cond derivative of 48*h - 2/7*h**2 + 0 + 3/70*h**5 + a*h**4 + 1/105*h**6 - 1/7*h**3. Factor f(x).
2*(x - 1)*(x + 1)**2*(x + 2)/7
Let o(y) = -1034*y**3 - 330*y**2 + 4*y - 4. Let h(k) = 2072*k**3 + 662*k**2 - 8*k + 7. Let v(q) = -4*h(q) - 7*o(q). Let v(i) = 0. Calculate i.
-1/3, 0, 2/175
Suppose -4*i + 3*t = -20, i + 2809*t - 2804*t = -18. Factor -22*h + 32/7*h**i - 2/7*h**3 + 28.
-2*(h - 7)**2*(h - 2)/7
Let q(b) be the first derivative of 5*b**4/12 + 5365*b**3/9 + 478825*b**2/2 - 480615*b + 1331. Suppose q(n) = 0. What is n?
-537, 1
Suppose 571 = -4*u + 91. Let x be (820/u + 7)/((-1)/(-4)). Factor -8/3*q - x - 2*q**2.
-2*(q + 1)*(3*q + 1)/3
Let a = 71594 - 71590. Let 3/2*g**a - 5/2 - 5*g**3 + 1/2*g**5 + g**2 + 9/2*g = 0. What is g?
-5, -1, 1
Let f(k) = 7*k**3 + 8*k**2 + 49*k + 12. Let y(o) = 21 - 117*o - 17*o**2 - 43 + 19*o - 13*o**3. Let l(z) = -11*f(z) - 6*y(z). Suppose l(x) = 0. Calculate x.
-7, 0
Let i(y) be the third derivative of y**7/5040 + y**6/160 + y**5/30 + 5*y**4/24 - y**3/6 - 2*y**2 - 62. Let a(x) be the second derivative of i(x). Factor a(h).
(h + 1)*(h + 8)/2
Suppose 5*j**2 - 48*j - 70*j + 3*j + 240 + 60 = 0. What is j?
3, 20
Let j(x) = -35*x**3 - 2764*x**2 + 76*x - 237. Let k be j(-79). Suppose 14/5*w + k + 2/5*w**3 + 16/5*w**2 = 0. Calculate w.
-7, -1, 0
Let h = 27739 - 27733. Let k(j) be the first derivative of 1/2*j**4 + 25/6*j**2 + 0*j - 8/15*j**5 + 12 + 40/9*j**3 + 1/18*j**h. Find v such that k(v) = 0.
-1, 0, 5
Suppose 2347 = -54*b + 2617. Let n(l) be the third derivative of 1/180*l**b + 1/24*l**4 + 8*l**2 + 1/9*l**3 + 0 + 0*l. Let n(w) = 0. Calculate w.
-2, -1
Let t(h) = 3*h**3 + 421*h**2 - 410*h - 91. Let s(u) = 8*u**3 + 1264*u**2 - 1232*u - 260. Let f(k) = -7*s(k) + 20*t(k). Factor f(o).
4*o*(o - 106)*(o - 1)
Let f(o) = 52*o**2 + 2336*o + 2306. Let r(b) = -38*b**2 - 1752*b - 1730. Let g(l) = 8*f(l) + 11*r(l). Factor g(a).
-2*(a + 1)*(a + 291)
Let o be -5 + (-1 - (-9 + -1 + 1)). Suppose 0 = 2*b + 2*d + 3 + o, 2*b = 2*d + 14. Factor 8/9 - 2/9*c**3 + 10/9*c**b - 16/9*c.
-2*(c - 2)**2*(c - 1)/9
Let m(a) be the first derivative of 2*a**6/15 - 3*a**5/2 + 7*a**4/6 - 17*a - 3. Let h(j) be the first derivative of m(j). Factor h(b).
2*b**2*(b - 7)*(2*b - 1)
Suppose 5*w - 3*l - 6 = 0, -4*l + 5 = -7. Suppose 11*a - w*a = 24. Let -10*p**a + 6/5*p**4 - 16/5 + 8/5*p**5 + 72/5*p - 4*p**2 = 0. Calculate p.
-2, 1/4, 1, 2
Let q be 7*(-3 + (-7 - -17)). What is i in 13*i**2 - 44*i**3 + q*i**3 + 4 - 6*i - 4 = 0?
-3, 0, 2/5
Let l be 6/48*-4*6. Let j be (-3)/(-7) + l/(252/(-132)). Determine q so that 5/2 + 5/2*q**3 - 25/4*q**j + 5/4*q = 0.
-1/2, 1, 2
Let g = -90943/22 - -45554/11. Find u such that 35/2*u + 15/2*u**2 - 15 - g*u**3 - 5/2*u**4 = 0.
-3, -2, 1
Let g(m) be the second derivative of 7/3*m**4 + 47/10*m**5 + 0*m**2 + 177*m + 0*m**3 - 7/15*m**6 + 0. Factor g(r).
-2*r**2*(r - 7)*(7*r + 2)
Suppose 2506*i = 871*i + 145 + 3422 - 297. Solve 17/5*g - 6/5 - 3/5*g**3 + 4/5*g**i = 0 for g.
-2, 1/3, 3
Find c, given that 1745/6 + 585/2*c**2 - 5/6*c**3 - 1165/2*c = 0.
1, 349
Suppose 56*t - 2*a = 52*t + 2, 2*t - 13 = -3*a. Let n(r) be the first derivative of -7 - 2/39*r**3 + 0*r + 0*r**t. Factor n(u).
-2*u**2/13
Suppose 2 = -i, 2*i - 31 = -5*v + 5*i. Factor -2*r**2 + 30*r + v*r**2 + 1904 - 1937.
3*(r - 1)*(r + 11)
Let x(m) be the second derivative of 5*m**4/12 + m**3/2 + m**2/2 + 7*m. Let p be x(-1). Factor -2 - 9*l - 8*l**p + 1 - 9*l**2 + 5*l**3 - 2.
-3*(l + 1)**3
Let m(t) be the first derivative of t**3/18 + 5*t**2/2 + 28*t/3 - 1277. Factor m(l).
(l + 2)*(l + 28)/6
Let s be (-10)/3*(25 - 20263/805). Let r(i) be the first derivative of -4/7*i + i**2 - 2 - s*i**3. Let r(k) = 0. Calculate k.
1/2, 2/3
Let w = 526511 + -526509. Let a be (-2)/4 + 1 + 0. Find x, given that a*x**3 + 12*x + 8 + 9/2*x**w = 0.
-4, -1
Let m(l) = -l**2 - 6*l + 60. Let z be m(-10). Factor -3*i - z*i**2 + 7*i**2 + 3*i**2 + 4 + 9*i**2.
-(i - 1)*(i + 4)
Suppose 159 = 4*i + i - 147 + 291. Let 9*c**2 + 13/2*c**i - 3/2*c**5 - 4 - 2*c - 2*c**4 = 0. What is c?
-2, -1, 2/3, 2
Let m be (-6)/2 - (30 + 2)/(-4). Suppose 4 = -m*f + 6*f. Factor 116*n**2 + 4*n**2 + n + 27*n - 109*n**4 + 92*n**3 + 125*n**f - 16.
4*(n + 1)**2*(n + 4)*(4*n - 1)
Let j = -86 + 102. Solve 78*q**3 - 2*q**4 - j*q + 14*q**4 - 50*q**3 = 0 for q.
-2, -1, 0, 2/3
Let d(z) = z**3 - 15*z**2 + 2*z - 28. Let p be d(15). What is b in -4*b - 12 - 14*b**2 + 0 + 18*b**p + 4 = 0?
-1, 2
Determine a so that -4/5*a**4 - 24/5*a - 32/5*a**3 + 0 - 52/5*a**2 = 0.
-6, -1, 0
Let f(z) = z**3 + 9*z**2 + 15*z + 9. Let w be f(-7). Factor -47*o**3 + 6*o**w - 9*o + 16*o**3 + 18*o**3 + 16*o**3.
3*o*(o - 1)*(o + 3)
Solve -55/2 + 3*l + 1/2*l**2 = 0.
-11, 5
Let w be (37/11 + -2)/(-7*(-72)/2772). Factor 3/2*z**3 + w*z + 6*z**2 + 3.
3*(z + 1)**2*(z + 2)/2
Let o = -43145 + 129437/3. Let o*y**2 - 26/3 + 8*y = 0. What is y?
-13, 1
Let r(i) be the first derivative of i**5/190 - i**4/38 + i**3/19 - i**2/19 - 178*i - 12. Let d(u) be the first derivative of r(u). Factor d(l).
2*(l - 1)**3/19
Factor 31/3*f**3 - 4/3*f**4 - 20/3*f**2 + 0 - 7/3*f.
-f*(f - 7)*(f - 1)*(4*f + 1)/3
Let f(q) be the third derivative of 6/25*q**5 - 148*q**2 - 1/6*q**4 + 0*q + 0 + 1/350*q**7 + 0*q**3 - 37/600*q**6. Let f(m) = 0. Calculate m.
0, 1/3, 2, 10
Suppose 7*r - 12 + 292 = 0. Let l(n) = -n**2 - 41*n - 35. Let j be l(r). Determine z so that -17/9*z**4 - 7/3*z**3 - 11/9*z**2 + 0 - 5/9*z**j - 2/9*z = 0.
-1, -2/5, 0
Let y(r) be the second derivative of -45*r**7/112 + 401*r**6/40 - 4011*r**5/160 + 12*r**4 + 65*r**3/4 - 12*r**2 - 23*r - 12. What is m in y(m) = 0?
-2/5, 2/9, 1, 16
Factor 375 + 747*j + 1399*j**2 - j**3 - 5*j**3 + 3*j**3 - 1030*j**2.
-3*(j - 125)*(j + 1)**2
Let q(g) be the second derivative of -g**7/84 + 7*g**6/20 - 17*g**5/20 - 13*g**4/4 + 35*g**3/12 + 57*g**2/4 + 927*g. Find x, given that q(x) = 0.
-1, 1, 3, 19
Let q(o) be the second derivative of 0*o**2 + 25*o + 1/54*o**4 + 7/27*o**3 + 0. Factor q(n).
2*n*(n + 7)/9
Let k(a) be the first derivative of a**4/30 - 3*a**3/5 - 22*a**2/5 - 266*a - 258. Let g(q) be the first derivative of k(q). Factor g(b).
2*(b - 11)*(b + 2)/5
Let t(w) be the first derivative of -w**6/180 - 7*w**5/120 - w**4/9 + 4*w**3/9 - 39*w + 18. Let q(b) be the first derivative of t(b). Factor q(v).
-v*(v - 1)*(v + 4)**2/6
Let g(k) be the second derivative of -k**4/12 - 79*k**3 - 56169*k**2/2 + 1665*k. Factor g(s).
-(s + 237)**2
Let b = 45644/204723 - 50/68241. What is p in b*p**2 + 50/9 + 20/9*p = 0?
-5
Let 72*w + 782/5*w**3 - 1172/5*w**2 - 8/5*w**5 + 176/5 - 138/5*w**4 = 0. Calculate w.
-22, -1/4, 1, 2
Let j be 6 - -2*(48/(-6))/8. Let w(o) be the third derivative of 0*o + 0 + 7/108*o**j - 2/27*o**3 - 2*o**2 - 1/54*o**5. Factor w(t).
-2*(t - 1)*(5*t - 2)/9
Let k = -26397 - -26402. Let p(g) be the first derivative of 0*g**2 + 28/45*g**5 + 0*g + k + 0*g**3 - 2/9*g**4. What is o in p(o) = 0?
0, 2/7
Let v be (102/36)/((-1)/(-6)). Suppose -512 + 7*u - 2*u**2 - 54*u - v*u = 0. What is u?
-16
Let s(c) = 169*c**3 - 34713*c**2 + 25090983*c - 6046929072. Let j(u) = 38*u**3 - 8678*u**2 + 6272746*u - 1511732268. Let w(b) = -9*j(b) + 2*s(b). Factor w(i).
-4*(i - 723)**3
Let a(c) = -874*c + 20979. Let n be a(24). Factor -n*u**3 - 3/2 + 0*u**2 + 3*u + 3/2*u**4.
3*(u - 1)**3*(u + 1)/2
Suppose 147*c + 1250 + 5*c**2 - 113*c + 241*c = 0. What is c?
-50, -5
Let d = -4231/165875 - -2/1327. Let i = d - -453/125. Factor i*c + 14/5*c**3 - 2/5*c**4 - 6*c**2 + 0.
-2*c*(c - 3)**2*(c - 1)/5
Let a(h) be the first derivative of -h**4/10 + 92*h**3/5 + 5719. Determine s, given that a(s) = 0.
0, 138
Suppose 72*w + 2079 = 2223. Let i be (8/(-15))/(8/(-12)). Factor -6/5 + w*n - i*n**2.
-2*(n - 1)*(2*n - 3)/5
Suppose -16*w - 288 - 2/9*w**2 = 0. What is w?
-36
Let m(x) be the first derivative of 37 + 0*x + 2*x**3 + 6*x**2 + 3/16*x**4. Factor m(v).
3*v*(v + 4)**2/4
Let n(u) be the first derivative of 0*u**2 + 2/35*u**5 - 4/21*u**3 + 2/7*u - 69 + 0*u**4. Determine z so that n(z) = 0.
-1, 1
Let v(a) be the second derivative of -a**7/14 + 2*a**6/5 + 9*a**5/20 - 7*a**4/2 + 4*a**3 - 65*a - 1. Determine z so that v(z) = 0.
-2, 0, 1, 4
Let a(z) be the first derivative of -2*z**5/15 + 23*z**4/3 - 448*z**3/3 + 4018*z**2/3 - 17150*z/3 + 672. Factor a(y).
-2*(y - 25)*(y - 7)**3/3
Find q such that 6*