a**2 + 12.
-(a - 24)*(a + 1)/2
Let a(o) be the first derivative of -o**3/24 + 7*o**2/16 - 5*o/4 - 160. Factor a(z).
-(z - 5)*(z - 2)/8
Let t(n) be the first derivative of n**4/10 - 4*n**3/3 - 23*n**2/5 - 24*n/5 + 855. Determine y, given that t(y) = 0.
-1, 12
Let q(h) = -2 - 4*h**2 + 3 - 10*h**2 - h + 15*h**2. Let r(g) = -g**2 - 4*g + 4. Let i(c) = 4*q(c) - r(c). Factor i(b).
5*b**2
Let m(h) be the first derivative of 3*h**4/8 - 3*h**3/2 - 39*h**2/4 + 45*h/2 + 79. Determine g so that m(g) = 0.
-3, 1, 5
Let i be (252/35)/((-9)/30). Let g = i + 29. Find c such that -10*c + c**2 + 3*c + g*c + 4*c = 0.
-2, 0
Let y(r) be the second derivative of 3*r**5/40 - 25*r**4/8 + 42*r**3 - 108*r**2 + 12*r - 3. Suppose y(a) = 0. Calculate a.
1, 12
Suppose -195 + 165 = -10*z. Let a(q) be the first derivative of 0*q - 2/11*q**2 + 2 - 3/22*q**4 + 10/33*q**z. Solve a(d) = 0 for d.
0, 2/3, 1
Let f(m) = -m**4 + 3*m**3 + 9*m**2 - 9. Let a(z) = z**2 - 1. Let c(g) = -18*a(g) + 2*f(g). Factor c(t).
-2*t**3*(t - 3)
Determine n so that -326/3*n + 110*n**2 + 2/3*n**4 - 38*n**3 + 36 = 0.
1, 54
Factor 6*s**2 + 192 - 24*s**3 + 135*s + 89*s - 3*s**4 - s**4 + 6*s**2.
-4*(s - 3)*(s + 1)*(s + 4)**2
Suppose 0 = 2*n + 2*n - 244. Suppose -23*g + 0*g + 46 = 0. Solve 75/2*y**2 + n*y**3 + 2*y + 55/2*y**4 - g = 0 for y.
-1, -2/5, 2/11
Let d(q) = q**3 - q**2 - q + 1. Let g(t) = 2*t**2 - 12*t + 4. Let z(s) = -4*d(s) - g(s). Factor z(l).
-2*(l - 2)*(l + 2)*(2*l - 1)
Let y be (-1122)/(-66)*(-4)/(-34). Let t(f) be the third derivative of 0 - 3*f**y + 1/40*f**4 + 0*f**3 + 1/100*f**6 + 3/100*f**5 + 0*f. Factor t(n).
3*n*(n + 1)*(2*n + 1)/5
Let c(w) be the first derivative of -w**3/3 - 4*w**2 - 9*w + 5. Let z be c(-6). Factor -6*s**4 + z*s**3 + 9*s**4 - s**5 + s**2 + 2*s**5.
s**2*(s + 1)**3
Let v = 3429/4 + -3423/4. What is u in -1/2*u**3 + 0 - u - v*u**2 = 0?
-2, -1, 0
Suppose -38*l = -33*l. Factor l*s**3 - 8*s**2 - 10*s - 2*s**3 + 2*s.
-2*s*(s + 2)**2
Let t be 16/(-6)*81/36. Let i be (-51)/(-18) - (1/1)/t. Factor -15/4*u + 15/4*u**i - 3/2 + 3/2*u**2.
3*(u - 1)*(u + 1)*(5*u + 2)/4
Let r(q) be the third derivative of q**5/60 + 29*q**4/4 + 2523*q**3/2 + 3*q**2 - 6*q. Solve r(x) = 0 for x.
-87
Let b(k) be the first derivative of k**6/14 - 18*k**5/7 + 75*k**4/2 - 280*k**3 + 2205*k**2/2 - 2058*k - 129. Solve b(j) = 0.
2, 7
Solve -7/2*t + 1/4*t**2 - 95/4 = 0.
-5, 19
Let w(v) be the second derivative of 23/4*v**3 - 19*v + 3/8*v**5 + 0 - 11/4*v**4 - 9/2*v**2. Find m, given that w(m) = 0.
2/5, 1, 3
Let l be 5/(25/(-5)) - -6. Determine z, given that -8*z**2 + 4*z**2 + 9*z**2 - l = 0.
-1, 1
Let w = -5/809 + 207933/3236. Let g = -59 + w. Factor g*t**2 + 0 + 3/2*t + 15/4*t**3.
3*t*(t + 1)*(5*t + 2)/4
Let t(s) = 6*s**2 - 4*s + 2. Let o = -83 - -80. Let u(x) = x + 10. Let k be u(-8). Let b(f) = f**3 + 6*f**2 - 4*f + 3. Let r(v) = k*b(v) + o*t(v). Factor r(g).
2*g*(g - 2)*(g - 1)
Let x(z) = -2*z**3 - 239*z**2 + 116*z - 478. Let d be x(-120). Factor 8/7*k + 0 + 2/7*k**d.
2*k*(k + 4)/7
Let i be (-2 - (-420)/(-8))/(5/10). Let g = 109 + i. Factor 0*s**3 + 0*s + 0*s**2 - 2/15*s**4 + 2/15*s**5 + g.
2*s**4*(s - 1)/15
Let g(v) be the third derivative of 0*v**6 - 2/945*v**7 + 1/135*v**5 + 0 + 0*v**3 + 1/108*v**4 - 1/1512*v**8 - 12*v**2 + 0*v. Factor g(n).
-2*n*(n - 1)*(n + 1)**3/9
Let s be (2/4)/((-2)/(-32)). Let a be 26/(-112) - (-3)/s. Solve 3/7*z - 1/7 + a*z**3 - 3/7*z**2 = 0.
1
Let c(f) = -9*f**3 - 24*f**2 + 6*f - 12. Let y(t) = t**3 + t**2 - t + 2. Let g(w) = c(w) + 6*y(w). Determine s, given that g(s) = 0.
-6, 0
Let s(u) be the third derivative of 7*u**6/288 - u**5/8 - 5*u**4/24 + u**3/6 + 35*u**2. Let k(q) be the first derivative of s(q). Factor k(t).
5*(t - 2)*(7*t + 2)/4
Factor -10*h**2 - 80 - 45 + 60*h - 10*h + 5*h**2.
-5*(h - 5)**2
Let k(w) be the second derivative of -w**7/4620 + w**5/165 + w**3/2 + 29*w. Let x(y) be the second derivative of k(y). Solve x(g) = 0.
-2, 0, 2
Let x be (-5)/35 + (-72)/(-14). Suppose -2*g - 4*f + 28 = 0, 2*f = -5*g + 25 + x. Suppose -6*l**3 - 3*l**5 - 5*l**3 - 9*l**g - 3*l**2 + 2*l**3 = 0. Calculate l.
-1, 0
Factor -22*m**2 + 4*m**3 - 2 + 24*m**2 - 11*m - 2*m**3 + 9*m.
2*(m - 1)*(m + 1)**2
Let t(i) be the second derivative of i**9/9072 - i**8/5040 - i**7/2520 + i**6/1080 + 5*i**3/3 - 7*i. Let d(k) be the second derivative of t(k). Factor d(z).
z**2*(z - 1)**2*(z + 1)/3
Suppose -4*q + 7*q - g - 250 = 0, 0 = -3*q + 4*g + 235. Determine t, given that 70 + 2*t**2 - 147 - 8*t + q = 0.
2
Let u(a) be the second derivative of a**6/15 - a**5 + 4*a**4 + 10*a**3/3 - 25*a**2 + 59*a. Factor u(p).
2*(p - 5)**2*(p - 1)*(p + 1)
Let x(i) = -18*i**3 + 45*i**2 - 36*i + 9. Suppose 0 = -9*s + 10*s + 3. Let r(m) = 35*m**3 - 91*m**2 + 73*m - 17. Let q(h) = s*r(h) - 5*x(h). Factor q(c).
-3*(c - 2)*(c - 1)*(5*c - 1)
Suppose 33/2*q**4 - 8 + 5/2*q**5 - 59/2*q**3 + 27*q - 17/2*q**2 = 0. What is q?
-8, -1, 2/5, 1
Let i(g) be the second derivative of -g**6/330 - g**5/110 + g**4/132 + g**3/33 + g - 5. Solve i(j) = 0 for j.
-2, -1, 0, 1
Let w(p) = -10*p**2 + 9*p**2 - 7 + 5 + 3. Let z(q) = q**3 - 8*q**2 - 2*q + 7. Let f = -16 - -30. Let o(v) = f*w(v) - 2*z(v). Factor o(g).
-2*g*(g - 2)*(g + 1)
Let m be (-3 - (-14)/12)*(-27)/174. Let z = -1/29 + m. Suppose z*r - 1/4*r**2 + 1/2 = 0. What is r?
-1, 2
Let d be -2*(26/(-4) - -4). Let 8*r**2 - 38*r**5 + 4*r**3 + 75*r**d - 38*r**5 - 2*r**4 = 0. Calculate r.
-2, 0, 2
Let o(s) be the second derivative of -s**5/15 - 5*s**4/12 - s**3 + 8*s**2 - 6*s. Let z(i) be the first derivative of o(i). Factor z(w).
-2*(w + 1)*(2*w + 3)
Let j = -13 + 18. Suppose -75*m - 4 = 74*m - 151*m. Solve -3/2*h + 2*h**3 + 0*h**4 - 1/2*h**j - h**m + 1 = 0 for h.
-2, -1, 1
Let f(g) = -13*g**2 + 13*g + 19. Let m(z) = 6*z**2 - 6*z - 9. Suppose 2*h = h + 7. Let l(d) = h*m(d) + 3*f(d). Factor l(t).
3*(t - 2)*(t + 1)
Suppose 0*l + 1/3*l**5 + 0 + 0*l**3 - 7/3*l**4 + 0*l**2 = 0. Calculate l.
0, 7
Let w(n) be the second derivative of -n**4/60 - n**3/10 + n**2 - 17*n - 1. Factor w(s).
-(s - 2)*(s + 5)/5
Suppose -5*j - 259 = -v, -j - 221 = -v + 18. Let s be ((-8)/(-10))/(v/65). Suppose 0 + 0*i - 2/9*i**2 + 2/9*i**3 - 2/9*i**5 + s*i**4 = 0. Calculate i.
-1, 0, 1
Let y(k) be the first derivative of -k**5/270 - k**4/108 + 2*k**3/27 + 17*k**2 + 22. Let c(w) be the second derivative of y(w). Suppose c(t) = 0. What is t?
-2, 1
Suppose 0*x + x = 4*a - 26, 0 = -a + 5*x + 16. Factor -a*v**2 - 13 + 14*v - 2 - 5 + 20*v.
-2*(v - 5)*(3*v - 2)
Let r be (48/(-10))/((-6)/200). Suppose -a = 3*a - r. Determine b, given that 8*b**5 + 4*b**5 + a*b**3 + 20*b**4 - 32*b**3 = 0.
-1, -2/3, 0
Suppose -5*k = 18*k + 7130. Let w = 313 + k. Factor -1/5*a**2 + 1/5 - 1/5*a**w + 1/5*a.
-(a - 1)*(a + 1)**2/5
Let w(b) = 2*b**3 + 20*b**2 - 4*b + 18. Let p(j) = -629*j - 1 - j**2 + 318*j + 311*j. Let v(n) = -36*p(n) - 2*w(n). Solve v(d) = 0.
-2, 0, 1
Suppose 0 = 10*h + 4*h - 84. Let l(k) be the first derivative of 0*k + 8*k**3 - 8*k**2 - h - 3*k**4 + 2/5*k**5. Factor l(n).
2*n*(n - 2)**3
Factor -3*j + 1 - 3/2*j**3 + 1/4*j**4 + 13/4*j**2.
(j - 2)**2*(j - 1)**2/4
Let d(g) = 22*g**4 + 392*g**3 + 196*g**2 + 21*g + 3. Let j(f) = 130*f**4 + 2352*f**3 + 1175*f**2 + 127*f + 17. Let k(a) = -34*d(a) + 6*j(a). Factor k(w).
2*w*(w + 24)*(4*w + 1)**2
Let a(k) be the first derivative of -1/12*k**4 + 1/6*k**2 + 6 + 1/9*k**3 - 1/15*k**5 + 0*k. Factor a(d).
-d*(d - 1)*(d + 1)**2/3
Let m(q) be the second derivative of -q**4/84 + 33*q**3/14 - q + 35. Suppose m(x) = 0. Calculate x.
0, 99
Suppose -5*j = -3*s - 5, 5*j = 2*j + 12. Let n(h) = h**3 - 5*h**2 + h - 2. Let z be n(s). Factor -1/3*d**4 + 5/3*d**z - 7/3*d**2 + d + 0.
-d*(d - 3)*(d - 1)**2/3
Let u(h) be the first derivative of 9/4*h**2 - 10 + 1/2*h**3 + 0*h. Factor u(g).
3*g*(g + 3)/2
Let x = 37 + -18. Factor 4*l + 25*l**3 - 48*l**3 + 2*l**2 - 4 + x*l**3 + 2*l**2.
-4*(l - 1)**2*(l + 1)
Let n(a) = a**4 - 11*a**3 - 22*a**2 - 4*a + 6. Let x(k) = -4*k - 58*k**2 + 33*k**2 + 2*k**2 + 7 - 12*k**3. Let u(s) = 7*n(s) - 6*x(s). What is i in u(i) = 0?
-1, -2/7, 0, 2
Suppose -490 + 4*z**4 + 566 - 6*z - 72*z**3 + 78*z - 80*z**2 = 0. Calculate z.
-1, 1, 19
Let -45*u**4 - 588*u**2 + 0 + 0*u + 378*u**3 + 3/2*u**5 = 0. Calculate u.
0, 2, 14
Let s be (-396)/51 - (5 - (1 + 7) - 5). Suppose s*l**2 + 14/17*l + 8/17 - 2/17*l**