*p + 3 - 8. Suppose 1/4*m**3 + l*m - 1/4*m**2 + 0 = 0. Calculate m.
0, 1
Let g = 533/5 - 106. Let 6/5 - g*b**2 + 3/5*b = 0. What is b?
-1, 2
Let l = -10 + 15. Suppose 4*w = -2*a - a, -l*a - 35 = -5*w. Factor 2*v**5 - v**2 + 4*v**4 + w*v**4 + 0*v**5 + 2*v**3 + 2*v**5.
v**2*(v + 1)**2*(4*v - 1)
Let l(x) be the third derivative of 0*x - 1/1050*x**7 - 10*x**2 + 0*x**6 + 1/300*x**5 + 0*x**4 + 0*x**3 + 0. Factor l(q).
-q**2*(q - 1)*(q + 1)/5
Let x(s) = -s**3 - 4*s**2 - 7*s - 10. Let d be x(-3). Let h(q) be the first derivative of 4/3*q**2 + 3 - 2/9*q**3 - d*q. Factor h(w).
-2*(w - 3)*(w - 1)/3
Suppose -43 + 4*v**2 - 1 + 8 = 0. What is v?
-3, 3
What is p in -3*p - 61*p**3 + 27*p**3 + 9*p**2 + 28*p**3 = 0?
0, 1/2, 1
Let o(t) be the second derivative of -t**8/5040 + t**6/1080 - t**3/2 - t. Let j(z) be the second derivative of o(z). Factor j(u).
-u**2*(u - 1)*(u + 1)/3
Let 0*l - 21*l**2 + 2*l - 23*l**2 + 41*l**2 = 0. Calculate l.
0, 2/3
What is g in -4/13*g + 6/13*g**2 + 0 + 2/13*g**3 - 6/13*g**4 + 2/13*g**5 = 0?
-1, 0, 1, 2
Let l be (-38)/(-171) + 1 + (-1 - 0). Factor l*w**2 + 2/9*w**4 + 4/9*w**3 + 0 + 0*w.
2*w**2*(w + 1)**2/9
Let u(r) be the second derivative of 0 + 0*r**5 - r - 1/126*r**7 + 0*r**4 + 0*r**3 + 0*r**2 - 1/90*r**6. Factor u(i).
-i**4*(i + 1)/3
Let q(j) be the third derivative of j**5/15 + 2*j**4/3 + 2*j**3 + 37*j**2 + j. Find f such that q(f) = 0.
-3, -1
Let v(s) be the second derivative of s**7/105 - s**6/75 - s**5/50 + s**4/30 - 2*s. Suppose v(l) = 0. Calculate l.
-1, 0, 1
Let n(d) = 7*d**3 + 7*d**2 - 7*d - 7. Let l(g) = -g - g**2 - 3*g**3 - 6 + 9 + 4*g - 2*g**2. Let q(k) = -10*l(k) - 4*n(k). Factor q(w).
2*(w - 1)*(w + 1)**2
Let c(p) be the first derivative of -p**6/15 - 2*p**5/25 + p**4/10 + 2*p**3/15 + 17. Factor c(i).
-2*i**2*(i - 1)*(i + 1)**2/5
Solve 0*c**2 - 10*c**5 + 5/3*c**3 + 0*c + 5/3*c**4 + 0 = 0 for c.
-1/3, 0, 1/2
Let v(a) be the third derivative of -5*a**8/336 + a**6/12 - 5*a**4/24 + 9*a**2. Factor v(y).
-5*y*(y - 1)**2*(y + 1)**2
Factor -152/13*d - 200/13*d**3 + 24/13 + 310/13*d**2.
-2*(4*d - 3)*(5*d - 2)**2/13
Suppose 5*p = -2*k + 11, 0 = k - 5*p + 3 - 1. Factor 2/5*f + 2/5 - 2/5*f**k - 2/5*f**2.
-2*(f - 1)*(f + 1)**2/5
Let z(r) be the second derivative of 1/90*r**5 + 1/6*r**3 - 1/36*r**4 - 1/540*r**6 + 0*r**2 + r + 0. Let j(w) be the second derivative of z(w). Factor j(m).
-2*(m - 1)**2/3
Factor -18/5*j**3 + 0 + 54/5*j**2 + 2/5*j**4 - 54/5*j.
2*j*(j - 3)**3/5
Factor 5*t**2 - 5*t - 16 - 17 + 3 + 0.
5*(t - 3)*(t + 2)
Let s(y) be the third derivative of y**5/20 + y**4 - 9*y**3/2 + 8*y**2 - 7. Find h, given that s(h) = 0.
-9, 1
Let o be (1/2)/(3/18). Solve 9*m**3 + 7*m**o + 2*m**3 + 2*m**2 - 19*m**3 = 0.
0, 2
Suppose 3*m - 7 = -1. Factor 2*t + 3*t**2 - 3*t**2 - 4*t**2 + m*t**2.
-2*t*(t - 1)
Suppose 2*y = 4*q - 150, y = -y - 2. Let z = -25 + q. Determine a, given that 35*a**2 + 10*a**4 + 21*a**2 - 3*a + 44*a**3 + 7*a + z*a = 0.
-2, -2/5, 0
Let f(m) = -4*m**4 + 3*m**3 + 2*m**2 - 9*m + 8. Let s(a) = -3*a**4 + 3*a**3 + 2*a**2 - 10*a + 8. Let j(b) = -2*f(b) + 3*s(b). Factor j(c).
-(c - 2)**2*(c - 1)*(c + 2)
Let 4*d + d**2 + d**2 + d**2 + 11*d = 0. What is d?
-5, 0
Let k(q) be the second derivative of 5*q**8/672 + q**7/60 + q**6/120 - q**2/2 - 3*q. Let n(v) be the first derivative of k(v). Let n(l) = 0. Calculate l.
-1, -2/5, 0
Let i(p) be the second derivative of -p**4/21 - 2*p**3/21 - 22*p. Solve i(f) = 0.
-1, 0
Let d = 119/4 - 1301/44. Factor d + 6/11*b**2 + 8/11*b.
2*(b + 1)*(3*b + 1)/11
Suppose 18 - 3 = 3*v. Factor -2/5*m**v + 0*m**2 - 2/5*m**3 + 0 + 4/5*m**4 + 0*m.
-2*m**3*(m - 1)**2/5
Let q(v) be the first derivative of v**6/18 + v**5/30 - v**4/12 - v**3/18 - 4. Find r such that q(r) = 0.
-1, -1/2, 0, 1
Factor -2/19*y**3 + 0 - 6/19*y - 8/19*y**2.
-2*y*(y + 1)*(y + 3)/19
Find s such that -3/2*s**2 + 6*s - 4*s**3 + 2 + 3/2*s**4 = 0.
-1, -1/3, 2
Let r(f) be the first derivative of 5*f**3/3 + 10*f**2 + 20*f - 28. Suppose r(i) = 0. What is i?
-2
Let q(i) be the second derivative of -7/8*i**3 + 4*i - 3/4*i**2 - 9/80*i**5 + 0 - 1/2*i**4. Find y, given that q(y) = 0.
-1, -2/3
Let u(a) be the second derivative of 2/9*a**4 + a + 1/5*a**6 + 0*a**2 + 0 + 2/5*a**5 + 0*a**3. What is g in u(g) = 0?
-2/3, 0
Let r = 23 + -23. Let t(q) be the second derivative of 1/9*q**3 + 1/63*q**7 + 4/45*q**6 + r + 0*q**2 + 2/9*q**4 + 1/5*q**5 - q. Factor t(z).
2*z*(z + 1)**4/3
Factor 71*a - 5*a**3 - 91*a - 3*a**2 + 6*a**2 + 17*a**2.
-5*a*(a - 2)**2
Let a(x) be the second derivative of 0*x**2 + 1/20*x**5 + 0 + 1/6*x**3 - 6*x + 1/6*x**4. Factor a(u).
u*(u + 1)**2
Factor 1/2*h**2 - 2 + 3/2*h.
(h - 1)*(h + 4)/2
Let m = 206 - 202. Factor m + 25/4*g**3 + 30*g**2 + 21*g.
(g + 4)*(5*g + 2)**2/4
What is m in -2/5*m**2 + 0 + 0*m - 4/5*m**3 - 2/5*m**4 = 0?
-1, 0
Find v such that 16/3*v - 40/3*v**2 + 2/3*v**5 + 0 + 12*v**3 - 14/3*v**4 = 0.
0, 1, 2
Factor 1/7*k**2 + 0 + 0*k + 1/7*k**3.
k**2*(k + 1)/7
Let k(w) be the second derivative of -w**7/3780 + w**6/540 - w**5/180 - w**4/4 + 4*w. Let n(y) be the third derivative of k(y). Solve n(x) = 0 for x.
1
Let m(v) = 2*v - 2. Let r be m(2). Let f(j) = -j**3 + 4*j**2 - 2*j - 1. Let b be f(r). Factor t**4 + 8*t - 6*t**2 - 4*t**b + t**4 + 8 + 0*t**3.
2*(t - 2)**2*(t + 1)**2
Let b(s) be the first derivative of 0*s - 1 - 1/3*s**2 - 8/9*s**3. Let b(r) = 0. Calculate r.
-1/4, 0
Suppose -c + 38 = 36. Find k such that c*k + 2*k**3 - 3*k**2 - 1/2*k**4 - 1/2 = 0.
1
Let 0*m - 2/13 + 2/13*m**2 = 0. Calculate m.
-1, 1
Let n(w) = -72*w**4 + 88*w**3 - 72*w**2 - 28*w - 28. Let r(o) = 13*o**4 - 16*o**3 + 13*o**2 + 5*o + 5. Let t(q) = 5*n(q) + 28*r(q). Suppose t(f) = 0. What is f?
0, 1
Let p(n) be the second derivative of -n**3/6 + n**2 - 6*n. Let j be p(-4). Find y such that -2*y**4 + 2/3*y**3 + j*y**2 + 4/3 - 6*y = 0.
-2, 1/3, 1
Factor 3*k**4 - 5 + 3*k**3 + 2*k - 5*k + 5 - 3*k**2.
3*k*(k - 1)*(k + 1)**2
Let p(f) be the third derivative of 1/180*f**6 - 1/15*f**5 - 2*f**2 + 1/3*f**4 + 0 + 0*f + 1/6*f**3. Let t(l) be the first derivative of p(l). Factor t(c).
2*(c - 2)**2
Suppose -m + 5*v - 94 = 0, -m - 4*m - 4*v - 412 = 0. Let h be (2 - m/(-40))*-4. Determine x so that 6/5*x**3 - 2/5*x**2 - 4/5*x**5 + 0 - h*x + 2/5*x**4 = 0.
-1, -1/2, 0, 1
Let k be -3 - 0 - 1 - 56/(-6). What is q in 4/3*q + q**4 + k*q**2 + 13/3*q**3 + 0 = 0?
-2, -1/3, 0
Determine r so that 6/13*r - 2/13*r**2 - 4/13 = 0.
1, 2
Let r(g) = -7*g**3 - 10*g**2 + 13*g + 8. Let b(s) = 111*s**3 + 159*s**2 - 207*s - 129. Let m(x) = -2*b(x) - 33*r(x). Factor m(h).
3*(h - 1)*(h + 2)*(3*h + 1)
Let y(v) = 25*v**3 - 20*v**2 - 5*v. Let p(f) = -6*f**3 + 5*f**2 + f. Let d(r) = 26*p(r) + 6*y(r). Factor d(t).
-2*t*(t - 1)*(3*t - 2)
Factor 2/7 - 4/7*g**2 + 0*g**3 + 2/7*g**4 + 0*g.
2*(g - 1)**2*(g + 1)**2/7
Let w = -14 + 45. Factor -4 - 18*j - 5*j**2 + 8*j**2 + w.
3*(j - 3)**2
Let l be -3*(-4)/6 - -7. Let r(k) = k**3 - 8*k**2 - 9*k + 3. Let x be r(l). Factor -2 - s + 5/4*s**x + 3/2*s**2 + 1/4*s**4.
(s - 1)*(s + 2)**3/4
Let n(w) be the first derivative of 1/10*w**4 + 1/15*w**6 + 0*w + 0*w**2 + 0*w**3 - 4/25*w**5 + 3. Factor n(o).
2*o**3*(o - 1)**2/5
Let q = -521 - -2597/5. Let w = 29/15 + q. Determine p so that 0 + w*p + 1/3*p**2 = 0.
-1, 0
Let j(w) = 3*w**2. Let d be j(-1). Let t(q) be the second derivative of 1/6*q**4 + 2*q - 1/6*q**d - 1/20*q**5 + 0 + 0*q**2. Find i such that t(i) = 0.
0, 1
Let q(s) be the third derivative of s**6/60 + s**5/15 - s**4/3 - 8*s**3/3 + 5*s**2. Factor q(r).
2*(r - 2)*(r + 2)**2
Let a(k) be the first derivative of 8*k**5/85 + 10*k**4/17 + 22*k**3/17 + 20*k**2/17 + 8*k/17 + 26. Factor a(u).
2*(u + 2)**2*(2*u + 1)**2/17
Factor 283*y**3 - 15*y**5 + 5*y**4 - 283*y**3.
-5*y**4*(3*y - 1)
Let z(v) be the second derivative of 3*v**5/100 - 6*v. Factor z(h).
3*h**3/5
Let i = -215 + 145. Let d be (-335)/i + 2/(-7). Factor -m + 0 + d*m**2.
m*(9*m - 2)/2
Let j(c) be the first derivative of -c**7/1260 + c**6/540 + 8*c**3/3 - 8. Let f(d) be the third derivative of j(d). Let f(k) = 0. Calculate k.
0, 1
Let d(z) = z**2 - 5*z - 10. Let g be d(7). Suppose o + g*o = 10. Factor 6*t**4 + t**3 + 6*t - o - 6*t**2 - 5*t**3 + 2*t**2 - 2*t**5.
-2*(t - 1)**4*(t + 1)
Let m(o) = -2*o**3 - 7*o**2 + 3*o + 3. Let g be m(-5). Let j = 443/7 - g. Let -4/7*h**2 + 0 - 8/7*h**4 - j*h + 2*h**3 = 0. C