 2/5*c**2 + 702/5 + 258/5*c = 0?
-9, -3, 13
Let j = 24440 + -24438. Let f(n) be the first derivative of 12 + 0*n**j - n**5 + 5/2*n**4 + 0*n - 5/3*n**3. Find i such that f(i) = 0.
0, 1
Suppose -10*y = -31*y + 42. Factor -12*d**2 + 4*d + 8 - d**3 - 6*d**2 + 30*d**y - 14*d**2.
-(d - 2)*(d + 2)**2
Let s = -36991 + 110974/3. Let q(o) = -o**3 + o**2 + 2*o + 4. Let d be q(0). What is p in s*p**d - 7/3*p**3 + 0 + 2*p**2 + 0*p = 0?
0, 1, 6
Suppose 8*h + 180 - 196 = 0. Let w(n) be the second derivative of -7*n - 1/10*n**5 + 5/3*n**3 + 0 - 1/6*n**4 - 3*n**h. Suppose w(q) = 0. What is q?
-3, 1
Let r(o) be the second derivative of -o**4/72 + 37*o**3/18 + 38*o**2/3 + 1452*o + 2. Factor r(s).
-(s - 76)*(s + 2)/6
Suppose -38*n = -44*n. Suppose n = 94*c - 89*c - 10. Factor -49*t**3 - 9/2 + 35/2*t**c + 12*t.
-(2*t + 1)*(7*t - 3)**2/2
Let i(m) be the third derivative of -m**7/735 + 19*m**6/210 + 43*m**5/42 + 2464*m**2. Find y such that i(y) = 0.
-5, 0, 43
Let l(n) = -8*n**3 + 4*n**2 - 157*n - 504. Let u(v) = 2*v**3 + 2*v**2 + 17*v. Let g(z) = 2*l(z) + 10*u(z). Factor g(d).
4*(d - 6)*(d + 6)*(d + 7)
Let v(g) = -38*g + 1753. Let n be v(46). Let i(s) be the second derivative of 1/180*s**n - 1/27*s**3 + 0 - 1/108*s**4 + 0*s**2 + s. Solve i(q) = 0.
-1, 0, 2
Suppose 1392/5 - 2/5*k**4 + 224/5*k**3 + 190*k**2 - 2564/5*k = 0. Calculate k.
-6, 1, 116
Let m(c) be the third derivative of -c**5/300 - 194*c**4/15 - 301088*c**3/15 + 7495*c**2. What is q in m(q) = 0?
-776
Let i be ((-44)/198)/((-3)/12 - -6*6/(-432)). Find r, given that 1/6*r**4 - 2 + r**3 + 3/2*r**2 - i*r = 0.
-3, -2, 1
Factor -272/7*x**2 - 2/7*x**3 - 9514/7*x - 17956/7.
-2*(x + 2)*(x + 67)**2/7
Let l(a) be the first derivative of a**3 + 51*a**2/2 + 90*a - 1251. Solve l(m) = 0.
-15, -2
Let t(m) be the first derivative of 160 - 44*m**2 + m**6 - 106/3*m**3 - 19/2*m**4 + 2*m**5 - 24*m. Suppose t(i) = 0. What is i?
-2, -1, -2/3, 3
Let j be ((1 - 1) + -2)*(-1)/1. Solve q**j + 12*q - 35 + 829 - 76*q + 230 = 0 for q.
32
Let j = 115742 - 115742. Let t = -3/103 - -233/927. Determine o, given that 4/9*o**2 + j + t*o + 2/9*o**3 = 0.
-1, 0
Let f be (-5 - 18/(-3))/(((-8547)/74)/(-77)). Factor f*i**2 + 4*i + 6.
2*(i + 3)**2/3
Factor 12*t + 2/7*t**3 + 46/7*t**2 - 720/7.
2*(t - 3)*(t + 6)*(t + 20)/7
Let i be -7 + -9 - 146*12/(-108). Factor 40/9*u + 14/3 - i*u**2.
-2*(u - 21)*(u + 1)/9
Let a(r) = 2*r**4 - 26*r**3 - 64*r**2 - 58*r - 18. Let l(d) = -10*d**4 + 105*d**3 + 258*d**2 + 233*d + 72. Let g(j) = -9*a(j) - 2*l(j). Factor g(q).
2*(q + 1)**3*(q + 9)
Let c = -722192/5 - -145474. Determine q so that -4418/5*q**4 - 392/5*q - 9212/5*q**3 - c*q**2 - 8/5 = 0.
-1, -2/47
Suppose -7092/5*a + 3/5*a**2 + 4191372/5 = 0. Calculate a.
1182
Let c = 2 - 0. Let m be (3 + 3)*-5*(-42)/28. Find a, given that 46*a**4 - a**2 - 2*a**3 - m*a**4 + c*a**2 = 0.
0, 1
Let n be (1/(-1) + 1)/(0 - 2). Suppose -2*g + 0 + 6 = 0. Let n + 0*j + 0*j**2 + 1/3*j**g = 0. Calculate j.
0
Let y = -163135 + 163137. Factor 27/2*q**y + 81/2 + 81/2*q + 3/2*q**3.
3*(q + 3)**3/2
Suppose 4*g + 0*g - 172 = 0. Suppose -120 + 365 = 4*h + 5*y, -3*y + 123 = 2*h. Let h*r**2 + 180*r - 20 - 149*r**2 - g*r**2 - 93*r**2 = 0. What is r?
2/15, 2/3
Let r(s) = s**3 + 27*s**2 + 113*s + 1579. Let c be r(-25). Factor 1/4*a**3 + 3 + 7/4*a**2 + c*a.
(a + 2)**2*(a + 3)/4
Let i(z) be the second derivative of -1 + 7/4*z**2 + 2/3*z**3 + 1/24*z**4 - 8*z. Determine h so that i(h) = 0.
-7, -1
Let a(v) be the third derivative of v**7/945 - v**6/180 - 2*v**5/45 + 13*v**4/27 - 16*v**3/9 + 122*v**2. Suppose a(k) = 0. What is k?
-4, 2, 3
Suppose 4*i - 30 = -i - 4*k, 4*k = 4*i + 12. Let c(l) = l**2 + 10*l + 18. Let t be c(-8). Solve 4*j**3 + t*j - j**3 + 5*j**3 - 8*j**i = 0 for j.
0, 1/2
Let k = -456 + 459. Let b(t) = 3*t**2 - 8*t + 1. Let s be b(k). Factor 4/3*r**s - 2/3 + 4/3*r**3 + 1/3*r**5 - 2/3*r**2 - 5/3*r.
(r - 1)*(r + 1)**3*(r + 2)/3
What is b in -8 - 1572*b + 6*b**3 + 1680*b - 2*b**5 - 54*b**4 + 8 + 166*b**2 = 0?
-27, -1, 0, 2
Let l(g) be the first derivative of 5*g**3/3 - 720*g**2 - 4365*g - 1531. Solve l(y) = 0 for y.
-3, 291
Let j(p) be the first derivative of 7*p**5/4 - 5*p**4 - 50*p**3 - 40*p**2 - 11*p - 20. Let q(n) be the first derivative of j(n). Factor q(x).
5*(x - 4)*(x + 2)*(7*x + 2)
Let p(l) be the third derivative of l**5/30 - 14*l**4/3 + 165*l**3 + 6172*l**2. Let p(v) = 0. What is v?
11, 45
Let x = -78 + 93. Factor 25*p - x*p + 44 + 30*p - 31*p**2 + 27*p**2.
-4*(p - 11)*(p + 1)
Let y(t) be the third derivative of t**7/840 - t**6/120 + t**5/40 + 25*t**4/12 - 9*t**2 - t. Let o(a) be the second derivative of y(a). Factor o(s).
3*(s - 1)**2
Let p = -184 + 3121/17. Let c = -18/85 - p. Factor 0 + 3/5*r**2 + 4/5*r**3 - c*r.
r*(r + 1)*(4*r - 1)/5
Suppose -9657 = -143*j + 134*j. Let k = j + -5363/5. Factor -k + 4/5*r - 2/5*r**2.
-2*(r - 1)**2/5
Suppose 5*m - 22 = -3*s, 1098*m - 12 = -4*s + 1100*m. Let z(c) be the second derivative of 0 + 8/3*c**3 + s*c**2 - 19*c + 1/2*c**4. Factor z(i).
2*(i + 2)*(3*i + 2)
Let a(p) be the second derivative of p - 5/3*p**3 - 2/3*p**4 - 2*p**2 - 70 - 1/10*p**5. Find z, given that a(z) = 0.
-2, -1
Suppose -3*y = 4*r - 40, 3*r - 2*y = -7 + 20. Suppose 20 = 2*j + 4*d, -r*j = -9*j + d - 5. Factor j*i**2 - 2/3*i**5 + 0*i + 0 - 4/3*i**4 - 2/3*i**3.
-2*i**3*(i + 1)**2/3
Let s(g) = -3*g**2 - 4 + 2*g**2 + 9*g**2 + 36*g + 23. Let c(m) = 2*m**2 + 9*m + 5. Let v(z) = 9*c(z) - 2*s(z). What is d in v(d) = 0?
-7/2, -1
Suppose -371 = 10*r - 121. Let f be r/(-11 + 6) - (-1 + 2). Solve 12/7*d**2 + 6/7*d**3 - 6/7*d - 9/7*d**f - 3/7 = 0.
-1, -1/3, 1
Let d(s) = -s**3 + 6*s**2 - 4*s. Suppose j = -3 + 23. Let v(r) = -r. Let n(q) = j*v(q) - 5*d(q). Factor n(m).
5*m**2*(m - 6)
Let g(c) be the first derivative of c**6/39 + 22*c**5/65 - 27*c**4/26 - 22*c**3/39 + 2*c**2 + 249. What is v in g(v) = 0?
-13, -1, 0, 1, 2
Let y(d) be the second derivative of -d**7/7560 - 2*d**6/135 - 32*d**5/45 + 5*d**4/2 + 77*d. Let i(u) be the third derivative of y(u). What is w in i(w) = 0?
-16
Let v be 2449/316 - (-7 - (-5 - 2)). Suppose -1/4*a**2 + 15/2*a + v = 0. Calculate a.
-1, 31
Let a(o) = -o**2 - 35*o + 6. Let v(d) be the second derivative of d**3/3 + d**2 - 71*d + 2. Let t(j) = a(j) - 3*v(j). Factor t(s).
-s*(s + 41)
Determine o, given that 1/6*o**4 + 16*o + 24 - 4/3*o**3 - 4/3*o**2 = 0.
-2, 6
Let t(a) be the first derivative of -4*a**5/55 + 191*a**4/22 - 2362*a**3/33 + 195*a**2 - 1602*a/11 + 697. Let t(y) = 0. Calculate y.
1/2, 3, 89
Factor -67*i**2 + 138*i**4 - 176*i**4 + 39*i**4 + 34*i + 32*i**3.
i*(i - 1)**2*(i + 34)
Let b(v) be the second derivative of 1/16*v**5 + 3*v + 3 + 5/4*v**4 + 25/4*v**2 + 35/8*v**3. Factor b(z).
5*(z + 1)**2*(z + 10)/4
Let h(q) be the first derivative of 0*q + 1/18*q**3 + 1/36*q**4 + 7*q**2 - 1/180*q**6 + 6 - 1/180*q**5. Let u(b) be the second derivative of h(b). Factor u(p).
-(p - 1)*(p + 1)*(2*p + 1)/3
Let i(z) be the second derivative of z**8/53760 + z**7/2016 + z**6/640 - 5*z**4/2 - z - 2. Let w(n) be the third derivative of i(n). Factor w(j).
j*(j + 1)*(j + 9)/8
Suppose 0 = -2*u + 6*u + 3*s + 3, 0 = -4*u + s + 17. Factor -u*n**4 + 13 - 13 + n**2 + 2*n**2.
-3*n**2*(n - 1)*(n + 1)
Let m(a) be the third derivative of -68*a**2 + 0 - 1/45*a**5 + 0*a**3 + 1/315*a**7 + 0*a + 0*a**4 - 1/180*a**6. Suppose m(o) = 0. Calculate o.
-1, 0, 2
Factor 0 + 3/2*f**4 + 0*f + 0*f**2 - 60*f**3.
3*f**3*(f - 40)/2
Let y(g) be the second derivative of 5*g**6/2 - 41*g**5/4 - 3065*g**4/6 + 1240*g**3/3 - 65*g + 13. Let y(a) = 0. Calculate a.
-8, 0, 2/5, 31/3
Factor 37/5*u**4 - 1/5*u**5 + 256*u**2 + 0 - 416/5*u**3 + 0*u.
-u**2*(u - 16)**2*(u - 5)/5
Let d(w) be the second derivative of w**5/100 - 3*w**4/8 + 7*w**3/5 + 35*w**2/2 + 213*w. Let f(p) be the first derivative of d(p). Factor f(x).
3*(x - 14)*(x - 1)/5
Let j(i) be the second derivative of 5*i**7/42 - 8*i**5 - 85*i**4/2 - 565*i**3/6 - 105*i**2 - 626*i. Find v such that j(v) = 0.
-3, -2, -1, 7
Suppose -d - d - l = -7, 0 = 3*d - 5*l + 9. Let 165*w**2 - 208*w**d - 195*w**2 - 70 - 142*w**2 + 465*w - 55*w**5 + 450*w**4 - 410*w**3 = 0. Calculate w.
-1, 2/11, 1, 7
Let w be 29/12 - 4/(96/42). Suppose 2 = -m + l + l, -2*l = -3*m + 2. Solve -1/3*o**3 + w*o + 0 - 1/3*o**m = 0.
-2, 0, 1
Let c(f) = 11*f - 112. Let d be c(12). Determine s, give