 - 181 + 173. Solve 17*l**n - 2*l**3 - 10*l**3 - 13*l**4 + 0*l**2 - 40*l**2 = 0.
-2, 0, 5
Let k(w) be the second derivative of 80*w**2 + 0 - 40/3*w**3 + 2*w**5 + 1/3*w**6 - 5/42*w**7 - 20/3*w**4 - 31*w. Let k(v) = 0. Calculate v.
-2, 2
What is z in 122/5*z**2 - 106/5*z**4 - 36/5*z - 16/5 + 162/5*z**3 - 126/5*z**5 = 0?
-1, -2/7, 4/9, 1
Let w(n) = -1860*n + 16748. Let v be w(9). What is c in 30/7*c**3 + 48/7 + 8/7*c**4 - 4*c**2 - v*c - 2/7*c**5 = 0?
-2, 1, 6
Let j(c) be the first derivative of -2*c**3/51 + c**2/17 + 24*c/17 + 657. Solve j(u) = 0.
-3, 4
Suppose -v + 4*v + 4*r - 31 = 0, -3*r = -4*v + 8. Suppose 0 = -4*c - 2*t + 6, 5*t = 4*c - 9*c + v. Suppose -m**c + 2*m**3 + 1299 - m**4 - 1299 = 0. Calculate m.
0, 1
Let o be (2/(-8))/(1/(-20)). Let z(j) = -18*j**2 - 15*j + 13. Let l(a) = 21*a**2 + 15*a - 14. Let p(h) = o*z(h) + 4*l(h). Factor p(k).
-3*(k + 3)*(2*k - 1)
Let q be (2/(-3))/(((-112)/120)/7). Suppose 0 = 11*f + 6*f - 68. Suppose 2/5*b + 0 + 6/5*b**2 - 4/5*b**q + 2/5*b**3 - 6/5*b**f = 0. Calculate b.
-1, -1/2, 0, 1
Let c be -24*(-2)/6 + -8. Suppose 5*i - 56 + 46 = c. Suppose -33/2*t**4 + 0*t + 9/2*t**5 + 0 + 18*t**3 - 6*t**i = 0. What is t?
0, 2/3, 1, 2
Let g be (-4 - 0/1) + 7 + 0. Let t(r) be the first derivative of -25 + 3/2*r**g - 3/8*r**4 - 3/2*r**2 + 0*r. Determine p, given that t(p) = 0.
0, 1, 2
Suppose -2248 = -563*j + 15*j + 492. Let f be 22/4 - (-3 - -4). Factor -3/2*c**j + f*c**3 + 0 - 3*c**2 + 0*c**4 + 0*c.
-3*c**2*(c - 1)**2*(c + 2)/2
Let r(g) be the third derivative of 3/4*g**3 - 1/30*g**5 + g**2 + 3/32*g**4 + 1/480*g**6 - 86*g + 0. Factor r(k).
(k - 6)*(k - 3)*(k + 1)/4
Let v = 13489/4 - 3361. Find t such that -3/4*t**3 + 21/4*t**2 - v*t + 27/4 = 0.
1, 3
Let y(k) = -k**2 + 4. Let i(s) = 1529*s**2 + 1535*s - 6. Let f(p) = i(p) + 4*y(p). Factor f(l).
5*(l + 1)*(305*l + 2)
Let k(v) = v**3 - 23*v**2 + 47*v - 60. Let w be k(21). Suppose a = -2*i + 2, -14*i + 17*i = -5*a + w. Factor -6*r**3 - 3/4*r**4 - a*r - 15/4 - 27/2*r**2.
-3*(r + 1)**3*(r + 5)/4
Let v(f) be the third derivative of f**6/180 + 29*f**5/72 - 7*f**4/9 - 37*f**3/36 - 26*f**2 + 11. Factor v(i).
(i - 1)*(i + 37)*(4*i + 1)/6
Let t(j) be the third derivative of -j**8/3024 + j**7/135 - j**6/60 - 37*j**5/135 - 181*j**4/216 - 11*j**3/9 - 22*j**2 - 89. Factor t(c).
-(c - 11)*(c - 6)*(c + 1)**3/9
Determine k so that 518*k - 23 + 4*k - 306*k**2 + 214*k - 50*k**2 - 25 = 0.
6/89, 2
Let i be 32/(-8)*(30*5/(-240) + (-1)/(-8)). Let b = 18581/9 + -2061. Suppose 20/9*j**i - 8/3*j - b = 0. What is j?
-4/5, 2
Let z = -520 - -947. Let h = z - 425. Find d such that 3/2*d**3 + 5/2*d + 0 + 9/2*d**h - 1/2*d**4 = 0.
-1, 0, 5
Let y(s) be the second derivative of s**5/20 - s**4/2 - 20*s**3/3 + 11892*s. Suppose y(v) = 0. What is v?
-4, 0, 10
Let w(g) be the first derivative of 0*g**2 + 1/24*g**6 + 0*g + 3/2*g**4 + 5/3*g**3 - 23 + 9/20*g**5. What is n in w(n) = 0?
-5, -2, 0
Solve 1/4*c**2 + 79/2 - 81/4*c = 0.
2, 79
Determine d, given that 126*d**2 - 2/5*d**4 + 26/5*d**3 - 260 - 698/5*d = 0.
-13, -1, 2, 25
Let z(w) be the first derivative of 22*w**3/39 - 152*w**2/13 - 56*w/13 - 5172. Factor z(k).
2*(k - 14)*(11*k + 2)/13
Factor 145*p**3 + 2*p**4 - 72*p + 66*p**2 - 85*p**3 - 80*p**3.
2*p*(p - 4)*(p - 3)**2
Let h(x) be the third derivative of 0 - 1/80*x**6 + 11/60*x**5 - 5/12*x**4 - 2*x**3 - 248*x**2 + 0*x. Solve h(r) = 0 for r.
-2/3, 2, 6
Let l(c) be the first derivative of c**6/54 - 2*c**5/5 + 10*c**4/9 + 26*c**3/9 - 41*c**2/18 - 20*c/3 - 37. Find b such that l(b) = 0.
-1, 1, 4, 15
Suppose 214*d = 220*d - 54. Let u be (513/6)/9 - d. Factor 1/2*m**2 + u*m - 1/2 - 1/2*m**3.
-(m - 1)**2*(m + 1)/2
Let u = 3984647/7 + -569235. Find x such that 0 - 16/7*x - u*x**2 = 0.
-8, 0
Let d(p) be the third derivative of p**7/20160 - 3*p**5/320 - 71*p**4/24 - 74*p**2. Let t(m) be the second derivative of d(m). Factor t(g).
(g - 3)*(g + 3)/8
Let f(p) be the first derivative of 6*p**2 + 1/360*p**5 + 1/12*p**4 - 19 + 0*p + p**3. Let r(l) be the second derivative of f(l). Factor r(x).
(x + 6)**2/6
Let a be 14 + 6 + -4 + 1984/(-160). Let y be 196/110 + 2/(-11). Factor y*f**2 - 21/5*f - 1/5*f**3 + a.
-(f - 3)**2*(f - 2)/5
Let u be (-56)/6*(-6)/4. Let w be -5*u/105 + 28/6. Factor 10/9*h**3 - 2*h**2 - 4/9 + 14/9*h - 2/9*h**w.
-2*(h - 2)*(h - 1)**3/9
Suppose -4*q - 4*q**3 + 182327*q**2 + 0*q - 182319*q**2 = 0. What is q?
0, 1
Let x(z) = -8*z**3 + 62*z**2 - 478*z + 736. Let i(l) = 17*l**3 - 124*l**2 + 953*l - 1468. Let u(r) = -6*i(r) - 13*x(r). Factor u(w).
2*(w - 19)*(w - 10)*(w - 2)
Determine i, given that 189*i + 36 + 134 + 206*i - 8 - 359*i + 2*i**2 = 0.
-9
Let o(y) = -23*y + 222. Let q(r) = -43*r + 445. Let j(d) = -11*o(d) + 6*q(d). Let s be j(45). Solve 0*x - 6/13*x**5 + 0*x**s + 0*x**2 + 2/13*x**4 + 0 = 0 for x.
0, 1/3
Suppose -129969*c - 216 = -129981*c. Determine x so that 32/5*x**2 - 324/5 - 2/5*x**3 - c*x = 0.
-2, 9
Factor 14/3*a**3 - 104/3*a + 0 - 120*a**2.
2*a*(a - 26)*(7*a + 2)/3
Let a(j) be the third derivative of 1/6*j**4 + 5 + 0*j + 1/120*j**7 + 1/30*j**5 - 1/30*j**6 - 1/1344*j**8 - 2/3*j**3 + 9*j**2. What is d in a(d) = 0?
-1, 2
Find y, given that -110*y**2 - 12411*y**5 + 160*y - 98*y**2 + 12407*y**5 + 72*y**3 + 4*y**4 = 0.
-5, 0, 2
Let s be 6/(-9) + 1 + (-85)/(-51). Factor -75*g**3 - s - 17 + 7 + 42 - 15*g**2 + 55*g - 35*g**4.
-5*(g + 1)**3*(7*g - 6)
Let i = -23 + 26. Solve -633 - 24*h**i + 1932*h + 28*h**3 - 400 - 731 - 172*h**2 = 0.
1, 21
Let y(v) = v**3 - 198*v**2 - 401*v - 200. Let x(l) = -4*l**3 + 594*l**2 + 1207*l + 602. Let o(s) = -6*x(s) - 21*y(s). Find a, given that o(a) = 0.
-196, -1
Let u(v) = -30*v**2 - 295*v - 481. Let k(f) = 35*f**2 + 295*f + 483. Let p(i) = 8*k(i) + 9*u(i). Find a such that p(a) = 0.
-3/2, 31
Let a be (-25)/(1375/(-33))*(-10)/(-14). Let d(u) be the third derivative of a*u**3 + 1/140*u**5 + 0 - 5/56*u**4 + 0*u + 10*u**2. Solve d(b) = 0 for b.
2, 3
Let j(n) be the second derivative of -n**8/5376 - n**7/3360 + n**6/1440 - 28*n**4/3 - 9*n - 5. Let p(c) be the third derivative of j(c). Factor p(w).
-w*(w + 1)*(5*w - 2)/4
Let l(z) = z**3 + 856*z**2 + 1707*z. Let k be l(-2). Suppose 5/2 + 1/4*c**k + 7/4*c = 0. What is c?
-5, -2
Suppose -3 = 4*d - 3*d, -3*d + 141 = 5*s. Suppose -15*i + 5*i + s = 0. Suppose -25/2*z**i - 5/2*z**4 - 45/2*z**2 - 5 - 35/2*z = 0. What is z?
-2, -1
Suppose -3*m + 4*d + 503 = -3153, 5*d + 2428 = 2*m. Determine t, given that -1180*t - 4 + 16 + 7*t**2 + m*t = 0.
-6, -2/7
Let l(j) be the second derivative of j**6/70 - 207*j**5/140 + 67*j**4/28 + 69*j**3/14 - 102*j**2/7 + 8603*j. Find y such that l(y) = 0.
-1, 1, 68
What is l in -200 - 1158*l - 5*l**3 - 214 - 576*l**2 + 7*l**3 - 166 = 0?
-1, 290
Suppose -360*s - 264 + 32*s**4 - 88*s**2 + s**5 - 144*s**3 + 820*s + 3*s**5 = 0. Calculate s.
-11, -2, 1, 3
Let c(w) be the first derivative of -11*w**6/6 - 7*w**5 + 4*w**4 + 136*w**3/3 + 56*w**2 + 16*w - 12186. What is d in c(d) = 0?
-2, -1, -2/11, 2
Let s(d) = d**4 + d**3 + d**2 + 2*d. Let g(y) = -y**5 + 7*y**4 + 77*y**3 + 177*y**2 - 64*y - 176. Let c(a) = -g(a) + 4*s(a). Solve c(h) = 0 for h.
-4, -1, 1, 11
Let n = -39 - -42. Let r(x) be the first derivative of -1/9*x**n + 1/12*x**4 + 0*x + 0*x**2 - 22. Factor r(w).
w**2*(w - 1)/3
Let y(m) be the first derivative of -4*m**5/5 + 21*m**4 + 280*m**3/3 + 96*m**2 + 7832. What is p in y(p) = 0?
-2, -1, 0, 24
Let h(j) be the first derivative of 18*j**3/11 + 294*j**2 - 1440*j/11 + 1220. Determine d so that h(d) = 0.
-120, 2/9
Let i be 48/(-90)*(-3)/2. Suppose -267*f + 269*f + 24 = 4*y, 4*f = y + 1. Factor -8/5*c - i*c**f + 32/5.
-4*(c - 2)*(c + 4)/5
Determine f, given that 39 - 1748*f**2 - 103 - 28*f**4 - 194*f**4 + 902160*f - 898576*f - 1550*f**3 = 0.
-4, 2/111, 1
Suppose -14/3*w**4 + 1320 + 2/3*w**5 - 1904*w - 170/3*w**3 + 1934/3*w**2 = 0. What is w?
-11, 1, 5, 6
Let m = 1037 + -292. Let a = m - 743. Factor -15/4*v**3 + 0*v + 3*v**4 + 3/4*v**a + 0.
3*v**2*(v - 1)*(4*v - 1)/4
Let i be 1 + 8/52 + 24/13. Suppose 4*k**5 + 37*k**3 + 36*k**i - 2*k**5 - 65*k**3 + 8*k**4 = 0. What is k?
-2, 0
Let d(q) be the third derivative of q**5/540 - 1105*q**4/36 + 1221025*q**3/6 - 10062*q**2. Find m, given that d(m) = 0.
3315
Suppose 0 = -m + 4*x - 202 - 641, 5*m + x = -4278. Let w = m - -5991/7. Factor w*z**3 + 4/7*z - 2/7*z**5 -