-2/5*p + 4/5*p**2 - l + 2/5*p**3.
2*(p - 1)*(p + 1)*(p + 2)/5
Let l be (10 - (-6 - -17)) + 3. Let f = -53 + 372/7. Factor 0*x**3 - f*x**4 + 3/7*x**l - 2/7*x + 0.
-x*(x - 1)**2*(x + 2)/7
Let f(g) = -g**3 + g**2 + g + 1. Suppose 47 + 53 = 5*r. Let h(j) = -j**5 - 8*j**4 - 18*j**3 - 28*j**2 - 13*j - 4. Let d(v) = r*f(v) + 5*h(v). Factor d(t).
-5*t*(t + 1)**2*(t + 3)**2
Let i(s) = 5*s**4 + 6*s**3 + s**2 - 4*s. Let w(j) = -4*j**4 - 5*j**3 - j**2 + 3*j. Let y(d) = 3*i(d) + 4*w(d). What is z in y(z) = 0?
-1, 0
Let k(l) = 24*l - 23*l - 25 - 41*l - 5*l**2. Let d(t) = 1. Let i(q) = -10*d(q) + k(q). Factor i(m).
-5*(m + 1)*(m + 7)
Let j = -2976 - -11905/4. Determine p so that 3/4*p - j*p**2 - 1/2 = 0.
1, 2
Let a be -3 - 7/(28/(-1136)). Factor 2*s**3 - 5*s - s + 277 - a.
2*(s - 2)*(s + 1)**2
Let s(t) be the third derivative of -t**5/15 - 91*t**4/3 - 16562*t**3/3 + 304*t**2 + 2*t. Factor s(z).
-4*(z + 91)**2
Let k(z) be the first derivative of -25/6*z**6 - 2 + 5*z**4 + 0*z - 8*z**5 + 0*z**3 + 0*z**2. Factor k(b).
-5*b**3*(b + 2)*(5*b - 2)
Let v(i) be the first derivative of -2*i**3/3 + 54*i**2 - 1458*i + 20. Factor v(a).
-2*(a - 27)**2
Suppose 24 = 5*b + 4*k, -5*b + 19 = 17*k - 18*k. Let j(l) be the third derivative of 0*l + 0 - 1/270*l**5 + 0*l**3 + b*l**2 + 1/36*l**4. Factor j(s).
-2*s*(s - 3)/9
Let v(o) = -2*o - 6. Let y be v(-4). Suppose 5*b - y*u = 5, -5*b - 1 = -2*b - 2*u. Factor -l**4 + 7*l**4 - b*l**4 - l**5 - 2*l**2 - l**4 + l.
-l*(l - 1)**3*(l + 1)
Let p(g) be the first derivative of g**4/6 + 4*g**3/9 - g**2/3 - 4*g/3 + 195. Factor p(r).
2*(r - 1)*(r + 1)*(r + 2)/3
Suppose 81/8*t**3 - 129/4*t**2 + 0 - 33/8*t**5 + 129/4*t**4 - 6*t = 0. What is t?
-1, -2/11, 0, 1, 8
Let l(c) be the second derivative of c**10/6048 - c**8/1344 - 7*c**4/6 - 7*c. Let m(b) be the third derivative of l(b). Factor m(p).
5*p**3*(p - 1)*(p + 1)
Find g such that 8/9*g**2 - 4/3*g**3 - 2/9*g**5 - 2/9*g + 0 + 8/9*g**4 = 0.
0, 1
Suppose -12*h + 15408 = -0*h. Suppose -43*g**2 - 95*g + 1314 - h + 8*g**2 = 0. Calculate g.
-3, 2/7
Let v(z) be the first derivative of -40*z + z**5 + 14 + 10*z**3 + 10*z**2 - 25/4*z**4. Factor v(w).
5*(w - 2)**3*(w + 1)
Let s(r) = 65*r**2 + 90*r - 30. Let c(i) = -2*i**2 - i + 1. Let z(m) = 30*c(m) + s(m). Suppose z(n) = 0. What is n?
-12, 0
Suppose -3*v + n + 6 = 0, n = 3*v + 3*n - 15. Factor 6*k - 1 + 1 + 3*k**2 - 9*k**3 + v*k**5 - 3*k**4.
3*k*(k - 2)*(k - 1)*(k + 1)**2
Let n(c) = -c**3 - 467*c**2 - 14413*c - 148953. Let f(y) = y**3 - 468*y**2 - 14412*y - 148952. Let o(h) = 2*f(h) - 3*n(h). Factor o(g).
5*(g + 31)**3
Let d(n) = -9*n**3 + 19*n**2 - 10*n - 1. Let m(w) = -w**4 + w**3 + 1. Let v(k) = -d(k) - m(k). Factor v(t).
t*(t - 1)**2*(t + 10)
Let r be -38 + (0 - -2) - 1. Let c = 79 + r. Find a such that 21*a**2 + 69*a**2 - 36*a**2 - 48*a**5 - 44*a + c*a**2 - 112*a**4 + 132*a**3 - 24 = 0.
-3, -1/2, 2/3, 1
Let c = -257 - -261. Let x(b) be the second derivative of 0*b**3 - 3*b + 0 + 1/6*b**2 - 1/36*b**c. Factor x(z).
-(z - 1)*(z + 1)/3
Let d(t) be the first derivative of -2*t**5/35 - 13*t**4/14 - 46*t**3/21 - 11*t**2/7 - 93. Factor d(u).
-2*u*(u + 1)**2*(u + 11)/7
Let d(b) = -b**3 - 17*b**2 + 36*b - 35. Let s be d(-19). Let n(m) be the second derivative of -1/6*m**2 - 2*m + 0 + 1/9*m**s - 1/36*m**4. Factor n(u).
-(u - 1)**2/3
Suppose -143*l + 152*l - 27 = 0. Suppose 6*x**2 - 9/2*x**l - 3/2*x**5 - 6*x**4 + 0 + 6*x = 0. What is x?
-2, -1, 0, 1
Let d(a) be the third derivative of -a**5/390 - 5*a**4/39 + 7*a**3/13 + 439*a**2. Factor d(y).
-2*(y - 1)*(y + 21)/13
Suppose 4*v = -6*p + 2*p + 16, 5*v + 4 = 3*p. Suppose -6 - p = -3*l. Factor l*j**2 - 1 + 9*j**2 - 1 - 2*j + 6*j**5 - 10*j**4 - 4*j**3.
2*(j - 1)**3*(j + 1)*(3*j + 1)
Let h(m) be the third derivative of 7/30*m**4 + 0*m + 0 + 1/15*m**3 + 49/150*m**5 - 17*m**2. Factor h(a).
2*(7*a + 1)**2/5
Let y(a) be the second derivative of 5*a**4/48 + 35*a**3/8 + 25*a**2/2 + 15*a + 9. Find g, given that y(g) = 0.
-20, -1
Let g(l) = 10*l**2 + 2. Let m(n) = n - 2. Let a be m(4). Let r(x) = 2 + 162*x**a - 151*x**2 - x**3 + 1. Let o(f) = -6*g(f) + 4*r(f). Factor o(c).
-4*c**2*(c + 4)
Let l(w) be the third derivative of -8*w**2 + 1/12*w**4 + 1/240*w**6 + 0*w**3 + 0 - 1/24*w**5 + 0*w. Factor l(v).
v*(v - 4)*(v - 1)/2
Let s(x) be the third derivative of -27*x - 1/20*x**5 - 1/8*x**4 + 0 + x**3 + x**2. Factor s(h).
-3*(h - 1)*(h + 2)
Let o = -28 + 13. Let r(l) = -l - 8. Let y be r(o). What is n in -7 - 2*n**3 + y = 0?
0
Let c = -13 - -22. Suppose 0 = g - c + 3. Let g - 4 + n**2 - 5*n**2 + 2*n**4 = 0. What is n?
-1, 1
Let j be 1 + 4/(-4) + 3. Let k be (-3)/15 + j + 8/(-10). Solve 2/9 + 2/9*t**4 + 0*t**3 - 4/9*t**k + 0*t = 0 for t.
-1, 1
Let g be (1/6)/(3/90). Suppose -2*w - 4 = -i - 0*w, 0 = g*i - 4*w - 14. Let -14/3*l**i + 4/3*l - 10/3*l**4 + 2/3*l**5 + 0 + 6*l**3 = 0. Calculate l.
0, 1, 2
Determine d so that 0 + 0*d - 3/2*d**3 + 51/2*d**2 = 0.
0, 17
Let k(z) be the first derivative of -1/3*z**3 + 9 - 9*z - 3*z**2. Factor k(a).
-(a + 3)**2
Let s(z) = -z**3 + 7*z**2 - 2*z + 16. Let u be s(7). Let t be (u/(-5))/((-12)/240). Find l such that -3*l + 4*l - 17*l - 3 + 20*l**2 - t*l**3 + 7 = 0.
1/2, 1
Let c(d) = d**3 + 6*d**2 + 10*d + 5. Let s be c(-4). Let r be (8/21*s)/(-2). Factor -r*l**4 + 0*l**2 + 0 + 0*l - 2/7*l**3 - 2/7*l**5.
-2*l**3*(l + 1)**2/7
Let v(p) be the first derivative of 0*p**2 - 6 + 2*p + 1/2*p**3 - 1/4*p**4. Let w(l) be the first derivative of v(l). Solve w(d) = 0.
0, 1
Let i(s) be the third derivative of s**7/840 + s**6/240 - s**5/20 - 13*s**4/24 - 10*s**2. Let u(z) be the second derivative of i(z). Factor u(n).
3*(n - 1)*(n + 2)
Let g(p) be the second derivative of 11*p + 7/10*p**6 + 0*p**3 - 1/4*p**4 + 0*p**2 + 2/7*p**7 + 3/10*p**5 + 0. Factor g(u).
3*u**2*(u + 1)**2*(4*u - 1)
Let t(o) = -1. Let x(w) = w**2 - 3*w - 3. Let u be x(4). Let l(a) = 1 + 0 - 3*a**2 - 3 - 3*a - u. Let s(f) = l(f) - 3*t(f). Let s(q) = 0. Calculate q.
-1, 0
Suppose 0 = 5*v - 73 + 48. Let r(f) be the second derivative of 8*f**3 + 0 - 7*f + 15/2*f**4 + 4*f**2 + 5/2*f**v. Suppose r(k) = 0. What is k?
-1, -2/5
Let i(n) be the third derivative of n**7/420 - n**6/120 + 228*n**2. Factor i(s).
s**3*(s - 2)/2
Factor -3/7*j**2 - 9/7*j + 12.
-3*(j - 4)*(j + 7)/7
Let x be (12/(-15))/(4/90*-3). Suppose x*a**3 + 11*a**2 + 5*a**2 + 3 - 4*a**2 - 11*a + a**4 + 21*a = 0. What is a?
-3, -1
Let o(k) be the second derivative of -k**5/120 + 2*k**4/9 - 16*k**3/9 - k + 114. Factor o(i).
-i*(i - 8)**2/6
Let m = 110 + -100. Let a be (6 - 9) + m/3. Factor 0 - 2/3*l + a*l**3 + 1/3*l**2.
l*(l - 1)*(l + 2)/3
Let a(r) = -r**3 + 10*r**2 - r - 14. Let z(m) = -3*m**3 + 29*m**2 - 4*m - 43. Let v(c) = -21*a(c) + 6*z(c). Let v(n) = 0. What is n?
-1, 1, 12
Let x(d) be the third derivative of -3*d**2 - 5/12*d**3 - 1/12*d**5 + 0*d - 1/96*d**6 - 25/96*d**4 + 0. Suppose x(h) = 0. What is h?
-2, -1
Let p(z) = -16*z**2 - 27*z. Let h(g) = -3*g**2 - 5*g. Let y(v) = -33*h(v) + 6*p(v). Factor y(f).
3*f*(f + 1)
Let r(f) be the second derivative of -7/2*f**2 + 4*f + 0 + 0*f**3 - 1/108*f**4 - 1/90*f**5. Let v(y) be the first derivative of r(y). Factor v(i).
-2*i*(3*i + 1)/9
Factor 2*j - 5*j - 36 + 194*j**3 - 18*j - 47*j - 190*j**3 - 28*j**2.
4*(j - 9)*(j + 1)**2
Suppose -4*f + 99 + 21 = 0. Let b = f + -20. Determine d so that b*d**2 - 13/2*d - 9/2*d**3 + 1 = 0.
2/9, 1
Suppose -5*q + 0*q + 25 = 0. Let p be (3/6)/(q/20). Let -2*o**p - o - 2*o + 5*o + o**2 = 0. Calculate o.
0, 2
Let p(x) be the second derivative of 0 - 1/320*x**6 - x**2 - 3/16*x**3 + 1/64*x**4 + 3/160*x**5 - 4*x. Let i(y) be the first derivative of p(y). Factor i(w).
-3*(w - 3)*(w - 1)*(w + 1)/8
Let q(u) be the third derivative of 0 + 0*u + 12*u**2 - 1/100*u**5 - 1/40*u**4 + 0*u**3. Factor q(h).
-3*h*(h + 1)/5
Find k, given that -22/17*k - 2/17*k**2 + 24/17 = 0.
-12, 1
Let k(z) be the second derivative of z**6/3 - z**5/4 - 5*z**4/2 + 35*z**3/6 - 5*z**2 + 5*z + 5. Factor k(m).
5*(m - 1)**2*(m + 2)*(2*m - 1)
Let v be 555/10*(-6)/15. Let i = 1009/45 + v. Factor i*j**3 - 2*j**2 + 6*j - 6.
2*(j - 3)**3/9
Let x = 451/2688 - 1/896. Factor x*v**3 + 1/2*v**2 + 1/3*v + 0.
v*(v + 1)*(v + 2)/6
Let r(a) be the third derivative of a**6/150 - 7*a**5/15 + 64*a**4/15 - 248*a**3/15 - 15*a**2 + 1. Solve r(y) = 0.
2, 31
Let q(v) be the f