35 = 21*j + 4*o, 0 = j - 9*o + 69. Determine d, given that -294*d + 0 - 42*d**2 - 3/2*d**j = 0.
-14, 0
Let f(i) = -i**3 + 3*i**2 + 8*i + 1. Let u(o) = -6*o**3 + 24*o**2 + 62*o + 8. Let d(r) = 8*f(r) - u(r). Factor d(v).
-2*v*(v - 1)*(v + 1)
Let g(x) be the third derivative of 3/20*x**6 - 22*x**2 - 1/6*x**4 - 1/105*x**7 + 0*x**3 - 1/56*x**8 - 1/10*x**5 + 0*x + 0. Suppose g(j) = 0. Calculate j.
-2, -1/3, 0, 1
Let t = 20 - 10. Let d(w) = -w**3 - 14*w**2 - 24*w + 2. Let u be d(-12). Determine l, given that 7 - t*l**u + 3*l + 14*l**2 - 8 = 0.
-1, 1/4
Suppose -4*s + 92 = -4*o, -21*s + 18*s + 5*o + 75 = 0. Suppose 5*p = -4*r + s, -5 = -5*p - 4*r + 3*r. Factor -1/4*a**2 + 1/8*a**4 + p*a + 1/8*a**3 + 0.
a**2*(a - 1)*(a + 2)/8
Let w(o) = -31*o**2 - 4071*o - 634. Let c(r) = 9*r**2 + 4. Let q(t) = -2*c(t) - w(t). Factor q(l).
(l + 313)*(13*l + 2)
Suppose -32*y = -29*y - 4*x - 9465, 3*y - 9480 = -x. Let r be 216/y + 1/26*4. Factor 0 - r*o**3 + 2/9*o - 2/9*o**2 + 2/9*o**4.
2*o*(o - 1)**2*(o + 1)/9
Let 4*q**2 + 356 - 999 - 543*q - 95*q + 431 - 10*q**2 = 0. Calculate q.
-106, -1/3
Let j(w) be the third derivative of -w**6/150 - 596*w**5/75 - 1186*w**4/15 - 4736*w**3/15 + 1936*w**2. Factor j(z).
-4*(z + 2)**2*(z + 592)/5
Let c(b) = 17*b**2 - 599*b - 423. Let t(p) = 35*p**2 - 1197*p - 849. Let r(w) = 11*c(w) - 5*t(w). Determine q, given that r(q) = 0.
-2/3, 51
Let t be (-9 + -1 - -18) + -6*(14/(-9))/7. Find z such that t*z**3 + 800/9 + 962/9*z**2 + 2/9*z**4 + 560/3*z = 0.
-20, -1
Let w(l) = -17*l + 41. Let g be w(-6). Factor 2*k**2 + 0*k**2 - k**3 - 11*k**2 - 14*k**2 - g*k - 121.
-(k + 1)*(k + 11)**2
Factor 0 + 130/9*f**3 - 22/3*f**2 - 62/9*f**4 + 0*f - 2/9*f**5.
-2*f**2*(f - 1)**2*(f + 33)/9
Suppose -4*f - 5*l = -202, 5*f - 4*l + 7*l = 246. Let c = -46 + f. Factor 8 - 94*p**2 - c*p + 31*p**2 + 32*p**2 + 30*p**2.
-(p - 2)*(p + 4)
Let l(b) = 746*b - 1490. Let j be l(2). Let y(d) be the first derivative of -j*d**3 + 11 + 1/3*d**6 + 6/5*d**5 + 0*d - 2*d**2 + 1/2*d**4. Factor y(r).
2*r*(r - 1)*(r + 1)**2*(r + 2)
Let r = -889/3 + 299. Let v = 2796 + -2766. Suppose -v*k**3 + 14*k**5 + 58/3*k**4 - 50/3*k**2 - r + 16*k = 0. What is k?
-2, -1, 2/7, 1/3, 1
Let 2*p + 3/5*p**2 - 8/5 = 0. What is p?
-4, 2/3
Let w be (-12)/(-3) - (-14)/(-56)*16. Let n = 165/1384 + 1/173. Factor 0*k + w + n*k**2.
k**2/8
Let h be -2*29/(-18) + (-78)/351. Solve -4*v**2 - 34*v + 20*v**h - 16*v**3 + 26*v = 0.
-1, 0, 2
Factor -20164/3 + 1/3*y**4 + 15691/3*y + 1537*y**2 - 139/3*y**3.
(y - 71)**2*(y - 1)*(y + 4)/3
Let r be (-1032)/(-688) + 1 + 5. Let 0*q - 3/2*q**5 - r*q**4 + 15/2*q**2 + 0 + 3/2*q**3 = 0. Calculate q.
-5, -1, 0, 1
Let s(p) be the first derivative of -p**3/21 + 81*p**2/14 - 80*p/7 - 2063. Factor s(g).
-(g - 80)*(g - 1)/7
Let b = -998612/23 - -43418. Let m(j) = j**3 - 3*j**2 - j + 5. Let r be m(3). Factor -4/23*t**r + 2/23 + b*t.
-2*(t - 1)*(2*t + 1)/23
Let a(g) be the second derivative of g**5/5 - 6*g**4 - 326*g**3/3 - 600*g**2 + 25*g + 78. Factor a(k).
4*(k - 25)*(k + 3)*(k + 4)
Suppose 137*x - 1800 = -43*x. Let w(a) be the second derivative of 0 - x*a - 1/8*a**4 - 3/4*a**3 - 3/2*a**2. Suppose w(f) = 0. Calculate f.
-2, -1
Let l(i) be the first derivative of -5*i**9/3024 + i**8/336 + 236*i**3/3 - 206. Let c(w) be the third derivative of l(w). Factor c(g).
-5*g**4*(g - 1)
Let y(d) = d**2 - 86*d - 1936. Suppose -90 = -9*b + 261. Let q(t) = 7*t**2 - 515*t - 11616. Let g(u) = b*y(u) - 6*q(u). Solve g(r) = 0.
-44
Let g be ((-456)/(-144) - (-2)/(-3))*170. Determine i so that -i**2 - 418*i**3 - 2*i + 844*i**3 - g*i**3 = 0.
-1, 0, 2
Let i(z) be the third derivative of -z**6/120 - 2453*z**5/20 - 6017209*z**4/8 - 14760213677*z**3/6 - 17*z**2 - 35*z. Factor i(n).
-(n + 2453)**3
Let b be 1/(30/20)*(-27)/(-6) - (-74)/(-26). Solve 6/13*x**2 - 18/13*x + b*x**3 + 10/13 = 0 for x.
-5, 1
Factor 2/15*p**3 - 70*p + 550/3 + 6*p**2.
2*(p - 5)**2*(p + 55)/15
Let k(v) = 4*v**5 + 133*v**4 + 394*v**3 + 391*v**2 + 131*v + 2. Let l(z) = -3*z**5 - z**3 - z - 2. Let g(x) = 2*k(x) + 2*l(x). Factor g(f).
2*f*(f + 1)**3*(f + 130)
Let v(k) be the second derivative of -13*k**4/16 - 43*k**3/2 - 117*k**2/8 + 862*k - 1. Let v(b) = 0. What is b?
-13, -3/13
Let p(u) be the second derivative of u**5/30 - 355*u**4/18 + 31328*u**3/9 + 31684*u**2/3 - 823*u. Determine m, given that p(m) = 0.
-1, 178
Let q be 2155/3448*2*3/2. Let j(a) be the first derivative of 0*a**2 - q*a**4 - 1/12*a**6 + 0*a + 15 + 7/10*a**5 + 3/2*a**3. Solve j(z) = 0 for z.
0, 1, 3
Let f(x) be the third derivative of -x**7/210 - 11*x**6/120 - 19*x**5/30 - 13*x**4/6 - 4*x**3 - 1444*x**2. Let f(o) = 0. What is o?
-6, -2, -1
Factor -255/2*v**2 - 195 + 10*v**3 + 625/2*v.
5*(v - 2)*(v - 1)*(4*v - 39)/2
Factor -285660*m + 65701800 + 414*m**2 - 1/5*m**3.
-(m - 690)**3/5
Determine j, given that 1/4*j**2 + 21/4*j + 49/2 = 0.
-14, -7
Let a(n) be the first derivative of -2*n**3/3 - 184*n**2 - 16928*n + 1567. Factor a(k).
-2*(k + 92)**2
Find a, given that -488/3*a + 224 + 32/3*a**3 + 28/3*a**2 - 4/3*a**4 = 0.
-4, 2, 3, 7
Let w(y) be the first derivative of 11 - 10*y**2 + 20*y**3 - 26*y - 49/4*y**5 - 35/4*y**4. Let b(v) be the first derivative of w(v). Factor b(n).
-5*(n + 1)*(7*n - 2)**2
Factor -103*o + 51 + 1/4*o**4 - 14*o**3 + 263/4*o**2.
(o - 51)*(o - 2)**2*(o - 1)/4
Let n = 91 - 41. Let -211*i + 46*i + 9*i**2 + 25*i**3 + n + 81*i**2 = 0. What is i?
-5, 2/5, 1
Suppose 1533*w - 1540*w = 0. Let l(j) be the third derivative of 0 + 1/84*j**4 + 1/840*j**6 + 0*j - 1/140*j**5 - 12*j**2 + w*j**3. Factor l(i).
i*(i - 2)*(i - 1)/7
Let v = -227 - -239. Let o be (-10)/v*-18*1/20. Determine s so that o*s + 0 - 1/4*s**2 = 0.
0, 3
Let i = -6884 - -27537/4. Let j(o) be the second derivative of 0 + 10/3*o**3 + 5/4*o**4 + 15*o + 0*o**2 - i*o**5. Suppose j(g) = 0. Calculate g.
-1, 0, 4
Let u be 357/4284*(32 - 0). Let s(g) be the second derivative of 13*g - 4/3*g**4 - u*g**3 - 1/5*g**5 + 0 + 0*g**2. Factor s(d).
-4*d*(d + 2)**2
Let g(l) be the first derivative of -l**4/12 - 6*l**3 + 37*l**2/2 - 56*l/3 + 1119. Factor g(v).
-(v - 1)**2*(v + 56)/3
Let c(w) be the third derivative of -w**6/60 - 23*w**5/30 - 5*w**4 - 311*w**2. Let c(h) = 0. Calculate h.
-20, -3, 0
Let z(w) be the third derivative of -w**5/690 + 41*w**4/92 + 250*w**3/69 + 1422*w**2. Suppose z(r) = 0. What is r?
-2, 125
Suppose -3*x + 0*t + 3*t = -3441, 3*x - 3476 = -4*t. Let h = 8067/7 - x. Factor -h*q**4 + 6/7*q + 9/7*q**3 - 3/7*q**5 + 0 + 15/7*q**2.
-3*q*(q - 2)*(q + 1)**3/7
Let o(h) be the second derivative of 5/69*h**3 + 0*h**2 + 0 + 7/230*h**5 - 1/345*h**6 - 11/138*h**4 + 46*h. Factor o(a).
-2*a*(a - 5)*(a - 1)**2/23
Let z(b) be the third derivative of b**7/70 - 521*b**6/40 + 26*b**5 + 9*b**2 + 166*b. Solve z(v) = 0 for v.
0, 1, 520
Let o(v) be the first derivative of -v**3/12 - 251*v**2/2 + 1005*v/4 + 4150. Factor o(i).
-(i - 1)*(i + 1005)/4
Let z(o) be the first derivative of -o**5/30 + 3*o**4/4 - 83*o**3/18 + 23*o**2/2 - 12*o - 4481. Find m such that z(m) = 0.
1, 2, 3, 12
Let k be -6 + (4/(-6) - 200732/(-210)). Let h = -949 + k. Factor 4/5*s**3 + h*s**4 + 2/5*s + s**2 + 0.
s*(s + 1)**2*(s + 2)/5
Let l(m) be the second derivative of m**4/30 - 894*m**3/5 + 1798281*m**2/5 + 1102*m. Find h such that l(h) = 0.
1341
Determine n so that 251/5*n**2 + 3/10*n**4 + 656/5*n + 192/5 + 67/10*n**3 = 0.
-8, -6, -1/3
Let s(p) be the second derivative of 0*p**3 + 1/28*p**5 + 1/12*p**4 + 0 + 0*p**2 + 62*p. Find v, given that s(v) = 0.
-7/5, 0
Let r(k) be the third derivative of -2 + 126*k**4 - 784/3*k**3 + 0*k - 27*k**2 - 673/30*k**5 - 9/10*k**6 - 1/105*k**7. Solve r(c) = 0 for c.
-28, 1
Suppose -4*p - 2*c = 50, 4*c - 3 + 19 = -p. Let u be -9 + p/((-84)/77). Determine a so that 2/3*a**3 + 0 - 2/3*a**u + 0*a = 0.
0, 1
Let u(g) be the third derivative of 1/10*g**4 - 4/5*g**3 + 3/50*g**5 + 0*g - 7 - 1/350*g**7 - 1/200*g**6 + 6*g**2. What is i in u(i) = 0?
-2, 1, 2
Let y = 130 - 43. Suppose -y*k = -92*k. Find f, given that 8/5*f - 18/5*f**4 + 0 - 4/5*f**5 + k*f**2 - 22/5*f**3 = 0.
-2, -1, 0, 1/2
Let z(d) be the second derivative of -d**5/60 + 7*d**4/24 - 5*d**3/3 - 21*d**2/2 + 34*d. Let v(k) be the first derivative of z(k). Factor v(c).
-(c - 5)*(c - 2)
What is j in -56/3*j**2 - 8*j - 14/3*j**5 - 4/3*j**4 + 98/3*j**3 + 0 = 0?
-3, -2/7