(f) + 10*h(f). Find b such that x(b) = 0.
-6
Let k(l) = 13*l**4 + 67*l**3 + 9*l**2 - 27*l. Let w(z) = -3*z**4 - 17*z**3 - 2*z**2 + 6*z. Let m(s) = -2*k(s) - 9*w(s). Suppose m(f) = 0. Calculate f.
-19, 0
Let i(d) be the third derivative of d**5/60 - 29*d**4/6 + 1682*d**3/3 - 5*d**2 - 3*d. What is o in i(o) = 0?
58
Suppose 0 = 6*k + 61 - 73. Suppose -9*r = -7*r + k*n, 0 = 5*r + 2*n. Determine b, given that -2/3*b**2 + r - 1/3*b - 1/3*b**3 = 0.
-1, 0
Let t(m) = 0*m**2 - 20*m - 1 - 5*m**2 + 2*m**2. Suppose 2*c = -5*f + 19, c + 0*f + 23 = 4*f. Let h(r) = r**2 + 7*r. Let d(p) = c*t(p) - 8*h(p). Factor d(w).
(w + 1)*(w + 3)
Let t(p) be the first derivative of -p - 4 + 1/4*p**2 + 1/8*p**3 - 1/24*p**4. Let z(k) be the first derivative of t(k). Find l such that z(l) = 0.
-1/2, 2
Let o(n) be the first derivative of 4/25*n**5 + 2/5*n**2 - 1/5*n**4 - 4/15*n**3 + 0*n + 16. Factor o(z).
4*z*(z - 1)**2*(z + 1)/5
Let g(h) be the first derivative of -2*h**3/3 + 2*h**2 + 6*h - 302. Factor g(m).
-2*(m - 3)*(m + 1)
Factor -3/5*a**3 + 13/5*a**2 - 16/5*a + 4/5.
-(a - 2)**2*(3*a - 1)/5
Let o be (85 + 2)*1/1. Let g = o + -171/2. Factor -3/4*s + 3/4*s**3 + g*s**2 - 3/2.
3*(s - 1)*(s + 1)*(s + 2)/4
Let 0 - 1/4*x**4 - 3/4*x**3 - 1/4*x - 3/4*x**2 = 0. Calculate x.
-1, 0
Let p(o) = -648*o + 33 + 1301*o - 651*o. Let f be p(-14). Factor 4/3*a**3 + 4/3*a**4 + 0 - 4/3*a**f - 4/3*a**2 + 0*a.
-4*a**2*(a - 1)**2*(a + 1)/3
Suppose 5*o - 1 = 9. Factor -12*h - 10*h - 55*h**o + 15*h**3 - 4*h + 6*h.
5*h*(h - 4)*(3*h + 1)
Let p(i) be the first derivative of -1/9*i**6 - 4/9*i**5 - 2/3*i**4 - 4/9*i**3 + 0*i - 1/9*i**2 - 5. Factor p(d).
-2*d*(d + 1)**3*(3*d + 1)/9
Let o(d) be the first derivative of d**4/30 - 4*d**3/45 - d**2/5 + 100. Factor o(u).
2*u*(u - 3)*(u + 1)/15
Let s(b) = 6*b**2 - 4*b - 1 - 4 + 9*b - b**3. Let t(l) = -5*l**2 - 3*l - l + l**3 + 1 + 3. Let n(x) = -4*s(x) - 5*t(x). Factor n(m).
-m**2*(m - 1)
Let w = 9 + -5. Suppose 0 = s - c - 2, 3*s - 3*c - 2 = 2*s. Solve -k + k + 2*k**2 - w*k + s = 0 for k.
1
Let f(v) be the second derivative of -3*v**5/10 + 37*v**4/9 - 160*v**3/9 + 32*v**2/3 + v. Find g such that f(g) = 0.
2/9, 4
Let a(x) = 2*x**3 - x**2 + 1 - 7*x**3 + 0*x**2. Let o be a(-1). Factor 4*p - 3 + 7*p**2 + o*p**2 - 11*p - 2*p.
3*(p - 1)*(4*p + 1)
Let n(o) be the third derivative of o**2 + 0*o**4 - 2/3*o**3 + 0*o + 1/540*o**5 - 1/1620*o**6 + 0. Let z(v) be the first derivative of n(v). Factor z(g).
-2*g*(g - 1)/9
Let l(r) be the second derivative of 2*r**6/105 + 2*r**5/35 - 13*r**4/7 + 136*r**3/21 - 64*r**2/7 - 10*r + 1. Suppose l(j) = 0. Calculate j.
-8, 1, 4
Let i(m) = 2 - 13*m**2 - 8*m**2 + 22*m**2 - 2*m. Let x be i(2). Factor -3*k**2 - k**x + 7*k**2 - 3.
3*(k - 1)*(k + 1)
Let x = -10990 - -21983/2. Factor -9/2*y**2 - 15/2*y + x*y**3 + 3/2*y**4 - 3.
3*(y - 2)*(y + 1)**3/2
Let t = -58 - -62. Let -4*g**4 - 20*g**3 - 6*g**4 - 5*g - 11*g + 6*g**t - 32*g**2 = 0. What is g?
-2, -1, 0
Let q(h) be the second derivative of 1/6*h**2 - 1/90*h**6 + 0*h**4 - 1/30*h**5 + 1/9*h**3 + 0 - 40*h. Factor q(u).
-(u - 1)*(u + 1)**3/3
Let t = 14 - -54. Let j = -44 + t. Factor 0*g - j*g + 39 - 5*g**2 + 8*g**2 + 9.
3*(g - 4)**2
Let -36*l**4 + 8/7*l - 226/7*l**2 + 8/7 - 618/7*l**3 = 0. Calculate l.
-2, -1/3, -2/7, 1/6
What is g in 1/6*g**3 + g + 5/6*g**2 + 0 = 0?
-3, -2, 0
Let d(j) be the second derivative of -j**7/2520 - j**6/180 - j**5/30 - 3*j**4/4 - 18*j. Let q(p) be the third derivative of d(p). Factor q(r).
-(r + 2)**2
Let v(n) = 2*n**2 - 17*n - 82. Let d be v(12). Let g(p) be the first derivative of p**3 - 7 - 3/2*p**d - 6*p. Suppose g(m) = 0. What is m?
-1, 2
Let y(b) = -b**2 - b + 2. Let f be y(1). Suppose f*r - 5*r + 10 = 0. Factor 0*q**2 + 3*q**r - 2 - 3*q + 5 - 3*q.
3*(q - 1)**2
Let t be (3/(-20))/(90/(-250)). Let p(o) be the third derivative of -t*o**4 - 1/60*o**6 + 2/15*o**5 + 2/3*o**3 + 0 - 4*o**2 + 0*o. Factor p(w).
-2*(w - 2)*(w - 1)**2
Suppose 40 = 2*n + 34. Suppose 0 = 3*o - 0 - 6. Factor 0*m**o - 4/9*m + 4/9*m**n + 0.
4*m*(m - 1)*(m + 1)/9
Determine h so that -64*h + 70*h**3 - 64/3 - 52/3*h**2 + 98/3*h**4 = 0.
-2, -4/7, 1
Let i(z) be the first derivative of -14/15*z**3 + 0*z + 4/5*z**4 + 1/5*z**2 + 50 + 32/25*z**5. Let i(j) = 0. Calculate j.
-1, 0, 1/4
Factor 678*w + 147/2*w**3 - 96 - 1218*w**2.
3*(w - 16)*(7*w - 2)**2/2
Let k(y) be the second derivative of 17*y + 0 - 1/30*y**5 + 1/45*y**6 + 1/9*y**3 + 0*y**2 - 1/18*y**4. Let k(n) = 0. Calculate n.
-1, 0, 1
Let z(l) = -20*l**2 + 308*l - 10946. Let d(x) = -23*x**2 + 310*x - 10945. Let h(w) = 6*d(w) - 7*z(w). Factor h(s).
2*(s - 74)**2
Suppose -5*j - 1448 + 123 = 0. Let n = -75 - j. Factor -n + 3*k**2 + 190.
3*k**2
Factor 1/6*o - 1/3 + 1/6*o**2.
(o - 1)*(o + 2)/6
Suppose 3*a - 7*n + 2*n = 130, 4*a - 166 = 3*n. Let a*p**2 + p**3 - 82*p + 2*p - 6*p**3 = 0. What is p?
0, 4
Let v(j) = 79*j**2 - 4*j. Let b(x) = 860*x**2 - 45*x. Let n(h) = -6*b(h) + 65*v(h). Factor n(y).
-5*y*(5*y - 2)
Let j(l) be the second derivative of 9*l + 3*l**2 + 1/40*l**5 + 0 + 1/80*l**6 + 0*l**3 - 1/8*l**4. Let t(c) be the first derivative of j(c). Factor t(b).
3*b*(b - 1)*(b + 2)/2
Factor 0*j + 16/3*j**2 - 16*j**3 + 20/3*j**4 + 0.
4*j**2*(j - 2)*(5*j - 2)/3
Let r(w) = -16*w**2 + 2. Suppose 9*b - 10 = -28. Let s(o) = 5*o**2 - 1. Let y(i) = b*r(i) - 7*s(i). Find u such that y(u) = 0.
-1, 1
Let a(n) = -14*n**2 - 16*n - 44. Suppose 7 = -2*p + q, 2*q + 0 = -p + 9. Let t(l) = -l**2 - 1. Let i(c) = p*a(c) + 12*t(c). Factor i(g).
2*(g + 4)**2
Let j(b) = -3*b**2 - 14*b**2 + b**3 - 14 + 16*b**2. Let v be j(3). Find c, given that -22/5*c**3 - 8/5*c - 6/5*c**v - 24/5*c**2 + 0 = 0.
-2, -1, -2/3, 0
Let n(t) be the second derivative of -t**6/120 - 3*t**5/80 - t**4/24 + 168*t - 2. Suppose n(y) = 0. What is y?
-2, -1, 0
Let c(d) be the first derivative of -28*d**5/15 + 44*d**4/3 - 16*d**3/3 - 448*d**2/3 + 256*d/3 + 71. Suppose c(b) = 0. What is b?
-2, 2/7, 4
Let u(x) be the second derivative of x**6/10 - 3*x**5/20 - x**4/2 - 18*x + 3. What is h in u(h) = 0?
-1, 0, 2
Let n = 30 - 25. Let p(f) = 5*f**2 - 4*f - 20. Let a(d) = -3*d**2 + 3*d + 13. Let z(r) = n*p(r) + 8*a(r). Let z(i) = 0. Calculate i.
-2
Suppose 34*d**4 + 77*d**2 + 20*d**3 + 8*d**5 + 8*d**5 - 75*d**2 = 0. Calculate d.
-1, -1/8, 0
Factor -240*t**4 + 240*t**4 - 2*t**5 + 0*t**5.
-2*t**5
Let w be 150/275 + (-812)/1771. Factor 6/23*l + 4/23 + w*l**2.
2*(l + 1)*(l + 2)/23
Let c(w) = w**2 - w - 1. Let d(q) = -q**2 - 16*q - 7. Let b(m) = 2*c(m) - d(m). Let h(z) = 5*z**2 + 30*z + 10. Let f(g) = -5*b(g) + 2*h(g). Solve f(n) = 0.
-1
Solve 0 - 2/5*x**4 - 4/5*x + 0*x**3 + 6/5*x**2 = 0 for x.
-2, 0, 1
Suppose -3 = 9*b - 10*b. Let m(x) be the third derivative of 1/72*x**4 + 0*x + 0 + 1/180*x**5 - 2*x**2 + 0*x**b - 1/360*x**6 - 1/630*x**7. Factor m(j).
-j*(j - 1)*(j + 1)**2/3
Let m(c) be the second derivative of 7*c**3/6 + c**2/2 - 2*c. Let u be m(1). Let -3*d**3 - u*d + 1 - 7*d + 3 + 2 + 12*d**2 = 0. Calculate d.
1, 2
Let d be 3 + 8 - 4/(-4). Factor -d*g - 7*g**3 + 8 + 14*g**3 - 3*g**3.
4*(g - 1)**2*(g + 2)
Let r = 229 + -457/2. Let i(v) be the second derivative of -r*v**2 + 4*v + 0*v**3 + 1/48*v**4 + 0. Suppose i(f) = 0. What is f?
-2, 2
Suppose -10*m - 24 = -16*m. Let v(q) be the third derivative of -4*q**2 - 1/24*q**m - 1/60*q**5 + 1/3*q**3 + 0*q + 0. Factor v(j).
-(j - 1)*(j + 2)
Suppose 11*t + 2*t**2 - t**2 - 12*t - 12 = 0. What is t?
-3, 4
Suppose 29/6*l - 5 + 1/6*l**2 = 0. Calculate l.
-30, 1
Let i = 8069/20 - 1613/4. Factor 0*l - i*l**3 - 4/5 + 3/5*l**2.
-(l - 2)**2*(l + 1)/5
Let f = 3598 - 7181/2. Find d such that -f*d**2 + 5/2 + 25/2*d**3 - 5/2*d - 5*d**4 = 0.
-1/2, 1
Factor 1/4*m**4 + 0 - 1/4*m**3 + 0*m**2 + 0*m.
m**3*(m - 1)/4
Let -29*q**5 - 51*q**2 - 12 + 63*q**4 + 8*q**5 + 48*q - 6*q**5 - 21*q**3 = 0. What is q?
-1, 2/3, 1
Let g(s) be the second derivative of 2*s**6/105 + 264*s**5/35 + 7744*s**4/7 + 1362944*s**3/21 - 265*s + 2. Factor g(d).
4*d*(d + 88)**3/7
Suppose -3*p = -p + x - 1, -3*x = 4*p + 1. Factor -m**3 - m**2 - 5*m**2 - 4*m + 2*m**p.
-m*(m + 2)**2
Let o(t) be the first derivative of -t**6/6 + 3*t**5/5 + 17*t**4/4 + 3*t**3 - 8*t**2 - 12*t + 430. Find s such that o(s) = 0.
-2, -1, 1, 6
Suppose -3*o = 2*a - 45, -a - o + 20 = -0*o. Factor 5*z**4 + 10*z**2 + 205*z + a*z**3 - 205*z.
5*z**2*(z + 1)*(