 - 176/3 + 4/3*q**3.
4*(q - 1)*(q + 1)*(q + 44)/3
Let h be 2261/(-136) + 16 + 7 + (-298)/48. Determine i, given that -10/3*i - 1/3*i**4 + 4/3*i**2 - h*i**5 - 8/3 + 11/6*i**3 = 0.
-4, -1, 2
Let j = 30788 + -30786. Let p(u) be the first derivative of 0*u + 3 + 1/24*u**4 - 1/4*u**j + 1/9*u**3. Factor p(k).
k*(k - 1)*(k + 3)/6
Let p(w) = -w**2 + 20*w - 16. Suppose -22*g + 304 = -6*g. Let k be p(g). What is d in 148*d**5 - 32*d**k + 7*d**3 - 10*d**4 + 30*d**2 - 143*d**5 = 0?
-2, 0, 1, 3
Let l be (105/(-280))/(222/(-7832)). Let t = l + 10/37. Factor -21/2*z**2 + 45/2*z - t + 3/2*z**3.
3*(z - 3)**2*(z - 1)/2
Let s(j) = -33*j**2 + 367*j - 1540. Let v(w) = 123*w**2 - 1470*w + 6162. Let h(u) = 15*s(u) + 4*v(u). Factor h(g).
-3*(g - 4)*(g + 129)
Let u be 0/(-5 - -12) - -2. Solve 353*d**2 + u*d**3 - 355*d**2 - d**3 + 0*d**3 = 0.
0, 2
Let l(g) = -g**3 + 7*g. Let c be (-2 - 2/2) + 0. Let i be l(c). Suppose 3*f**2 + 4 + 2 - 10*f + 7*f - i*f = 0. Calculate f.
1, 2
Let d(c) be the second derivative of 2*c**3 - c - 14 - 28*c**2 + 2/3*c**4. Let d(l) = 0. Calculate l.
-7/2, 2
Let n(f) = -79*f + 6296. Let m be n(69). Find k such that -145/3*k**2 - 5/3*k**3 - m - 1235/3*k = 0.
-13, -3
Let x(f) = -51*f**2 + 50*f**2 + f + 0*f. Let l(q) = q**4 + 6*q**3 + 7*q**2 - 2*q. Let g(s) = l(s) + 2*x(s). Solve g(h) = 0.
-5, -1, 0
Let g(i) = -27*i**2 + 249*i - 51. Let n(u) = -81*u**2 + 747*u - 154. Let k = -335 + 332. Let h(f) = k*n(f) + 8*g(f). Factor h(x).
3*(x - 9)*(9*x - 2)
Let f(m) be the first derivative of -m**5/15 + m**4/6 + 20*m**3 + 575*m**2/3 + 2125*m/3 - 236. Find o, given that f(o) = 0.
-5, 17
Let 245*j - 705*j - 455*j**2 - 7512789*j**3 + 7512794*j**3 = 0. What is j?
-1, 0, 92
Solve -12288/7 + 138/7*p**3 + 1440/7*p**2 + 3/7*p**4 + 384*p = 0.
-32, -8, 2
Let b = 6171 - -3662. Let p = 108235/11 - b. Factor p - 24/11*k + 2/11*k**2.
2*(k - 6)**2/11
Let o(z) be the first derivative of -35/11*z**2 + 26/33*z**3 + 154 - 1/22*z**4 - 98/11*z. Factor o(n).
-2*(n - 7)**2*(n + 1)/11
Let m(u) = -3*u**2 + 5*u + 2. Let c(b) = -13*b**2 - 6*b + 64. Let r(j) = c(j) - 4*m(j). Determine n so that r(n) = 0.
-28, 2
Let z(g) be the first derivative of -55*g**4/4 + 40*g**3 - 10*g**2 + 1352. Find s, given that z(s) = 0.
0, 2/11, 2
Let r(b) be the third derivative of -11/120*b**6 + 0*b**3 - 2/9*b**4 + 2/315*b**7 + 0 + 2/5*b**5 - 22*b**2 + 0*b. Solve r(h) = 0.
0, 1/4, 4
Let a = -175 - -180. Let 20*m**3 + 10*m + 0*m**4 - 162*m**2 - 5*m**4 - a*m**4 + 2*m**5 - 2 + 142*m**2 = 0. What is m?
1
Let t(j) be the third derivative of 88*j**2 - 1/8*j**4 + 1/10*j**5 + 0 + 0*j - 1/2*j**3. Factor t(k).
3*(k - 1)*(2*k + 1)
Let x = 21854 - 21851. Factor -11/5*n**x - 9/5*n + 2/5 + 3/5*n**4 + 3*n**2.
(n - 1)**3*(3*n - 2)/5
Find d such that 40/3 - 70/3*d + 65/3*d**3 - 5/3*d**2 + 5/3*d**5 - 35/3*d**4 = 0.
-1, 1, 2, 4
Let t be (-73)/((-2044)/(-168)) + 8. Let r be 4/(-10) - 54/(-35). Factor -r + 88/21*s - 2/3*s**t.
-2*(s - 6)*(7*s - 2)/21
Determine k so that 0*k - 364/3*k**4 + 0 + 4*k**2 + 1088/3*k**3 = 0.
-1/91, 0, 3
Let s = 226764/1473797 + -2/113369. Factor 512/13 - 62/13*o**2 - s*o**3 - 448/13*o.
-2*(o - 1)*(o + 16)**2/13
Let j(h) = 7*h**4 - 359*h**3 - 361*h**2 + 357*h + 364. Let f(x) = -29*x**4 + 1438*x**3 + 1442*x**2 - 1429*x - 1458. Let k(r) = -2*f(r) - 9*j(r). Factor k(s).
-5*(s - 72)*(s - 1)*(s + 1)**2
Let l(k) be the second derivative of k**5/10 - 4*k**4/3 + 4*k**3 + 1858*k. Factor l(q).
2*q*(q - 6)*(q - 2)
Suppose -45*k + 50*k - 15 = -y, 26 = 3*k + 4*y. Let q be ((-35)/(-14) + -1)/(7/k). Factor 27/7*h**2 + 3*h + 15/7*h**3 + q*h**4 + 6/7.
3*(h + 1)**3*(h + 2)/7
Let x(w) be the third derivative of -w**6/270 + 44*w**5/135 + w**4/54 - 88*w**3/27 + 1648*w**2. Factor x(z).
-4*(z - 44)*(z - 1)*(z + 1)/9
Let f = 248 - 209. Find b, given that 24 + 124*b**2 + f*b + 20*b**3 - 4 + 85*b = 0.
-5, -1, -1/5
Let h(k) be the second derivative of 3*k**5/100 - k**4 + 42*k**3/5 - 12*k - 116. Find p such that h(p) = 0.
0, 6, 14
Let y(g) = -21*g**3 - 23*g**2 - 108*g - 106. Let r(m) = 5*m**3 + 6*m**2 + 27*m + 26. Let h(a) = 25*r(a) + 6*y(a). Find u, given that h(u) = 0.
-1, 14
Let -78/5 - 1/5*s**2 - 19/5*s = 0. What is s?
-13, -6
Let h(b) be the third derivative of 0*b - 1/70*b**7 + 3/40*b**6 + 4*b**3 + 5 - 5*b**2 - 3/2*b**4 + 1/10*b**5. Suppose h(q) = 0. Calculate q.
-2, 1, 2
Let z(h) be the second derivative of h**5/40 + h**4/2 + 35*h**3/12 + 6*h**2 + 92*h. Factor z(q).
(q + 1)*(q + 3)*(q + 8)/2
Suppose 13*v = -9*v - 88. Let s be 9/(324/114) - v/(-6). Solve -1/2*f**4 - 3/2*f + s*f**2 + 3/2*f**3 - 2 = 0.
-1, 1, 4
Factor 0*l + 36/5*l**5 + 0 - 84*l**4 - 44/5*l**2 + 268/5*l**3.
4*l**2*(l - 11)*(3*l - 1)**2/5
Let s(d) = -6*d**3 - 26*d**2 - 12*d - 1. Let n(z) = 7*z**3 + 26*z**2 + 13*z. Suppose 0 = 10*l + 20. Let r(y) = l*s(y) - 3*n(y). Factor r(c).
-(c + 1)*(c + 2)*(9*c - 1)
Let o(b) = -6*b - 84. Suppose g = -5*u - 9, 4*g - 4 = -3*u - 57. Let a be o(g). Solve -4/5*l**4 - 2*l**3 - 8/5*l**2 + a - 2/5*l = 0 for l.
-1, -1/2, 0
Suppose -3345 = 165*s - 814*s - 570*s + 104*s. Find b such that 186/5*b + 18/5*b**4 + 129/5*b**s + 273/5*b**2 + 24/5 = 0.
-4, -2, -1, -1/6
Let c(o) be the second derivative of o**4/12 + 4*o**3/3 - 33*o**2/2 + o - 563. Find w such that c(w) = 0.
-11, 3
Suppose 434*r = 15*r + 75*r - 565*r + 1818. Determine g, given that -44/9*g + 0 + 2*g**r + 2/9*g**3 = 0.
-11, 0, 2
Factor 848*i**2 + 17*i + 45*i - 1275 + 33*i - 753*i**2 + 5*i**3.
5*(i - 3)*(i + 5)*(i + 17)
Let b be (-4168)/(-2605) + (0 - 2) + (-60)/(-25). Factor 3/7*a**b + 66/7 - 69/7*a.
3*(a - 22)*(a - 1)/7
Suppose -1097 = -752*d + 1159. Let u(s) be the second derivative of 0*s**2 + 1/12*s**4 - 25*s - 1/2*s**d + 0. Factor u(i).
i*(i - 3)
Let 2*x**4 + 25*x**2 + 22*x**3 - 41*x**3 - 31711*x + 31703*x = 0. Calculate x.
0, 1/2, 1, 8
Suppose 3 = -534*a + 535*a - 0. What is x in -2/13*x**a - 12/13*x**2 - 18/13*x + 0 = 0?
-3, 0
Let f(r) be the first derivative of 1/100*r**5 + 0*r - 1/5*r**4 - 40/3*r**3 - 44 + 1/600*r**6 + 0*r**2. Let w(o) be the third derivative of f(o). Factor w(p).
3*(p - 2)*(p + 4)/5
Let c(t) = -t**2 - 10*t - 17. Suppose 6*n + 42 = -0*n. Let x be c(n). Find g, given that 120*g**3 + 97*g + 27*g - 1044 + 8*g**x - 208*g**2 - 20*g**5 + 1020 = 0.
-3, 2/5, 1
Let s(b) be the first derivative of 2*b**5/35 + 12*b**4/7 - 50*b**3/21 - 4063. Factor s(x).
2*x**2*(x - 1)*(x + 25)/7
Factor -2/9*y**4 + 0*y + 0 + 2/9*y**2 + 0*y**3.
-2*y**2*(y - 1)*(y + 1)/9
Find n such that -1/3*n + 0 + 8/3*n**4 - 11/2*n**2 - 5/2*n**3 = 0.
-1, -1/16, 0, 2
Suppose -2*i - 4*h + 45 - 1 = 0, -2*i + 65 = -3*h. Factor -8*b**3 + 20*b**4 - 18*b**2 - 4*b**3 + i*b - 18*b**4.
2*b*(b - 7)*(b - 1)*(b + 2)
Let t = 91 - 88. Factor -5*w**3 + 20*w + 11*w - 29*w + t*w**3.
-2*w*(w - 1)*(w + 1)
Let b(v) be the third derivative of 1/120*v**6 - 22*v**2 - v + 27/8*v**3 + 73/240*v**5 + 57/16*v**4 + 0. What is m in b(m) = 0?
-9, -1/4
Let 16*a**5 + 8396*a**2 + 27872*a**3 - 27888*a - 2956 - 587*a**4 - 4901 + 801 - 284*a**4 - 469*a**4 = 0. What is a?
-1, -1/4, 1, 42
Let k(d) = 4*d - 33. Let a be k(10). Let o be ((-10)/(-4))/(a/42*3). What is l in o*l**4 - 372*l**3 + 382*l**3 + 16*l**2 + 5*l + 1 - 6*l**2 + l**5 = 0?
-1
Let p = -5/9063 - -4033/9063. Find h such that 0 + h**2 - p*h - 2/3*h**3 + 1/9*h**4 = 0.
0, 1, 4
Let n be (-1 + (-10)/4)*12672/(-21252). Factor n*v - 2/23*v**2 - 2.
-2*(v - 23)*(v - 1)/23
Let u(a) be the first derivative of -34 + 0*a**2 + 0*a - 2/5*a**5 + 0*a**3 - 2*a**4. Factor u(h).
-2*h**3*(h + 4)
Suppose -c + 9*c = -696. Let n = c - -105. Factor -8 + n*u + 6*u**2 + 2 + 16 - 2*u**3.
-2*(u - 5)*(u + 1)**2
Factor 473*b**2 - 257*b**2 - 980 - 181*b**2 - 3420*b.
5*(b - 98)*(7*b + 2)
Let h = -171 - -199. Let u(v) = v**2 + 2. Let j(d) = 6*d**2 - 32*d - 242. Let g(t) = h*u(t) - 4*j(t). Factor g(y).
4*(y + 16)**2
Let t be (-12)/(-8)*(-6)/(-3). What is u in -2*u**2 + u**5 + 7*u**3 - 6*u**4 + 12*u**t - 22*u**3 + 14*u**3 - 12*u + 8 = 0?
-1, 1, 2
Let s be 1/((-1)/4)*(-1353)/22550. Let q(v) be the first derivative of -1/10*v**4 + s*v**5 - 16/45*v**3 + 4/15*v**2 + 0*v + 5. Factor q(r).
2*r*(r + 1)*(3*r - 2)**2/15
Let w(p) be the third derivative of p**7/1575 - p**6/450 - p**5/150 + 2*p**4/45 - 4*p**3/45 + p**2 - 464*p. Solve w(k) = 0 for k.
-2, 1, 2
Let x(v) be the first derivative of 7/2*v**6 - 27/2*v**4 + 8