 + 1/3*t**2 = 0.
-1, 2
Let l = 2240/9 - 29102/117. Solve 8/13 + l*u**3 - 2/13*u**2 - 8/13*u = 0.
-2, 1, 2
Let a(z) be the first derivative of -202 + 1/3*z**3 + 144*z - 12*z**2. Let a(l) = 0. What is l?
12
Let t(j) = -j**3 - 9*j**2 - 5*j - 41. Let b be t(-9). Let n be ((-55)/15 + b)*9. Factor 2/5*x**4 + 6/5*x + 0 + 2/5*x**n - 2*x**2.
2*x*(x - 1)**2*(x + 3)/5
Suppose 381*z = 375*z + 1188. Let p be ((-45)/z + 0)*(-8)/10. Find r such that -10/11*r - 12/11*r**2 + 0 - p*r**3 = 0.
-5, -1, 0
Let k(m) be the second derivative of m**6/180 + 7*m**5/12 + 1417*m**4/72 + 560*m**3/3 + 768*m**2 + 207*m. Let k(f) = 0. What is f?
-32, -3
Factor 2/15*s**2 - 100/3*s + 6250/3.
2*(s - 125)**2/15
Let q(n) be the second derivative of 15*n**7/14 + 17*n**6/2 - 269*n**5/4 + 185*n**4/12 + 200*n**3 - 270*n**2 - 10*n. Determine o so that q(o) = 0.
-9, -1, 2/3, 3
Factor -1770125 - 9010*h**2 + 4498*h**2 + 4507*h**2 + 5950*h.
-5*(h - 595)**2
Suppose -70*h = -82*h - 112*h - 89*h - 4*h. Factor h*n**3 - 72/7*n - 44/7*n**2 + 4/7*n**4 - 32/7.
4*(n - 4)*(n + 1)**2*(n + 2)/7
Let y(o) be the second derivative of -o**7/280 + o**6/40 - 3*o**5/80 - 27*o**2/2 + 77*o. Let m(c) be the first derivative of y(c). Factor m(s).
-3*s**2*(s - 3)*(s - 1)/4
Let h be (5 - 2 - 7/1)*10. Let x be h/(-18) - (-14)/(-63). Factor -12*z**3 + x + 4*z + 4*z**3 + z**3 - 2*z**4 + 3*z**3.
-2*(z - 1)*(z + 1)**3
Let y(q) = q**2 + 5*q - 549. Let b be y(0). Let s = -546 - b. Suppose 5/6*l**s + 0*l + 0 + 1/3*l**2 - 2/3*l**4 - 1/2*l**5 = 0. Calculate l.
-2, -1/3, 0, 1
Let g = -4771 - -4774. Let z(p) be the third derivative of 0 - 2/9*p**g - 5/36*p**4 - 1/30*p**5 + 0*p - 17*p**2. Let z(f) = 0. Calculate f.
-1, -2/3
Let y(j) be the first derivative of -j**6/600 - j**5/100 + 3*j**4/5 + 4*j**3/3 - 19*j - 51. Let s(g) be the third derivative of y(g). Factor s(o).
-3*(o - 4)*(o + 6)/5
Let w = 1/189207 - -189205/378414. Let 10 + w*o**3 + 5*o**2 + 29/2*o = 0. Calculate o.
-5, -4, -1
Determine f so that -12*f**2 - 3/4*f**3 + 13*f + 1/4*f**4 + 24 = 0.
-6, -1, 2, 8
Let m be -11 + 6/((-756)/(-1414)). Let -m*q**5 + 2*q**4 - 2/3*q**3 - 8 - 146/9*q**2 - 64/3*q = 0. What is q?
-1, 6
Let b = -55 - -102. Suppose 439 = 4*r + b. Factor r - p**2 + 8*p - 86 - 3*p**2.
-4*(p - 3)*(p + 1)
Let r(o) = -329*o + 990. Let a be r(3). Let s(l) be the second derivative of 0 + 0*l**2 - 9/20*l**5 + 3/4*l**4 + 1/10*l**6 - 1/2*l**a + 24*l. Factor s(v).
3*v*(v - 1)**3
Let n(t) be the first derivative of t**4/2 - 220*t**3/3 - 1175*t**2 - 6000*t - 3582. Factor n(y).
2*(y - 120)*(y + 5)**2
Let v(k) be the first derivative of k**4/14 - 22*k**3/21 + k**2 + 80*k - 101. Let n(y) be the first derivative of v(y). Find h, given that n(h) = 0.
1/3, 7
Determine t so that 1/4*t**2 - 23 - 11*t = 0.
-2, 46
Let m = -355240 + 1776206/5. Let i = 10111/1405 - -1/281. Solve -i + 6/5*o + m*o**2 = 0.
-3, 2
Let l(k) = 2*k**2 - 1. Suppose -16*s - 8 = 8. Let c(n) = -7*n**2 - 498*n + 20672. Let q(o) = s*c(o) - 5*l(o). Solve q(f) = 0.
83
Suppose 9*j**3 + 1/3*j**4 + 0 + 20/3*j**2 - 52*j = 0. Calculate j.
-26, -3, 0, 2
Let o be ((-13920)/261)/(48/(-6)). Factor 32/3*h + 4/3*h**3 - o*h**2 - 16/3.
4*(h - 2)**2*(h - 1)/3
Let 399*i + 1296*i - 444223 - i**2 - 750426 - 1017*i + 1508*i = 0. Calculate i.
1093
Let b(j) be the third derivative of j**6/720 - 11*j**5/45 + 2581*j**4/144 - 4205*j**3/6 - 7*j**2 - 41*j + 1. Factor b(q).
(q - 30)*(q - 29)**2/6
Let d(j) be the second derivative of -1/54*j**4 + 0 + 111*j - 4*j**2 - 20/27*j**3. Factor d(p).
-2*(p + 2)*(p + 18)/9
Let -351/2*w**2 - 30625/2 + 30975/2*w + 1/2*w**3 = 0. What is w?
1, 175
Suppose 5*a - 109 = 71. Let r(m) = m**4 + m**3 - m - 1. Let g(o) = -11*o**4 - 8*o**3 + o**2 + 9*o + 9. Let u(d) = a*r(d) + 4*g(d). Solve u(t) = 0.
-1/2, 0, 1
Let h be (-10 - -2) + 20 + -13 + 5. Let s(i) be the second derivative of -3/10*i**5 + 0 + 7/6*i**h + 0*i**2 - 2/3*i**3 - 7*i. Suppose s(u) = 0. Calculate u.
0, 1/3, 2
Let x = -7579277/18588 + 5/4647. Let t = -407 - x. Factor t*j + 3/4*j**2 - 3/2.
3*(j - 1)*(j + 2)/4
Let p = -104 + 107. Suppose -p*c - 15 = -t, 6*c + 16 = 2*c. Factor 7*l**3 - 8*l**2 - 2*l**t - 4*l**2 - 8*l**2.
5*l**2*(l - 4)
Factor -72/5*q**2 - 3/5*q**4 + 0 + 0*q + 15*q**3.
-3*q**2*(q - 24)*(q - 1)/5
Let o = 17361 - 17359. What is h in 4/3*h - 1/3*h**3 + 1/3*h**4 + 0 - 4/3*h**o = 0?
-2, 0, 1, 2
Let c = -43 + 46. Solve 28*h**2 + 1400*h**4 - 1205*h**c - 104*h + 189*h + 187*h**2 + 5 - 500*h**5 = 0 for h.
-1/10, 1
Let y be (-4)/(-6)*(-4)/((-20)/15). Factor -21*h**3 - 20*h**3 - 4*h**y + 56*h**3 - 23*h**3.
-4*h**2*(2*h + 1)
Let l = -216249 - -216252. Let -1/2*y**l + 28*y - 30 - 11/2*y**2 = 0. Calculate y.
-15, 2
Let h(t) be the first derivative of 2*t**6/3 - 64*t**5/5 - 17*t**4 - 2590. Let h(f) = 0. Calculate f.
-1, 0, 17
Let v(j) = 11*j**3 - 226*j**2 + 2890*j + 6912. Let h(p) = 6*p**3 - 108*p**2 + 1446*p + 3456. Let a(n) = 5*h(n) - 3*v(n). Factor a(z).
-3*(z - 24)**2*(z + 2)
Let t(x) be the third derivative of -x**6/420 + 8*x**5/35 - 135*x**4/28 + 950*x**3/21 - 1269*x**2. Let t(b) = 0. What is b?
5, 38
Suppose 0*c + 20*c - 3480 = 0. Factor -3 - c*m**2 + 2*m**4 - 4*m**3 + 168*m**2 + 7 + 4 + 8*m.
2*(m - 2)**2*(m + 1)**2
Factor 173056/5*q**2 - 832/5*q**3 + 1/5*q**4 + 0*q + 0.
q**2*(q - 416)**2/5
Let o be (2/(-2))/(5/(-6)). Suppose -17*a + 69*a = 35430 - 35326. Factor 2/5*r**3 + 0 + 8/5*r**a + o*r.
2*r*(r + 1)*(r + 3)/5
Let x(v) be the third derivative of -v**5/100 - 521*v**4/20 - 1041*v**3/10 + 3*v**2 + 2*v + 246. Determine u, given that x(u) = 0.
-1041, -1
Let u(g) be the first derivative of 2*g**5/5 + 10*g**4 - 184*g**3/3 + 96*g**2 - 606. Suppose u(s) = 0. Calculate s.
-24, 0, 2
Let l(n) be the third derivative of n**5/48 + 45*n**4/32 + 105*n**3/4 - 489*n**2. Solve l(x) = 0 for x.
-21, -6
Let o(v) = -21*v**3 + v**2 - v - 2. Let x(n) = 129*n**3 + 24*n**2 + 105*n + 120. Let h(s) = 6*o(s) + x(s). Factor h(f).
3*(f + 3)**2*(f + 4)
Suppose 7*b = 9*b - 2. Let f(v) = -v**4 - v**2 + v - 1. Let c(h) = 2*h**4 + 200*h**3 + 2498*h**2 + 2*h - 2. Let u(n) = b*c(n) - 2*f(n). Factor u(t).
4*t**2*(t + 25)**2
Suppose 6516*u + 2993 - 16025 = 0. Solve -1/3*f - 1/3*f**5 + 14/3*f**u + 2/3*f**3 - 7/3*f**4 - 7/3 = 0 for f.
-7, -1, 1
Suppose -43*f + 25144 - 25058 = 0. Factor 4/9*c - 2/9*c**f + 2/3.
-2*(c - 3)*(c + 1)/9
Let z(l) be the first derivative of l**4/22 + 16*l**3/33 + 19*l**2/11 + 24*l/11 - 227. Let z(c) = 0. What is c?
-4, -3, -1
Let d(s) = -9*s + 1696. Let k be d(0). Factor 2*y**3 - 297 - k - 2401 + 233*y + 781*y - 78*y**2.
2*(y - 13)**3
Let n(v) be the third derivative of v**5/45 - 25*v**4/3 - 8841*v**2. Factor n(b).
4*b*(b - 150)/3
Let x = 2193409/6631383 - -57/8737. Let z = x - 1/253. Factor -1/3*w**2 - z - 2/3*w.
-(w + 1)**2/3
Let s = -709733/5 + 141947. Determine y, given that s*y**3 + 2/5*y**2 + 2/15*y + 0 + 2/15*y**4 = 0.
-1, 0
Let z(j) be the second derivative of -j**6/40 - 69*j**5/80 - 31*j**4/8 - 5*j**3 - 18*j - 46. What is d in z(d) = 0?
-20, -2, -1, 0
Let v(z) = 33*z**3 - 647*z**2 + 2387*z + 55922. Let k(u) = 20*u**3 - 388*u**2 + 1432*u + 33552. Let o(y) = 13*k(y) - 8*v(y). Suppose o(s) = 0. Calculate s.
-7, 20
Let x(j) be the first derivative of j**6/15 - 2*j**5/5 - 11*j**4/6 - 2*j**3 + 19*j + 24. Let i(r) be the first derivative of x(r). Factor i(n).
2*n*(n - 6)*(n + 1)**2
Suppose -3828 = -25*b - 4*b. Let x be b/10 + -1 + 1. Factor -16*k - 32/5 - 4*k**3 - 2/5*k**4 - x*k**2.
-2*(k + 1)**2*(k + 4)**2/5
Suppose 3*s - 159 + 147 = 0. Let p be 6/s*(-20)/(-120). Factor -1/2*o**3 - 3/4*o**2 + 0*o + p*o**4 + 0.
o**2*(o - 3)*(o + 1)/4
Solve -3313*o**5 + 10976*o**3 + 197136*o**2 - 1772*o**4 - 206336*o**3 + 3309*o**5 = 0 for o.
-222, 0, 1
Let q = -41263 + 247583/6. Let b(s) be the first derivative of -38 - 1/2*s**2 + q*s**3 - 1/2*s**4 + 0*s + 1/10*s**5. Factor b(v).
v*(v - 2)*(v - 1)**2/2
Let a(o) = -4*o**4 - 452*o**3 - 61501*o**2 - 121530*o - 60522. Let u(t) = -t**4 + 14*t**3 - 2*t - 2. Let s(d) = a(d) - 3*u(d). Solve s(f) = 0 for f.
-246, -1
Let c(d) = -d**3 - 5*d**2 - 15*d. Let v be c(-3). Suppose 41*p - v = 32*p. Factor -1/5*f**p - 3/5*f**2 - 1/5 - 3/5*f.
-(f + 1)**3/5
Let b(k) be the first derivative of k**6/6 + 59*k**5/5 + 169*k**4/4 + 53*k**3/3 - 85*k**2 - 112*k + 3403. Determine o so that b(o) = 0.
-56, -2, -1, 1
Let o(p) be the first derivativ