 1.
-(n - 5)*(n + 1)/5
Suppose 2*q = 3*q - 26. Suppose 2*p + 4*f = q, -2*f = -0*f - 8. Factor 10*m**2 + m - p*m**2 - 3*m**2 + m**3.
m*(m + 1)**2
Let a be (132/1155)/((-8)/(-60)). Determine k so that -a*k - 2/7*k**2 - 4/7 = 0.
-2, -1
Let p = 84 + -70. Let q be (p/6 + -2)/((-32)/(-144)). Determine l, given that -q*l + 0 + 3/2*l**2 = 0.
0, 1
Let z(h) be the first derivative of -1/3*h**3 + 3/4*h**2 + h - 1/2*h**4 + 1/12*h**6 - 7 + 0*h**5. Determine j, given that z(j) = 0.
-1, 1, 2
Let l(h) be the first derivative of -8/3*h**3 - 4*h + 8*h**2 + 12/5*h**5 - 4*h**4 + 3. Factor l(q).
4*(q - 1)**2*(q + 1)*(3*q - 1)
Let 2*g**2 - 32/3 - 2/3*g**4 - 16/3*g**3 + 44/3*g = 0. Calculate g.
-8, -2, 1
Let a(r) be the second derivative of -r**7/7140 - r**6/3060 - 5*r**3/6 - 18*r. Let c(n) be the second derivative of a(n). Solve c(x) = 0.
-1, 0
Let n = -23 + 11. Let y = 21 + n. Factor 10*f**2 + 15*f - 36*f**2 - y + f**3 + 19*f**2.
(f - 3)**2*(f - 1)
Let h be 1*(-2)/16 + 1064*(-7)/(-2240). Suppose h - 4*a - 1/5*a**5 + 2/5*a**4 + 11/5*a**3 - 8/5*a**2 = 0. What is a?
-2, 1, 4
Let v be (-9)/(2/7 + 1008/(-441)). Factor -v + 3/2*l + 9/2*l**2 - 3/2*l**3.
-3*(l - 3)*(l - 1)*(l + 1)/2
Solve -8/9*c**3 - 2/9*c**4 + 0 + 14/9*c**2 + 20/9*c = 0 for c.
-5, -1, 0, 2
Let u(g) = -10*g**2 + 34*g - 94. Let n(p) = 0*p + 2*p + p**2 - p - 1. Let w(i) = -6*n(i) - u(i). Find b, given that w(b) = 0.
5
Let o be 3 + (85/(-1))/(-5). Find k such that -8 - o*k - 8*k**3 + 28*k**3 + 2*k**2 - 9*k**2 + 15*k**2 = 0.
-1, -2/5, 1
Let p(d) be the third derivative of -d**8/23520 + d**7/2205 - d**6/630 + 7*d**4/24 + 6*d**2. Let q(l) be the second derivative of p(l). Factor q(y).
-2*y*(y - 2)**2/7
Let s be (-4)/30*2/24*-2. Let d(h) be the second derivative of 1/63*h**7 + 0 - 4*h - 1/30*h**5 + 0*h**2 - s*h**6 + 1/18*h**4 + 0*h**3. Factor d(z).
2*z**2*(z - 1)**2*(z + 1)/3
Let k(o) be the third derivative of o**6/15 - 23*o**5/30 - o**4/3 + 23*o**3/3 + 56*o**2. Factor k(v).
2*(v - 1)*(v + 1)*(4*v - 23)
Let k(f) = -5*f**2 - 45*f + 40. Let i(w) = 5*w**2 + 44*w - 41. Let h(q) = 5*i(q) + 4*k(q). Factor h(j).
5*(j - 1)*(j + 9)
Let o = 148 + -64. Suppose 11*r + 84 = o. Find d such that r*d - 2/9*d**2 + 0 = 0.
0
Let z(j) be the third derivative of -1/630*j**7 - 1/120*j**6 - 17*j**2 + 0 + 0*j + 0*j**3 - 1/90*j**5 + 0*j**4. Determine y, given that z(y) = 0.
-2, -1, 0
Let g(q) be the first derivative of -5*q + 0*q**2 + 1/40*q**5 + 1/12*q**3 - 1/12*q**4 - 4. Let a(l) be the first derivative of g(l). Let a(r) = 0. What is r?
0, 1
Suppose 14*p + 85*p - 127 = 170. Factor -3/5*m**4 - 15 - 24/5*m**p - 18/5*m**2 + 24*m.
-3*(m - 1)**2*(m + 5)**2/5
Let w(f) be the third derivative of 0*f**3 + 0 + 46*f**2 + 0*f + 3/8*f**4 - 1/20*f**5. Factor w(q).
-3*q*(q - 3)
Factor 2/3*d**2 + 16*d + 96.
2*(d + 12)**2/3
Let h(q) be the third derivative of q**7/35 + 11*q**6/60 + q**5/5 - q**4 - 8*q**3/3 + 4*q**2 - 25*q. Suppose h(g) = 0. What is g?
-2, -2/3, 1
Solve -x**4 - 4*x - 6*x**3 + 1 - 1 + 27*x + 9*x = 0.
-4, 0, 2
Let f(o) = -8*o - 3. Let u(d) = 12*d + 4. Let p(k) = -8*f(k) - 5*u(k). Let g be p(-1). Solve -3/4*n**4 + 0 - 3/4*n**5 + g*n + 3/4*n**2 + 3/4*n**3 = 0.
-1, 0, 1
Let x(f) be the third derivative of f**5/20 + 91*f**4/8 + f**2 + 223*f. Find l, given that x(l) = 0.
-91, 0
Suppose -21*n + 22*n = 4. Factor -20*j**3 - n*j**2 + 0*j - 12*j**4 + 0*j + 4*j.
-4*j*(j + 1)**2*(3*j - 1)
Let w(o) be the second derivative of -o**4/60 + 19*o**3/30 - 6*o**2 - 2*o. Let w(n) = 0. Calculate n.
4, 15
Let z(t) = 3*t**4 + 21*t**3 + 23*t**2 - 357*t + 298. Let q(l) = 3*l**4 + 18*l**3 + 22*l**2 - 357*l + 299. Let x(s) = 4*q(s) - 5*z(s). Factor x(n).
-3*(n - 2)*(n - 1)*(n + 7)**2
Let z(f) = -f**3 + 6*f**2 + 5*f + 14. Let j be z(7). Let d(y) be the second derivative of -8/21*y**3 + 5/42*y**4 + 4/7*y**2 + 4*y - 1/70*y**5 + j. Factor d(q).
-2*(q - 2)**2*(q - 1)/7
Let r(o) be the third derivative of o**7/210 + 7*o**6/24 + 11*o**5/20 - 35*o**4/24 - 17*o**3/3 + 902*o**2. Factor r(g).
(g - 1)*(g + 1)**2*(g + 34)
Suppose 3/5*g**4 - 6/5*g**2 - 12/5*g**3 + 27/5 + 36/5*g = 0. What is g?
-1, 3
Solve -1/4*z**2 - 25 - 5*z = 0 for z.
-10
Let w(c) be the first derivative of c**4/7 - 4*c**3/3 + 22*c**2/7 - 20*c/7 + 36. Factor w(d).
4*(d - 5)*(d - 1)**2/7
Let k(r) be the second derivative of -1/90*r**5 + 0*r**3 + 1/54*r**4 + 4*r + 0 + 0*r**2. Find f such that k(f) = 0.
0, 1
Factor -145 - 34*t + 21*t**2 + 286 - 2*t**4 + 9*t**2 - 129 - 6*t**3.
-2*(t - 1)**3*(t + 6)
Let g be (-23)/(-4) - (63/(-28) - -2). Factor 2*z**3 + 21 - 13 - 10 - 6*z**2 + g*z.
2*(z - 1)**3
Let n be -2*(-12)/(-8) - (-10 - 3). Let p be (-4)/(-4*5/n). Let 0*j**3 + 0*j - 2/13*j**4 + 2/13*j**p + 0 = 0. What is j?
-1, 0, 1
Let c be (-328)/(-4018)*(-6 + -1) - (-51)/28. Factor -150*n - c*n**3 + 115/4*n**2 - 180.
-5*(n - 12)**2*(n + 1)/4
Let g be (-5 - 0) + 723*3/432. Let l(p) be the third derivative of 11*p**2 + 0*p**3 + 0 + 0*p + 1/160*p**6 + 1/48*p**4 + g*p**5. What is o in l(o) = 0?
-1, -2/3, 0
Let m(i) be the second derivative of -i**7/504 - i**6/24 + 5*i**4/4 - 12*i. Let u(k) be the third derivative of m(k). Factor u(g).
-5*g*(g + 6)
Suppose -2*x = 3*l - 8, 0*x = 4*l - 5*x - 3. Solve -217*i**l - 30 - 25*i + 427*i**2 - 215*i**2 = 0.
-3, -2
Let a be (2 - (-14)/(-4))/((-1155)/28). Let c(i) be the first derivative of 1/11*i**2 - 1/22*i**4 + 0*i + 5 - 2/33*i**3 + a*i**5. Suppose c(k) = 0. What is k?
-1, 0, 1
Suppose 2*u = -4*i + 24, 0 = 5*u - 2*u - 4*i + 14. Suppose -c = -b - 3, 0*c + 4*b = u*c - 6. Determine j so that -4 + 3*j + j**2 + 3*j**2 - c*j**2 = 0.
-4, 1
Factor -1/3*t**3 - 13*t - 7*t**2 - 19/3.
-(t + 1)**2*(t + 19)/3
Let u = 135 + -132. Suppose -1/2*g**u - 2*g + 0 - 2*g**2 = 0. What is g?
-2, 0
Let y(i) be the second derivative of -3/40*i**5 + 0 + 0*i**2 - 12*i + 3/4*i**4 - 5/4*i**3. Factor y(j).
-3*j*(j - 5)*(j - 1)/2
Let h = -33 + 69. Let o be (-9)/h + 1/8*2. Solve -2/9*x + 4/9*x**2 + o - 2/9*x**3 = 0.
0, 1
Let w(l) be the first derivative of 2*l**5/35 - l**4/7 - 8*l**3/21 + 2*l**2/7 + 6*l/7 + 12. Factor w(m).
2*(m - 3)*(m - 1)*(m + 1)**2/7
Suppose 3*i - 9 = -2*x, 40 = 3*x - i + 32. Solve 6*p**2 + 4*p**x + 2/3*p**4 + 0 + 8/3*p = 0.
-4, -1, 0
Let v be 0*(-4)/30*(-42)/28. Factor 4/13*z - 2/13*z**2 + v.
-2*z*(z - 2)/13
Let g(j) be the second derivative of 0 + 2/11*j**2 - 1/110*j**5 + 1/33*j**3 - 1/33*j**4 - 3*j. Factor g(c).
-2*(c - 1)*(c + 1)*(c + 2)/11
Let y(q) be the second derivative of -q**6/50 + 18*q**5/25 - 22*q**4/5 - 336*q**3/5 - 1176*q**2/5 - 233*q. Determine g, given that y(g) = 0.
-2, 14
Let p = -2097/8 + 6347/24. Find b such that -1/3*b**4 - 13/3*b - p*b**3 - 4/3 - 5*b**2 = 0.
-4, -1
Let f be (-5)/((-20)/6)*2. Let q = 2 - 0. Solve -f - 4*l**3 - 12*l - 4*l**3 + q - 1 - 18*l**2 = 0 for l.
-1, -1/4
Let y(s) = s**2 + 7*s + 2. Let z(d) = -d**2 - d - 7. Let u be z(0). Let b be y(u). Factor 3 + 3*r**2 - b*r + 11*r - 3.
3*r*(r + 3)
Let s be 20/6 - 4/(-6). Suppose -5 - 15 = -4*r - 2*b, 4*r - 14 = b. Find p such that -3*p**4 - 8*p + 4*p - 4*p**2 + r*p**3 + 7*p**s = 0.
-1, 0, 1
Let h(z) be the second derivative of z**6/1980 + z**5/330 - 3*z**3/2 + 11*z. Let o(m) be the second derivative of h(m). What is w in o(w) = 0?
-2, 0
Factor 392*l**5 + 2*l**3 - 4*l**4 - 389*l**5 - 4*l**3 + 3*l**3.
l**3*(l - 1)*(3*l - 1)
Let k be (-2)/(-2 - 0) - 2 - 13. Let g be (-4)/k + (-48)/(-28). Let -1/4*y**3 - 1/4*y + 1/2*y**g + 0 = 0. What is y?
0, 1
Let p(h) be the third derivative of -3*h**8/112 - 31*h**7/70 + 23*h**6/40 + 11*h**5/20 - 86*h**2. What is y in p(y) = 0?
-11, -1/3, 0, 1
Find a, given that 112*a - 48*a**3 - 31*a - 88*a**2 + 4*a**5 + 91*a + 19 + 32*a**4 - 91 = 0.
-9, -2, 1
Let s = 4 + 1. Let c(f) = 3*f**2. Let b(u) = 2*u + 102*u**2 - 108*u**2 - 2*u. Let v(d) = s*c(d) + 2*b(d). Factor v(a).
3*a**2
Suppose 2*v + w = -0*v - 1, -2*v + 3*w = -19. What is p in 144*p - p**2 - 36*p**3 - 70*p**2 - 65*p**v + 48 + 21*p**4 + 40*p**2 = 0?
-2, -2/7, 2
Let m(j) be the first derivative of j**5/540 - 5*j**4/108 + 25*j**3/54 - 5*j**2/2 + 9. Let d(p) be the second derivative of m(p). Solve d(z) = 0.
5
Let h(f) be the third derivative of -f**5/390 - 7*f**4/156 - 2*f**3/13 + 22*f**2. Solve h(v) = 0 for v.
-6, -1
Let w(h) = 4*h**3 - 6*h + 2. Let f(m) = -5*m**3 + m**2 + 5*m - 1. Let l(g) = -3*f(g) - 4*w(g). Suppose l(k) = 0. What is