Let i(l) = -2*p(l) - 5*q(l). Factor i(r).
-5*(r + 1)**2*(r + 11)
Let g(j) = j**3 - 16*j**2 + 14*j + 35. Let t be g(15). Factor t - 12 + 4*z**2 - 22*z + 188 - 34*z.
4*(z - 7)**2
Suppose -6 + 0 = -4*g + 3*h, -g + 13 = 5*h. What is v in -2 - 4*v**5 + g - 40*v**3 + 40*v**2 - 5*v - 15*v + 3 + 20*v**4 = 0?
1
Let h(c) = -38*c + 5. Let l be h(1). Let j be l/(-12) + 1 + (-6)/8. Solve 0 + 1/2*w**2 + 1/4*w + 1/4*w**j = 0 for w.
-1, 0
Let y(q) be the second derivative of -1/100*q**5 - 1/30*q**4 + 0*q**2 + 0 - 1/30*q**3 + 13*q. Determine m, given that y(m) = 0.
-1, 0
Suppose -27*y + 690 = 55*y + 56*y. Determine h, given that -2/5*h - 2/5*h**y + 4/5*h**3 - 4/5*h**2 + 2/5*h**4 + 2/5 = 0.
-1, 1
Let z be 2*1/(-2) - -4. Let c = -21414 + 21416. Solve 0 + 7/2*n**z + 0*n - n**c = 0 for n.
0, 2/7
Find i, given that -242/9*i - 2/9*i**3 - 44/9*i**2 + 0 = 0.
-11, 0
Let q(y) be the third derivative of y**8/5040 + y**7/630 + y**6/270 - 11*y**4/24 + y**2. Let j(z) be the second derivative of q(z). Factor j(t).
4*t*(t + 1)*(t + 2)/3
Let m(w) = -2*w**4 - 7*w**3 + 7*w**2 - 5. Let d(g) = 9*g**4 + 36*g**3 - 36*g**2 + 24. Let l(x) = 5*d(x) + 24*m(x). Let l(h) = 0. What is h?
0, 2
Let z = -9/4 + 5/2. Let m(j) be the first derivative of 2/5*j**5 - 3/4*j**4 + 2/3*j**3 - 1 + 0*j - 1/12*j**6 - z*j**2. Find l such that m(l) = 0.
0, 1
Let j(v) = v**2 + v + 1. Let c(k) be the first derivative of 5*k**3/3 - 17*k**2/2 + 53*k - 9. Let s(r) = -2*c(r) + 6*j(r). Suppose s(l) = 0. Calculate l.
5
Let n be 9/(-18) + 5/2. Suppose n + 10 = 4*v. Factor -4*t - 5*t - 18*t**2 + t + 4 - 10*t**2 - 16*t**v.
-4*(t + 1)**2*(4*t - 1)
Let l be 11/(-44) - (-26 + 25). Factor 3/2*s**2 - 3/4*s + l*s**3 - 3/2.
3*(s - 1)*(s + 1)*(s + 2)/4
Let c be 53/28 + (-24)/(-96). Find n such that 27/7*n**3 - 3*n**2 + 6/7*n + 3/7*n**5 - c*n**4 + 0 = 0.
0, 1, 2
Suppose 12*p = 10*p + 10. Suppose 0 = -0*c + p*c - 2*c. Let c - 4/5*x + 2/5*x**2 = 0. Calculate x.
0, 2
Let o be ((44/4)/44)/(7/8). Let p(n) be the first derivative of 1/7*n**2 - 2/21*n**3 + o*n - 1/14*n**4 - 2. Factor p(u).
-2*(u - 1)*(u + 1)**2/7
Let u(b) = -320*b - 12160. Let t be u(-38). Factor t + 10/13*h**4 + 0*h + 2/13*h**2 + 12/13*h**3.
2*h**2*(h + 1)*(5*h + 1)/13
Let l(i) = -i**5 - i**2 + i - 1. Let u(h) = -430*h**5 + 216*h**4 - 36*h**3 + 4*h**2 - 2*h + 2. Let f(k) = 4*l(k) + 2*u(k). Factor f(d).
-4*d**2*(6*d - 1)**3
Let v be (3/2)/((-7)/(-14)). Let c = v + 7. Factor -16*a**4 - c*a**2 - 6*a**2 - 4*a - 33*a**3 - 4*a**5 + 9*a**3.
-4*a*(a + 1)**4
Let a(p) be the second derivative of -p**7/2 - 10*p**6 - 1029*p**5/20 - 227*p**4/2 - 122*p**3 - 60*p**2 - 2*p - 23. Let a(x) = 0. What is x?
-10, -2, -1, -2/7
Suppose y = -v + 1, -v - 98*y = -100*y - 10. Factor 0 - 10/9*p**2 + 8/9*p**3 + 4/9*p - 2/9*p**v.
-2*p*(p - 2)*(p - 1)**2/9
Let i(y) be the first derivative of 5 - 9*y + 1/66*y**4 + 4/11*y**2 + 4/33*y**3. Let r(h) be the first derivative of i(h). Factor r(x).
2*(x + 2)**2/11
Let d(a) be the third derivative of a**7/1470 - a**6/840 - a**5/210 + 134*a**2. What is l in d(l) = 0?
-1, 0, 2
Factor 23 - 19 + 0*x + 8*x**2 - 18*x.
2*(x - 2)*(4*x - 1)
Let l(i) = 5*i + 85. Let w be l(-17). Let v(f) be the third derivative of -1/90*f**5 + 0*f - 5*f**2 + 0 + 1/36*f**4 + w*f**3. Find n, given that v(n) = 0.
0, 1
Let p = 65 - 60. Let m(k) = 7*k**3 + 6*k**2 + 6*k + 2. Let d(j) = 8*j**3 + 6*j**2 + 6*j + 2. Let u(o) = p*d(o) - 6*m(o). Factor u(z).
-2*(z + 1)**3
Let 136 - 33*t**2 - t - 145 + 34*t**2 + t = 0. Calculate t.
-3, 3
Let z = 2/925 - -3678/10175. Solve z*r**3 + 2/11 - 4/11*r - 2/11*r**4 + 0*r**2 = 0 for r.
-1, 1
Let z be 55/4 + 14 + (-63)/4. Let c(t) be the second derivative of 0 + 3/7*t**3 + z*t - 2/7*t**2 - 1/14*t**5 + 1/7*t**4. Factor c(l).
-2*(l - 2)*(l + 1)*(5*l - 1)/7
Let q(a) be the third derivative of -2*a**2 - 1/120*a**5 + 0 - 1/3*a**3 + 0*a - 1/12*a**4. Factor q(n).
-(n + 2)**2/2
Let o(w) be the third derivative of -1/60*w**5 + 0 - 1/12*w**4 + 1/2*w**3 + 0*w + 25*w**2. Suppose o(a) = 0. Calculate a.
-3, 1
Let y(q) = -44*q**2 - 57*q**2 + 74*q**2 - 72*q - 45. Let g(a) = -7*a**2 - 18*a - 11. Let p(t) = -15*g(t) + 4*y(t). Factor p(c).
-3*(c + 1)*(c + 5)
Let f(n) = 3 + 32*n + n**3 - 13*n**2 - 32*n. Let z be f(13). Factor -2*i**2 + 3 - z + 5 - 3.
-2*(i - 1)*(i + 1)
Let d(m) be the first derivative of -m**6/4 + 3*m**5/5 - m**4/8 - m**3/2 + 5*m - 3. Let x(i) be the first derivative of d(i). Find o such that x(o) = 0.
-2/5, 0, 1
Suppose 4*q = 3*n - 44, -3*n + 0*n = q - 19. Suppose -f + 3*f = n. Factor 3 - 9*r**2 + 6*r + 4 - 7 + 3*r**f.
3*r*(r - 1)**2*(r + 2)
Let f(s) be the second derivative of s**4/30 - 8*s**3/3 + 348*s. Suppose f(q) = 0. Calculate q.
0, 40
Let j(z) be the second derivative of -3*z**5/20 + 23*z**4/2 - 286*z**3 + 1452*z**2 - 252*z. Factor j(w).
-3*(w - 22)**2*(w - 2)
Let a(f) be the third derivative of f**8/1344 - f**7/168 - 7*f**6/240 - f**5/120 + 13*f**4/96 + 7*f**3/24 + 25*f**2 + 2. Find k such that a(k) = 0.
-1, 1, 7
Let v(f) be the second derivative of -3*f**5/20 - 5*f**4/2 - 25*f**3/2 + 165*f. Let v(p) = 0. Calculate p.
-5, 0
Let g(b) be the second derivative of -3/10*b**5 + 0*b**2 + 0 + 0*b**6 + 1/2*b**3 + 1/14*b**7 + 12*b + 0*b**4. Factor g(j).
3*j*(j - 1)**2*(j + 1)**2
Let f(a) = 10*a**4 + 28*a**3 + 90*a**2 + 108*a + 44. Let q(w) = 12*w**4 + 28*w**3 + 90*w**2 + 109*w + 45. Let m(p) = 5*f(p) - 4*q(p). Factor m(n).
2*(n + 1)**2*(n + 2)*(n + 10)
Let n(m) = -2*m - 4. Let i be n(-2). Let z(h) be the third derivative of -2/9*h**3 + 0 - 7/36*h**4 + 4*h**2 + i*h - 1/18*h**5. Find y, given that z(y) = 0.
-1, -2/5
Let l(i) = -3*i**3 + i - i**3 + 0*i**4 + 2*i**2 + i + 3 - i**4. Let y(p) = p**3 - p**2 - 1. Let g be 14/18 + (-2)/(-9). Let n(v) = g*l(v) + 2*y(v). Factor n(j).
-(j - 1)*(j + 1)**3
Let l(o) be the first derivative of -o**6/180 - o**5/30 - 5*o**4/72 - o**3/18 - 27*o + 7. Let d(x) be the first derivative of l(x). Factor d(v).
-v*(v + 1)**2*(v + 2)/6
Let g(f) = -190 + 18*f - 8*f**2 + 175 + f**2. Let n(o) = 190*o**2 - 485*o + 405. Let s(i) = -55*g(i) - 2*n(i). Find q, given that s(q) = 0.
1, 3
Let p be (-5)/(-21)*(-168)/(-70). Factor 0*r**3 + 4/7*r**4 + 2/7*r - 2/7*r**5 + 0 - p*r**2.
-2*r*(r - 1)**3*(r + 1)/7
Let w(y) = -17*y**3 + 16*y**2 + 7*y - 10. Let g(q) = -11*q**3 + 11*q**2 + 5*q - 7. Let j(s) = -8*g(s) + 5*w(s). Factor j(a).
(a - 3)*(a + 1)*(3*a - 2)
Let f(w) be the first derivative of w + 0*w**2 - 1/3*w**5 + 1/9*w**4 + 0*w**3 + 5/18*w**6 - 5. Let a(m) be the first derivative of f(m). Solve a(q) = 0 for q.
0, 2/5
Let s = -12 - -7. Let a = s + 10. Find h such that -2*h**2 - a - 3 + 0 - 54*h + 46*h = 0.
-2
Let a = -211/4 + 1099/20. Let v be (1 + -9)*-2*6/30. Let -a*t**2 + 9/5*t**3 + 4/5 - v*t = 0. What is t?
-1, 2/9, 2
Suppose 9*b - 133 = -97. Let o(t) be the first derivative of 0*t + 0*t**2 - 3 - 4/3*t**3 - 1/2*t**b. Factor o(q).
-2*q**2*(q + 2)
Suppose 180 = 7*o + 8*o. Let c(q) be the third derivative of 1/2*q**3 + 0 + 1/4*q**4 - 1/70*q**7 - 1/20*q**6 + 0*q + 0*q**5 - o*q**2. Factor c(t).
-3*(t - 1)*(t + 1)**3
What is y in 24*y**2 + 5*y**3 - 40*y - 60 + 40*y**2 - 39*y**2 = 0?
-6, -1, 2
Let q(j) = 5*j**2 - 29*j - 15. Let d(n) = n**2 + n + 1. Suppose 2 = -4*g + r, -r + 0 = 2*g + 4. Let y(x) = g*q(x) + d(x). Suppose y(m) = 0. What is m?
-1/2, 8
Let g = -179 - -175. Let f be g + (37/6)/((-9)/(-6)). Solve -1/9*z**5 + 0 + 5/9*z**2 + 2/9*z + 1/3*z**3 - f*z**4 = 0 for z.
-1, 0, 2
Let b(t) = t**2 - t - 4. Let k be ((-18)/(-12))/((3/4)/(-1)). Let m be b(k). Factor 3/2*q**m - 1/2*q**4 + q + 0*q**3 + 0.
-q*(q - 2)*(q + 1)**2/2
Let p be (-42)/24*2/(-7). What is s in -p*s**2 + s - 1/4*s**3 + 2 = 0?
-2, 2
Let o(k) be the second derivative of -k**7/21 - 4*k**6/15 - 3*k**5/10 + 2*k**4/3 + 4*k**3/3 - 39*k. Solve o(t) = 0.
-2, -1, 0, 1
Suppose 3*d - 6*d + 25 = -5*z, 3*d - 19 = 2*z. Suppose -3*t = -d - 1. Suppose 4*k - 2*k**3 - 46*k**5 + 44*k**5 + 2*k**t + 4*k**2 - 6*k**4 = 0. Calculate k.
-2, -1, 0, 1
Factor 0 - 49/2*a**4 + 166*a**2 - 280*a**3 - 24*a.
-a*(a + 12)*(7*a - 2)**2/2
Let s be 35*(-4)/(-72)*-3 + 1*6. Factor 1/6*g + 0*g**2 + 0 - s*g**3.
-g*(g - 1)*(g + 1)/6
Let h(q) = -q - 38. Let n be h(-40). Factor -6/11*i**n + 0 + 2/11*i**3 + 4/11*i.
2*i*(i - 2)*(i - 1)/11
Let a(k) = 6*k**2 - 40*k + 8. Let i(t) = -t**2 - 3*t - 1. Let p(n) = a(n) + 8*i(n). Factor p(