+ 1)**2/7
Let w(i) be the second derivative of 17*i**6/60 + 19*i**5/30 + i**4/6 + 33*i**2/2 + i + 25. Let p(q) be the first derivative of w(q). Solve p(h) = 0.
-1, -2/17, 0
Suppose -n - 4*f - 8 = 0, -6 = 3*n - 1411*f + 1414*f. Suppose -22/5*o**2 + n - 4*o**3 + 12/5*o = 0. Calculate o.
-3/2, 0, 2/5
Let z(h) = 35*h**2 - 404*h - 415. Let m(y) = -96*y**2 + 1212*y + 1242. Let i(w) = 4*m(w) + 11*z(w). Let i(t) = 0. What is t?
-403, -1
Suppose -4*k + 26 = -2*k + 5*z, -4*z = -16. Factor 3*n**3 - 5*n**2 + 1615 - 4*n**k - 1595 + 4*n.
-(n - 2)*(n + 2)*(n + 5)
Suppose -3*h + 23 = p + h, 4*p - 17 = -h. Determine q, given that 21*q**3 + 16*q**p - q**3 + 24*q**2 - 9*q**3 + 3*q**4 = 0.
-8, -1, 0
Suppose 2*o = 13*v - 87, -4*o - v + 5*v - 20 = 0. Let b(a) be the first derivative of 3/2*a**o + 23 - 4*a + 1/3*a**3. Let b(j) = 0. What is j?
-4, 1
Find f, given that 1/2*f**3 + 8 + 3*f - 9/2*f**2 = 0.
-1, 2, 8
Let j(m) be the third derivative of m**6/200 - 371*m**5/100 - 149*m**4/8 - 373*m**3/10 - 311*m**2. What is h in j(h) = 0?
-1, 373
Suppose i + 5*v = 19, 5*v - 15 = -2*i + 8. Solve 93 - 24*o + i*o**3 - 16*o**2 + 163 - 40*o = 0 for o.
-4, 4
Let t(i) be the second derivative of 0*i**2 - 2 - 1/21*i**7 + 4*i - 1/2*i**5 - 4/15*i**6 + 0*i**3 - 1/3*i**4. Let t(r) = 0. What is r?
-2, -1, 0
Let g(z) be the second derivative of z**4/84 + 59*z**3/21 + 117*z**2/14 + 3*z + 840. Solve g(j) = 0 for j.
-117, -1
Determine s, given that -13*s**2 + 50*s**2 + 13*s**4 + 7*s**2 + 13*s**2 - 14*s**4 - 2*s**3 - 54*s = 0.
-9, 0, 1, 6
Let b be (0 - 2) + 2 + 3. Let g be 5570/(-7241)*13/(-5). Determine f so that 72/5*f**g - 36/5*f**5 + 3/5 - 6/5*f**b + 42/5*f - 15*f**4 = 0.
-1, -1/12, 1
Let o(x) = -30*x**2 - 607*x - 823. Let v(h) = 8*h**2 + 150*h + 206. Let y(p) = 8*o(p) + 34*v(p). Solve y(u) = 0.
-5, -21/8
Suppose 8*a - 1652 - 1868 = 0. Factor -17*l**4 + 16 + 640*l**2 + 45*l**4 + 88 + 84*l**4 + a*l**3 + 420*l + 4*l**5 + 8*l**4.
4*(l + 1)**4*(l + 26)
Find r such that -65/4*r**2 + 9*r + 45 + 1/4*r**5 - 13/4*r**3 + 5/4*r**4 = 0.
-5, -3, -2, 2, 3
Let a(o) be the first derivative of 5*o**6/9 + 92*o**5/5 - 211*o**4/6 - 152*o**3/3 + 116*o**2/3 + 11309. Find u such that a(u) = 0.
-29, -1, 0, 2/5, 2
Let u(c) = 4662*c - 9320. Let k be u(2). Suppose 10/11*q**3 - 2/11*q**k + 6/11*q**2 - 34/11*q + 20/11 = 0. What is q?
-2, 1, 5
Factor -2/11*p**3 + 78/11*p + 0 - 20/11*p**2.
-2*p*(p - 3)*(p + 13)/11
Suppose -3*k + 74 = 92. Let l be 49*(k + (-28)/(-21) + 5). Factor -13/3*o**2 + l + 35/3*o + 1/3*o**3.
(o - 7)**2*(o + 1)/3
Let p = 75772939/10239585 + -2/2047917. Factor p*l - l**2 - 54/5.
-(l - 2)*(5*l - 27)/5
Let i be 17/(-1)*((-44)/(-715))/(36/(-234)). Let -2*n**4 + 0*n - 36/5*n**3 - i*n**2 + 8/5 = 0. What is n?
-2, -1, 2/5
Let a(k) be the first derivative of -16/11*k**2 - 14/33*k**3 - 8/11*k - 16. What is i in a(i) = 0?
-2, -2/7
Let f(l) be the second derivative of -l**5/160 + 25*l**4/96 - l**3/2 - 2444*l. Solve f(z) = 0 for z.
0, 1, 24
Let w(o) be the first derivative of o**8/3696 + o**7/770 - o**6/360 - o**5/220 + 200*o**3/3 - 263. Let i(v) be the third derivative of w(v). Factor i(d).
d*(d - 1)*(d + 3)*(5*d + 2)/11
Let n(d) be the first derivative of -d**4/42 + 4*d**3/7 + 13*d**2/7 - 12*d + 54. Let c(z) be the first derivative of n(z). Let c(h) = 0. Calculate h.
-1, 13
Let p = 1741 + -1748. Let g be ((-10)/p)/((-50)/(-140)). Find h, given that 0*h + 0 - 2/7*h**g + 8/7*h**3 - 8/7*h**2 = 0.
0, 2
Let l(v) be the second derivative of -41 - 1/40*v**6 + 0*v**2 + 1/16*v**4 + 3/80*v**5 - 1/56*v**7 + 0*v**3 + 3*v. Factor l(a).
-3*a**2*(a - 1)*(a + 1)**2/4
Suppose 11*b + 40 = -79*v + 82*v, 0 = 4*v - 3*b - 30. Solve 7/5*l + v - 1/5*l**2 = 0.
-3, 10
Suppose 0 = 5*v - 5*g - 15, 4*v - 9*v = -4*g - 15. Suppose -8 - 23*w - 21*w**2 - 3*w**4 + 3*w**4 - 5*w**3 + w**4 + 0*w**v = 0. What is w?
-1, 8
Let o(t) be the third derivative of t**7/1050 + t**6/200 - t**5/20 + 17*t**4/120 - t**3/5 - 1589*t**2. Solve o(l) = 0.
-6, 1
Let r(i) = 21*i + 5. Let q be r(7). Factor 5*h**4 - 20*h**3 + 142*h + 17*h**2 + 8*h**2 - q*h.
5*h*(h - 2)*(h - 1)**2
Let z = 10397/31173 - 2/10391. Let k(y) be the second derivative of 0*y**4 + 3/40*y**5 + 0*y**2 - 1/60*y**6 + 0 + 4*y - z*y**3. Factor k(g).
-g*(g - 2)**2*(g + 1)/2
Let p(q) = q**2 + 44*q - 92. Suppose -3*x - 132 = 2*l, -4*l + l + 9 = 0. Let f be p(x). Determine r, given that -2/7*r**3 - 2/7*r**4 + 8/7*r + f + 8/7*r**2 = 0.
-2, -1, 0, 2
Let y = -140 - -144. Suppose -4*h - 55*f + 25 = -52*f, 0 = -2*h + y*f - 4. Factor 0*x + 0 - 5*x**h + 5/4*x**5 - 5/2*x**2 + 25/4*x**3.
5*x**2*(x - 2)*(x - 1)**2/4
Let c be 3230/68*(-4)/(-10). Suppose c*d + 28*d = 0. Find a such that 2/3*a**3 - 2/3*a**2 - 1/6*a**4 + d + 0*a = 0.
0, 2
Suppose -7*o + 135 = -26. Find h, given that -10*h - 14*h + 36 + 52*h**3 - o*h - 51*h**3 + 8*h**2 + 2*h = 0.
-12, 1, 3
Factor 816*a**2 + 3*a**5 + 48*a**4 + 288*a**3 + 4630*a + 576 - 13461*a + 5184*a + 4751*a.
3*(a + 2)**3*(a + 4)*(a + 6)
Let i be (172/43)/((-8)/(-22)). Let b(u) = -u**3 + 16*u**2 - 57*u + 24. Let r be b(i). Let -3/2*a - 1/4*a**r + 7/4 = 0. Calculate a.
-7, 1
Let p be (-135)/54*6/(-5). Factor 8*d**3 + 4*d**2 + 14*d**2 + 2*d**4 + 9*d**p + 3*d**3.
2*d**2*(d + 1)*(d + 9)
Let r = -3069 - -12279/4. Let y(h) be the second derivative of r*h**2 + 0 - 1/8*h**4 - 11*h + 1/8*h**3 - 3/80*h**5. Factor y(w).
-3*(w - 1)*(w + 1)*(w + 2)/4
Let o(c) be the third derivative of -c**6/40 + 41*c**5/20 - 143*c**4/8 - 185*c**3/2 + 2786*c**2. Factor o(z).
-3*(z - 37)*(z - 5)*(z + 1)
Suppose 3*t = -i + 1, -18 = -3*i + 3*t - 3. Let q(n) = -5*n + 23. Let o be q(i). Factor 1 + h + 3 - 9*h**2 - 2 + 7*h**2 - h**o.
-(h - 1)*(h + 1)*(h + 2)
Suppose j + 2*j = 39. Suppose 6 = 5*q + 2*h - j, 0 = -5*q - h + 17. Solve 4/15 - 2/15*g - 16/15*g**2 - 2/3*g**q = 0.
-1, 2/5
Let t(d) be the first derivative of -2*d**6/9 - 106*d**5/45 + d**4/2 + 6736. Factor t(j).
-2*j**3*(j + 9)*(6*j - 1)/9
Let q = 23249 + -23247. Let n(l) be the first derivative of 22/5*l**3 + 2662/5*l + 38 + 363/5*l**q + 1/10*l**4. Factor n(y).
2*(y + 11)**3/5
Let h be 0 + 24/6 + 21. Suppose -h*j = -21*j. Solve j - 2/9*o**2 - 8/9*o = 0 for o.
-4, 0
Let d be 350*2/48*228/380. Let 15/2*s - d*s**2 + 15/4*s**4 - 15/4*s**3 + 0 + 5/4*s**5 = 0. What is s?
-3, -2, 0, 1
Let h(n) be the third derivative of n**5/80 + 37*n**4/32 - 77*n**3/2 - 5*n**2 + 409. Let h(w) = 0. Calculate w.
-44, 7
Find n such that -566*n**2 - 551*n**2 - 690*n**2 - 563*n**2 + 5*n**4 + 2165*n**2 - 200*n**3 = 0.
-1, 0, 41
Find u such that 12*u + 90 - 4/3*u**3 - 16*u**2 + 2/3*u**4 = 0.
-3, 3, 5
Let a(y) be the first derivative of -y**4/22 - 78*y**3/11 + 358*y**2/11 - 480*y/11 + 1135. Find j such that a(j) = 0.
-120, 1, 2
Let v(x) be the second derivative of x**6/30 + 2*x**5/3 + 14*x**4/3 + 16*x**3 - 3*x**2/2 + 22*x. Let h(n) be the first derivative of v(n). Factor h(p).
4*(p + 2)**2*(p + 6)
Let f = -136877 + 2874575/21. What is s in -12/7 + 6/7*s**2 + f*s = 0?
-9, 2/9
Let 1220 + 162*r + 94*r - 5*r**2 + 9*r + 20*r = 0. What is r?
-4, 61
Let g = 29/477 + 3151/477. Solve g*y - 20/3*y**3 - 4*y**2 + 16/3*y**4 - 4/3 = 0 for y.
-1, 1/4, 1
Let y be (-1)/(-5) - (-2624)/80. Suppose -24*d + y = -15. Factor 0*x + 12/5*x**3 + 0*x**d + 3/5*x**4 + 0.
3*x**3*(x + 4)/5
Let k(v) be the third derivative of -v**5/180 - 13*v**4/12 - 25*v**3/2 + 314*v**2 - v. Find l such that k(l) = 0.
-75, -3
Let m be (-2)/(-60)*390/520. Let x(j) be the third derivative of m*j**4 - 1/200*j**6 + 0 + 1/150*j**5 + 18*j**2 + 0*j - 1/15*j**3. Find v such that x(v) = 0.
-1, 2/3, 1
Let v be (-2)/(-2)*(-2 + -4 - -1). Let k(o) = o**2 + 6*o + 11. Let p be k(v). Suppose 15 + p - 720*r + 6825*r**2 - 1 - 4310*r**3 - 1815*r**3 = 0. What is r?
2/35, 1
Let s be (-61)/2745 - 2/(-9). Let q(r) be the first derivative of 15 + 1/20*r**4 - 1/5*r**3 + 0*r + s*r**2. What is k in q(k) = 0?
0, 1, 2
Suppose 0 - 1/3*a**4 - 302/3*a**3 - 601/3*a**2 - 100*a = 0. Calculate a.
-300, -1, 0
Let l(y) be the first derivative of 4*y**3/3 + 25*y**2/3 + 8*y/3 + 415. Find k, given that l(k) = 0.
-4, -1/6
Suppose -15 = -468*x + 473*x. Let j be 470/156 + x + (-10)/(-65). What is m in 0 + j*m + 1/6*m**2 = 0?
-1, 0
Let d be (2/(-3))/(-10 - (-2120)/210). Let g be d/2*(2 + 136/(-56)). What is a in 3/2 - 3/8*a**2 + 3/8*a**3 - g*a = 0?
-2, 1, 2
What is w in -102