r.
-(r - 2)*(r - 1)/3
Let b(n) be the second derivative of 0 + 1/231*n**7 + 0*n**2 + 13*n + 0*n**3 + 0*n**5 + 1/165*n**6 + 0*n**4. Factor b(i).
2*i**4*(i + 1)/11
Let u be 6/2 - (-1 - 0). Suppose 4*b = 6*b - u. Determine m so that 25*m**3 - 23*m**3 - 2 - 6*m**b + 6*m + 0*m = 0.
1
Factor -28 - 20*g**2 - 2*g**3 + 0*g**3 + 1101*g - 1147*g.
-2*(g + 1)*(g + 2)*(g + 7)
Suppose 0 = -i - 4*q - 2, -261*q + 10 = 3*i - 265*q. Find y such that 36/5*y**i + 6/5 - 27/5*y - 3*y**3 = 0.
2/5, 1
Let h(l) be the second derivative of 1/10*l**5 - 1/6*l**3 + 1/3*l**4 + 0 - 1/42*l**7 - l**2 + 4*l - 1/15*l**6. Factor h(f).
-(f - 1)**2*(f + 1)**2*(f + 2)
Let i = 1005 - 1000. Let p(f) be the first derivative of -5 + 2/5*f**i + 1/2*f**4 - 2*f**3 - f**2 + 4*f. Factor p(n).
2*(n - 1)**2*(n + 1)*(n + 2)
Let q be (-3)/9*(4 - -14). Let l be 0 + 0*(-2 - 1)/q. Factor -3/7*x + 0*x**2 + l + 3/7*x**3.
3*x*(x - 1)*(x + 1)/7
Let n = -55 + 59. Let k(p) be the third derivative of 0*p**n + 0 - 4*p**2 - 1/300*p**5 + 0*p**3 + 0*p + 1/600*p**6. Determine f so that k(f) = 0.
0, 1
Let o(b) be the first derivative of 1/2*b**3 + 9/4*b**2 + 4 + 0*b. Factor o(c).
3*c*(c + 3)/2
Suppose -29*c - 15 = -34*c. Let l be c + 78/(-24) + 18/8. Factor 0*u**3 + 0*u - 3/2*u**5 - 9/4*u**4 + 0 + 3/4*u**l.
-3*u**2*(u + 1)**2*(2*u - 1)/4
Let i(j) = 3*j**2 - 122*j + 1144. Let y be i(26). Factor -80*u**2 - 184/3*u**3 - 16*u**4 + y - 4/3*u**5 - 100/3*u.
-4*u*(u + 1)**2*(u + 5)**2/3
Let j be (-3)/2 + 253/(-46). Let h = j - -7. Determine u so that -2/3*u + 4/3*u**2 - 2/3*u**3 + h = 0.
0, 1
Let l = 71/12 - 67/12. Suppose l*s**3 - 1/6*s**5 - 1/6*s + 1/3*s**2 - 1/6*s**4 - 1/6 = 0. What is s?
-1, 1
Let r be (-18)/(-4)*(-6)/(-9). Let y(q) be the first derivative of 5/21*q**r + 3/7*q - 1/2*q**2 - 4 - 1/28*q**4. Suppose y(v) = 0. Calculate v.
1, 3
Let y(v) be the second derivative of -3*v**5/20 - 57*v**4/4 - 783*v**3/2 + 2523*v**2/2 + 2*v + 10. Factor y(w).
-3*(w - 1)*(w + 29)**2
Let u be ((-7774)/19435)/(3/(-5) + 4/10). Suppose 0 - u*l - 1/2*l**2 = 0. Calculate l.
-4, 0
Let w(m) = 16*m**2 + 48*m + 32. Let s(r) = 15*r**2 + 47*r + 34. Let d(k) = -4*s(k) + 5*w(k). Solve d(a) = 0 for a.
-2, -3/5
Factor 15/7 + 2/7*m - 1/7*m**2.
-(m - 5)*(m + 3)/7
Suppose 6/7*s**4 - 3*s**5 + 0*s - 6/7*s**2 + 0 + 3*s**3 = 0. Calculate s.
-1, 0, 2/7, 1
Suppose -1/7*w**5 + 0 + 0*w + 1/7*w**3 + 8/7*w**4 - 8/7*w**2 = 0. Calculate w.
-1, 0, 1, 8
Factor 30*r - 450 - 1/2*r**2.
-(r - 30)**2/2
Let o(d) be the first derivative of d**7/84 - d**6/72 - d**5/24 - 8*d**3/3 + 20. Let f(r) be the third derivative of o(r). Factor f(g).
5*g*(g - 1)*(2*g + 1)
Suppose 29*i + 297*i - 20*i**4 - 225*i**3 + 180 - 528*i**2 + 274*i - 7*i**2 = 0. What is i?
-6, -1/4, 1
Let r be 2/(-5) - (12/20 - 1). Let z(a) be the second derivative of -1/16*a**4 - 3/80*a**5 - 9*a + 0*a**3 + r + 0*a**2. Factor z(n).
-3*n**2*(n + 1)/4
Let n = -359 + 361. Let r(u) be the first derivative of -24/25*u**5 - 6 - 3/10*u**4 + 0*u + 0*u**n - 7/15*u**6 + 4/15*u**3. Factor r(t).
-2*t**2*(t + 1)**2*(7*t - 2)/5
Factor -3/5*n**2 - 27/5 - 6*n.
-3*(n + 1)*(n + 9)/5
Let i(o) = -20*o**4 - 89*o**3 - 84*o**2 - 15*o - 12. Let y(d) = 120*d**4 + 535*d**3 + 505*d**2 + 90*d + 75. Let f(z) = 25*i(z) + 4*y(z). Solve f(w) = 0.
-3, -1, -1/4, 0
Let l(u) = -2 - 18*u - 9*u**2 - 9 + 12. Let v(n) = 5*n**2 + 9*n. Let o(f) = 2*l(f) + 5*v(f). Solve o(r) = 0 for r.
-1, -2/7
Let p = 595 - 593. Let q(t) be the first derivative of -4 + 32/7*t + 8/7*t**p + 2/21*t**3. Find l such that q(l) = 0.
-4
Let s(t) be the third derivative of 0*t**3 - 1/5*t**4 + 0*t + 7*t**2 + 0 - 1/100*t**5. Suppose s(u) = 0. Calculate u.
-8, 0
Determine p so that -20926 - 3*p + 20926 + 27*p**2 - 45*p**3 + 21*p**4 = 0.
0, 1/7, 1
Factor 3/2 + 51/2*j**2 + 11*j + 18*j**3.
(3*j + 1)**2*(4*j + 3)/2
Let a(m) = -m**2 - m - 2. Let d(c) = c**3 - 8*c**2 - 9*c + 6. Let h(j) = -3*a(j) - d(j). Suppose h(b) = 0. Calculate b.
-1, 0, 12
Let d be 28/(-6)*(36/(-1) + -6). What is v in 1 - 3*v**4 + d*v**2 - 6*v**3 + 3*v + 3*v**5 - 4 - 190*v**2 = 0?
-1, 1
Factor -31*b - 9 + 102*b + 3*b**2 + 112*b - 177.
3*(b - 1)*(b + 62)
Suppose -16 = -4*j + 12. Determine z so that -1 - 5*z**2 + 0 - 1 + j = 0.
-1, 1
Suppose -13 = 2*t - 13. Let x(p) be the first derivative of 0*p + 9 + 0*p**3 + t*p**2 - 1/18*p**4. Let x(c) = 0. What is c?
0
Let o(i) = i**2 + 4*i - 3. Let y be o(1). Factor 3*h**2 - 2*h**3 + 4*h - 8*h**2 - 2*h - 9*h**y + 14.
-2*(h - 1)*(h + 1)*(h + 7)
Let q be (1 + -2 + 2)/((-4)/(-16)). Let d(a) be the third derivative of 0 + q*a**2 + 1/20*a**5 + 0*a**3 + 0*a**4 + 0*a. Determine c, given that d(c) = 0.
0
Let i(j) = -j**2 + 8*j - 5. Let z be i(7). Suppose 20*x = 16*x + 24. Suppose 8*v**3 - 6*v**2 - 8*v + x - z*v**4 - 1 + 3 = 0. Calculate v.
-1, 1, 2
Suppose -31*q - 26 + 88 = 0. Factor -1/5*z**q + 4/5 + 3/5*z.
-(z - 4)*(z + 1)/5
Let j(p) be the third derivative of p**7/1050 - 23*p**6/600 + 27*p**5/100 - 97*p**4/120 + 19*p**3/15 - 2*p**2 - 259. Suppose j(s) = 0. What is s?
1, 2, 19
Let x(a) = a**4 + a**3 - a**2 + a - 1. Suppose 2*r - r = -1. Let v be (-1)/(4/(-12)) + -5. Let m(f) = -4*f**3 + 2. Let o(u) = r*m(u) + v*x(u). Factor o(t).
-2*t*(t - 1)**2*(t + 1)
Let b(i) be the first derivative of -i**4/20 - i**3/5 - 5*i - 17. Let z(l) be the first derivative of b(l). Suppose z(f) = 0. What is f?
-2, 0
Let p(b) be the third derivative of -b**7/315 - b**6/90 + 2*b**5/15 - 7*b**4/18 + 5*b**3/9 - 11*b**2 - 5. What is w in p(w) = 0?
-5, 1
Let t(a) be the third derivative of -a**5/100 + 93*a**4/20 - 37*a**3/2 - 313*a**2 + 2. Find u, given that t(u) = 0.
1, 185
Let x = 1125979/69 + -16319. Let s = -3/23 - x. Factor -s*c**2 + 2*c - 3.
-(c - 3)**2/3
Let q(s) be the first derivative of 3*s**4/20 - 3*s**2/10 + 1039. What is a in q(a) = 0?
-1, 0, 1
Let p be 1*(-5)/5 - -4. Suppose 119*x**p - 24*x**2 - 49*x**4 - 20*x**5 - 43*x**3 + 17*x**4 = 0. What is x?
-3, 0, 2/5, 1
Let u(i) be the first derivative of -i**5/10 + i**4/8 + i**3/2 - i**2/4 - i - 137. What is y in u(y) = 0?
-1, 1, 2
Factor -4/11*c - 7 + 1/11*c**2.
(c - 11)*(c + 7)/11
Let m = -4669/12 - -1171/3. Factor -3/4 + 1/4*j**3 - m*j**2 + 7/4*j.
(j - 3)*(j - 1)**2/4
Let o(u) be the first derivative of -u**4/5 + 68*u**3/15 - 84*u**2/5 - 31. Find t, given that o(t) = 0.
0, 3, 14
Solve -2/3*k**5 - 2*k**4 + 4/3*k**2 + 2*k + 2/3 - 4/3*k**3 = 0.
-1, 1
Let k = 162 + -323/2. Let f(q) be the first derivative of -5 - k*q**3 + q + 1/4*q**2. Factor f(m).
-(m - 1)*(3*m + 2)/2
Let m(l) = -l**3 + 1. Let c(r) = -2*r**3 - 22*r**2 - 21*r + 1. Let q(v) = -c(v) + m(v). Factor q(i).
i*(i + 1)*(i + 21)
Let j(k) = 4*k + 31. Let c be j(-8). Let h be 4/10*(-1)/c. Suppose -2/5*s**3 + 0 - h*s + 4/5*s**2 = 0. Calculate s.
0, 1
Let i = -37 - -40. Determine k, given that 0*k - 2*k**2 - k + 0*k**3 - 5*k**i + 4*k**3 = 0.
-1, 0
Let x(p) be the third derivative of -1/120*p**5 - 5/24*p**4 + 0 + 7*p**2 - 25/12*p**3 + 0*p. Factor x(l).
-(l + 5)**2/2
Let k(s) be the second derivative of s**7/2016 - s**5/24 - 7*s**4/12 - 5*s. Let o(p) be the third derivative of k(p). Solve o(q) = 0.
-2, 2
Suppose -2*z - 5*r - 14 = -4*z, 5*r = -10. Let k(w) = w**3 - 8*w**2 + 8*w - 4. Let s be k(7). Factor -5 - 9*g + 9*g**2 - s + 2 - 75*g**3 + 81*g**z.
-3*(g - 1)*(5*g - 2)*(5*g + 1)
Let w be -3 - (18 - (-2 + 1)). Let x be w/(-12) - 11/(-66). Determine v so that -v**3 + x*v**5 + 0*v**3 + 2*v - 3*v**3 + 0*v**3 = 0.
-1, 0, 1
Let i be -2*3/3 + -14. Let f = -11 - i. Solve -15*u**4 - 2*u**5 + 7*u**5 - f*u**2 - 3*u**3 + 18*u**3 = 0 for u.
0, 1
What is b in 520*b - 1012*b - 7*b**2 + 0*b**2 - 140 = 0?
-70, -2/7
Suppose -32 = -4*x + 4*m, -4*x + 10*m = 7*m - 27. Solve -5/7*p**4 + 5/7*p + 1/7*p**5 + 10/7*p**x - 1/7 - 10/7*p**2 = 0 for p.
1
Find q such that -45/4 - 3/4*q**2 - 12*q = 0.
-15, -1
Let f(c) be the second derivative of 4/5*c**2 + 2*c - 1/30*c**4 + 0 + 1/5*c**3. Determine d, given that f(d) = 0.
-1, 4
Find o, given that -46003*o**5 - 474*o - 426*o + 185*o**4 + 1315*o**2 + 180 - 765*o**3 + 45988*o**5 = 0.
1/3, 1, 2, 3, 6
Let k(v) = -v + 5. Let z be (0/(12/4))/2. Let u be k(z). Determine f so that f**2 + 6*f**3 + 12*f**4 + 3*f**u + 11*f**2 + 3*f + 12*f**3 = 0.
-1, 0
Factor -16*f**3 + 256*f**2 + 2238*f + 48*f**4 + 4*f**5 + 208*f**3 - 2238*f.
4*f**2*(f + 4)**3
Let d = 32 + -9. Solve -d + 5*o + 23 + 20*o*