b**4 - 5*b**3 - 25*b**2 - 30*b. Let u be (-24)/2*3/(6/(-5)). Let d(j) = u*f(j) + v(j). Solve d(c) = 0 for c.
-1, 0, 1
Let g be (-1)/(3 - (-26)/(-8)). Suppose g*y - 4 = 4. Factor 14 + 2*k**y - 14.
2*k**2
Let u(a) be the second derivative of -a**7/7 - a**6/6 + 13*a**5/20 - a**4/6 - 177*a. Find q such that u(q) = 0.
-2, 0, 1/6, 1
Let d = 18 + 81. Let r = 103 - d. Determine g, given that -7/2*g**r - 2 - 8*g - 19/2*g**3 - 1/2*g**5 - 25/2*g**2 = 0.
-2, -1
Solve -21*w**2 - 3*w + 91*w + 121*w**2 + 5*w**3 + 97*w + 90 = 0 for w.
-18, -1
Let n(t) be the third derivative of 0*t**3 + 1/60*t**6 + 24*t**2 - 1/9*t**4 + 0 + 0*t + 0*t**5 - 1/315*t**7. Factor n(u).
-2*u*(u - 2)**2*(u + 1)/3
Suppose -177*h + 190 = -82*h. Factor -8/5*u - 8/5 - 2/5*u**h.
-2*(u + 2)**2/5
Let i be (-6)/(-40)*53/((-7155)/(-75)). Factor 0 + 0*w + 0*w**3 + 1/12*w**4 - i*w**2.
w**2*(w - 1)*(w + 1)/12
Let n(b) = 5*b**2 + 24*b - 27. Let h(q) = 8*q + 6*q - q**2 - 20*q + 7. Let y(l) = 18*h(l) + 4*n(l). Let y(u) = 0. What is u?
3
Let s(d) be the second derivative of 0 + 1/14*d**4 - 23*d + 9/7*d**2 - 4/7*d**3. Factor s(c).
6*(c - 3)*(c - 1)/7
Let a = -16019 - -16023. Factor -6 + 16/3*g**2 + a*g**3 + 2/3*g**4 - 4*g.
2*(g - 1)*(g + 1)*(g + 3)**2/3
Let f(d) be the second derivative of -1/3*d**4 - 1/6*d**2 - 11/36*d**3 + 0 - 7/90*d**6 + 22*d - 13/60*d**5 - 1/84*d**7. Factor f(n).
-(n + 1)**4*(3*n + 2)/6
Let d = -1859/10 - -186. Let q(p) be the third derivative of -4*p**2 + 0*p + 13/20*p**6 + 0*p**3 + p**5 + 0 + d*p**7 - p**4. Solve q(m) = 0 for m.
-2, 0, 2/7
Let a(i) be the third derivative of 1/4*i**4 - 2*i - 4*i**3 + 0 + 1/20*i**5 + 7*i**2. Factor a(q).
3*(q - 2)*(q + 4)
Let m(u) be the first derivative of 2*u**3/3 - 41*u**2/7 - 12*u/7 - 10. Suppose m(t) = 0. What is t?
-1/7, 6
Suppose h = 1 + 5. Suppose 8*u - h*u = 4. Let -1/5*r**u - 3/5*r - 2/5 = 0. What is r?
-2, -1
Let v(f) = -21*f**2 + 3000*f - 105825. Let b(p) = 6*p**2 - 857*p + 30236. Let d(l) = 18*b(l) + 5*v(l). Factor d(y).
3*(y - 71)**2
Let n(x) be the second derivative of -x**5/150 + 37*x**4/90 + x**3/45 - 37*x**2/15 - 2*x + 302. Factor n(p).
-2*(p - 37)*(p - 1)*(p + 1)/15
Let j(i) be the second derivative of -i**7/63 - i**6/9 - i**5/5 + i**4/9 + 7*i**3/9 + i**2 - 198*i. Suppose j(x) = 0. Calculate x.
-3, -1, 1
Suppose 0*z**2 - 5/6 + 5/3*z**3 - 5/3*z + 5/6*z**4 = 0. Calculate z.
-1, 1
Let r(p) be the second derivative of p**7/63 + p**6/9 + p**5/10 - p**4/2 - 17*p + 2. Factor r(d).
2*d**2*(d - 1)*(d + 3)**2/3
Let q(z) be the first derivative of -1/4*z**3 + 0*z - 6 - 1/2*z**2 + 1/16*z**4. Determine w so that q(w) = 0.
-1, 0, 4
Let m(u) be the first derivative of 12 + 3/16*u**4 + 3/4*u**3 + 9/8*u**2 + 3/4*u. Factor m(a).
3*(a + 1)**3/4
Suppose 0 = 2*a - 2*j - 16, -a + 3*j = -j - 23. Suppose 3*b = 4*b - 3. Factor 5*o**2 + b - a - 2*o**2.
3*o**2
Suppose 5*t = -4 - 1. Let k be (6/(-1) + -3)*t. Factor k*c**2 - 11*c**2 + 4*c + 2*c**4 - 2*c - 5*c**3 + 3*c**3.
2*c*(c - 1)**2*(c + 1)
Suppose 9*o = 10*o + 18. Let a be (-1)/(2/o*3). Factor 1/4*s**a + 5/4*s - s**2 - 1/2.
(s - 2)*(s - 1)**2/4
Suppose -5*q + 4*o + 0*o + 18 = 0, -o = 3*q - 4. Factor -40*k**4 - 29*k**4 + 39*k**4 - 40*k**q + 60*k**3 + 5*k**5.
5*k**2*(k - 2)**3
Let w be (-3)/105 + 63/630. Let y(p) be the second derivative of 0*p**2 - 2*p + 0*p**3 + 0 + 1/15*p**6 + 0*p**5 + 0*p**4 + w*p**7. Determine b so that y(b) = 0.
-2/3, 0
Let z(u) be the second derivative of -u**4/24 - 5*u**3/12 - u**2 + 173*u. Determine w so that z(w) = 0.
-4, -1
Determine j so that -22 + 114*j - 33 + 268*j**2 - 247*j**2 + 15 - 32 = 0.
-6, 4/7
Let i(j) = 6*j**2 + 62*j - 66. Let b(k) = -19*k**2 - 187*k + 199. Let m(h) = -2*b(h) - 7*i(h). Factor m(l).
-4*(l - 1)*(l + 16)
Let t(a) be the third derivative of a**7/420 + a**6/24 + 13*a**5/120 - 5*a**4/4 + 3*a**3 - 313*a**2. Factor t(x).
(x - 1)**2*(x + 6)**2/2
Let m = -5423 + 10851/2. What is u in m*u + 5/4*u**2 + 5/4 = 0?
-1
Let p be ((-108)/432)/((0 - 0) + (-18)/192). Solve 5/3*d**4 + 28/3*d**2 - p*d - 22/3*d**3 + 0 = 0 for d.
0, 2/5, 2
Let b(z) be the first derivative of -z**5 - 103*z**4/16 - 13*z**3/12 + 5*z**2/4 - 88. Suppose b(k) = 0. Calculate k.
-5, -2/5, 0, 1/4
Suppose -20*a + 16*a + 20 = 0. Let l(t) = t**3 - 8*t**2 + 15*t + 2. Let m be l(a). Factor -2/3*b**3 - m*b**2 + 0 - 4/3*b.
-2*b*(b + 1)*(b + 2)/3
Let c(x) be the first derivative of 5*x**6/8 - 27*x**5/10 - 69*x**4/16 + 21*x**3 + 27*x**2/2 - 196. Suppose c(j) = 0. What is j?
-2, -2/5, 0, 3
Let p be ((-22)/3)/(6/(-9)). Suppose 0 = -4*v + p + 5. Factor -6*c**2 + 4*c**2 + 2*c**2 + c**v.
c**4
Let x be 1000/28 + (-8)/(-28). Factor -x*v - 5*v**2 - 43*v + 64*v.
-5*v*(v + 3)
Factor 0 - 1/2*u**2 + 22*u.
-u*(u - 44)/2
Let z = 1147/82236 - 2/979. Let w(x) be the third derivative of z*x**4 - 1/210*x**5 - 3*x**2 + 2/21*x**3 + 0 + 0*x. Find d such that w(d) = 0.
-1, 2
Let x be 5/2 + (-124)/62. Find v, given that -x*v**4 + 1/2*v**5 + 0 + 1/2*v**2 - 1/2*v**3 + 0*v = 0.
-1, 0, 1
Let r be ((-28)/21)/((-6)/9). Suppose -8 = -2*c - z, r*z = z + 4. Factor -7*t**c - 9*t + 10*t**2 + 4 + 2.
3*(t - 2)*(t - 1)
Let r(t) be the third derivative of 1/60*t**5 + 0*t**4 + 0*t + 0*t**3 + 0 + 10*t**2. Factor r(b).
b**2
Let i = -494 - -846. Let -272*s - i*s + 166 + 193*s**2 + 483*s**2 - 22 = 0. Calculate s.
6/13
Let a = 179 - -93. Let i = a + -268. Factor -f**3 + f + 3/5*f**i - 2/5 - 1/5*f**2.
(f - 1)**2*(f + 1)*(3*f - 2)/5
Let g(v) = 176*v + 2644. Let b be g(-15). Determine i so that -2/13*i**3 + 4/13 + 2/13*i**b + 2/13*i - 6/13*i**2 = 0.
-1, 1, 2
Suppose 4*i + 2*g = 2 + 10, 4*g - 15 = i. Let y be i/2*9/((-567)/(-28)). Find k, given that 2/3*k + y*k**2 - 8/9 = 0.
-4, 1
Find o such that 562*o**4 + 75*o**3 - 559*o**4 + 78 - 36*o**2 - 75*o - 35*o**2 - 10*o**2 = 0.
-26, -1, 1
Let d(v) be the third derivative of v**5/40 + 7*v**4/8 + 49*v**3/4 - 18*v**2 - 3. Let d(z) = 0. What is z?
-7
Let s(j) be the first derivative of -6/7*j + 20 + 2/7*j**3 - 3/28*j**4 + 3/14*j**2. Let s(t) = 0. What is t?
-1, 1, 2
Let h(s) = 2*s**2 + 2. Let z(v) be the second derivative of v**4/6 + v**3/6 + v**2 - v - 7. Let i(j) = -5*h(j) + 4*z(j). Determine f, given that i(f) = 0.
1
Let u(i) be the first derivative of -i**6/3 + 2*i**5/5 + 5*i**4/2 + 2*i**3 - 98. Let u(x) = 0. What is x?
-1, 0, 3
Determine b, given that -42*b**2 - 189*b - 21*b**3 - 160 + 39*b**3 - 19*b = 0.
-4/3, 5
Let q(g) be the third derivative of -1/80*g**6 + 0 + 0*g**3 + 0*g**5 + 1/448*g**8 + 0*g**4 + 1/280*g**7 - 2*g**2 + 0*g. Solve q(u) = 0.
-2, 0, 1
Suppose -5*a = -7*a + 16. Let o = 0 + a. Factor o*r - r + 0*r - 2*r + 5*r**2.
5*r*(r + 1)
Let c(b) = b**2 - 9*b - 65. Let m be c(14). Let o = m - 2. Solve 0 - 4/3*u**o - 4/9*u**5 - 4/3*u**4 + 0*u - 4/9*u**2 = 0 for u.
-1, 0
Let z(c) be the first derivative of -5*c**3/3 + 20*c**2 - 43. Factor z(t).
-5*t*(t - 8)
Let l(j) = -3*j**5 + j**4 - j**2 - j - 1. Let h(y) = 2*y**5 - 4*y**4 + 6*y**3 + 27*y**2 + 28*y + 10. Let i(a) = -h(a) - l(a). Factor i(z).
(z - 3)*(z + 1)**3*(z + 3)
Let z(l) be the first derivative of l**5/12 - 5*l**4/6 + 5*l**3/2 - 31*l**2/2 + 16. Let d(q) be the second derivative of z(q). Factor d(j).
5*(j - 3)*(j - 1)
Let j(b) be the third derivative of b**9/30240 - b**8/4032 + b**7/5040 + b**6/360 - b**5/4 - 7*b**2. Let w(q) be the third derivative of j(q). Factor w(k).
(k - 2)*(k - 1)*(2*k + 1)
Suppose 6*r = -7*r + 26. Let a be 91/42 - r/(-4). Determine l, given that -4/3 - 49/3*l**3 + a*l - 520/3*l**4 + 83/3*l**2 - 400/3*l**5 = 0.
-1, -2/5, 1/4
Suppose -4*u = -4*n + 64, 4*u + 21 = 3*n - 32. Suppose s - 3 = n. Determine o so that -6*o**2 - 6*o + 30*o**2 - s*o**3 - 10 + 6 = 0.
-2/7, 1
Let x(b) = -3*b**2 + 390*b - 14700. Let t(f) = -3*f**2 + 384*f - 14700. Let v(c) = 5*t(c) - 6*x(c). Find z, given that v(z) = 0.
70
Determine m so that 30/7*m + 0 - 3*m**2 + 3/7*m**3 = 0.
0, 2, 5
Suppose -47*l = -45*l - 12. Factor l*x**2 + 6/11 - 38/11*x - 18/11*x**3.
-2*(x - 3)*(3*x - 1)**2/11
Let t = 151 + -129. Let j be 55/21 + t/(-77). Let 3*a + 2/3 + j*a**2 = 0. Calculate a.
-1, -2/7
Let n(j) = 60*j**3 - 145*j - 155. Let v(m) = 5*m**3 - 12*m - 7 - 11 + 5. Let g(r) = 3*n(r) - 35*v(r). Find z, given that g(z) = 0.
-1, 2
Let d(w) be the first derivative of 3*w**5/5 - 15*w**4/4 + 8*w**3 - 6*w**2 - 78. Factor d(r).
3*r*(r - 2)**2*(r - 1)
Let h(l) be the second