*v**q + 1/15*v**6 - 3*v - 1/6*v**4 + 0*v**2. Factor k(j).
2*j*(j - 1)**2*(j + 1)
Suppose -5*p - 15 = -40. Factor -12 + p*f**2 - 2*f - 3*f**2 + f**2 - f**2.
2*(f - 3)*(f + 2)
Let g(c) = 16*c - 14*c**2 - 2*c**3 - 2*c**2 - 15 + 3*c**3 + 0*c**2. Let o be g(15). Factor 8/5*w**2 + 0 + 4/5*w**4 - 12/5*w**3 + o*w.
4*w**2*(w - 2)*(w - 1)/5
Let 56/3*j - 98/3*j**2 - 8/3 = 0. Calculate j.
2/7
Let j(r) be the first derivative of 4/21*r**3 - 1/7*r**4 - 11 + 0*r + 0*r**2. Suppose j(b) = 0. Calculate b.
0, 1
Suppose -23*h = 16 - 16. Let m(v) be the first derivative of 1/2*v**2 - 1/9*v**3 + h*v - 2. Factor m(o).
-o*(o - 3)/3
Find y such that -9/2*y + 0 + 1/4*y**4 + 1/2*y**3 - 9/4*y**2 = 0.
-3, -2, 0, 3
Let v be (-115)/(-20) + (5/4 - 1). Factor 20*c**3 + 37*c**4 + 18*c**2 + v*c**2 - 33*c**4.
4*c**2*(c + 2)*(c + 3)
Suppose 49*t = 91 + 7. Let b(a) be the second derivative of -3*a + 2/33*a**3 + 0*a**t + 0*a**5 + 0 + 1/22*a**4 - 1/165*a**6. Factor b(u).
-2*u*(u - 2)*(u + 1)**2/11
Let s(u) = -17*u**3 - 2*u**2 + 7*u + 3. Let w(i) = 2*i**3 + i**2 + i + 1. Let l(b) = -2*s(b) - 18*w(b). Factor l(v).
-2*(v + 2)**2*(v + 3)
Suppose 3*p - 12 - 4 = 2*k, 0 = 2*p - 5*k - 29. Factor -1/3*t**p + t - 2/3.
-(t - 2)*(t - 1)/3
Suppose -9 = 3*w - 5*d, -w + 3*d = -0*w + 7. Suppose 0 = 3*u - 6 - 3. Let -v**2 - v**u + v**w - v**4 = 0. Calculate v.
-1, 0
Find r, given that 51*r**3 + 53*r**3 - 2*r**4 - 94*r**3 + 16*r**2 - 24*r = 0.
-2, 0, 1, 6
Let z be 35640/157080 + 1/17. Determine k, given that 0*k + 2/7*k**2 - z = 0.
-1, 1
Let z(y) = 43 + 3*y**2 - y**3 - 2*y - 76 + 36. Let k(b) = 2*b**3 - 5*b**2 + 3*b - 5. Let m(l) = -3*k(l) - 5*z(l). Suppose m(i) = 0. What is i?
-1, 0, 1
Let c(g) be the second derivative of g**4/12 + 17*g**3/2 + 25*g**2 + 2*g - 139. Factor c(r).
(r + 1)*(r + 50)
Let u(i) be the first derivative of i**9/25704 + 3*i**8/4760 + 2*i**7/1785 + 13*i**3/3 - 6. Let l(f) be the third derivative of u(f). Factor l(r).
2*r**3*(r + 1)*(r + 8)/17
Factor 7/2*i**2 + 10*i + 6 - 1/2*i**4 - i**3.
-(i - 3)*(i + 1)*(i + 2)**2/2
Let u(v) = 43*v. Let a be u(-23). Let g = a + 10889/11. Find q such that 42/11*q**2 + g*q**4 + 2*q + 34/11*q**3 + 4/11 = 0.
-1, -2/5
Find c such that -5/4*c**2 + 1/2*c + c**3 - 1/4*c**4 + 0 = 0.
0, 1, 2
Suppose -40 = 10*d - 15*d. Factor 3*b**2 + d*b**3 - 3*b**2 - 45*b**4 + 49*b**4.
4*b**3*(b + 2)
Factor 0*z**3 - 16/5 + 8/5*z**2 - 1/5*z**4 + 0*z.
-(z - 2)**2*(z + 2)**2/5
Let q(v) be the first derivative of -v**4/16 - 31*v**3/6 + 193*v**2/8 - 65*v/2 - 33. What is k in q(k) = 0?
-65, 1, 2
Let o(v) be the third derivative of v**8/110880 - v**7/9240 + v**6/1980 - v**5/12 + 11*v**2. Let f(b) be the third derivative of o(b). Factor f(p).
2*(p - 2)*(p - 1)/11
Let n(i) be the first derivative of -1/2*i**2 + 1/3*i**3 - 2*i + 13. Factor n(o).
(o - 2)*(o + 1)
Let o be 5 - ((-3 - -2) + 5 + -2). Let i(t) be the first derivative of 2*t**4 + 0*t - 10/3*t**o - 3 + 2*t**2 - 2/5*t**5. Solve i(f) = 0 for f.
0, 1, 2
Let w(p) be the first derivative of 6*p**5/7 + 69*p**4/28 + 16*p**3/7 + 9*p**2/14 - 60. Find s, given that w(s) = 0.
-1, -3/10, 0
Let j be ((5 + -7)/6)/(2/(-4)). Suppose 0 - j*b**5 + 0*b**3 - 2*b**4 + 8/3*b**2 + 0*b = 0. What is b?
-2, 0, 1
Suppose 33*z - 461 + 131 = 0. Let o(i) be the second derivative of 0*i**2 + z*i - 2/9*i**3 - 1/6*i**4 + 1/15*i**6 + 1/63*i**7 + 1/30*i**5 + 0. Solve o(s) = 0.
-2, -1, 0, 1
Let w(f) be the third derivative of 5*f**7/42 + f**6/3 + f**5/12 - 5*f**4/12 + 2*f**2 + 204. Suppose w(r) = 0. What is r?
-1, 0, 2/5
Let o(z) = z**5 - z**4 - z**3 + 4*z. Let n(h) = -7*h**5 + 3*h**4 + 31*h**3 + 50*h**2 + 4*h. Let s(j) = n(j) + 5*o(j). Solve s(p) = 0 for p.
-3, -1, 0, 4
Let z = 1977/10 + -981/5. Factor 0 + z*g**3 + 1/2*g**2 + 0*g.
g**2*(3*g + 1)/2
Let g(s) be the third derivative of -s**4/8 + 5*s**3/6 + 18*s**2. Let w be g(1). Solve -1/3*q + 0 - 4/3*q**4 - 4/3*q**w - 1/3*q**5 - 2*q**3 = 0 for q.
-1, 0
Solve -2*t - 34/9*t**2 + 4/9 - 4/3*t**3 = 0.
-2, -1, 1/6
Let j(z) be the second derivative of -1/8*z**3 + 23*z + 5/16*z**2 + 0 + 1/96*z**4. Factor j(x).
(x - 5)*(x - 1)/8
Let r = 2757 + -2755. Find w such that -11/5*w + 2 + 1/5*w**r = 0.
1, 10
Suppose -m = 21*m - 66. Let p(w) be the first derivative of 5 + 1/4*w**4 + w**m + w**2 + 0*w. Factor p(l).
l*(l + 1)*(l + 2)
Let v(n) = -9*n - 16 + 21*n**2 + 16*n**2 - n**3 - 41*n**2. Let m be v(-3). Factor -2/7*d**3 - 2/7*d - 4/7*d**m + 0.
-2*d*(d + 1)**2/7
Determine v, given that 15/4*v**2 - 5/4*v**3 + 5/4*v - 1/4*v**4 - 7/2 = 0.
-7, -1, 1, 2
Let w be (-1 - -4) + -5 + -6. Let x be ((-24)/42 - w/14)/1. Solve 6/13*d + x - 2/13*d**2 = 0 for d.
0, 3
Let p(r) = 11*r**3 - 5*r**2 + 6*r - 6. Let x(w) = 0 - 2 - w - w**3 - 3 + 6. Let l(g) = -p(g) - 6*x(g). Find j such that l(j) = 0.
0, 1
Let x = 2312 + -2312. Let l(h) be the third derivative of -3*h**2 - 1/2*h**3 + 0 + 0*h**4 + x*h + 1/20*h**5. Solve l(a) = 0 for a.
-1, 1
Let d be 0*2/(-6) - (-4)/(-4). Let w be d/(-2) + (-13)/(-78). Factor -2*j + 0 + w*j**3 - 4/3*j**2.
2*j*(j - 3)*(j + 1)/3
Let b(o) = o**3 - 15*o**2 + 26*o + 3. Let s be b(13). Factor -17*p**3 - p**2 + 19*p**s + 5*p**2 + 2*p.
2*p*(p + 1)**2
Let g(n) = 3*n**2 + 3*n - 59. Let b(x) = -x**2 - x + 30. Let s(f) = -5*b(f) - 3*g(f). Let u(v) = -1. Let k(m) = -s(m) - 3*u(m). Factor k(a).
4*(a - 2)*(a + 3)
Let l(u) be the second derivative of -u**7/126 - u**6/48 + u**5/24 - 7*u**4/3 - 39*u. Let y(b) be the third derivative of l(b). Factor y(x).
-5*(x + 1)*(4*x - 1)
Let o be 5 + (-1209)/143 + 4. Suppose 0 - 4/11*u**3 - 2/11*u**4 + 0*u + o*u**2 = 0. What is u?
-3, 0, 1
Let g(i) = -5*i**4 + 9*i**3 + 2*i**2. Suppose 4*j + 0 = -4. Let n(l) = -l**4 + l**3 - l**2. Let h(z) = j*g(z) + 4*n(z). Factor h(a).
a**2*(a - 6)*(a + 1)
Let y(p) be the second derivative of 1/12*p**6 + 17/40*p**5 + 13*p + 0 + 0*p**2 + 2/3*p**4 + 1/3*p**3. Factor y(q).
q*(q + 1)*(q + 2)*(5*q + 2)/2
Let b be 18/(-264) - (-3)/12. Factor 0 + 2/11*r**2 + b*r.
2*r*(r + 1)/11
Suppose 50*m = 119 + 31. Let v(w) be the second derivative of 0*w**2 + 1/150*w**6 + m*w + 0 - 1/50*w**5 + 0*w**3 + 1/60*w**4. Find u, given that v(u) = 0.
0, 1
Let t(j) be the first derivative of j**4 - 740*j**3 + 205350*j**2 - 25326500*j + 379. Determine f, given that t(f) = 0.
185
Let q(i) = -5*i**3 + 22*i**2 + 35*i + 14. Let p(c) = -6*c**3 + 23*c**2 + 36*c + 14. Let o(d) = -6*p(d) + 7*q(d). Factor o(s).
(s + 1)**2*(s + 14)
Let u = -134 - -15. Let n = 121 + u. Factor 0 + 1/2*l**n + 0*l.
l**2/2
Suppose 2*x - 233*o + 235*o = 2, -2 = 2*x + 4*o. Suppose 0 + 2/13*m**2 + 4/13*m**x + 2/13*m**4 + 0*m = 0. Calculate m.
-1, 0
Let f(o) be the first derivative of -o**4/54 - 4*o**3/27 - o**2/3 + 43*o - 24. Let a(s) be the first derivative of f(s). Solve a(v) = 0.
-3, -1
Suppose 20 = -9*o + 19*o. Factor -4 + 10 - 8*x + 10 + 8*x**3 - 15*x**o - x**4.
-(x - 4)**2*(x - 1)*(x + 1)
Let s(o) = -3*o + 2. Let v be s(-1). Suppose 2 - v*i + 6*i**2 - 8*i + 5*i = 0. Calculate i.
1/3, 1
Let v(f) = -2*f**3 - 12*f**2 + 4*f. Let p(m) = 10*m**3 - 21*m**3 + 12*m**3. Let l(w) = 5*p(w) - v(w). Factor l(t).
t*(t + 2)*(7*t - 2)
Let n(b) be the first derivative of 6*b - 9/2*b**2 + b**3 - 29. Let n(d) = 0. Calculate d.
1, 2
Let b(s) = 6*s**2 + 2*s. Let q(r) = -5*r**2 - r - 1. Let y(l) = -6*b(l) - 7*q(l). Let f be y(-6). Find v, given that v - f - 1/4*v**2 = 0.
2
Let k(p) = p - 14. Suppose -3*m + 12 = -30. Let v be k(m). Factor -9 - 13*o + 3*o**2 + 19*o + v*o**2.
3*(o - 1)*(o + 3)
What is q in 0*q + 0 + 2/5*q**3 + 138/5*q**2 = 0?
-69, 0
Factor -5*i + 119216*i**3 - 119212*i**3 - 172 + i + 172*i**2.
4*(i - 1)*(i + 1)*(i + 43)
Let r(b) be the first derivative of b**6/30 - 16*b**5/25 - 27*b**4/10 - 56*b**3/15 - 19*b**2/10 + 170. Find c, given that r(c) = 0.
-1, 0, 19
What is t in -783*t - 63*t**4 - 620*t**2 - 274*t**2 - 99 - 414*t**3 - 144 - 3*t**5 + 0*t**5 = 0?
-9, -1
Factor -4*j**2 + 13*j + 19*j - j - 6*j + 7*j.
-4*j*(j - 8)
Suppose 15*s - 6479 + 6449 = 0. Find i, given that 0 + 10/9*i + 8/9*i**4 + 26/9*i**3 + 28/9*i**s = 0.
-5/4, -1, 0
Suppose 0 = 3*o - 1559 + 1544. Find h such that 0 + 0*h**2 + 6/7*h**3 - 3/7*h**4 + 0*h - 3/7*h**o = 0.
-2, 0, 1
Let c(j) be the first derivative of 5*j**4/4 - 65*j**3/3 - 35*j**2 - 79. Find k such that c(k) = 0.
-1, 0, 14
Let i(q) be the second derivative of q**7/252 - 2*q**6/135 + q**5/180 + q