first derivative of w**3/27 - 11*w**2/9 + 121*w/9 + 22. Factor p(u).
(u - 11)**2/9
Factor 3/7*t**4 + 81/7*t - 162/7 - 3*t**3 + 27/7*t**2.
3*(t - 3)**3*(t + 2)/7
Let j(g) be the first derivative of 50*g**6 - 888*g**5 + 21603*g**4/4 - 11015*g**3 - 7275*g**2/2 - 375*g + 339. Find i such that j(i) = 0.
-1/10, 5
Determine c, given that c - 24*c**3 - 23*c + 2*c**4 + 42*c**2 + 2*c = 0.
0, 1, 10
Let o(l) = l**2 - l - 2. Let c be o(-1). Determine x, given that 11*x**3 - 10*x**3 + x - 3*x + c*x - x**2 = 0.
-1, 0, 2
Let w(o) be the first derivative of 2*o**5/5 - 3*o**4 + 8*o**3 - 10*o**2 + 6*o - 21. Find h such that w(h) = 0.
1, 3
Let h(q) be the third derivative of -q**8/2352 + 29*q**7/1470 + 4*q**6/35 + q**5/105 - 16*q**4/21 + q**2 + 324*q. Solve h(b) = 0 for b.
-2, 0, 1, 32
Factor -32*u + 1/2*u**2 + 512.
(u - 32)**2/2
Let q(f) be the first derivative of 4*f**3 + 549*f**2/2 - 138*f + 668. Let q(j) = 0. What is j?
-46, 1/4
Suppose 5*h - 5*q = 1470, -3*h + q + 539 + 353 = 0. Let y = 304 - h. Determine t so that 2/3*t + 2/3*t**y - 4/9*t**4 - 4/3*t**3 + 8/9*t**2 - 4/9 = 0.
-1, 2/3, 1
Let l(w) be the second derivative of 0 - 5/6*w**3 - 1/6*w**6 + 0*w**2 - 13*w + 5/12*w**4 + 1/4*w**5. Determine j, given that l(j) = 0.
-1, 0, 1
Factor -48 + 20*g**2 + 39*g**2 - 32*g**2 - 18*g - 3*g**3.
-3*(g - 8)*(g - 2)*(g + 1)
Suppose 0 = 4*g - g + 5*c + 1, -c = 2. Let u be g - (1 - (0 - -1)). Factor 2*w**4 + 0*w**5 - 5*w**3 + 2*w**5 - 2*w**2 + u*w**3.
2*w**2*(w - 1)*(w + 1)**2
Let l(o) = 2*o + 26. Let w be l(-12). Factor 0*k**w - 16*k + 5*k**2 + 7*k**2 - 8*k**2 + 16.
4*(k - 2)**2
Let j(o) be the first derivative of -1/3*o**4 + 4/9*o**3 - 2/3*o + 11 + 1/9*o**6 - 2/15*o**5 + 1/3*o**2. Factor j(b).
2*(b - 1)**3*(b + 1)**2/3
Let i(y) = -5 + 9*y + 3 + 10*y**2 + 2 + 5. Let u(p) = p**2 + p + 1. Let m(o) = i(o) - 6*u(o). Factor m(f).
(f + 1)*(4*f - 1)
Let t(j) = -40*j**4 - 92*j**3 - 56*j**2. Let k(g) = -g**5 + 80*g**4 + 184*g**3 + 112*g**2. Let n(l) = -4*k(l) - 9*t(l). Find o such that n(o) = 0.
-7, -2, -1, 0
Let 19/5*a + 6 + 0*a**2 - 1/5*a**3 = 0. Calculate a.
-3, -2, 5
Suppose 0 + 0*v - 2/9*v**3 + 148/9*v**2 = 0. Calculate v.
0, 74
Let t(i) be the first derivative of -i**3/3 - 3*i**2/2 - 2*i + 8. Let c be t(-1). Suppose 1/3*y**2 + 0*y - 2/3*y**3 + 1/3*y**4 + c = 0. What is y?
0, 1
Let j = 16 - 11. Solve 3*o**5 - 18*o**j - 6*o**3 - 19*o**4 + 0*o**3 - 2*o**4 = 0.
-1, -2/5, 0
Let a(r) = 2*r**2 + 160*r - 3204. Let j(i) = -3*i**2 - 160*i + 3205. Let f(m) = -5*a(m) - 4*j(m). Suppose f(q) = 0. What is q?
40
Factor -1652*b**2 + b + 1651*b**2 - 213 + 17 - 29*b.
-(b + 14)**2
Let n(m) be the second derivative of m**7/21 - 26*m**6/15 + 169*m**5/10 - 3*m. Determine g, given that n(g) = 0.
0, 13
Let a be 1/2*(1 - 1)/(0 + -2). Find z such that 0*z**3 + 0*z - 1/4*z**5 - 1/4*z**4 + 0*z**2 + a = 0.
-1, 0
Let o(u) be the second derivative of -u**7/189 - 7*u**6/135 - u**5/9 - 203*u. What is i in o(i) = 0?
-5, -2, 0
Factor 20*i**4 - 4*i**4 + 21*i**4 + 122*i**3 + 168*i**2 - 9*i**4 + 72*i + 2*i**5.
2*i*(i + 1)**2*(i + 6)**2
Let m(f) = f**4 + f**3 - 10*f**2 - 14*f. Let l(b) = -2*b**4 + 21*b**2 + 29*b. Let h(n) = -2*l(n) - 5*m(n). Solve h(d) = 0.
-6, -1, 0, 2
Suppose -16*r = -5*r - 7*r. Let d(g) be the second derivative of 0*g**4 - 4*g + 1/9*g**3 + r - 1/30*g**5 + 0*g**2. Factor d(v).
-2*v*(v - 1)*(v + 1)/3
Let f = -915 - -915. Let h(q) be the second derivative of 5*q + f - 2/3*q**3 - 1/20*q**5 - 1/3*q**4 + 0*q**2. Find c such that h(c) = 0.
-2, 0
Let g(h) = 4*h**3 - 33*h**2 - 4*h - 3. Let o(x) = 4*x**3 - 29*x**2 - 5*x - 2. Let k(l) = -5*g(l) + 6*o(l). Factor k(p).
(p - 3)*(p + 1)*(4*p - 1)
Let z = -18107/3 - -6036. Suppose -1/2*x**2 - 1/6*x**3 + 0 - z*x = 0. Calculate x.
-2, -1, 0
Suppose r + w - 5 = 0, 24 = 3*r + 5*w + 3. Let 1 - 11*z + 3 - 8*z**2 + r*z**2 + 3*z**2 = 0. Calculate z.
-4, 1/3
Factor -2/13*w**3 + 12/13*w**2 - 24/13*w + 16/13.
-2*(w - 2)**3/13
Let l(b) = b**3 + 15*b**2 - 13*b - 3. Let v(r) = -3*r**3 - 59*r**2 + 51*r + 11. Let i(f) = 22*l(f) + 6*v(f). Factor i(j).
4*j*(j - 5)*(j - 1)
Let o = -2/4489 + 112247/49379. Let q(n) be the second derivative of 0 - 10/33*n**3 + o*n**2 - 8*n + 1/66*n**4. Factor q(c).
2*(c - 5)**2/11
Let o(m) be the first derivative of -2*m**5/25 - 7*m**4/10 + 56*m**3/15 - 4*m**2 + 366. Determine i so that o(i) = 0.
-10, 0, 1, 2
Let x(a) = -12*a**2 - 105*a + 9. Let m be (-9)/5 - (-15)/(-75). Let u(k) = -3*k**2 - 26*k + 2. Let s(w) = m*x(w) + 9*u(w). Suppose s(q) = 0. What is q?
-8, 0
Let t(n) be the second derivative of n**6/135 - n**5/45 - 19*n**4/54 + 68*n**3/27 - 20*n**2/3 - 48*n - 2. Factor t(b).
2*(b - 3)*(b - 2)**2*(b + 5)/9
Let -965*w**4 + 479*w**4 - 7*w**3 + 485*w**4 + 7*w + 9*w**2 - 8 = 0. What is w?
-8, -1, 1
Factor 8*g**2 + 5*g**2 + 13*g**2 - 43*g**2 + 15*g**2 + 18*g - 36.
-2*(g - 6)*(g - 3)
Let p be 49/(-14) - 1/(-2). Let c be p*((-8)/(-12) + -2). Solve -6*j + 12*j**3 + 6*j - 2*j**2 - j**2 - 9*j**c = 0 for j.
0, 1/3, 1
Let k = -6280/3 + 2094. Factor -4/3*p**2 - k*p**3 + 1 + 1/3*p**4 + 2/3*p.
(p - 3)*(p - 1)*(p + 1)**2/3
Let o(g) be the third derivative of g**6/30 + 4*g**5/5 + 15*g**4/2 + 36*g**3 + 54*g**2. Suppose o(r) = 0. What is r?
-6, -3
Let r be (-9)/(-63) + (-27)/(-7). Suppose 15 = -h - 4*q, -r*h = 3*q - q - 10. Factor -4 + j + 0 + 1 - j**3 - 2*j**2 + h.
-(j - 1)*(j + 1)*(j + 2)
What is o in -3/2*o**3 + 0 + 0*o + 2*o**2 - 1/2*o**4 = 0?
-4, 0, 1
Let v(s) be the second derivative of 1/252*s**7 + 1/24*s**5 + 0*s**3 + 3*s + 0 + 1/45*s**6 + 0*s**2 + 1/36*s**4. Factor v(b).
b**2*(b + 1)**2*(b + 2)/6
Let i(q) = -56*q - 3132. Let p be i(-56). Factor -3/5*k**p + 0 + 6/5*k - 3*k**2 + 12/5*k**3.
-3*k*(k - 2)*(k - 1)**2/5
Suppose 5 - 30 = -5*w. Solve 4 - i**4 - 5 - w*i**3 - 7*i - 4 - 9*i**2 + 3 = 0.
-2, -1
Let d(z) = 4*z**2 + 19*z - 30. Let i be d(-6). Let n(t) be the second derivative of 0*t**3 + t + 0 + 1/21*t**4 + i*t**2. Suppose n(v) = 0. Calculate v.
0
Let h(v) be the second derivative of -v**4/3 - 40*v**3/3 - 200*v**2 + 23*v. Suppose h(l) = 0. Calculate l.
-10
Let y(k) be the second derivative of -k**7/189 - 11*k**6/135 - 19*k**5/45 - 26*k**4/27 - 8*k**3/9 - 58*k - 1. What is f in y(f) = 0?
-6, -2, -1, 0
Suppose 3*c + 0*c + g - 9 = 0, -5*c + 2*g = -26. Determine t, given that -4 - 17 - 4*t**3 + 16*t**2 + c*t + 0*t**3 + 5 = 0.
-1, 1, 4
Suppose -2*a + 3*b = -6*a - 1154, 5*b = 10. Let y = a - -294. Suppose 0*g - 4/9*g**y - 2/9*g**5 + 0 + 2/9*g**3 + 4/9*g**2 = 0. What is g?
-2, -1, 0, 1
Suppose 4*x = -x + 6*x. Let a(c) be the third derivative of -1/6*c**4 + 0*c + 0*c**3 + x - 1/30*c**5 + 2*c**2. Factor a(z).
-2*z*(z + 2)
Let n = 98 + -95. Let p(y) be the third derivative of y**n - 1/20*y**5 + 0*y - 1/8*y**4 + 0 + 10*y**2. What is t in p(t) = 0?
-2, 1
Let g(u) = 8*u**2 + 135*u - 17. Let b be g(-17). Determine k, given that 2/3*k**5 - 6*k**2 + 10*k**3 + 0*k - 14/3*k**4 + b = 0.
0, 1, 3
Let m(g) = g**2 - 3*g + 3. Let j be m(3). Suppose -2*f + 7 = j. What is i in 2*i**f + 3 - 4*i**3 + 4*i**5 - 4*i**4 - 3 + 2*i**2 = 0?
-1, 0, 1
Determine t, given that 175*t**3 + 170*t**2 + 188/3*t + 8 + 125/3*t**4 = 0.
-3, -2/5
Let z(i) be the third derivative of -i**10/75600 + i**8/5040 - i**6/360 - i**5/12 + 18*i**2. Let v(j) be the third derivative of z(j). Solve v(s) = 0 for s.
-1, 1
Let g(j) = -j**2 - 9*j - 15. Let o be g(-6). Factor 11*t**2 - 10*t - 20*t**3 + o + 2 - 46*t**2.
-5*(t + 1)**2*(4*t - 1)
Suppose 3 = 2*z - 3. Let u be ((-9)/z + 5)/5. Find m, given that -2/5*m**2 + u + m - m**3 = 0.
-1, -2/5, 1
Suppose 4*x + 0*x - 162 = 2*w, 0 = 3*x - 5*w - 139. Suppose -39*p + x*p = -2. Factor 1/4*s**p + 1 - s.
(s - 2)**2/4
Let j be ((-15)/70 - 0)*(-28)/12. Factor 0 - j*b**4 + 0*b**3 + 0*b**2 + 0*b + 1/6*b**5.
b**4*(b - 3)/6
Let x = -5616 - -5619. Factor -2/5*f + 4/5 - 2*f**x - 16/5*f**2.
-2*(f + 1)**2*(5*f - 2)/5
Let v = 1372 + -21951/16. Let r(g) be the third derivative of -v*g**4 + 0 - 1/70*g**7 + 0*g**6 + 1/20*g**5 + 1/224*g**8 + 0*g**3 + 0*g - 14*g**2. Factor r(i).
3*i*(i - 1)**3*(i + 1)/2
Let s = 32 - 29. Factor 5 + 3 + 4*w**2 - s - 1 + 8*w.
4*(w + 1)**2
Let z be 1*0*(-2)/(-40)*-5. Let g(f) be the third derivative of 5/24*f**4 + 0*f + 0 + z*f**3 - 1/12*f**5 + 14*f**2. Factor g(o).
-5*o*(o - 1)
Let x = 185 + -183. Let p(h) be the second derivative of 1/4*h**5 - 1/30*h**6 +