t q(c) be the second derivative of 1/8*c**2 + 1/12*c**3 + 0 + 1/48*c**4 + 34*c. Factor q(m).
(m + 1)**2/4
Let 75*c - 5*c**2 + 0 + 49 + 3 + 72 + 46 = 0. Calculate c.
-2, 17
Factor 0 + 16/5*a**2 - 2*a**3 - 8/5*a + 2/5*a**4.
2*a*(a - 2)**2*(a - 1)/5
Suppose -2/7*p**2 + 0 - 2/7*p = 0. Calculate p.
-1, 0
Let a(c) be the third derivative of 0*c + 0 + 3/16*c**5 + 125/8*c**3 - 5*c**2 - 75/32*c**4 - 1/160*c**6. Determine y so that a(y) = 0.
5
Let l be 22/(-176) - 1/(-8). Let q(x) = x**2 - 6*x + 3. Let r be q(6). Let -1/2 - 1/2*p**4 + p**2 + l*p + 0*p**r = 0. What is p?
-1, 1
Let g = -7442/158079 - -2/1817. Let p = 40/29 + g. Determine u, given that p*u**2 + 8/3*u + 4/3 = 0.
-1
Let m(n) be the second derivative of 0 - 3/2*n**2 + n**3 - 2*n + 2/15*n**5 - 7/12*n**4. Let r(i) be the first derivative of m(i). Factor r(w).
2*(w - 1)*(4*w - 3)
Suppose -13*i + 40 = -8*i. Factor -8*d + 20*d + i*d**2 - 5*d**4 - d**3 + 4*d**4.
-d*(d - 3)*(d + 2)**2
Let w(n) be the first derivative of -n**4/16 + 5*n**3/12 + 11*n**2/4 + 4*n - 7. Factor w(q).
-(q - 8)*(q + 1)*(q + 2)/4
Let r(q) be the second derivative of 9*q**6/25 + 81*q**5/10 + 49*q**4/2 + 29*q**3 + 78*q**2/5 - 13*q - 6. Solve r(p) = 0.
-13, -1, -2/3, -1/3
Factor -6 + 3/5*f**2 - 27/5*f.
3*(f - 10)*(f + 1)/5
Let s(v) = v**4 - 16*v**3 + 4*v - 4. Let m(f) = 2*f**4 - 47*f**3 + 11*f - 11. Let g(d) = 4*m(d) - 11*s(d). Determine l, given that g(l) = 0.
-4, 0
Let d be ((-10)/15*(-10)/10)/(4/6). Factor 27/8*x**2 + 15/4*x + d.
(3*x + 2)*(9*x + 4)/8
Let n(w) = -14*w**2 - 19*w - 191. Let o(j) = 5*j**2 + 4*j + 64. Let y(q) = -4*n(q) - 11*o(q). Solve y(r) = 0 for r.
-30, -2
Let u(l) be the second derivative of l**4 + 2/15*l**6 - 5*l + 3/5*l**5 + 2/3*l**3 + 0 + 0*l**2. What is m in u(m) = 0?
-1, 0
Let y(w) = 3*w**3 + 3*w**2 - w + 4. Let z(i) = 2*i**3 + i**2 + 2. Let x(q) = 3*y(q) - 5*z(q). Let j be x(3). Suppose 4*r**j + 4 - 3 - 5 = 0. Calculate r.
-1, 1
Suppose 6*y = -0*y + 12. Let o be 5 - (9 - 8/y). Solve 2/13*t**4 + 0*t + 4/13*t**2 - 6/13*t**3 + o = 0.
0, 1, 2
Let b(t) be the first derivative of -14450*t**3/3 - 340*t**2 - 8*t + 120. Factor b(q).
-2*(85*q + 2)**2
Determine m so that 123*m**2 + 13*m**3 - 3 + 3 - 27*m**3 - 126*m + 17*m**3 = 0.
-42, 0, 1
Let m(t) be the third derivative of t**5/60 + t**4/6 + 2*t**3/3 + 2*t**2. Let j be m(-4). Factor -z - z - 3*z**2 + j*z**2.
z*(z - 2)
Let y be ((-1)/11)/(14/2 + 25280/(-3476)). Suppose 0*k**3 + 7/3*k**2 - y*k**4 + 2*k + 0 = 0. What is k?
-2, -1, 0, 3
Factor 10/9*a**4 + 2*a**3 + 0 + 4/9*a + 2/9*a**5 + 14/9*a**2.
2*a*(a + 1)**3*(a + 2)/9
Let k(t) be the second derivative of -1/60*t**6 - 5/8*t**4 - 7/40*t**5 - 3/4*t**3 + 0*t**2 + 0 + 30*t. Let k(u) = 0. What is u?
-3, -1, 0
Suppose 3*w + 9 = -2*a - 0*a, -3*w = -5*a + 9. Suppose -4*z = 3*b - 17 - 12, 4*b + 3*z - 27 = a. Let 5/2*u**2 - u + 7/2*u**b + 0 = 0. What is u?
-1, 0, 2/7
Let f be (0 - 4)/(33/12 - 3). Let -16*b**3 + 13*b - 6*b**2 - f*b**3 + 11*b**3 + 8*b + 6 = 0. What is b?
-1, -2/7, 1
Let p(i) be the second derivative of i**5/50 - 2*i**4/15 - 11*i**3/15 - 6*i**2/5 - 437*i. Solve p(r) = 0 for r.
-1, 6
Let o(s) be the first derivative of 99/2*s**2 - 42*s + 5*s**3 - 1. Factor o(t).
3*(t + 7)*(5*t - 2)
Let y(f) be the third derivative of -1/952*f**8 - 2/357*f**7 + 29*f**2 - 5/204*f**4 + 0 + 2/85*f**6 - 1/85*f**5 + 0*f + 0*f**3. Let y(s) = 0. What is s?
-5, -1/3, 0, 1
Let b(a) be the second derivative of a**4/54 + a**3/3 + 20*a**2/9 - 42*a. Suppose b(v) = 0. Calculate v.
-5, -4
Let i(n) = -n**3 - 11*n**2 - 80*n - 1102. Let l be i(-12). Let j be 2 + -3*4/(-12). Factor 2*g**l + 2/3 - 6*g**j + 10/3*g.
-2*(g - 1)*(3*g + 1)**2/3
Let x = -1832 + 1001. Let a = -4134/5 - x. Let 33/5*v + a*v**3 - 48/5*v**2 - 6/5 = 0. What is v?
2/7, 1
Let s = -10 - -13. Suppose -4*a + 44 = 5*g, -s*g + 20 = -4*a - 0*a. Factor 12 + g + 5*p**2 - 15*p + 35*p.
5*(p + 2)**2
Let b(m) be the first derivative of -2*m**5/55 - m**4/22 + 8*m**3/11 + 28*m**2/11 + 32*m/11 + 8. Find y such that b(y) = 0.
-2, -1, 4
Let i be 5 - (-2 - 4*(-4)/4). Solve -50*m + 125*m**2 - 256*m**5 + 100*m**i - m**4 - 64*m**5 + 5 - 399*m**4 = 0 for m.
-1, 1/4
Let q(k) be the second derivative of -5*k**7/21 - 8*k**6/15 - k**5/10 + k**4/3 + 94*k. Factor q(h).
-2*h**2*(h + 1)**2*(5*h - 2)
Let j(l) = -4*l**2 - 4*l - 5. Let a(u) = -u**3 - u**2 - u + 1. Let z(n) = a(n) - j(n). Let b be z(4). Factor 3*t**2 - 5*t**2 + 12 + 16*t - 2*t**2 + 8*t**b.
4*(t + 1)*(t + 3)
Let r(j) be the second derivative of j**7/21420 + j**6/2040 + 9*j**4/4 + 38*j. Let t(w) be the third derivative of r(w). Factor t(s).
2*s*(s + 3)/17
Suppose 161*z - 99 - 384 = 0. Factor 2*d - 10/7*d**2 + 2/7*d**z - 6/7.
2*(d - 3)*(d - 1)**2/7
Let y(i) be the first derivative of 0*i + 1/210*i**5 + 7/3*i**3 + 0*i**4 - 11 + 1/1260*i**6 + 0*i**2. Let n(j) be the third derivative of y(j). Factor n(s).
2*s*(s + 2)/7
Let m(v) be the first derivative of -v**8/1120 - v**7/840 - v**6/2160 - v**3 + 34. Let h(c) be the third derivative of m(c). Let h(o) = 0. What is o?
-1/3, 0
Solve -2/9*t**2 + 0 + 0*t + 2/9*t**3 = 0 for t.
0, 1
Suppose -3*p + 12 = 3. Suppose 2*h - 3*h - 55 = -12*h. What is g in -2/9*g**h + 0*g - 10/9*g**p + 0 + 4/9*g**2 + 8/9*g**4 = 0?
0, 1, 2
Let i = -54 + 59. Factor 20*n - 20*n**2 - 5*n**3 + 5*n**3 + 0*n**2 + i*n**3.
5*n*(n - 2)**2
Suppose b + 5*a = -7, -5*b + 17*a - 18*a + 13 = 0. Let r(l) be the first derivative of -6*l**2 - 3/4*l**4 - 7 + 0*l - 4*l**b. What is p in r(p) = 0?
-2, 0
Let t(p) be the second derivative of 5*p**4/12 - 115*p**3/6 + 55*p**2 + 7*p + 3. Factor t(w).
5*(w - 22)*(w - 1)
Suppose -4*a + 17 + 19 = 0. Suppose -3*z = 5*s - 65 - 5, 2*s - 24 = -z. Solve -a*l**3 - z*l**3 - 4*l + 33*l**3 = 0 for l.
-1, 0, 1
Find d such that 5/4*d + 0*d**4 + 0*d**2 + 5/4*d**5 - 5/2*d**3 + 0 = 0.
-1, 0, 1
Let 3*d**4 - 2*d**4 - 16*d**2 - 4*d**5 + 12*d**3 + 7*d**4 - 16*d - 2*d**4 + 2*d**4 = 0. Calculate d.
-1, 0, 2
Factor 0 - 6*l + 1/5*l**2.
l*(l - 30)/5
Suppose -7/2*c + 1/2*c**2 + 5 = 0. What is c?
2, 5
Solve 4/3*n + 2/3*n**2 + 1/6*n**5 + 0 - n**3 - 1/6*n**4 = 0.
-2, -1, 0, 2
Let m(r) = -r**2 - 22*r - 20. Let c be m(-1). Let n(v) be the first derivative of 1/10*v**2 - 1/15*v**3 + 0*v - c. Factor n(t).
-t*(t - 1)/5
Suppose -38*l + 100 = -18*l. Let n(r) be the third derivative of -9*r**2 + 1/5*r**l - 1/3*r**4 + 0 + 0*r - 2/3*r**3. Factor n(c).
4*(c - 1)*(3*c + 1)
Let v be (231/(-385))/(9/(-66)). What is n in 4/5*n**3 + 2*n**2 - v*n + 8/5 = 0?
-4, 1/2, 1
Let p(r) = -7*r**4 - 2*r**3 - 3*r**2 + 3. Let o(u) = -2*u**4 - u**2 + 1. Let w(i) = 12*o(i) - 4*p(i). Factor w(b).
4*b**3*(b + 2)
Let c = 5/578 - -563/1734. Determine i, given that 2/3*i**2 - 1 + c*i = 0.
-3/2, 1
Let j(k) be the first derivative of 12*k**5 - 5*k**4/4 - 91. Factor j(u).
5*u**3*(12*u - 1)
Let x(g) = -7*g**4 + 13*g**3 - 53*g**2 + 45*g + 5. Let y(m) = 3*m**4 - 7*m**3 + 26*m**2 - 22*m - 2. Let r(j) = 6*x(j) + 15*y(j). Factor r(l).
3*l*(l - 5)*(l - 2)**2
Let p be -3*(1 + 5/(-3)). Let g = -161 + 164. Find u, given that -23*u**p + 21*u**g - 7*u + 8*u**2 + u = 0.
-2/7, 0, 1
Let n(r) be the third derivative of -r**6/480 - r**5/120 + r**4/32 + 2*r**2 - 21. Factor n(t).
-t*(t - 1)*(t + 3)/4
Let h(y) be the first derivative of -9 + 1/12*y**4 + 0*y**2 - 1/3*y**3 + 4/3*y. Factor h(l).
(l - 2)**2*(l + 1)/3
Let u(b) = -4*b**4 + 26*b**3 - 38*b + 22. Let i(n) = 3*n**4 - 24*n**3 + n**2 + 38*n - 23. Let j(g) = 6*i(g) + 5*u(g). Solve j(h) = 0.
-7, -2, 1
Let s(r) be the first derivative of 0*r + 0*r**4 - 1/120*r**5 + 8/3*r**3 - 5 + 1/180*r**6 + 0*r**2. Let l(u) be the third derivative of s(u). Solve l(t) = 0.
0, 1/2
Let w(b) be the first derivative of b**3/5 + 114*b**2/5 + 45*b - 304. Let w(u) = 0. What is u?
-75, -1
Let c(t) be the first derivative of -t**7/280 + t**6/300 + t**5/40 - t**4/20 + 5*t**3/3 - 2. Let b(f) be the third derivative of c(f). Factor b(w).
-3*(w - 1)*(w + 1)*(5*w - 2)/5
Factor -4/5*i**2 - 24/5 + 28/5*i.
-4*(i - 6)*(i - 1)/5
Let d(n) = -5*n**5 - 9*n**4 + 2*n**3 - 6*n**2 + 6. Let z(x) = -x**5 - x**4 + x**3 - x**2 + 1. Let b(k) = -d(k) + 6*z(k). Factor b(m).
-m**3*(m - 4)*(m + 1)
Suppose -9*v - 10*v = -3*v. Let n(m) be the third derivative of v*m**3 - 7*m**2 - 1/18*m**4 + 0 - 1/90*m**5 + 1/180*m**6 + 0*m. Factor n(w).
2*w*(w - 2)*(w + 1)/3
Let j be 1*(5/2)/5. Let u be 0*(