 Find r such that -i*r - 2 - h*r**2 = 0.
-3, -1/3
Let p(d) = 10*d**2 + 5*d - 1. Let u(x) = -x**2 - x - 1. Let f(k) = 3*p(k) + 21*u(k). Let y(h) = 10*h**2 - 8*h - 24. Let j(g) = 6*f(g) - 5*y(g). Factor j(s).
4*(s - 2)*(s + 3)
Let h(z) = -z**2 + 9*z + 10. Let p be h(10). Determine v so that 12*v**3 + 6*v**3 - 44*v**4 + 3*v**5 + 32*v**4 - 12*v**2 + p*v**5 + 3*v = 0.
0, 1
Let d(n) = n**2 + 3*n - 6. Suppose -23 = 4*m + v, 2*v = -2*m - 2*v - 22. Let h be d(m). Solve h*o - 4*o**2 + 83*o**5 - 85*o**5 - 2*o + 4*o**4 = 0.
-1, 0, 1
Suppose 0 = -6*t + 5*t + 206. Let v = -201 + t. Let 0 - 18/5*y**4 - 2/5*y**2 + 8/5*y**v + 0*y + 12/5*y**3 = 0. What is y?
0, 1/4, 1
What is k in 781*k**2 + 144*k + 153*k**3 + 13*k**4 - 517*k**2 + 23*k**4 + 3*k**5 = 0?
-4, -3, -1, 0
Let i(l) = 2*l + 14. Suppose -3*b = j + 2 + 12, -4*b + 3*j - 23 = 0. Let q be i(b). Let 1/3*w + w**3 + 0 - 1/3*w**q - w**2 = 0. Calculate w.
0, 1
Solve 75 - 1/3*k**5 + 10*k**3 - k**4 + 34/3*k**2 - 95*k = 0 for k.
-5, 1, 3
Factor 8 + 22/3*r - 2/3*r**2.
-2*(r - 12)*(r + 1)/3
Suppose -y - 2*y - 2*x + 17 = 0, 1 = x. Factor -3*t**2 + 16*t - t - t - y*t.
-3*t*(t - 3)
Suppose 4*x = 2*x. Suppose 0 = 59*q - 67*q + 45*q - 74. Find f such that 1/4*f + x + 1/4*f**q = 0.
-1, 0
Suppose 5*d = -3*p - 3 - 17, 0 = -2*p - 3*d - 12. Let j be ((-1)/(-2) - p)*6/12. Factor -3/4*w**2 + 0 - j*w.
-w*(3*w + 1)/4
Suppose -5*o - 20 = -2*n, -5*n + o + 9 = -18. Factor 3*r**n + 7/3*r**3 + 0 + 1/3*r**2 + 5*r**4 + 0*r.
r**2*(r + 1)*(3*r + 1)**2/3
Let w(f) be the first derivative of 12 + 1/16*f**4 + 7/12*f**3 + 9/4*f + 15/8*f**2. Suppose w(d) = 0. Calculate d.
-3, -1
Let m = -211/3 + 71. Let h = 1199 + -1197. Solve -m*g - 8/9*g**3 - 14/9*g**h + 0 = 0 for g.
-1, -3/4, 0
Let r(w) be the third derivative of 1/30*w**6 + 0*w - 17/15*w**5 + 1 + 3*w**2 - 128/3*w**3 + 40/3*w**4. Suppose r(h) = 0. Calculate h.
1, 8
Let j be 5/(25/10) + 2. Suppose j*u**2 + u**2 + 0*u**2 = 0. What is u?
0
Factor 36/7*m - 6*m**2 - 2/7*m**4 + 16/7*m**3 + 0.
-2*m*(m - 3)**2*(m - 2)/7
Let n(f) be the third derivative of -f**9/7560 - f**8/840 - f**7/252 - f**6/180 + 13*f**4/24 - 21*f**2. Let r(h) be the second derivative of n(h). Factor r(i).
-2*i*(i + 1)**2*(i + 2)
Find k such that -11/5 - 2*k + 1/5*k**2 = 0.
-1, 11
Factor 0*o + 1/7*o**5 + 5*o**3 + 11/7*o**4 + 25/7*o**2 + 0.
o**2*(o + 1)*(o + 5)**2/7
Let t(k) = -6*k**2 + 58*k - 52. Let y(w) = 2*w**2 - 19*w + 17. Let o(s) = -3*t(s) - 10*y(s). Factor o(b).
-2*(b - 7)*(b - 1)
Let a(h) = -2*h**3 - h + 1. Let y(t) = 2*t**3 + 32*t**2 - 40*t - 6. Let f(l) = -6*a(l) + y(l). Factor f(c).
2*(c - 1)*(c + 3)*(7*c + 2)
Find k such that 76/9*k - 34/9*k**2 + 112/9 + 2/9*k**3 = 0.
-1, 4, 14
Let z(o) be the second derivative of -3/8*o**3 + 0 + 1/16*o**4 - 3/2*o**2 + 23*o. Factor z(s).
3*(s - 4)*(s + 1)/4
Let v(z) be the second derivative of -z**5/5 + 44*z**4/3 - 968*z**3/3 - 4*z + 76. Find q, given that v(q) = 0.
0, 22
Let m = 4/749 - -103/749. Let c(j) be the first derivative of 8/7*j**2 - m*j**4 + 32/7*j - 8/21*j**3 - 2. Suppose c(a) = 0. Calculate a.
-2, 2
Factor 12/7*c**4 - 12/7*c**3 - 36/7 + 2/7*c**5 - 102/7*c - 88/7*c**2.
2*(c - 3)*(c + 1)**3*(c + 6)/7
Let z(q) be the third derivative of -q**6/660 + 2*q**5/165 + q**4/11 - 126*q**2. Solve z(b) = 0 for b.
-2, 0, 6
Let h be (-13 - 252/(-18))*1/2. Find x such that 0 + h*x**3 - x**2 + 1/2*x = 0.
0, 1
Suppose -x - 9 = -2*x - 3*r, -5*x + 4*r = -45. What is n in 4 - 4*n - 8*n**3 - n**4 + x*n**2 + 9*n**3 + 15*n = 0?
-1, 4
Let n(o) be the third derivative of -o**8/110880 + o**7/3465 - 7*o**6/3960 + o**5/20 - 30*o**2. Let i(q) be the third derivative of n(q). What is m in i(m) = 0?
1, 7
Let b = 10077 + -10075. Let 0 + b*j + 2/3*j**2 = 0. What is j?
-3, 0
Let l(o) be the second derivative of 2/45*o**6 + 1/15*o**5 + 0*o**3 + 0 + 0*o**2 - o + 1/36*o**4. Suppose l(p) = 0. Calculate p.
-1/2, 0
Let b = 52 + -48. Let d be (-2)/((-40)/(-12) - b). Factor -d*z + 0 + 3/2*z**2.
3*z*(z - 2)/2
Let g = 4 + -5. Let h be ((-6)/(-9)*g)/((-4)/3). Factor h*j**2 + 0 + 0*j + 1/4*j**3 - 1/4*j**4.
-j**2*(j - 2)*(j + 1)/4
Let c = 88 + -63. Suppose 2*y + 3*y = -o + 5, -5*o = c. Solve 1 + 5/3*r**y + 7/3*r + 1/3*r**3 = 0.
-3, -1
Let i(n) = n**2 - n + 1. Let y(z) = -2*z**2 - 37*z - 137. Let k(m) = -i(m) - y(m). Factor k(h).
(h + 4)*(h + 34)
Let o(k) be the first derivative of k**3 + 18 - k**2 + 2*k**2 - 4*k**2. Suppose o(z) = 0. Calculate z.
0, 2
Let m(q) = q**2 + 5*q + 2. Let f be m(-6). Let i = f - 6. Determine h, given that 4*h**2 - 3*h**2 + 21*h**3 - 16*h**i - 12 - 48*h = 0.
-1, -2/7, 2
Let 3/8*g**2 + 9/8 - 3/2*g = 0. Calculate g.
1, 3
Suppose 0 = 161*t - 172*t. Let s(w) be the second derivative of t - 1/50*w**5 + 0*w**2 + 0*w**4 + 9*w + 1/15*w**3. Find a, given that s(a) = 0.
-1, 0, 1
Let v(q) be the second derivative of q**6/180 + 103*q**5/120 + 901*q**4/24 + 289*q**3/4 - 744*q. Factor v(g).
g*(g + 1)*(g + 51)**2/6
Determine i, given that 2*i**5 - 60*i**2 - 20*i**3 + 5*i**4 - 1790 + 7*i**4 + 2*i**5 + 1838 + 16*i = 0.
-3, -2, -1, 1, 2
Let p(n) be the third derivative of -1/16*n**3 + 1/192*n**4 + 0 - 1/960*n**6 + 1/160*n**5 + 0*n + 5*n**2. Factor p(t).
-(t - 3)*(t - 1)*(t + 1)/8
Suppose -5*a + l + 0 = -11, l + 1 = 0. Suppose -4*m + 18 = -3*p + 4, -1 = -m + 2*p. Factor -1/2*g**3 + 0*g**a + 0 + 0*g - 1/2*g**m + g**4.
-g**3*(g - 1)**2/2
Let o = 856/9 + -94. Let f = o - 32/45. Factor 2/5*c**3 + 2/5*c**4 - 6/5*c**2 + 4/5 - f*c.
2*(c - 1)**2*(c + 1)*(c + 2)/5
Let l = 845/73332 - -1/2619. Let o(u) be the second derivative of -u**2 + 2/3*u**3 + 0 - 1/24*u**4 - l*u**7 + 1/12*u**6 + 6*u - 7/40*u**5. Solve o(g) = 0 for g.
-1, 1, 2
Let l(p) be the first derivative of -p**6/540 - p**5/45 - p**4/12 - p**3/3 + 7. Let x(d) be the third derivative of l(d). Factor x(k).
-2*(k + 1)*(k + 3)/3
Suppose -2*f + 64 - 56 = 0. Let v(i) = -11*i**3 - 23*i**2 + 21*i + 47. Let g(l) = 6*l**3 + 12*l**2 - 10*l - 24. Let x(y) = f*v(y) + 7*g(y). Factor x(o).
-2*(o - 2)*(o + 1)*(o + 5)
Let p(k) be the first derivative of -4*k**5/5 - 13*k**4 - 76*k**3 - 190*k**2 - 200*k - 179. Let p(j) = 0. What is j?
-5, -2, -1
Let w(f) = 17*f**2 - 67*f + 40. Let l(q) = 4*q**2 - 16*q + 10. Let v(g) = 26*l(g) - 6*w(g). Suppose v(s) = 0. What is s?
2, 5
Let a be ((-26)/10 - -3) + 12/(-5). Let q be -6*(-12)/40 + a/(-10). Factor 0 - 4/5*f**q - 2/5*f - 2/5*f**3.
-2*f*(f + 1)**2/5
Let o(w) = -w**3 - 3*w**2 + 4*w + 6. Let b be o(-4). Let p be 9/b*24/9. Solve 12/5*i**2 - 3/5*i - 3/5*i**5 + 6/5*i**3 - 6/5*i**p - 6/5 = 0.
-2, -1, 1
Let d(b) be the first derivative of -5*b**4/4 - 20*b**3 - 105*b**2/2 - 50*b - 24. Solve d(v) = 0.
-10, -1
Let o(l) be the third derivative of -3*l**8/560 - 4*l**7/175 + 7*l**6/300 + 4*l**5/75 + l**4/40 - l**2 - 6*l. Let o(a) = 0. Calculate a.
-3, -1/3, 0, 1
Let d be 1/(-9) - (-675)/3888. Let x(q) be the third derivative of 0 - 7*q**2 + 0*q**3 + d*q**4 - 1/40*q**5 + 0*q. Determine t, given that x(t) = 0.
0, 1
What is z in -7/6*z + 1/12*z**2 + 49/12 = 0?
7
Let m be (((-12)/(-9))/2)/(2/198). Let p = 71 - m. Factor 3/2*d**p - 7/2*d**4 + d**2 - 1/2*d + 5/3*d**3 - 1/6.
(d - 1)**3*(3*d + 1)**2/6
Let p = -12407 - -12411. Suppose 3*h - 16 = h + 2*t, -3*h = -5*t - 34. Let 2/3 + 2/3*a**p + 4*a**2 + 8/3*a + 8/3*a**h = 0. What is a?
-1
Let m(s) be the first derivative of s**6/40 - s**5/4 + s**4 - 2*s**3 - 5*s**2/2 + 16. Let j(b) be the second derivative of m(b). Find g, given that j(g) = 0.
1, 2
Let w(i) be the second derivative of -3*i**6/20 + 9*i**5/8 - 25*i**4/8 + 125*i**3/36 + 11*i. Find k such that w(k) = 0.
0, 5/3
Let j(h) be the second derivative of 15*h + 1/60*h**5 - 1/180*h**6 + 1/3*h**2 - 2/9*h**3 + 1/24*h**4 + 0. Let j(r) = 0. What is r?
-2, 1, 2
Let v = -96 - -102. Find h such that -v*h**2 - 148 + 2*h + 148 - 6*h = 0.
-2/3, 0
Let q(w) be the first derivative of -5*w**4/8 - 85*w**3/3 + 175*w**2/4 - 68. Suppose q(t) = 0. What is t?
-35, 0, 1
Suppose 5*c = -4*x + 3 - 1, c - 5*x = 12. Suppose -4*d = 5*z - 4, 4*d + c = 6. What is j in -4*j**2 + 4*j + z*j - 2*j + 2*j = 0?
0, 1
Factor 4/7*m + 1/7*m**4 + 6/7*m**2 - 5/7*m**3 - 8/7.
(m - 2)**3*(m + 1)/7
Let k(n) be the second derivative of -4*n**7/21 + 162*n**6/5 - 15123*n**5/10 + 43921*n**4/12 - 3620*n**3 + 1800*n**2 + 204*n. Factor k(f).
-(f - 60)**2*(2*f - 1)**3
Let g be (0 - (4 - -1))*1067/(-1067).