hat i(x) = 0.
41
Let q(w) be the second derivative of -w**5/4 + 5*w**4/6 + 35*w**3/6 + 10*w**2 - 61*w. Determine r, given that q(r) = 0.
-1, 4
Suppose -6*l - 24 = 5*y, -5*y + 7*l + 16 = 3*l. Factor -6*s**3 + y + 21/2*s**2 + 3*s.
-3*s*(s - 2)*(4*s + 1)/2
Let z(k) be the second derivative of -k**5/80 + k**3/8 + k**2/4 - 414*k. Factor z(f).
-(f - 2)*(f + 1)**2/4
Let x = 34804 - 34802. Determine o, given that 10/9*o**3 + 0 + 8/9*o - 16/9*o**x - 2/9*o**4 = 0.
0, 1, 2
Let 82/3*d**4 - 6080/7*d**3 + 0 + 65536/21*d - 2/7*d**5 + 63488/7*d**2 = 0. What is d?
-1/3, 0, 32
Factor -76/7*g**3 - 128/7 - 1/7*g**5 - 2*g**4 - 200/7*g**2 - 256/7*g.
-(g + 2)**3*(g + 4)**2/7
Let c(s) = 2*s - 2*s + 1 - s - s**3 + s**2. Let q = 120 - 114. Let l(u) = -3*u**3 - 3*u**2 - 9*u - 1. Let g(f) = q*c(f) - 3*l(f). Let g(h) = 0. What is h?
-3, -1
Let s = -2/47 - 174/329. Let v = 2/21 - s. Factor -4/3*m - 2/3 + 0*m**2 + v*m**4 + 4/3*m**3.
2*(m - 1)*(m + 1)**3/3
Let p(v) be the first derivative of -4 - 1/4*v**4 - 1/20*v**5 + 0*v - 1/2*v**2 - 1/2*v**3. Let u(s) be the second derivative of p(s). Factor u(b).
-3*(b + 1)**2
Determine x so that -22/7*x**2 - 4/7 + 26/7*x = 0.
2/11, 1
Suppose 0 = -103*a + 108*a - 25. Let f(q) be the third derivative of 1/60*q**5 + a*q**2 - 1/8*q**4 + 0 + 0*q**3 + 0*q. Suppose f(x) = 0. What is x?
0, 3
Let o(s) be the third derivative of -7*s**6/200 - s**5/100 + 3*s**4/20 - 297*s**2. Find b, given that o(b) = 0.
-1, 0, 6/7
Let i(h) be the first derivative of 3/4*h**4 + 9/2*h**2 - 27*h + 5*h**3 - 6. Factor i(r).
3*(r - 1)*(r + 3)**2
Let j(b) be the third derivative of -b**6/900 - 4*b**5/225 - b**4/15 + 2*b**2 + 5*b. Factor j(l).
-2*l*(l + 2)*(l + 6)/15
Let o(x) be the first derivative of 12*x**5/5 + 16*x**4 + 68*x**3/3 + 8*x**2 - 360. Factor o(u).
4*u*(u + 1)*(u + 4)*(3*u + 1)
Let v(t) = t**3 - 4*t**2 - 4*t + 1. Let r be v(5). Let a be (r/4)/(3/4). Solve 4*w - 21*w**3 + a*w**2 + 0*w**4 - 2*w**4 - 3*w**3 + 20*w**5 = 0.
-1, -2/5, 0, 1/2, 1
Let z(g) be the third derivative of -g**8/2016 + 19*g**7/1260 - 49*g**6/360 + 31*g**5/180 + 11*g**4/16 - 9*g**3/4 - 17*g**2 + 1. Find i such that z(i) = 0.
-1, 1, 9
Let s = -1572/35 - -327/7. Factor s*a + 3/5*a**2 + 6/5.
3*(a + 1)*(a + 2)/5
Suppose -60*u = -12 + 12. Let o(p) be the second derivative of u + 4/5*p**2 - 1/30*p**4 + 0*p**3 - 8*p. Factor o(d).
-2*(d - 2)*(d + 2)/5
Solve -15/2*s**5 + 80 + 160*s + 50*s**4 - 55/2*s**3 - 255*s**2 = 0.
-2, -1/3, 1, 4
Let z(w) be the first derivative of -3*w**4/4 + w**3 + 9*w**2 - 146. Factor z(a).
-3*a*(a - 3)*(a + 2)
Let g(f) = 9*f**3 + 30*f**2 - 39*f. Let t(u) = -2*u**3 - 6*u**2 + 8*u. Let p(b) = 5*g(b) + 24*t(b). Factor p(r).
-3*r*(r - 1)**2
Determine n so that 2/5*n**5 + 4/5*n**4 + 0*n - 4/5*n**2 + 0 - 2/5*n**3 = 0.
-2, -1, 0, 1
Let m(r) be the first derivative of r**6/270 + r**5/90 - r**4/108 - r**3/27 - 33*r - 43. Let i(g) be the first derivative of m(g). Factor i(l).
l*(l - 1)*(l + 1)*(l + 2)/9
Let o(p) = -3*p**2 + 69*p - 55. Let t(j) = j**2 - 23*j + 18. Let f(h) = -4*o(h) - 11*t(h). Factor f(d).
(d - 22)*(d - 1)
Let r be (0/(-3))/(-11 - -10)*-1. Solve r*x + 0*x**3 - 1/3*x**5 + 0*x**2 + x**4 + 0 = 0 for x.
0, 3
Suppose 152*g**3 - g**4 - 4*g - 335*g**3 + 160*g**3 + 4*g - 22*g**2 = 0. What is g?
-22, -1, 0
Let j(g) be the first derivative of -1/12*g**4 - 3 + 0*g - 1/2*g**2 + 4/9*g**3. Factor j(h).
-h*(h - 3)*(h - 1)/3
Let f = -9 - -31. Suppose -5*t + 23 = -2, -x + f = 4*t. Determine z, given that 0 - 1/3*z**x + 0*z + 0*z**3 + 1/3*z**4 = 0.
-1, 0, 1
Let q be ((-1)/(-3))/(18/162). Solve 9*a**4 + 6*a**q - 2*a**2 - a**2 + 68 - 68 = 0.
-1, 0, 1/3
Suppose -3*o = -0*o - 12. Solve -5*k**2 + o*k**3 + 1 + 8*k - 1 - 7*k**2 = 0.
0, 1, 2
Let a(g) be the first derivative of -2*g**5/45 + g**4/18 + 2*g**3/27 - g**2/9 - 1019. Factor a(n).
-2*n*(n - 1)**2*(n + 1)/9
Let j be (-6)/(((-2)/1 - 9) + 3). Factor 3/4*a**2 + j*a + 0.
3*a*(a + 1)/4
Let w = 15 + -14. Suppose -t + 2 = -6. Solve t*s**2 - 4*s**3 - 4*s**4 - w + 4*s**3 - 3 = 0 for s.
-1, 1
Suppose -5*n + 31 = 6. Solve -24*u**3 + 32*u**4 - 43*u - 38*u + 85*u - 12*u**n = 0 for u.
-1/3, 0, 1
Find k such that 2/5*k + 1/5*k**3 + 3/5*k**2 + 0 = 0.
-2, -1, 0
Suppose -3*o + 2*o + 0*o = 0. Suppose -p + 2 = -o*p. Factor -2*s**p + 0 + 3*s**3 + 1/2*s - 2*s**4 + 1/2*s**5.
s*(s - 1)**4/2
Suppose 11*j - 9*j = 3*r + 2, r + 3*j = 14. Let d(i) be the third derivative of 8*i**r + 0*i**3 + 0*i - 1/105*i**5 + 0 + 1/42*i**4. Let d(a) = 0. What is a?
0, 1
Determine c so that -36*c**4 + 32*c**3 + 92*c**5 + 12*c**4 - 36*c - 41*c**5 - 47*c**5 + 16 + 8*c**2 = 0.
-1, 1, 4
Find v, given that -4*v + v**4 + 3*v**4 + 46*v**3 - 43*v**3 - 37*v**2 + v**5 + 33*v**2 = 0.
-2, -1, 0, 1
Let a(v) = 3*v + 62. Let p be a(-20). Suppose -10/7*i - 6/7 - 4/7*i**p = 0. What is i?
-3/2, -1
Let n(c) = 2*c**3 + 20*c**2 - 26*c + 9. Let q be 0/(-1) - (-25)/5. Let k(t) = 3*t**3 + 21*t**2 - 27*t + 9. Let x(w) = q*k(w) - 6*n(w). Solve x(z) = 0.
1, 3
Let a = 2825 + -2822. Let n be 2/7 + (-26)/(-7). Suppose -1/3*o**n + 0*o + 1/3*o**2 + 0*o**a + 0 = 0. What is o?
-1, 0, 1
Solve -4923*q**2 + 13*q**3 - 102 + 201*q + 4827*q**2 - 16*q**3 = 0 for q.
-34, 1
Let n = 80 - 1915/24. Let w(i) be the first derivative of -1/9*i**3 + 5/12*i**2 + 3 + 1/3*i - n*i**4. Factor w(o).
-(o - 1)*(o + 1)*(5*o + 2)/6
Factor -j**2 + 2/5 + 9/5*j.
-(j - 2)*(5*j + 1)/5
Let x(v) = 2*v**3 - 58*v**2 - 593*v - 5. Let d be x(-8). Factor -96/5*j + 26/5*j**2 - 2/5*j**d + 72/5.
-2*(j - 6)**2*(j - 1)/5
Let c(j) be the first derivative of -j**4/2 - 14*j**3/3 - 6*j**2 + 25. Solve c(z) = 0.
-6, -1, 0
Suppose 26*b**2 + 385 + 1868*b + 151 + 31*b**2 - 94*b**2 + 9*b**2 = 0. What is b?
-2/7, 67
Let y(i) = 9*i**5 - 8*i**4 - 7*i**3 + 16*i**2 + 11*i + 5. Let q(o) = 10*o**5 - 8*o**4 - 6*o**3 + 16*o**2 + 10*o + 6. Let j(v) = -5*q(v) + 6*y(v). Factor j(g).
4*g*(g - 2)**2*(g + 1)**2
Let d(h) = -3*h + 17. Let x be d(5). Determine i, given that 91*i**3 + 91*i**2 + 25*i**3 - 251*i**x - 66*i**3 - 5*i**4 + 160*i = 0.
0, 2, 4
Let d = 16433/3 - 5459. Factor -16/3 - 76/3*h**2 + 2/3*h**5 - 16/3*h**4 + 50/3*h**3 + d*h.
2*(h - 2)**3*(h - 1)**2/3
Let h(l) be the third derivative of -1/15*l**5 + 2*l**3 + 1/3*l**4 + 0*l + 0 - 8*l**2. Let h(g) = 0. Calculate g.
-1, 3
Let s be 10/15*1069/6. Let t = 119 - s. Factor 0 + 2/9*w**2 + t*w.
2*w*(w + 1)/9
Factor 8/11*c**2 + 0*c + 2/11*c**4 - 8/11*c**3 + 0.
2*c**2*(c - 2)**2/11
Let v(f) = -5*f**2 + 3. Let a(g) = 6*g**2 - 2. Let i(l) = -6*a(l) - 7*v(l). Let k(n) = 3*n. Let p(q) = -3*i(q) + 6*k(q). What is w in p(w) = 0?
-3
Let p = 3 + -4. Let f be p - -4 - (5 + -3). Find s, given that -s + f + 5*s - 2 - 2*s - s**2 = 0.
1
Let i(f) = 3*f**3 - f**2 - 7*f - 11. Let o be i(7). Let m be -1*(-5 + 1)*138/o. Let -9/5*l**2 - 6/5*l + 0*l**3 + 0 + m*l**4 = 0. Calculate l.
-1, 0, 2
Let b(t) = -t**4 - 323*t**2 + 327*t**2 - 6 - 6*t + t**3 + 8*t**3. Let k(w) = -10*w**3 - 5*w**2 + 5*w + 5. Let x(q) = -5*b(q) - 6*k(q). Let x(y) = 0. What is y?
-2, -1, 0
Let z(y) be the third derivative of y**5/510 + 11*y**4/102 + 61*y**2. Factor z(u).
2*u*(u + 22)/17
Let k be -2*4/8*(-18)/99. Factor -k*p - 4/11 + 4/11*p**2 + 2/11*p**3.
2*(p - 1)*(p + 1)*(p + 2)/11
Suppose 6 = 4*w - 2. Factor g + 14*g**2 + 8*g**3 - 4*g**w + 2*g - g.
2*g*(g + 1)*(4*g + 1)
Let o(j) = j**3 + 27*j**2 + 24*j - 32. Let a be o(-26). Factor 14*c - 3*c**2 + a*c + 15*c + c**3 - 47*c.
c*(c - 2)*(c - 1)
Let u = -2298/721 + 446/103. Factor -2/7*t**2 + 10/7*t - u.
-2*(t - 4)*(t - 1)/7
Let l(f) be the second derivative of -10/3*f**4 - f + 13 + 5/42*f**7 - 1/2*f**5 - 35/6*f**3 + 1/3*f**6 - 5*f**2. Factor l(g).
5*(g - 2)*(g + 1)**4
Let w be 121/198 + (-1 - (-4 + 28/9)). Factor 1/2*n**2 + n + w.
(n + 1)**2/2
Let a(l) be the third derivative of -l**5/15 - l**4 - 10*l**3/3 + 3*l**2 + 25*l. Suppose a(f) = 0. Calculate f.
-5, -1
Let a(b) = -3*b - 33. Let p be a(-12). Suppose -6*n - p = -3. Determine y so that -3*y**4 + 2/3*y**3 + 7/3*y**5 + 0*y**2 + 0 + n*y = 0.
0, 2/7, 1
Find x such that 16/3*x + 1/6*x**5 + 0 + 6*x**3 - 28/3*x**2 - 5/3*x**4 = 0.
0, 2, 4
Let u(m) = 4*m**2 - 16*m + 37. Let l(b) = 3*b**2 - 16*b + 33. Let y(c) = 5*l(c) - 4*u(c). Determine t so that y(t) = 0.
-17, 1
Let f(k) = -4*k**3 + 12*k**2 - 25*k + 24. Let p(u) = -u**3 + 2*u**2 - u. Let t(j) = -f(j) + 5*p(j). Solve t(l) = 0 for l.