**3 + 20*u + 0*u**4 - 30*u**3 + 20*u**2 + u**4 = 0.
-2, -1, 0, 2
Let c(t) be the second derivative of -10*t - 1/42*t**7 + 1/6*t**4 + 0 + 0*t**5 + 1/6*t**3 - 1/15*t**6 + 0*t**2. Factor c(w).
-w*(w - 1)*(w + 1)**3
Factor 38*k**4 - 18828*k**2 - 43200 - 47520*k - 3148*k**3 - 107*k**4 - 4*k**5 - 127*k**4.
-4*(k + 3)**3*(k + 20)**2
Suppose -2*k + 7 - 15 = 0. Let j be -2 - 6*4/k. Let -5*o**2 - 4*o + 7*o**j - 8*o**3 - 9*o**4 - 3*o**2 - 2*o**2 = 0. Calculate o.
-2, -1, 0
Let i(o) be the first derivative of -8/3*o**3 + 8/5*o**5 + 0*o**4 + 0*o + 2*o**2 + 36 - 2/3*o**6. Factor i(d).
-4*d*(d - 1)**3*(d + 1)
Let p(j) be the first derivative of 5*j**4/26 - 358*j**3/39 + 1584*j**2/13 + 648*j/13 - 765. Factor p(h).
2*(h - 18)**2*(5*h + 1)/13
Suppose -z - 4*z + 15 = 0. Suppose -15*c + 8*c**2 - 4*c**2 - 4*c + z*c = 0. What is c?
0, 4
Solve -4 + 12/7*r + 1/7*r**2 = 0 for r.
-14, 2
Let n(b) be the third derivative of -b**5/50 + b**4/12 - 2*b**3/15 - 19*b**2. Let n(o) = 0. What is o?
2/3, 1
Factor 1/4*c**2 - 2*c - 9/4.
(c - 9)*(c + 1)/4
Let w(n) = -n + 2. Let r be w(1). Let u be 1 + 3 + (-2)/r. Factor -z**4 + 3*z**2 + 0*z**u - 3*z**2.
-z**4
Let q(a) be the third derivative of 0*a**4 + 2/45*a**5 + 0 + 19*a**2 + 0*a + 0*a**3 + 1/90*a**6. Factor q(o).
4*o**2*(o + 2)/3
Factor 12*g**3 - 10*g**3 - 4*g - 5*g**2 - 3*g**3.
-g*(g + 1)*(g + 4)
Let w(b) = -5*b**2 - 56*b - 86. Let c(s) = 5*s**2 + 55*s + 85. Let y(u) = -6*c(u) - 5*w(u). Solve y(f) = 0 for f.
-8, -2
Let c(r) be the first derivative of -1/33*r**6 - 4/11*r**2 - 13/22*r**4 + 19 + 0*r - 8/11*r**3 - 12/55*r**5. Determine n, given that c(n) = 0.
-2, -1, 0
Let x(p) be the second derivative of p**3/6 - 7*p**2/2 - 20*p. Let s be x(9). Determine j so that -2/3 - 4/3*j - 2/3*j**s = 0.
-1
Let s = 1011/8 - 126. Let 1/4 + s*q + 1/8*q**2 = 0. What is q?
-2, -1
Let u(n) = 2*n + 1. Let r(b) = 3*b**2 - 2*b + 14. Let j(d) = -r(d) + 5*u(d). Factor j(h).
-3*(h - 3)*(h - 1)
Let t(b) = -b**2 + 9*b + 1. Let o be t(9). Suppose -s = -0 - o. Solve 3*z**2 + 4*z**3 + z**4 + s + z + 3*z**2 - 2*z + 5*z = 0 for z.
-1
Let s(g) be the third derivative of g**6/240 - g**5/20 - 5*g**4/16 + 4*g**3 - 10*g**2. Let o(b) be the first derivative of s(b). Factor o(l).
3*(l - 5)*(l + 1)/2
Suppose -3*t + 10 + 2 = 0, -5*r + 12 = -2*t. Factor -9*z**2 + 24*z**2 + 0*z**3 + 7 - 5*z**r - 25*z**3 + 43 + 85*z.
-5*(z - 2)*(z + 1)**2*(z + 5)
Let u(t) be the first derivative of -2*t**3/45 + 13*t**2/5 - 97. Find b such that u(b) = 0.
0, 39
Let f(w) be the first derivative of -w**4/14 + 18*w**3/7 - 96*w**2/7 - 2560*w/7 + 110. Factor f(b).
-2*(b - 16)**2*(b + 5)/7
Let d(y) be the third derivative of -y**5/30 + y**4/6 - 58*y**2 - 2*y. Let d(c) = 0. What is c?
0, 2
Let f(a) be the first derivative of 0*a**3 - 3*a**2 - 1/120*a**5 - 2 + 0*a + 0*a**4. Let p(k) be the second derivative of f(k). Find n such that p(n) = 0.
0
Let t(q) be the first derivative of -q**5/210 - 8*q**2 - 7. Let x(h) be the second derivative of t(h). Factor x(w).
-2*w**2/7
Let t = -11677 - -23355/2. Factor -t*i + 0 + 1/6*i**2.
i*(i - 3)/6
Let h(w) be the third derivative of 1/180*w**5 + 0*w + 11/72*w**4 + 0 + 5/9*w**3 + w**2. Solve h(p) = 0.
-10, -1
Let h(z) = z**2 - 45*z + 50. Let q be h(44). Let d(k) be the first derivative of 0*k - 4/3*k**3 + 2*k**2 - q. Factor d(l).
-4*l*(l - 1)
Let f(i) = -i + 21. Let m be f(16). Suppose 25 - m = 5*c. Factor j - j**2 - c*j**2 + 6*j**2.
j*(j + 1)
Let u be ((-272)/6)/((-2)/(-18)). Let f be (-646)/u - 4/(-6). Factor -1/4*c**3 - 3/2*c**2 + 0 - f*c.
-c*(c + 3)**2/4
Let v(z) be the first derivative of -z**6/30 - 4*z**5/5 - 8*z**4 - 128*z**3/3 - 23*z**2/2 - 12. Let n(q) be the second derivative of v(q). Factor n(b).
-4*(b + 4)**3
Let u be 1 + (-7)/(-1) + 0. Find j, given that 8*j - u*j**2 - 16*j**3 - 8 + 16*j**4 - 4*j**5 + 2*j + 10*j = 0.
-1, 1, 2
Solve 1 + 2*m - 2*m**3 - 7*m**2 - 1 - 2*m - 12 + 28*m = 0 for m.
-6, 1/2, 2
Let i(y) be the second derivative of 1/12*y**5 - 1/90*y**6 - 1/6*y**4 + 1 + y + 0*y**3 + 0*y**2. Factor i(x).
-x**2*(x - 3)*(x - 2)/3
Let x(o) be the third derivative of 0 + 1/30*o**4 + 4*o**2 - 7/600*o**6 + 1/25*o**5 + 0*o + 0*o**3. Factor x(g).
-g*(g - 2)*(7*g + 2)/5
Suppose -4*v = -52 + 44. Factor 0 + 2*c**2 + c**2 - c**2 - 4 - v*c.
2*(c - 2)*(c + 1)
Let p be (-1)/(-2) + (-10)/(-4). Let r be (14/(-45))/((-17)/85). Determine x so that -4/9*x - r*x**2 - 14/9*x**p - 4/9*x**4 + 0 = 0.
-2, -1, -1/2, 0
Suppose -380*q + 375*q - 3*n = 8, -2*q + 28 = -4*n. Let j = -1/58 + 235/174. Factor -2/3*p**q + 2/3*p + j.
-2*(p - 2)*(p + 1)/3
Let x = 5 - 9. Let c = 0 - x. Factor -c - 3*z + 3*z**2 + 45*z**3 + 1 - 42*z**3.
3*(z - 1)*(z + 1)**2
Let o(a) = -8*a**2 - 60*a - 450. Let m(j) = 14*j**2 + 120*j + 900. Let d(i) = -3*m(i) - 5*o(i). Factor d(z).
-2*(z + 15)**2
Let j = 2283 + 685. Factor 2972*v**3 - 28*v - j*v**3 - 7 + 31.
4*(v - 2)*(v - 1)*(v + 3)
Let u(y) be the third derivative of 1/150*y**5 - 11/60*y**4 + 0*y + 0 - 17*y**2 + 2/3*y**3. Factor u(w).
2*(w - 10)*(w - 1)/5
Suppose 2*z + 22 - 16 = i, 9 = -2*i - 3*z. Factor i - 9/2*l**2 - 21/4*l**4 - 69/4*l**3 + 0*l.
-3*l**2*(l + 3)*(7*l + 2)/4
Let b(c) be the first derivative of c**3 + 24*c**2 + 84*c + 28. Suppose b(t) = 0. Calculate t.
-14, -2
Let x = 52597/5 + -10204. Let d = x - 315. What is a in -2/5*a**3 + 0*a + 0*a**2 - d*a**4 + 0 = 0?
-1, 0
Suppose 0 = -17*g - 3*g + 40. Let z(p) be the first derivative of -4/3*p + 49/9*p**3 - g + 49/12*p**4 - 2/3*p**2. Factor z(h).
(h + 1)*(7*h - 2)*(7*h + 2)/3
Let s(t) be the third derivative of t**6/1260 - t**5/140 + 10*t**3/3 - 10*t**2. Let k(x) be the first derivative of s(x). Find o, given that k(o) = 0.
0, 3
Let h(u) = 74*u**3 - 190*u**2 + 136*u - 20. Let l(p) = 15*p**3 - 38*p**2 + 27*p - 4. Let s(t) = -4*h(t) + 22*l(t). Factor s(r).
2*(r - 1)**2*(17*r - 4)
Let y(q) be the first derivative of q**4 - 54*q**2 - 216*q + 53. Determine b so that y(b) = 0.
-3, 6
Let c be 18*(2/9 + 0). Let y = 165 - 249/2. Factor 27*g**2 - 6*g**3 - 54*g + y + 1/2*g**c.
(g - 3)**4/2
Let g(k) be the first derivative of k**6/30 + 3*k**5/25 - 7*k**4/10 - 6*k**3/5 + 13*k**2/10 + 3*k - 159. Let g(u) = 0. Calculate u.
-5, -1, 1, 3
Suppose 0 = 2*x - 2 - 2. Suppose -5*p + x*w + 3*w = 15, -2*w + 18 = 4*p. Determine s so that 57*s**4 + 5*s**2 - p*s + 8*s - 15*s**4 - 2*s**2 - 51*s**3 = 0.
-2/7, 0, 1/2, 1
Let h = -960160/21 - -45722. Factor -8/7*d - h*d**2 + 26/21.
-2*(d - 1)*(d + 13)/21
Let k(l) = 2*l + 4. Let c be k(2). Factor 0*o - 4*o + c - 13*o**2 + 3*o**3 + 2*o + 4*o.
(o - 4)*(o - 1)*(3*o + 2)
Let w(v) be the third derivative of v**10/211680 + v**9/105840 + 11*v**4/12 + 8*v**2. Let t(f) be the second derivative of w(f). Suppose t(h) = 0. What is h?
-1, 0
Let p(x) = -x + 1. Let k be p(-5). Suppose -k = -3*r + r. Solve 0*d**r + d**2 - 2*d**4 + d**2 + 6*d**3 - 4*d - 2*d**5 = 0.
-2, -1, 0, 1
Let j be 114/18 + (-2)/(-3). Let y(z) be the first derivative of j - 15/4*z**5 + 5/2*z**2 + 19/6*z**3 - 65/16*z**4 - 2*z. Solve y(h) = 0.
-1, -2/3, 2/5
Suppose -d + 4*d = -42. Let p be 1 + 3 + -1 - (-38)/d. Suppose 0 - 8/7*w**4 + 12/7*w**3 + p*w**5 + 2/7*w - 8/7*w**2 = 0. What is w?
0, 1
Let g(r) = 4*r**4 + 5*r**3 + r**2. Let o(w) = w**4 + w**3. Let u(v) = 3*v + 1. Let l be u(6). Let c = l - 17. Let a(s) = c*g(s) - 6*o(s). Factor a(x).
2*x**2*(x + 1)**2
Let g(j) be the first derivative of -j**3/21 - 81*j**2/14 + 82*j/7 + 123. Factor g(y).
-(y - 1)*(y + 82)/7
Let 36 - 16*i - 23*i + 339*i**2 + 6*i + 3*i**3 - 345*i**2 = 0. Calculate i.
-3, 1, 4
Let q(b) be the third derivative of 32*b**2 - 5/84*b**8 - 1/6*b**5 + 0*b**3 - 1/14*b**7 + 0 + 0*b**4 + 0*b + 3/8*b**6. Let q(c) = 0. Calculate c.
-2, 0, 1/4, 1
Suppose 477 = 15*i - 48. Suppose -5*k = 5*w - i, 0 = 2*w + w + 5*k - 31. Suppose 3/2*a + 1/4*a**w + 9/4 = 0. Calculate a.
-3
Let x(b) be the second derivative of -b**3 - 15*b + 0 - 7/2*b**2 + 1/12*b**4. Factor x(y).
(y - 7)*(y + 1)
Let u(p) be the first derivative of -4*p**6/5 + 38*p**5/25 - 4*p**4/5 + 2*p**3/15 - 187. Find f such that u(f) = 0.
0, 1/4, 1/3, 1
Let w = 74636/7 + -10662. Determine z, given that -1/7*z**4 + 0*z**3 + 0 + 3/7*z**2 + w*z = 0.
-1, 0, 2
Suppose 0 = 2*l - 11 - 25. Factor -14*p - p**5 + l*p + 5*p**5 - 8*p**3.
4*p*(p - 1)**2*(p + 1)**2
Let f(j) be the second derivative of 5/12*j**4 - 9*j + 0 + 5/6*j**3