- 3 = -2*b + 5*d. Determine y so that -10*y**3 - 60*y**4 + 224*y**2 - 262*y**3 + 64 + 13*y**5 + 13*y**b + 288*y + 24*y**5 = 0.
-2, -2/5, 2
Suppose -5*a = -8*a + 9. Solve 2*z**2 - 2*z**3 + z + a*z**3 + 0*z**3 = 0 for z.
-1, 0
Let m(r) be the second derivative of -11*r**7/42 + 3*r**6/4 - 3*r**5/5 + r**4/24 + 193*r. Factor m(z).
-z**2*(z - 1)**2*(22*z - 1)/2
Suppose -21*a = -15*a - 30. Suppose -a*i**4 + 0*i**2 + 5*i**5 - 15*i**3 + 5*i**2 + 10*i + 0*i**4 = 0. Calculate i.
-1, 0, 1, 2
Let z = 14 - 13. Let b(m) = -5*m**3 - m - 6. Let l(x) = x + 1. Let k(y) = z*b(y) + 6*l(y). Determine p, given that k(p) = 0.
-1, 0, 1
Let w(a) = -2*a**4 - a**3 + a**2 - a - 1. Let x(u) = 53*u**4 - 371*u**3 + 436*u**2 - 136*u + 4. Let z(f) = -4*w(f) - x(f). Find c such that z(c) = 0.
0, 2/3, 7
Let w(f) be the third derivative of -f**8/448 - f**7/56 + f**6/2 - 7*f**5/2 + 25*f**4/2 - 26*f**3 - 2*f**2 + 155. Solve w(x) = 0 for x.
-13, 2
Let b = 12/5 - 26/15. Let g(a) = -7*a + 144. Let z be g(20). Solve -4/3*t**3 + 0*t - b*t**z - 2/3*t**2 + 0 = 0.
-1, 0
Let g(q) be the third derivative of -q**6/3240 - q**5/180 - 5*q**4/216 + 4*q**3/3 - q**2. Let z(h) be the first derivative of g(h). Factor z(n).
-(n + 1)*(n + 5)/9
Let p(s) = -s + 11. Let q be p(5). Let w be (q/(-30))/(1/(-12)). Determine o so that -4/5*o**3 + 0 - w*o + 16/5*o**2 = 0.
0, 1, 3
Let l(n) = -2*n**3 + n**2 + n - 1. Let i be l(1). Let p = 2 - i. Factor 2*g**3 - 9*g**4 - 5*g**3 + 2*g - 13*g**p - 5*g**2.
-g*(g + 1)**2*(9*g - 2)
Suppose -7*j + 4 = -6*j. Determine q, given that -6*q**4 - 3*q**3 + 8*q**j - q**3 = 0.
0, 2
Find d such that -1682 + 1654*d**2 - 2*d**3 - 1566*d + 1525*d**2 - 3065*d**2 = 0.
-1, 29
Suppose -s - 4 + 7 = 0. Factor -5*q**s - 3*q**4 + 6*q**4 - 4*q**4 - 4*q**4.
-5*q**3*(q + 1)
Let m(c) be the third derivative of -c**8/2016 + c**7/420 - c**6/360 + 84*c**2 + 2. Factor m(n).
-n**3*(n - 2)*(n - 1)/6
Let f = 29 - 26. Suppose 22 = 4*z - 6. Factor -56*b**f - 3 - 27*b**4 + 1 - z*b**4 + 0*b - 16*b - 44*b**2 - 8*b**5.
-2*(b + 1)**4*(4*b + 1)
Let f(r) be the second derivative of -r**5/5 - 5*r**4/3 + 16*r**3/3 + 96*r**2 + 9*r - 3. Let f(w) = 0. What is w?
-4, 3
Let x(f) be the third derivative of f**7/210 + f**6/120 - f**5/15 - f**4/6 + 8*f**2 + 14*f. Determine y so that x(y) = 0.
-2, -1, 0, 2
Let x(i) be the third derivative of 1/90*i**5 + 1/180*i**6 + 0 + 0*i**3 + 0*i - 19*i**2 + 0*i**4. Factor x(o).
2*o**2*(o + 1)/3
Let q(b) = b**3 - 11*b**2 + 11*b - 8. Let w be q(10). Determine a, given that 0*a**w - 6*a**5 + 19*a**3 - a**3 + 3*a**5 - 9 - 15*a + 6*a**2 + 3*a**4 = 0.
-1, 1, 3
Find b, given that 3 + 10*b**2 - 62*b - 6 + 7 + 0 + 8 = 0.
1/5, 6
What is z in -12*z + 22 - 25 + 3*z**2 + 15 = 0?
2
Let o(a) = 3*a - 4. Let p be o(2). Suppose -p*b + 4 = -b. Factor -1/3 - 1/3*u**b + 0*u**3 + 2/3*u**2 + 0*u.
-(u - 1)**2*(u + 1)**2/3
Suppose 4*r + 32 = 4*d, -d - r = 4*d - 22. Let f(n) be the first derivative of -d*n**3 + 1 - 3/2*n**2 + 3*n - 9/4*n**4. Determine p so that f(p) = 0.
-1, 1/3
Let v(g) = 14 + 3*g - 6*g**2 - 14*g**2 + 0*g + 3*g. Let c(u) = -7*u**2 + 2*u + 5. Let w(y) = -17*c(y) + 6*v(y). Suppose w(d) = 0. What is d?
1
Suppose w + 3*g = -w, -2*w + 2*g = -10. Solve -3*q**w + 5*q**3 - 53*q + 36*q**2 + 215*q = 0.
-9, 0
Let i(f) be the second derivative of f**6/720 - f**5/24 + 25*f**4/48 + f**3 - 4*f. Let g(h) be the second derivative of i(h). Solve g(k) = 0.
5
What is b in 4/3*b**5 + 16/3 + 100/3*b**2 + 64/3*b + 28/3*b**4 + 76/3*b**3 = 0?
-2, -1
Let l(q) = q**2 + 21*q + 6. Let j be l(-21). Factor 3*z**4 - 2*z**2 - 11*z**2 + 12*z + 4*z**2 - j*z**3 + 12.
3*(z - 2)**2*(z + 1)**2
Let y(h) be the first derivative of -188*h**3/3 + 192*h**2 - 16*h - 122. Factor y(q).
-4*(q - 2)*(47*q - 2)
Let g(j) be the third derivative of -j**7/70 + 3*j**6/20 - 13*j**5/20 + 3*j**4/2 - 2*j**3 - 3*j**2 - 20*j. Factor g(o).
-3*(o - 2)**2*(o - 1)**2
Let r(x) = x + 2. Let v be r(3). Factor -5*t**4 + v*t**3 + 1 + 1 + 5*t**3 - 10*t + 3.
-5*(t - 1)**3*(t + 1)
Suppose 4 = 5*b + 3*a, 24*b - a = 22*b + 6. Let r(u) be the first derivative of -6/7*u**3 + 3/14*u**4 + 0*u**b - 8 + 0*u + 2/7*u**5 + 1/21*u**6. Factor r(i).
2*i**2*(i - 1)*(i + 3)**2/7
Let a(o) be the second derivative of 44/3*o**3 + 242*o**2 + 0 + 1/3*o**4 - 36*o. Factor a(k).
4*(k + 11)**2
Let 0 - 43/2*u - 1/2*u**2 = 0. Calculate u.
-43, 0
Let b(m) be the first derivative of -m**6/6 + 24*m**5/5 - 209*m**4/4 + 830*m**3/3 - 750*m**2 + 1000*m - 26. Suppose b(r) = 0. What is r?
2, 5, 10
Factor 10*v - v**3 - 4*v**2 - 475 - 3*v**2 + 491.
-(v - 2)*(v + 1)*(v + 8)
Let w(d) be the first derivative of 74*d**3/3 + 38*d**2 + 2*d - 94. Factor w(n).
2*(n + 1)*(37*n + 1)
Let x = 56 - 18. Let b = -38 + x. Factor -3/2*a**3 + b - 3*a + 9/2*a**2.
-3*a*(a - 2)*(a - 1)/2
Let h(j) be the first derivative of 1/90*j**5 - 1/135*j**6 - 10 + 0*j**2 + 1/54*j**4 - 1/27*j**3 - 5*j. Let c(i) be the first derivative of h(i). Factor c(l).
-2*l*(l - 1)**2*(l + 1)/9
Let d(a) = 179*a - 4048. Let n(l) = 2*l**2 - l + 2. Let y(w) = 2*d(w) - 2*n(w). Determine f, given that y(f) = 0.
45
Let d(h) = 20*h**4 - 28*h**3 + 12*h**2 - 4*h + 4. Let g(k) = -k**5 + 19*k**4 - 27*k**3 + 13*k**2 - 4*k + 3. Let a(f) = 3*d(f) - 4*g(f). Factor a(o).
4*o*(o - 1)**4
Let o(k) = k**3 - k**2 + 2*k + 2. Let u(n) = -2*n**2 + 3*n + 3. Let y(g) = o(g) - u(g). Factor y(b).
(b - 1)*(b + 1)**2
Factor 1/5*b**2 + 13/5*b + 0.
b*(b + 13)/5
Let i(u) be the second derivative of -25*u**7/84 + 31*u**6/12 - 3*u**5/4 - 4*u - 6. Factor i(h).
-5*h**3*(h - 6)*(5*h - 1)/2
Let v(n) = 2*n**5 + 46*n**4 - 12*n**3 - 288*n**2 + 390*n - 150. Let s(u) = u**4 + u**2 + u. Let g(b) = -4*s(b) - v(b). Factor g(p).
-2*(p - 1)**3*(p + 3)*(p + 25)
Let g(v) be the second derivative of v**4/42 - 40*v**3/21 + 400*v**2/7 + v - 10. Factor g(z).
2*(z - 20)**2/7
Let v(d) be the third derivative of 2*d**7/105 + d**6/15 - d**5/5 - 4*d**4/3 - 8*d**3/3 + 6*d**2. Suppose v(c) = 0. What is c?
-2, -1, 2
Let l(r) be the first derivative of 3 + 0*r**3 + 3/2*r**2 - 1/210*r**5 + 0*r - 1/168*r**4 - 1/840*r**6. Let d(f) be the second derivative of l(f). Factor d(a).
-a*(a + 1)**2/7
Let k = -4359/8 - -545. Let t(x) be the second derivative of 0 + k*x**4 + 1/8*x**3 + 0*x**2 + 2*x + 3/80*x**5. Factor t(q).
3*q*(q + 1)**2/4
Suppose 0 = -20*o + 11 + 29. Let h = 19 - 16. Suppose 9/2 + h*r + 1/2*r**o = 0. Calculate r.
-3
Let r(i) = -4*i**3 - 26*i**2 - 23*i + 11. Let d(k) = 3*k**3 - 2*k**2 + 1. Let g(a) = -6*d(a) - 2*r(a). Let g(v) = 0. Calculate v.
-1, 2/5, 7
Find v such that -22*v**2 - 305/2*v**3 - 25/2*v**4 + 94*v - 24 = 0.
-12, -1, 2/5
Let g(h) = h**3 - 7*h**2 + 11*h - 3. Let d be g(5). Let y(j) be the first derivative of -2/21*j**3 - 18/7*j + 6/7*j**d - 2. What is b in y(b) = 0?
3
Let u(v) be the third derivative of 0 - 3/20*v**4 + 0*v - 14*v**2 + 1/2*v**3 + 1/100*v**5. Solve u(p) = 0.
1, 5
Let h(s) = -35*s - 243. Let i be h(-7). Determine f, given that -1/3*f**4 + 2/3 + f**i - 1/3*f**3 + 5/3*f = 0.
-1, 2
Let d be 65/39 - 1/(-3). Suppose -2*s = 5*j - 28, -d*s = j + j - 16. Factor -94*a**s + 93*a**4 - 2*a**3 + a**3.
-a**3*(a + 1)
Let g be 80/14 - 2/(-7). Factor 12*o + 3*o**3 + 27 + 21*o**2 + 39*o - g*o.
3*(o + 1)*(o + 3)**2
Let z(g) be the third derivative of 0*g**6 + 8/15*g**3 + 2/3*g**4 + 2/5*g**5 - 9/70*g**7 + 0*g + 27*g**2 + 0 - 27/560*g**8. Suppose z(x) = 0. What is x?
-2/3, 1
Let d(w) be the first derivative of 0*w**2 - 6 - 1/12*w**3 + 1/20*w**5 + 0*w + 0*w**4. What is o in d(o) = 0?
-1, 0, 1
Let r be (-16)/(-9) + -2 - (-1834)/1179. Factor r*u**3 - 1/6 - 5/6*u - 1/3*u**2.
(u - 1)*(2*u + 1)*(4*u + 1)/6
Factor -13/4*o**3 - 1/4*o**4 - 9*o + 0 - 12*o**2.
-o*(o + 1)*(o + 6)**2/4
Let g(p) = -p**2 - 98*p - 550. Let s be g(-6). Let r = -1/181 - -1453/905. Factor 2/5*m**4 - 8/5*m**3 + 6/5*m**s + 8/5*m - r.
2*(m - 2)**2*(m - 1)*(m + 1)/5
Let c(d) be the third derivative of 0*d + 2/21*d**3 + 13*d**2 - 1/210*d**5 + 1/84*d**4 + 0. Find s such that c(s) = 0.
-1, 2
Let y(h) be the third derivative of -h**6/160 + h**5/5 + h**4/32 - 2*h**3 - h**2 + 38. Determine a, given that y(a) = 0.
-1, 1, 16
Factor -15/4*f**2 - 9/4 - 3/4*f**3 - 21/4*f.
-3*(f + 1)**2*(f + 3)/4
Let u = -5607/5 - -18281/15. Let n = u - 96. Factor n*x - 2/9*x**2 - 2.
-2*(x - 3)**2/9
Let c(j) = -4*j**2 + 164*j - 158. Let h be c(40). Find o such 