that s(a) = 0.
-1, 0, 1
Solve -28*j**3 + 5*j**3 - 1690 - 2310 - 720*j**2 - 2*j**4 - 3200*j - 41*j**3 = 0 for j.
-10, -2
Let w(r) = 8*r**3 - 23*r**2 + 1275*r + 20760. Let s(n) = 10*n**3 - 22*n**2 + 1274*n + 20752. Let o(c) = -5*s(c) + 6*w(c). Find z, given that o(z) = 0.
-20, 26
Let c(f) be the second derivative of 11*f**5/240 - 