 t such that -270*t - 2/7*t**2 + 0 = 0.
-945, 0
Let x be 475/100 - (-3)/(-4). Factor 163*d**3 - 67*d**3 - 4*d**5 + 7*d**x - 19*d**4 - 80*d**3.
-4*d**3*(d - 1)*(d + 4)
Let t(s) = -22 + 3*s + 13 + 20. Let q be t(-3). Suppose -24 + m**2 - 7*m**2 - 3*m**2 + 17*m**q + 4*m = 0. Calculate m.
-2, 3/2
Let i(s) = -s**3 + 13*s**2 - 22*s + 6. Let c be i(11). Let 4*t**5 + 12*t**4 + t**2 - 12*t - t**3 - 9*t**2 + 2 + 9*t**3 - c = 0. What is t?
-1, 1
Let m(h) be the third derivative of h**10/604800 - h**8/26880 + h**7/10080 + 7*h**5/4 - 174*h**2. Let t(f) be the third derivative of m(f). Factor t(i).
i*(i - 1)**2*(i + 2)/4
Suppose h = 2*h - v, h + v - 10 = 0. Suppose 4*l + 2 = -x + 4*x, 2*x - h*l = -1. Determine z so that -2/15*z**x - 6/5 - 4/5*z = 0.
-3
Let b(y) be the third derivative of y**5/12 - 35*y**4/12 + 55*y**3/2 + 1191*y**2. Let b(n) = 0. Calculate n.
3, 11
Suppose 5*n**5 - 260048*n - 390*n**3 - 26*n**4 + 406*n**4 + 260433*n - 380*n**2 = 0. Calculate n.
-77, -1, 0, 1
Let -50/11*k**2 + 50/11 - 2/11*k + 2/11*k**3 = 0. What is k?
-1, 1, 25
Let f = -10814/955 + 2392/191. Factor 54/5*g + 36/5*g**2 - 84/5 - f*g**3.
-6*(g - 7)*(g - 1)*(g + 2)/5
Suppose 316 = -o + 321. Factor 26*v**5 - 14*v**5 - 5*v**3 + 6*v**4 + 14*v**3 + 4*v**2 - 11*v**o.
v**2*(v + 1)**2*(v + 4)
Let f(n) be the third derivative of 1/336*n**8 + 0*n**5 + 3*n**2 + 0*n**4 + 1/60*n**6 + 3*n + 0*n**3 + 0 - 1/70*n**7. What is d in f(d) = 0?
0, 1, 2
Let k = -479 + 938. Let v be (-5 - k/(-90))*4*14. Solve v*i**2 + 4/5*i**3 + 4 + 44/5*i = 0.
-5, -1
Let f be (3440/(-245) - (-128)/3136) + (-80)/(-5). Determine x, given that 9/2 + 37/2*x + 21*x**3 + 29*x**f + 1/2*x**5 + 13/2*x**4 = 0.
-9, -1
Let n = 265 - 262. Suppose d - 8 = 4*j, n*d + 2*j - 3 = 7. Let -14/5*a**2 + 2*a**3 - 2/5*a**d + 0 + 6/5*a = 0. Calculate a.
0, 1, 3
Let j be (78/(-24))/((-2)/8). Let x be 27/5 + j + -18. Solve x*c**3 + 8/5 + 0*c - 6/5*c**2 = 0.
-1, 2
Let f = 1 + 1. Find n, given that -17*n + 3*n**3 - 21*n - 19*n + 45*n - 12 + 3*n**f = 0.
-2, -1, 2
Factor 34/15*v**2 + 28/3*v + 0 + 2/15*v**3.
2*v*(v + 7)*(v + 10)/15
Let n(o) be the third derivative of -o**6/80 - 11*o**5/30 + 17*o**4/48 + 5*o**3/2 + 22*o**2 + 40. Determine q, given that n(q) = 0.
-15, -2/3, 1
Suppose 105*o = 123*o + 180. Let a be 5/(-1) + 0 - o/2. Find r such that a*r**2 - 2/13*r**4 - 4/13*r + 2/13 + 4/13*r**3 = 0.
-1, 1
Let s be -196 + 196 - (1 - 1*26). Let g be (55/(-45) - -1) + s/45. Suppose g*k**3 + 2/3*k**4 + 0 - 1/3*k**5 + 0*k - 2/3*k**2 = 0. Calculate k.
-1, 0, 1, 2
Suppose 3*p - 2*v = 150, -11*p - 4*v - 200 = -15*p. Find x, given that 217 - 16*x**2 + 280*x + 25*x**2 + p*x**2 - 317 + 3*x**3 = 0.
-10, 1/3
Let g = -668231/5 + 133647. Let -g + 4/5*z**2 - 6/5*z = 0. Calculate z.
-1/2, 2
Suppose -11 = -9*q + 25. Let o be 0/(-3) + 35/q + -5. Determine a so that -5/4*a + 15/4 - o*a**2 + 5/4*a**3 = 0.
-1, 1, 3
Let t(d) be the second derivative of -d**7/399 + 8*d**5/95 - d**4/3 + 11*d**3/19 - 10*d**2/19 - 2*d - 225. Solve t(u) = 0.
-5, 1, 2
Let m(u) = -2*u**2 + 115*u + 311. Let h be m(60). Let t(r) be the first derivative of h + 15/16*r**4 + 0*r**2 + 0*r + 1/2*r**3. Factor t(w).
3*w**2*(5*w + 2)/4
What is u in -2/5*u**2 + 168 - 26/5*u = 0?
-28, 15
Suppose -5 = l, 5*l = 5*y + 6*l - 10. Factor -5*k**y - 4*k + 29535 - 21*k - 29475 - 30*k**2.
-5*(k - 1)*(k + 3)*(k + 4)
Let v(t) be the second derivative of 0 - 1/4*t**5 + 1/36*t**4 - 1/90*t**6 + 0*t**2 + 5/6*t**3 + 140*t. Find w, given that v(w) = 0.
-15, -1, 0, 1
Let w(q) be the second derivative of 3/2*q**5 + 1/6*q**6 - 15/2*q**2 + 62*q + 5/6*q**4 + 0 - 5/42*q**7 - 25/6*q**3. Solve w(a) = 0 for a.
-1, 1, 3
Determine z, given that 18978*z - 9477*z**2 + 3/2*z**4 + 3147/2*z**3 - 12660 = 0.
-1055, 2
Let b(s) be the third derivative of -s**8/420 + s**7/25 + 19*s**6/60 + s**5/3 - 9*s**4/5 - 56*s**3/15 - 210*s**2 - 24. Determine j, given that b(j) = 0.
-2, -1/2, 1, 14
Suppose 2/11*l**3 + 816*l**2 + 608740352 + 1220736*l = 0. Calculate l.
-1496
Let r be (-68)/(-16) - (-18)/24. Factor -r*c**5 - c**4 + 24*c**4 + 20*c**2 - 5*c - 6*c**3 - 24*c**3 - 3*c**4.
-5*c*(c - 1)**4
Let x(k) be the first derivative of k**4/10 + 52*k**3/5 + 153*k**2/5 + 152*k/5 - 1299. Factor x(z).
2*(z + 1)**2*(z + 76)/5
Suppose u + 83 = -2*x, 2*x + 4*u = -2*x - 160. Let n = -38 - x. Find k, given that n*k**3 - 40*k**4 + 50*k**2 - 6*k**2 - 42*k**5 - 4 - 6*k + 43*k**3 = 0.
-1, -2/7, 1/3, 1
What is b in 2/9*b**5 + 964/9*b**2 - 266/3*b - 82/9*b**4 - 98 + 796/9*b**3 = 0?
-1, 1, 21
Let x(d) be the second derivative of d**6/1800 - d**5/75 + 2*d**4/15 + 2*d**3/3 - d**2/2 + 160*d. Let r(o) be the second derivative of x(o). Solve r(m) = 0.
4
Let n(s) be the third derivative of -s**6/330 + 13*s**5/66 + 101*s**4/132 + 34*s**3/33 - s**2 + 992. Determine a so that n(a) = 0.
-1, -1/2, 34
Solve 0 + 11*y + 1/4*y**2 = 0 for y.
-44, 0
Let t = -57967/50991 - 6/739. Let u = -11/23 - t. Suppose 10/3 + u*y**2 - 4*y = 0. Calculate y.
1, 5
Let n(s) = -3*s**3 + 2*s**2 - 3*s - 8. Let d(j) = 4*j**3 - j**2 + 2*j - 5. Let c(l) = 4*d(l) + 5*n(l). Factor c(r).
(r - 3)*(r + 4)*(r + 5)
Let x(h) = -5*h + 26. Let q be x(3). Let -7*g**2 + 14 + 15 - g**3 + 9 - 43 - q*g = 0. Calculate g.
-5, -1
Let n = -1138/21 - -166/3. What is j in -2*j**3 + n + 32/7*j + 10/7*j**2 = 0?
-1, -2/7, 2
Let o(r) be the first derivative of -r**4/2 + 218*r**3/3 - 215*r**2 + 214*r + 501. Suppose o(t) = 0. What is t?
1, 107
Let a(u) be the second derivative of -5/3*u**3 - 121*u - 5/12*u**4 + 15/2*u**2 + 0. Factor a(q).
-5*(q - 1)*(q + 3)
Factor 1580*p + 3731*p - 8775*p - 4*p**2.
-4*p*(p + 866)
Let l(y) = y**3 - y + 4. Let q be l(0). Suppose 5*w + 56 = 51, -4*k - 4 = q*w. Factor 0*t + 0*t**2 + k + 1/5*t**3 + 1/5*t**4.
t**3*(t + 1)/5
Let r = 2118 + -2118. Let i(t) be the third derivative of -1/180*t**6 - 12*t**2 + 0 + 0*t - 2/45*t**5 + r*t**3 + 0*t**4. Solve i(o) = 0.
-4, 0
Let v(j) be the third derivative of -j**6/420 + j**5/35 + 121*j**4/84 - 6*j**3 + 595*j**2 + 1. Find i, given that v(i) = 0.
-9, 1, 14
Let k(n) = -3*n - 2*n + 11*n**2 + 13*n - 19 + 0*n. Let r(d) = -5*d**2 - 4*d + 9. Let m(v) = 3*k(v) + 7*r(v). Let m(f) = 0. What is f?
-3, 1
Let j(l) be the third derivative of -2/5*l**6 + 0*l**3 + 1/3*l**4 - 2/105*l**7 + 0*l - 10*l**2 - 1/3*l**5 + 1/21*l**8 + 6. Let j(a) = 0. Calculate a.
-1, 0, 1/4, 2
Let r(p) = -p**2 + 36*p - 3. Let s = -545 - -544. Let g(t) = t**2 + 4*t - 1. Let q(x) = s*r(x) + 3*g(x). Factor q(d).
4*d*(d - 6)
Suppose -18*i + 24 = -6*i. Factor 10*g**i + 4*g**2 - g**2 - 6*g**2 - 6*g**2.
g**2
Suppose 5*m = 8*u - 5*u - 43, -u + 17 = -3*m. Suppose 2*o + 10 = i, 10*i - 4*o - 20 = u*i. Suppose i + 0*d - 2/11*d**2 = 0. What is d?
0
Suppose -3 = 2*d + 59. Let f = 34 + d. Factor 6*w**2 - 3*w + 3*w**f + 6*w**2 + 3*w + 4*w - 5*w**4.
-w*(w - 2)*(w + 1)*(5*w + 2)
Let f(k) be the second derivative of 3*k**5/20 - 561*k**4/4 + 39480*k**3 - 117600*k**2 + 105*k + 3. Let f(p) = 0. What is p?
1, 280
Suppose 1176 + 354 = 28*w + 23*w. Let h(n) be the second derivative of 0*n**2 + 0*n**3 + 0 - 1/8*n**4 - w*n - 3/20*n**5 - 1/20*n**6. Factor h(p).
-3*p**2*(p + 1)**2/2
Let d be (-25 - -26)*(0 + -1). Let y be 62/(-217)*(d + -6). Determine h, given that -8/7*h**y + 0*h + 0*h**3 + 2/7*h**4 + 0 = 0.
-2, 0, 2
Suppose 131 = 5*u + 116. Factor -u*m - m**2 - 10*m + 4*m**2 + 4*m.
3*m*(m - 3)
Let g be 2/9 + 5340/270. Let y be g/(-110) + 48/22. Determine i so that -i**2 - 2*i**y + i**3 + 16 - 13 - i = 0.
-1, 1, 3
Let a be (25 - 16) + (-2 - -15) + 3. Let w(l) be the second derivative of 0*l**4 + 15*l**2 - a*l + 1/4*l**5 - 35/6*l**3 + 0. Factor w(b).
5*(b - 2)*(b - 1)*(b + 3)
Suppose 41*u + 234 = 54*u. Factor 42 + 10*v**2 - u*v**2 + 5*v**2 - 39*v.
-3*(v - 1)*(v + 14)
Factor -2*f**2 + 1156*f - 838*f - 8427 + 0*f**2 - 4*f**2 + 3*f**2.
-3*(f - 53)**2
Suppose -264*u + 53*u - 16*u - 102 + 556 = 0. Factor 0 - 1/8*l**3 - 1/4*l + 3/8*l**u.
-l*(l - 2)*(l - 1)/8
Let i be (-64)/(-6)*87/(-58) + 68. Factor -1014 - i*a - 2/3*a**2.
-2*(a + 39)**2/3
Let k = -3462 + 3467. Let w(g) be the first derivative of 0*g**2 + 0*g + 0*g**k + 1/33*g**6 + 0*g**3 + 0*g**4 - 11. Factor w(i).
2*i**5/11
Let x(z) = -8*z**4 - 18*z**3 - 65*z**2 + 205*z + 235. Let u(s) = 3*s**4 + 8*s**3 + 32*s**2 - 102*s - 119. Let q(a) = -5*u(a) - 2*x(a). Factor q(i).
(i - 5)**2*(i + 1)*(i + 