7. Suppose h(m) = 0. Calculate m.
-14, 1/2, 2
Let v be -10 + (176/2)/8. Let i(f) be the first derivative of -28/5*f**5 + 20/3*f**3 + 18*f**2 - 9*f**4 + 8*f - v. Determine c so that i(c) = 0.
-1, -2/7, 1
What is k in 270/11 - 2/11*k**4 - 216/11*k + 36/11*k**2 + 8/11*k**3 = 0?
-5, 3
Let l be ((-36)/10 + 3)*(-350)/70. Factor -3/5*d**4 + 0 + 2/5*d**l + 0*d + 0*d**2 + 1/5*d**5.
d**3*(d - 2)*(d - 1)/5
Suppose -12*k - 26 + 98 = 0. Let d(j) be the second derivative of 1/80*j**5 - 3*j + 0*j**2 - 1/48*j**4 + 0 - 1/24*j**3 + 1/120*j**k. Factor d(l).
l*(l - 1)*(l + 1)**2/4
Let j(g) be the second derivative of 9*g**5/4 + 445*g**4/4 - 920*g**3/3 + 310*g**2 - 436*g. Factor j(n).
5*(n + 31)*(3*n - 2)**2
Let f(j) = -6*j**2 - 380*j + 3658. Let a(p) = -p**2 - 76*p + 731. Let u(l) = -16*a(l) + 3*f(l). Solve u(c) = 0 for c.
19
Let h(k) be the first derivative of 5*k**3/3 + 15*k**2 + 190. Factor h(i).
5*i*(i + 6)
Factor -136/13*m - 2/13*m**2 + 138/13.
-2*(m - 1)*(m + 69)/13
Suppose -5*q - 8 = -28. Suppose -q*d - 4 = -6*d. Let -3*u + 2 + 2*u**3 - 3*u + d = 0. Calculate u.
-2, 1
Let t(r) be the second derivative of r**6/90 - r**5/30 + 5*r**3/6 + 21*r. Let c(n) be the second derivative of t(n). Determine f, given that c(f) = 0.
0, 1
Let r(x) be the first derivative of x**6/15 + 4*x**5/25 - x**4/5 - 16*x**3/15 - 7*x**2/5 - 4*x/5 - 80. Factor r(b).
2*(b - 2)*(b + 1)**4/5
Let f(k) be the third derivative of 5/2*k**3 + 0 + 1/12*k**5 + 0*k + 9*k**2 - 5/6*k**4. Factor f(b).
5*(b - 3)*(b - 1)
Suppose 13*i - i = 0. Determine a so that i - 1/5*a**3 + 0*a - 1/5*a**4 + 0*a**2 = 0.
-1, 0
Let t = 16 - 20. Let g be 8 - (7 + t + 1). Suppose -2*z**4 + 9*z**4 - 4*z**g = 0. Calculate z.
0
Let f(p) = 2*p**2 - 15*p + 13. Let q be f(1). Solve -4/7*x**2 + 0*x + 2/7*x**4 + q*x**3 + 2/7 = 0 for x.
-1, 1
Let k(o) be the first derivative of 2*o**3/33 + 59*o**2/11 - 456. Factor k(a).
2*a*(a + 59)/11
Let g(u) be the first derivative of 7*u**4/22 + 2*u**3 + 18*u**2/11 - 16*u/11 - 95. Determine f, given that g(f) = 0.
-4, -1, 2/7
Let q = -5388 - -5391. Determine a so that -12*a - 3*a**2 - 16 - 1/4*a**q = 0.
-4
Suppose 5*s - c = 53, 30 = 4*s - c - 13. Let d be (s/(-6))/(115/(-414)). Factor -d*k**2 - 14/3*k + 4/3.
-2*(k + 1)*(9*k - 2)/3
Let m = 511 + -511. Let v(n) be the second derivative of 0*n**2 + 0*n**3 + 0 - 1/75*n**6 - 1/50*n**5 + 2/105*n**7 + m*n**4 + 6*n. What is h in v(h) = 0?
-1/2, 0, 1
Let k(q) be the second derivative of -q**7/63 + 7*q**6/45 - q**5/2 + 13*q**4/18 - 4*q**3/9 - 338*q. Factor k(b).
-2*b*(b - 4)*(b - 1)**3/3
Let m(a) be the first derivative of -23 + 0*a + 10/3*a**3 - 15/2*a**2 - 1/4*a**5 + 5/16*a**4. Factor m(c).
-5*c*(c - 2)**2*(c + 3)/4
Let k be (12/8)/(3/16). Solve -5*v - k*v**5 + 2*v**3 + 4*v**2 + 6*v**4 + 5*v + 16*v**3 = 0.
-1, -1/4, 0, 2
Let n(w) = 8*w**4 + 83*w**3 - 96*w**2 - 5*w - 5. Let u(t) = -t**4 + 2*t**3 + t + 1. Let i(m) = -n(m) - 5*u(m). Factor i(l).
-3*l**2*(l - 1)*(l + 32)
Let x = 253/3324 - -2/277. Let u(z) be the third derivative of -1/3*z**3 + 1/8*z**4 + 0*z + z**2 + x*z**5 + 0. Let u(s) = 0. Calculate s.
-1, 2/5
Suppose 7*p + 6 = 69. Suppose p*v - 29 = -11. Factor 1/4*a**3 + 0*a**v + 0*a + 0*a**4 + 0 - 1/4*a**5.
-a**3*(a - 1)*(a + 1)/4
Let r(b) be the second derivative of -4*b + 0*b**3 - 1/100*b**5 + 0 - 1/200*b**6 + 3/2*b**2 + 0*b**4. Let z(x) be the first derivative of r(x). Factor z(j).
-3*j**2*(j + 1)/5
Let x(b) = -2*b**2 - 34*b + 78. Let c be x(-19). Factor -1/2*y**c + 0*y + 2/3 - 1/6*y**3.
-(y - 1)*(y + 2)**2/6
Let y = 33429 + -167142/5. Factor 1/5*r**3 + 0 - y*r**2 + 2/5*r.
r*(r - 2)*(r - 1)/5
Suppose -454*f - 70 = -464*f. Let l(i) be the second derivative of 1/6*i**4 + 0*i**3 - f*i + 0 - i**2. Factor l(c).
2*(c - 1)*(c + 1)
Let q(n) be the second derivative of 0 + 1/4*n**5 + 35/6*n**3 - 10/3*n**4 - 20*n + 0*n**2. Factor q(b).
5*b*(b - 7)*(b - 1)
Let v(c) be the first derivative of -17 - 4/3*c**3 - 16*c + 10*c**2. Let v(q) = 0. What is q?
1, 4
Suppose -5*l + 71 = 211. Let w be (-50)/l + (-14)/49. Factor -3/2*s - w*s**2 - 1/2*s**3 - 1/2.
-(s + 1)**3/2
Let f(q) = -7 - 20*q**3 + 2*q**2 - 1 - q**2 + 11*q. Let u(j) = -5*j**3 - 46 + j**3 - 3*j**3 + 4*j + 43. Let v(x) = 3*f(x) - 8*u(x). Suppose v(b) = 0. What is b?
-1/4, 0, 1
Let n(y) = -3 + 2*y**3 - 2*y + 5*y + 7*y**2 - 2*y**2. Let c = 43 + -39. Let t(u) = u**3 + 6*u**2 + 4*u - 4. Let i(g) = c*n(g) - 3*t(g). Factor i(l).
l**2*(5*l + 2)
Let 1/7*w**5 + 0*w + 3/7*w**2 + 0 - 3/7*w**4 - 1/7*w**3 = 0. What is w?
-1, 0, 1, 3
Let d(g) be the third derivative of 5*g**6/216 - g**5/4 - 5*g**4/9 + 5*g**3/6 - 3*g**2. Let a(r) be the first derivative of d(r). Solve a(l) = 0.
-2/5, 4
Let l(d) = -7*d**3 - 2*d**2 + 1. Let w be l(-1). Suppose 0 = -3*r + 75 + w. Find h, given that r*h**3 + 18*h**2 - 26*h - 7*h + 6 + 18*h**2 = 0.
-2, 1/3
What is x in -13*x**4 + 71*x**2 - 75 + 18*x**4 - 226*x**2 - 69*x + 129 - 27*x**3 = 0?
-3, -1, 2/5, 9
Suppose -3*x = g + 3, g - 1 + 0 = -x. Factor -2/5*n**g - 1/5*n**4 + 0*n + 0 - 1/5*n**2.
-n**2*(n + 1)**2/5
Let j be 10/(-24)*(-633)/1055. Factor -a**2 - 1/2 - 5/4*a - j*a**3.
-(a + 1)**2*(a + 2)/4
Suppose -55 = -3*q - 1. Let y = -16 + q. Factor y*p + p - 2*p**2 - p.
-2*p*(p - 1)
Let f(m) be the third derivative of -2*m**7/735 - m**6/105 + m**5/21 + m**4/7 + 9*m**2 + 5*m. Factor f(u).
-4*u*(u - 2)*(u + 1)*(u + 3)/7
Let x = 21 + -15. Suppose -2*w + x = 2. What is i in 10*i**2 + 6*i + 6*i**3 - 3*i**3 - i**w = 0?
-2, -1, 0
Let i = 7387 - 7383. What is b in -2/7*b**i + 1/7*b**5 + 0*b**3 - 1/7*b + 2/7*b**2 + 0 = 0?
-1, 0, 1
Let z(h) = -h**2. Let i(j) = 5*j**2 + 20*j + 16. Let r(t) = -i(t) - z(t). Solve r(q) = 0 for q.
-4, -1
Factor -1/3*y**2 + 19/3*y - 6.
-(y - 18)*(y - 1)/3
Let n(r) = r**4 + r**3 + r**2 + 1. Let i(b) = 4*b**4 - 4*b**3 - 10*b**2 - 8*b + 6. Let o be 1/2*2 - 0. Let s(q) = o*i(q) - 6*n(q). What is v in s(v) = 0?
-2, -1, 0
Let p = 101 - 99. Let y be ((-1)/p)/((-21)/14). Factor 1/3*t**2 - y*t**3 + 0*t + 0.
-t**2*(t - 1)/3
Let x(h) be the third derivative of 1/42*h**7 + 25/6*h**4 + 0*h + 0 + 7/24*h**6 + 3/2*h**5 - 24*h**2 + 20/3*h**3. Find y such that x(y) = 0.
-2, -1
Let u(j) = -j**2 + 51*j + 222. Let f be u(-4). Let z(i) be the second derivative of 0*i**f + 9/4*i**4 - i**3 - 5*i + 0. Factor z(g).
3*g*(9*g - 2)
Factor 0 + 0*i + 196*i**2 - 210*i**3 - 1/4*i**5 + 57/4*i**4.
-i**2*(i - 28)**2*(i - 1)/4
Let m be ((-9)/(-5) - 2) + (-55)/(-25). Let h(r) be the first derivative of -2/3*r**6 + 16*r + 3 - 16*r**m + 4/3*r**3 + 5*r**4 - 4/5*r**5. Factor h(u).
-4*(u - 1)**3*(u + 2)**2
Let -7*k + 31*k**4 + 7*k - 34*k**4 - 6*k**2 + 9*k**3 = 0. What is k?
0, 1, 2
Suppose 4/3 + 20/3*p + 16/3*p**2 = 0. What is p?
-1, -1/4
Let r = 124/3 + -12397/300. Let k(m) be the third derivative of -1/10*m**3 + 0 + 0*m + 0*m**4 + r*m**5 - m**2. Find x, given that k(x) = 0.
-1, 1
Let b(v) = -5*v**2 + 5*v + 10. Let x(d) = -2*d**2 - 2*d - 1. Let l be x(0). Let u(m) = m**3 + m**2. Let w(f) = l*b(f) + 5*u(f). Suppose w(a) = 0. Calculate a.
-2, -1, 1
Suppose -3 = -2*d + 3. Factor 1 + 36*i**2 - 1 - 48*i**d + 20*i**4 - 8*i.
4*i*(i - 1)**2*(5*i - 2)
Let y(o) be the second derivative of o**6/90 + o**5/20 - 2*o**3/9 + 24*o + 1. Suppose y(n) = 0. What is n?
-2, 0, 1
Find q such that -2/3*q**4 + 2*q**2 + 4/3*q**3 - 16/3*q + 8/3 = 0.
-2, 1, 2
Let v(x) be the second derivative of -x**5/12 - 65*x**4/36 + 215*x**3/9 - 60*x**2 - 182*x. Factor v(k).
-5*(k - 4)*(k - 1)*(k + 18)/3
Let w(c) be the second derivative of 3*c**5/20 + 19*c**4/18 - 37*c**3/18 - 5*c**2/3 + 3*c + 5. Let w(m) = 0. Calculate m.
-5, -2/9, 1
Suppose 8*w + 0*w - 288 = 0. Find l such that 4 + w*l**2 - 6*l - 2*l - 32*l**2 = 0.
1
Let x(u) be the first derivative of u**6/6 + u**5 + 25*u**4/12 + 5*u**3/3 + 14*u - 16. Let c(j) be the first derivative of x(j). What is r in c(r) = 0?
-2, -1, 0
Suppose 0*g**3 - 12*g**3 - 59*g + 92*g**2 + 142*g + 2 + 57*g + 34 = 0. What is g?
-1, -1/3, 9
Let c be (-468)/(-91) - 3/21. Let s(j) be the third derivative of -12*j**2 - 7/40*j**6 + 0*j**3 + 0 + 0*j + 1/4*j**4 - 1/4*j**c. Factor s(t).
-3*t*(t + 1)*(7*t - 2)
Let g be (32/(-56))/(208/(-4914)). Solve -1458 - 243*m - 1/4*m**3 - g*m**2 = 0 for m.
-18
Let o(n) be the first derivative of 3*n**4/4 - 3*n**3 - 6*n**2 + 48. Factor o(y).
3*y*(y - 4)*(y + 1)
Let r(v) = 2*v**5 + v**4 - v**3 +