 + 80*d + 12 - 23 - 329*d**2 = 0 for d.
-2/47, 2/7
Let q be (-165)/(-33) - (4*1 + -1). Let s = -8 - -11. Determine y so that y**4 - y - 5*y**s + 6*y**3 - y**2 - 2 + q = 0.
-1, 0, 1
Let g(m) be the first derivative of 3*m**5/25 + 3*m**4 - 22*m**3/5 - 6*m**2 + 63*m/5 + 1021. Suppose g(x) = 0. What is x?
-21, -1, 1
Let n be (85 - 83) + (-15)/6 - 3/(-4). Factor -1/2*y + n*y**2 - 2.
(y - 4)*(y + 2)/4
Let t be (-3377)/(-11550) + (-10)/35. Let j(s) be the third derivative of t*s**5 + 0 + 0*s + 0*s**4 + 7*s**2 - 1/15*s**3. Factor j(w).
2*(w - 1)*(w + 1)/5
Solve 128/15*y - 2/5*y**5 - 122/15*y**3 + 104/15 - 10/3*y**4 - 18/5*y**2 = 0.
-13/3, -2, -1, 1
Let c = 159 - 159. Let p(n) be the second derivative of 1/21*n**7 + 5*n - 1/5*n**6 + 0*n**3 + 0*n**5 + c*n**2 + 2/3*n**4 + 0. Solve p(r) = 0 for r.
-1, 0, 2
Let p be (-13)/(273/42)*-1. Suppose -4/15*b - 8/15*b**3 - 2/15*b**4 - 2/3*b**p + 0 = 0. Calculate b.
-2, -1, 0
Let v be (12/(-9))/(2/15). Let u be -4*5/v*2. Factor -2/5*f**u + 0 + 2/5*f**2 - 2/5*f**5 + 2/5*f**3 + 0*f.
-2*f**2*(f - 1)*(f + 1)**2/5
Suppose -2*k + 2*o = -26, 16 = -k + 5*o + 45. Find w such that 18 - 4*w - k - 2*w**2 - 3 = 0.
-3, 1
Let z = -2/437 - -445/1748. Let l(j) be the second derivative of -z*j**4 + 1/3*j**3 + 1/30*j**6 + 0 + 4*j + 0*j**2 + 0*j**5. Factor l(k).
k*(k - 1)**2*(k + 2)
Let u(l) be the third derivative of l**8/560 - 2*l**7/175 - 11*l**6/200 - 3*l**5/50 - 72*l**2. Factor u(o).
3*o**2*(o - 6)*(o + 1)**2/5
Suppose -22*u = -20*u + 4*z - 2, 3*z = -u. Let l(t) be the first derivative of 0*t - 1/6*t**4 + 7 - 2/45*t**5 - 2/9*t**u - 1/9*t**2. Factor l(o).
-2*o*(o + 1)**3/9
Let w(t) be the first derivative of 2*t**3/51 + 14*t**2/17 - 30*t/17 - 10. Let w(v) = 0. What is v?
-15, 1
Let y be -2 - (2/12)/((-1)/21). Factor i**2 + 4 + 6*i - 1/2*i**4 - y*i**3.
-(i - 2)*(i + 1)*(i + 2)**2/2
Suppose 0 = 86*s - 81*s - 10. Let t(m) be the first derivative of -4 - m**s - 3/2*m**4 + 0*m + 2/5*m**5 + 2*m**3. What is y in t(y) = 0?
0, 1
Factor -54/5*p**3 - 72*p**2 - 3/5*p**4 - 210*p - 225.
-3*(p + 3)*(p + 5)**3/5
Let q(i) = 42*i**3 + 20*i**2 - 2*i - 6. Let m(a) = a**2 + a + 1. Let k be ((-6)/(-21))/(1/21). Let b(l) = k*m(l) + q(l). What is v in b(v) = 0?
-1/3, -2/7, 0
Let x be 1 + 1/(6/(-34)). Let q = x + 16/3. Solve 0*g - 2/3*g**4 - q*g**5 + 2/3*g**2 + 0 + 2/3*g**3 = 0.
-1, 0, 1
Suppose 0 = -2*l + 19 - 3. Let -l + 3*o + 6*o**2 - 94*o**3 + 2*o**4 + 5*o + 86*o**3 = 0. What is o?
-1, 1, 2
Let a(s) be the first derivative of 47 + 0*s - 32*s**2 + 2/5*s**5 + 3*s**4 + 0*s**3. Find d, given that a(d) = 0.
-4, 0, 2
Let x = -4487 - -4489. Factor -1/2*m - 3/2*m**3 + 3/2*m**x + 1/2*m**4 + 0.
m*(m - 1)**3/2
Let j be (12 - 1) + (3 - 7 - 4). Find h, given that -2/5*h**2 + 2/5*h**j - 4/5*h + 0 = 0.
-1, 0, 2
Let p = -70754/9 + 7862. Determine v so that -128/9*v + 40/9*v**2 - p*v**3 + 128/9 = 0.
2, 4
Let b(v) = -7*v - 4*v**4 + 11*v**2 - 8*v**5 + 7*v**4 + 9*v**3 + 5*v**2 + 2*v**4. Let c(k) = k**5 - k**2 + k. Let o(l) = -2*b(l) - 18*c(l). Factor o(x).
-2*x*(x + 1)**3*(x + 2)
Let x(m) = m**3 + m**2 + m. Let h = -71 - -49. Let b(y) = -10*y**3 - 12*y**2 - 12*y + 1. Let i be 1 - 1/1 - 2. Let g(j) = h*x(j) + i*b(j). Factor g(o).
-2*(o - 1)**2*(o + 1)
Let d be (-2)/(-5) - 184/(-40). Factor 8*g**3 + 8*g**5 + 28*g**3 - 4*g + 44*g**4 + 4*g**2 + 8*g**d.
4*g*(g + 1)**3*(4*g - 1)
Let f(g) be the third derivative of g**6/12 + 16*g**5/15 + 37*g**4/12 + 10*g**3/3 - 8*g**2 + g. Factor f(y).
2*(y + 1)*(y + 5)*(5*y + 2)
Let d(c) be the third derivative of 0 + 0*c - 1/15*c**5 + 9*c**2 + 0*c**3 + 2/3*c**4. Suppose d(r) = 0. What is r?
0, 4
Let g(r) be the second derivative of 4*r - 3/20*r**5 - 1/2*r**4 + 0*r**3 + 0*r**2 + 0. Factor g(a).
-3*a**2*(a + 2)
Let d(i) be the third derivative of -9/28*i**4 - 9/7*i**3 + 0 + 0*i - 1/420*i**6 - 15*i**2 - 3/70*i**5. Factor d(g).
-2*(g + 3)**3/7
Let j(h) = 4*h**2 - 8*h - 16. Let r(y) = -59*y + 59*y + y**2. Let d(f) = 3*j(f) - 15*r(f). Factor d(w).
-3*(w + 4)**2
Let t = -79019/180 - -439. Let m(v) be the third derivative of -t*v**6 + 0*v**4 + 0 - v**2 + 1/135*v**5 + 1/945*v**7 + 0*v**3 + 0*v. Factor m(u).
2*u**2*(u - 2)*(u - 1)/9
Let i(b) be the first derivative of 0*b**3 + 9/2*b**2 - 1/240*b**5 - 7 + 1/24*b**4 + 0*b. Let a(y) be the second derivative of i(y). Let a(q) = 0. What is q?
0, 4
Let x = 36 - 38. Let b be -1 + x/2 + 5. Factor 0 - 1/5*d**2 + 2/5*d**b - 1/5*d**4 + 0*d.
-d**2*(d - 1)**2/5
Suppose 3 + 25*x - 5 - 16 + 0*x**3 - 3*x**3 - 10*x + 6*x**2 = 0. What is x?
-2, 1, 3
Let g(o) = 4*o**3 - 10*o**2 + 18*o - 9. Let c(k) = -k**3 + k**2 - k. Suppose 0 = -5*h + 4*x + 1, 5*x + 17 = h. Let u(q) = h*c(q) - g(q). Factor u(d).
-(d - 3)**2*(d - 1)
Let q be 24/18*(4 + -1). Let h = 21/5 - q. Factor -h*w**4 + 0*w + 0*w**2 - 2/5*w**3 + 0.
-w**3*(w + 2)/5
Let n = -90 - -126. Suppose -2*k - 5*u = -6, -4*k + 0*k + 2*u + n = 0. Determine r, given that -24*r - 19*r + 4*r**5 + k*r**4 + 39*r - 8*r**2 = 0.
-1, 0, 1
Let k be (2/9)/(4/6). Let r(c) be the second derivative of 5/12*c**4 + 1/30*c**6 + k*c**3 + 0 + 4*c + 0*c**2 + 1/5*c**5. Factor r(l).
l*(l + 1)**2*(l + 2)
Let x(k) = 2*k**2 + 375*k + 8836. Let v(j) = -2*j**2 - j. Let l(n) = v(n) - x(n). Determine h so that l(h) = 0.
-47
Let a be (3 - 8/2)/(4/(-424)). Suppose 37 = -23*o + a. Factor -3/2*v**2 + o + 3/2*v.
-3*(v - 2)*(v + 1)/2
Factor -93*s + 2*s**3 - 98*s - 7*s**3 + 191*s - 20*s**4 + 5*s**5 + 20*s**2.
5*s**2*(s - 4)*(s - 1)*(s + 1)
Let u(q) be the third derivative of -q**8/100800 - q**7/3600 - q**6/600 - 13*q**5/60 + 21*q**2. Let w(f) be the third derivative of u(f). Factor w(c).
-(c + 1)*(c + 6)/5
Let f = 0 + 8. Suppose b = 5*x + 13, -f = -2*b - 0*b + x. Find w, given that 13*w**3 + 5*w**4 + 4*w**4 - 19*w**b - 3*w**2 = 0.
-1/3, 0, 1
Let t(y) be the second derivative of y**7/315 + y**6/36 + y**5/10 + 7*y**4/36 + 2*y**3/9 + 5*y**2 + 18*y. Let o(n) be the first derivative of t(n). Factor o(q).
2*(q + 1)**3*(q + 2)/3
Let y(k) = -2*k**2 + 3*k + 9. Let c(o) = o**2 - 4*o - 9. Let j(a) = a**2 + 17*a + 6. Let u be j(-17). Let f(z) = u*c(z) + 4*y(z). Solve f(g) = 0 for g.
-3
Let g = -25 + 29. Suppose 0 = -3*a - u + 2 + 2, a + 3*u + g = 0. Determine l so that -6*l**4 + 12*l**3 - 9/2*l**5 + 3 + 33/2*l + 27*l**a = 0.
-1, -1/3, 2
Factor -2*w**2 - w**2 - 4*w**2 - 108*w + 3*w**2.
-4*w*(w + 27)
Find a, given that -1/2*a + 3/4 - 1/4*a**2 = 0.
-3, 1
Let c(s) be the second derivative of 0 + 13*s + 1/10*s**5 + 2*s**2 - 1/3*s**3 - 1/3*s**4. Factor c(b).
2*(b - 2)*(b - 1)*(b + 1)
Let s(f) be the third derivative of f**8/147 + 34*f**7/735 - 13*f**5/21 - 32*f**4/21 - 8*f**3/7 - 90*f**2. What is b in s(b) = 0?
-3, -2, -1, -1/4, 2
Let j(m) = -9*m - 3 + 14*m + 2*m**2 - 9*m + 0. Let i be j(3). Factor -1/3*t + 1/3 + 1/3*t**i - 1/3*t**2.
(t - 1)**2*(t + 1)/3
Let o(y) = y + 22. Let w be o(-15). Determine h, given that -w*h + 17*h - h**4 - 12*h + 5*h**2 - 3*h**3 + h**5 = 0.
-2, 0, 1
Let q(r) be the first derivative of -3*r**4/16 + 7*r**3/4 - 21*r**2/4 + 6*r - 10. Factor q(u).
-3*(u - 4)*(u - 2)*(u - 1)/4
Let h(q) be the second derivative of 0 + 0*q**2 + 16*q - 2/27*q**3 + 1/54*q**4. Factor h(o).
2*o*(o - 2)/9
Factor -76/9*s - 2/9*s**2 - 74/9.
-2*(s + 1)*(s + 37)/9
Let f(s) be the second derivative of s**4/42 + s**3/21 + 4*s - 14. Determine w so that f(w) = 0.
-1, 0
Let g be 48/(-48)*(0 - (0 + 2)). Let h(z) be the first derivative of 0*z + 1/18*z**3 + 0*z**g + 2. Factor h(a).
a**2/6
Suppose -195 = 5*t - 205. Factor -732*k + 6*k**3 + t - 3*k**4 + 34 + 21*k**2 + 672*k.
-3*(k - 2)**2*(k - 1)*(k + 3)
Solve -7*s**3 - 4*s**2 - 147*s**5 - 63*s**3 + 194*s**4 + 27*s**5 = 0 for s.
-1/20, 0, 2/3, 1
Let t(y) = 3*y + 26. Let m be t(-9). Let g be (3 - m) + 14 + -1. Determine l so that -g*l + l**4 + 17*l - 2*l**2 + 1 = 0.
-1, 1
Let n(a) be the third derivative of 13*a**8/896 - 9*a**7/560 - 43*a**6/320 + 53*a**5/160 - 3*a**4/32 - a**3/2 + 561*a**2. Suppose n(r) = 0. What is r?
-2, -4/13, 1
Suppose -3*o + 144 = 9. What is y in 107*y**3 - 100*y - 115*y**2 + 181*y**3 - 45*y**5 + 60 - 43*y**3 - o*y**4 = 0?
-3, -2/3, 2/3, 1
Let i = -18 - -2. Let w be 3/(-5) - i/10. Suppose -3*b - w - 2 + 1 - b**2 = 0. Calculate b.
-2, -1
Let s(a) be the second derivative of a**4/60 - 2*a**3/5 + 11*a**2/10 + 119*a. Suppose s(f) = 0. Calculate f.
1, 11
Let c(d) be the sec