+ 2/15*v = 0. What is v?
-15, 16
Let z = -19 - -91. Suppose -3*g + 3*w + 222 = 0, 5*w - 4*w - 358 = -5*g. Find i, given that 84*i + z + 126*i**2 - 15*i**3 + 6*i**4 + g*i + 60*i**3 = 0.
-2, -3/2
Let c(q) = 9*q**2 - 42*q + 24. Let u(k) = 8*k**2 - 43*k + 24. Suppose -30 = 120*z - 115*z. Let f(j) = z*c(j) + 7*u(j). Let f(i) = 0. Calculate i.
1/2, 24
Let x(c) be the first derivative of -4/9*c**3 + 46/3*c**2 - 88 - 88/3*c. Determine d so that x(d) = 0.
1, 22
Let k be 425/100*(-3224)/(-186). Factor -k*r - 32/3*r**2 - 1/3*r**3 + 578/3.
-(r - 2)*(r + 17)**2/3
Let j(z) be the third derivative of -z**6/360 - z**5/15 + z**4/72 + 2*z**3/3 + 1240*z**2. Solve j(p) = 0 for p.
-12, -1, 1
Let l(v) be the second derivative of v + 2/21*v**7 + 4/3*v**4 - 12 + 2/3*v**3 + 6/5*v**5 + 0*v**2 + 8/15*v**6. Solve l(u) = 0 for u.
-1, 0
Let c be ((-1170)/(-910))/(6/(-7))*-2. Solve 0 + 4/3*k - 1/3*k**5 - k**c - 4/3*k**2 + 4/3*k**4 = 0 for k.
-1, 0, 1, 2
Let b(q) = -37*q**3 + 2*q + 1. Let l be b(-1). Factor -20 - 4*o**3 + l*o**2 - 12 - 72*o + 48 - 16.
-4*o*(o - 6)*(o - 3)
Let d be ((-1)/(-36))/((-12)/(-72)). Let n(v) be the first derivative of 10 + 0*v**2 + 1/4*v**4 + 1/10*v**5 + d*v**3 + 0*v. Factor n(o).
o**2*(o + 1)**2/2
Let r be ((-112)/(-32))/((-28)/12) - -2. Factor r*h**3 - 10*h + 12 + h**2.
(h - 2)**2*(h + 6)/2
Let k = 221 + -1101/5. Let w be (-54 - (-3621)/68)/((-45)/48). Factor w*j**2 - 2*j + 2*j**3 - k.
2*(j - 1)*(j + 1)*(5*j + 2)/5
Let n(x) be the second derivative of -x**5/8 + 1555*x**4/24 - 121675*x**3/12 + 120125*x**2/4 - x + 268. Factor n(a).
-5*(a - 155)**2*(a - 1)/2
Solve 372/5*z + 188/5 + 36*z**2 - 4/5*z**3 = 0 for z.
-1, 47
Let w(j) be the third derivative of j**8/168 + 11*j**7/15 + 151*j**6/60 + 5*j**5/2 + 11*j**2 + 29. Suppose w(v) = 0. What is v?
-75, -1, 0
Suppose 0 = -4*p + 5*j - 3*j + 16, -10 = -p + 2*j. What is u in -12*u - 120*u**p + 0*u - 1 + 170*u**2 - 86*u**2 = 0?
-1/6
Let c = 72068/5 - 216194/15. Factor 4*h + 18 - c*h**2.
-2*(h - 9)*(h + 3)/3
Suppose -1043*o = 49 - 869 - 1266. Determine j, given that -4*j - 1/2*j**3 + 5/2*j**2 + o = 0.
1, 2
Let m(v) be the second derivative of -v**4/78 + 40*v**3/39 + 41*v**2/13 + 197*v + 2. Let m(x) = 0. What is x?
-1, 41
Suppose 5*t - 4*l - 35 = 0, -5*t + 5*l + 28 = -12. Suppose 153 - 81 = 36*g. Find u, given that -2*u + 4*u**t - 7*u**3 - 3*u**g + 2*u**3 = 0.
-2, -1, 0
Let u be ((-32)/(-16) + 0)/32. Let y(m) be the third derivative of 0*m - 1/160*m**6 + 0 + 0*m**3 - 18*m**2 - 1/80*m**5 + u*m**4. Solve y(v) = 0.
-2, 0, 1
Suppose -7*n = 62 + 99. Let v be -2 + (0 - 3) - (16 + n). Suppose -2*g + 0 + 9/2*g**4 - 21/2*g**3 + 8*g**v = 0. Calculate g.
0, 2/3, 1
Let n(o) be the third derivative of o**8/336 + 19*o**7/210 - 11*o**6/24 - 283*o**5/60 - 35*o**4/4 + 5*o**2 - 51*o. Find w, given that n(w) = 0.
-21, -2, -1, 0, 5
Let j = -26 - -26. Suppose j*y = y - 2. Factor -y*v**2 + 54 - 66 + 5*v**2.
3*(v - 2)*(v + 2)
Let b(f) = 222*f + 3885. Let t be 6/33 - (6 - (-265)/(-55)). Let o(r) = r**2 - 2*r + 1. Let x(c) = t*b(c) - 3*o(c). Let x(v) = 0. What is v?
-36
Let s = -25517 + 25529. Let n(l) be the third derivative of 0*l**3 + 1/120*l**6 - 1/30*l**5 + 0 + s*l**2 + 0*l - 1/8*l**4. Solve n(f) = 0.
-1, 0, 3
Let i be (181/180 - 1)*(-57)/(-19). Let n(x) be the third derivative of -8*x**2 - 1/10*x**5 + 0 - 1/12*x**4 + 0*x + i*x**6 + 2/3*x**3 + 1/105*x**7. Factor n(h).
2*(h - 1)**2*(h + 1)*(h + 2)
Let n = -1249284 + 26236852/21. Factor -39546/7*g**4 - 32/21 + n*g - 12480/7*g**2 + 12168*g**3.
-2*(g - 2)*(39*g - 2)**3/21
Find t such that -468*t**3 - 198*t**5 - 197*t**5 - 224*t - 214*t**4 + 342*t**4 + 391*t**5 + 568*t**2 = 0.
0, 1, 2, 28
Factor -2/7 - 1310720000/7*j**4 - 307200/7*j**2 - 32768000/7*j**3 - 1280/7*j.
-2*(160*j + 1)**4/7
Let j be (-572)/(-165) + (0 - 5). Let z = 7/3 + j. Suppose -2/5*m**2 - z*m - 2/5 = 0. Calculate m.
-1
Suppose 8*a - c = 3*a + 96, 0 = -a + c + 16. Let b be (a/(-18) + 0)*60/(-100). Solve -b*u**3 + 0*u - 2*u**2 + 8/3 = 0 for u.
-2, 1
Suppose -4*u + 13*n = 9*n - 72, 2*u - 4*n = 42. Find t, given that -6*t**3 - 7*t**3 + 15*t**3 - 10*t + 7*t**2 - u*t**2 = 0.
-1, 0, 5
Let p(x) = 2*x**2 + 5*x + 8. Let y be p(-3). Factor -99 - 468*u + 21*u**2 + 283 + 10*u**2 - y*u**2.
4*(u - 23)*(5*u - 2)
Let z(j) = -8*j**3 + 0*j**2 + 0*j**3 + 4*j + 3*j**3 - 5 + 6*j**3 + 6*j**2. Let p be z(-5). Factor -1/2*f + p + 1/2*f**2.
f*(f - 1)/2
Suppose -657 = 7*d + 603. Let b be (1/5)/((-10)/d). Factor 108/5*o - b*o**2 - 216/5 + 1/5*o**3.
(o - 6)**3/5
Let m(i) be the second derivative of 3*i**5/40 + 79*i**4/2 + 313*i**3 + 936*i**2 - 2238*i. Factor m(d).
3*(d + 2)**2*(d + 312)/2
Let c(n) be the second derivative of -n**6/135 + 131*n**5/90 + 2*n**4/27 - 524*n**3/27 + 12060*n. Solve c(r) = 0 for r.
-2, 0, 2, 131
Let w = -26508 + 397456/15. Let b = w + 111/10. Find o, given that -b*o**2 - 2/3*o - 2/3 = 0.
-2
Let b be (-3)/(-7) + 15 + (8 - 20). Factor -b*w + 0 + 2/7*w**2.
2*w*(w - 12)/7
Let i(x) be the third derivative of -225*x**2 + 1/315*x**7 + 0*x - 1/15*x**5 - 11/360*x**6 + 1/1008*x**8 + 0 + 0*x**3 + 1/2*x**4. Determine a so that i(a) = 0.
-3, 0, 2
Let i(r) be the third derivative of -r**6/40 - 29*r**5/4 + r**4/2 + 290*r**3 + 396*r**2 - 3*r + 2. Factor i(o).
-3*(o - 2)*(o + 2)*(o + 145)
Let k(b) be the second derivative of b**7/5880 - 13*b**6/1260 + 17*b**5/840 - 119*b**4/12 + 51*b. Let o(p) be the third derivative of k(p). Factor o(u).
(u - 17)*(3*u - 1)/7
Suppose -27*y = 879 + 1227. Let g be 6 - ((-2664)/y)/6. Factor g + 2/13*c**2 + 6/13*c.
2*(c + 1)*(c + 2)/13
Let p be ((-4)/16)/(-5*(-8)/(-448)). Determine k, given that 2/5*k**2 + 12/5 + p*k = 0.
-6, -1
Let j(a) be the first derivative of 8*a**6/3 + 396*a**5/5 - 37*a**4 - 1220*a**3/3 - 246*a**2 + 200*a + 208. Determine m so that j(m) = 0.
-25, -1, 1/4, 2
Let v(m) be the first derivative of 0*m**2 + 24 + 7*m + 1/18*m**4 + 2/3*m**3. Let q(t) be the first derivative of v(t). Find i such that q(i) = 0.
-6, 0
Let f(z) = -z**2 - 6*z + 10. Let o be f(-7). Let p = -2487 - -2495. Factor 48*d**3 + 10*d**2 + p*d + 55*d**o - 101*d**3.
2*d*(d + 1)*(d + 4)
Suppose -132*r - 2*r = 19*r - 1224. Factor 0 + r*g**2 + 7/2*g**5 + 3/2*g + 15*g**3 + 12*g**4.
g*(g + 1)**3*(7*g + 3)/2
Let z = -44867/5 - -179663/20. Factor z*m + m**2 - 5/2.
(m + 10)*(4*m - 1)/4
Suppose 3*t - 55 = -2*d - 30, 3*d - 2*t = -8. What is u in 2/11*u**d - 2/11 + 2/11*u - 2/11*u**3 = 0?
-1, 1
Let r(j) = 12*j**3 - 69*j**2 + 55*j + 72. Suppose -2*k - 16 = -10*k. Let t(s) = -4*s - s**2 - 3*s + 6*s + 0*s**k. Let w(g) = r(g) - 5*t(g). Factor w(n).
4*(n - 3)**2*(3*n + 2)
Let v(i) be the first derivative of 5*i**3 + 85*i**2 - 120*i - 236. Factor v(c).
5*(c + 12)*(3*c - 2)
Factor -598/11*v + 338/11 - 50/11*v**3 + 310/11*v**2.
-2*(v - 1)*(5*v - 13)**2/11
Let r(d) = d**2 + d + 2. Suppose -56 + 83 = 9*p. Let z(g) = -173*g - 7567. Let x(a) = p*z(a) - 3*r(a). Factor x(b).
-3*(b + 87)**2
Suppose -1107/4*r**2 + 102675 + 3/8*r**3 + 101565/2*r = 0. What is r?
-2, 370
Let x(z) = 15*z**2 + 111*z + 288. Let n(b) = -2*b**2 - b - 8. Let w(g) = 9*n(g) + x(g). Determine v, given that w(v) = 0.
-2, 36
Let g(j) be the first derivative of 3*j**4/16 + 25*j**3 - 309*j**2/8 - 303*j/2 + 154. Factor g(t).
3*(t - 2)*(t + 1)*(t + 101)/4
Let d be (-22)/(-44)*(29/((-232)/80) - -14). Factor -1/2*g**4 - 67/2*g - 13 - 57/2*g**d - 17/2*g**3.
-(g + 1)**2*(g + 2)*(g + 13)/2
Let 19/3*d**2 - 12 + 16/3*d + 1/3*d**3 = 0. What is d?
-18, -2, 1
Let y = -58 + 57. Let z(b) = -6*b - 4. Let p be z(y). Factor 3*o**2 + 1 + p + 6 - 12*o.
3*(o - 3)*(o - 1)
Let u(j) = j**3 - 13*j**2 + 13*j - 9. Suppose -2*v = -33*v + 372. Let w be u(v). Find z such that 0 + 4/5*z**2 - 1/10*z**w - 8/5*z = 0.
0, 4
Let q = 239 - 235. Factor -q + 3*c - 2*c + c + 2*c**2.
2*(c - 1)*(c + 2)
Let n(y) be the third derivative of -y**8/35280 + y**7/441 - 19*y**6/1260 - 7*y**5/60 - y**3/6 - 77*y**2. Let d(b) be the third derivative of n(b). Factor d(p).
-4*(p - 19)*(p - 1)/7
Suppose -3*j - 3*t + 36 = 0, 569*j - 565*j + t - 18 = 0. Solve 2/7*d**j - 3/7*d + 1/7*d**3 + 0 = 0.
-3, 0, 1
Suppose v = 3*v + 2*r - 12, 0 = -2*v + 5*r - 9. Suppose 10*l**2 + v*l**2 + 20*l - 2 - 8*l**2 + 22 = 0. Calculate l.
-2
Let l be 4/(-1) + 282/987 + (-514)/(-112). Let 0 - l*j + 1/8*j**2 = 0. Calculate j.
0, 7
Let g(b) be the first derivativ