3 + 17*s - 2. Find h such that b(h) = 0.
-11, 0, 1
Let o(l) = -7*l**2 + 15*l - 11. Let y(c) = c + 0*c**2 + c**2 - 1 - 2*c**2. Suppose 27*m - 3*m = -24. Let z(u) = m*o(u) + 3*y(u). Factor z(p).
4*(p - 2)*(p - 1)
Let w(k) be the first derivative of -2*k**5/5 + 2*k**3/3 + 106. Factor w(f).
-2*f**2*(f - 1)*(f + 1)
Find u such that -4/3*u**2 + 16*u - 80/3 = 0.
2, 10
Let m(c) be the third derivative of -c**6/30 + c**5/15 + 13*c**4/3 + 16*c**3 + 2*c**2. Find b such that m(b) = 0.
-4, -1, 6
Solve 575/2*j - 27*j**3 - 375 - 20*j**2 + 7*j**4 - 1/2*j**5 = 0.
-3, 2, 5
Factor y + 28*y**2 - 11*y**2 - 12 - 7*y**2 - 16*y - 13*y**2.
-3*(y + 1)*(y + 4)
Suppose 23*t + 13 = 4*r + 22*t, -3*t - 11 = 2*r. Determine x, given that -10/9*x + 2/9*x**3 + 2/3 + 2/9*x**r = 0.
-3, 1
Let n(g) be the first derivative of -g**6/21 - 2*g**5/35 + g**4/2 + 2*g**3/21 - 6*g**2/7 - 434. Suppose n(a) = 0. What is a?
-3, -1, 0, 1, 2
Let q = -20 + 23. Factor 3*o**q + 73*o - 15*o**2 + 2*o**3 - 63*o.
5*o*(o - 2)*(o - 1)
Factor 8/13 + 264/13*x**3 + 72/13*x**4 + 194/13*x**2 - 88/13*x.
2*(x + 2)**2*(6*x - 1)**2/13
Let f = -334 - -341. Let h(m) be the second derivative of 1/30*m**6 + 0 - 1/10*m**5 + 1/6*m**3 + 2*m - 1/6*m**4 + 1/42*m**f + 1/2*m**2. Let h(u) = 0. What is u?
-1, 1
Let l(w) = 2*w**2 - 10*w + 19. Let h be l(6). Let g = h - 28. Factor 2/3*m**5 + 4/3 - 4/3*m**4 - 4/3*m**g - 14/3*m + 16/3*m**2.
2*(m - 1)**4*(m + 2)/3
Let y(j) be the third derivative of -j**5/390 - j**4/13 - 11*j**3/39 + 8*j**2 - 3. Factor y(h).
-2*(h + 1)*(h + 11)/13
Factor -6*j**2 + 261*j + 188*j**2 - 72 - 280*j**3 + 90*j**2 + 4*j**4 - 204 + 19*j.
4*(j - 69)*(j - 1)**2*(j + 1)
Let j(z) be the first derivative of -7*z**6/27 - 8*z**5/15 + 13*z**4/6 + 64*z**3/27 - 4*z**2/3 - 30. Find n such that j(n) = 0.
-3, -1, 0, 2/7, 2
Let q(y) be the second derivative of y**7/70 - y**6/50 - 9*y**5/100 + y**4/20 + y**3/5 - 29*y - 2. Solve q(u) = 0 for u.
-1, 0, 1, 2
Let l = 163/46 - 47/23. Let 3/2*i - 3*i**4 + 0 - l*i**5 + 3*i**2 + 0*i**3 = 0. What is i?
-1, 0, 1
Let f(g) be the third derivative of -g**7/840 - g**6/40 + 7*g**5/40 + 5*g**4/24 + 8*g**2. Let p(x) be the second derivative of f(x). Factor p(c).
-3*(c - 1)*(c + 7)
Let j(t) be the third derivative of t**7/735 - t**6/60 + 2*t**5/35 + 391*t**2 + t. Factor j(n).
2*n**2*(n - 4)*(n - 3)/7
Suppose -2*k + l = -3*k + 3, -2*l - 6 = -4*k. Suppose -2*z + 2*u + 3*u + 9 = 0, 0 = -2*u + 6. Factor 0*i**k + 8 + i**2 + 4*i**2 + z*i - i**2.
4*(i + 1)*(i + 2)
Let h(m) be the second derivative of 2*m**7/21 - m**6/3 - 13*m**5/10 + m**4/6 + 11*m**3/3 + 4*m**2 + 21*m - 2. Suppose h(d) = 0. Calculate d.
-1, -1/2, 1, 4
Suppose -104 = -5*c + b, -4*c - b + 43 = -2*c. Factor -6*v**5 + 83*v + 12*v**3 - 36*v**4 - 83*v + c*v**5.
3*v**3*(v - 2)*(5*v - 2)
Let u(a) = 3*a**5 - 6*a**4 + 9*a**3 + 24*a**2 - 15*a. Let s(i) = -i**5 + 7*i**4 - 9*i**3 - 23*i**2 + 16*i. Let y(m) = -3*s(m) - 2*u(m). Let y(c) = 0. What is c?
-3, -2, 0, 1
Let p = 1587776/5855 + 20/1171. Let u = 272 - p. Factor 3/5 - u*x + 1/5*x**2.
(x - 3)*(x - 1)/5
Let l = -31 + 184. Let c be -5 + l/15 + -5. Factor 0*n**2 + 0 - c*n**3 + 0*n.
-n**3/5
Let j be (2/30)/((2/2)/5). Suppose -2/3 + j*z**2 - 1/3*z = 0. Calculate z.
-1, 2
Let i be 16 - 1863/135 - (-8)/10. Suppose 2/3*n**2 + 1/3*n**5 - 1/3*n**4 - 1/3 + 1/3*n - 2/3*n**i = 0. What is n?
-1, 1
Let g(p) be the second derivative of -p**7/504 - p**6/90 - p**5/240 + p**4/24 + 56*p - 2. Suppose g(u) = 0. What is u?
-3, -2, 0, 1
Let m be (-2)/(-12) + 0/((-21)/((-105)/20)). Solve 1/3*c + 1/6*c**2 + m = 0.
-1
Let s(n) be the second derivative of n**7/63 + n**6/15 + n**5/15 + 64*n. Factor s(i).
2*i**3*(i + 1)*(i + 2)/3
Let c(b) be the first derivative of 1/210*b**6 - 1/21*b**3 + 2*b + 0*b**4 + 1/70*b**5 + 5 - 1/14*b**2. Let u(n) be the first derivative of c(n). Factor u(k).
(k - 1)*(k + 1)**3/7
Let d(g) be the first derivative of 0*g - 1/14*g**4 + 14 - 1/7*g**2 + 4/21*g**3. Solve d(o) = 0 for o.
0, 1
Let u(g) be the first derivative of -g**3 - 1/2*g**2 + 3/8*g**4 - 1 + 0*g - 1/20*g**5. Let j(i) be the second derivative of u(i). Factor j(d).
-3*(d - 2)*(d - 1)
Let x(l) be the third derivative of l**6/24 + 23*l**5/4 + 2645*l**4/8 + 60835*l**3/6 - 16*l**2. Suppose x(j) = 0. What is j?
-23
Let l(x) be the third derivative of x**8/10080 + x**7/504 + x**6/60 + 9*x**5/20 + 15*x**2. Let q(b) be the third derivative of l(b). Factor q(m).
2*(m + 2)*(m + 3)
Suppose 6*z - 3*z - 31 = -4*b, -2*b = 4*z - 28. Suppose -p + z = 2*s - 3*s, 2*s = -p - 4. Factor -2/5 - 2/5*w**p + 4/5*w.
-2*(w - 1)**2/5
Suppose c = -0 + 4, -18 = -2*d - 2*c. Let r = 7 - 4. Suppose 5*b**3 - 4*b**4 + r*b**2 - 4*b**3 + 3*b**3 + b**2 - 4*b**d = 0. What is b?
-1, 0, 1
Let w be -1 - 296/(-42) - (-167)/(-501). Factor -w*i + 2/7*i**2 + 200/7.
2*(i - 10)**2/7
Let g(o) = -79*o**2 - 99*o - 68. Let n(p) = -39*p**2 - 49*p - 30. Let s(a) = -6*g(a) + 13*n(a). Factor s(x).
-(3*x - 1)*(11*x + 18)
Let n be (-4)/(-14) + 0 - 0. Let v = 8543/21 + -1217/3. Suppose -v + n*g**4 - 8/7*g + 6/7*g**2 + 8/7*g**3 = 0. Calculate g.
-2, -1, 1
Let k(d) = d**4 + 9*d**3 + d**2. Let l(g) = -5*g - 1. Let v be l(4). Let w(o) = -55*o**3 - 47*o**3 + 103*o**3. Let s(z) = v*w(z) + 3*k(z). Factor s(t).
3*t**2*(t + 1)**2
Let m = 2232 + -24544/11. Determine f so that -m*f**2 + 8/11*f**4 + 0 + 6/11*f**3 - 8/11*f + 2/11*f**5 = 0.
-2, -1, 0, 1
Let t(n) = 68*n**3 + 160*n**2 - 48*n - 16. Let a(q) = 23*q**3 + 53*q**2 - 16*q - 5. Let b be (-24)/10*(-220)/33. Let j(h) = b*a(h) - 5*t(h). Factor j(m).
4*m*(m + 2)*(7*m - 2)
Let p be (4/12)/(105/756). Let 2/5*i**4 + 26/5*i**2 - p*i**3 + 8/5 - 24/5*i = 0. Calculate i.
1, 2
Solve 8*q**4 + 507 - 3*q**4 - 6000*q + 240*q**3 + 2630*q**2 + 2794 - 176 = 0.
-25, 1
Let z be (26/(-2) - -1)*656/(-123). Suppose 5*u + z = 64. Factor 0*i - 2/7*i**4 + 0*i**2 + 0 + u*i**3 + 6/7*i**5.
2*i**4*(3*i - 1)/7
Let q(a) = -13*a - 16. Let z be q(-7). Let x = z - 73. Find o, given that 3*o**x + 0 - 12/5*o**3 - 6/5*o + 3/5*o**4 = 0.
0, 1, 2
Suppose o + 4*k = 3, 0*o + k = -o + 6. Let j(w) be the second derivative of w**2 - o*w + 1/3*w**3 + 1/24*w**4 + 0. Factor j(t).
(t + 2)**2/2
Let r = 35 + -2. Suppose 0 = -4*x + 5*s + r, -x + 2*s = -6*x. Factor 1/3*b**3 + 2/3*b**4 + 0*b + 1/3*b**5 + 0*b**x + 0.
b**3*(b + 1)**2/3
Let o(y) = -3*y**3 + 150*y**2 + 1872*y + 1731. Let v(f) = 2*f**3 - f**2 - 1. Let b(j) = -o(j) - 3*v(j). Suppose b(l) = 0. Calculate l.
-24, -1
Suppose -6*x - 8 = -26. Suppose x*d - 254 = -89. Factor 28*h - 3*h**4 - d*h**3 - 22*h**4 + 6*h**2 - 8 + 0.
-(h + 1)*(h + 2)*(5*h - 2)**2
Solve 0 + 2/11*p + 2/11*p**2 = 0 for p.
-1, 0
Factor -5*p + 150 - 2*p + 73*p + 5*p**2 + 19*p.
5*(p + 2)*(p + 15)
Let g = 4/181 - -889/724. Determine o, given that 5/4*o + 0 + g*o**2 = 0.
-1, 0
Find n such that -2/9*n - 2/9*n**2 + 4/9 = 0.
-2, 1
Let o be (((-30)/(-27))/5)/(5/3). Let a(q) be the first derivative of 0*q + 0*q**2 - 2 - 1/20*q**4 - o*q**3. Find k, given that a(k) = 0.
-2, 0
Let o be ((-28)/8 - -4)/((-1)/(-8)). Let 2*l**4 - 3*l**2 + 4*l - 8 + 12*l - o*l**3 - 3*l**2 = 0. Calculate l.
-2, 1, 2
Suppose 4*j + 4*t = 48 + 36, -12 = -4*t. Let l = 21 - j. Find g, given that -6*g**3 + 0*g**3 + 2*g**l = 0.
0
Let n = 2777/63 - 300/7. Let y(w) be the first derivative of -14/9*w**3 - 8/45*w**5 - n*w**2 - 4/9*w + 1 - 8/9*w**4. Suppose y(s) = 0. Calculate s.
-2, -1, -1/2
Let g(z) be the second derivative of -2*z**6/105 - 2*z**5/5 - 19*z**4/7 - 48*z**3/7 - 164*z - 2. Factor g(j).
-4*j*(j + 3)**2*(j + 8)/7
Let h(p) be the second derivative of 0 + 32/3*p**4 + 77/5*p**5 + 8/3*p**3 + 98/15*p**6 + 0*p**2 - 6*p. Factor h(u).
4*u*(u + 1)*(7*u + 2)**2
Let 15/4 + 7/2*n - 1/4*n**2 = 0. Calculate n.
-1, 15
Let n = 104/5 - 103/5. Suppose 4*b - 6*q = -4*q + 2, -b - 2*q + 13 = 0. Let 1/5*k**b + 0 - n*k**4 + 0*k**2 + 0*k = 0. Calculate k.
0, 1
Factor -1/6*s**4 + 4/3*s**3 + 8/3 - 4/3*s - 5/2*s**2.
-(s - 4)**2*(s - 1)*(s + 1)/6
Let j(q) be the second derivative of -q**4/22 + 4*q**3/33 + 4*q**2/11 - 11*q - 1. Factor j(z).
-2*(z - 2)*(3*z + 2)/11
Let h(f) = -f - 2. Let l be ((-7)/(-4))/((-4)/16). Let u be h(l). Factor u*o**5 - 7*o**4 + 2*o**2 - 4*o**2 + 9*o**3 - 5*o**4.
o**2*(o - 1)**2*(5*o - 2)
Let t(a) = -a + 18. Let f be t(0). Let v be 84/f - 4 - (-1 - -1). Let -1/3*b**2 - 1/3 + v*b = 0. What is b?
1
Determine