t**5/330 - 32942*t**4/33 + 132496*t**3/33 + 858*t**2. Factor m(q).
-2*(q - 1)*(q + 364)**2/11
Let u(m) = 59*m**2 + 340*m - 369. Let j(r) = 18*r**2 + 114*r - 123. Let v(n) = -10*j(n) + 3*u(n). Suppose v(x) = 0. What is x?
-41, 1
Let n(s) be the third derivative of s**5/120 - 287*s**4/16 + 859*s**3/6 - 11378*s**2. Factor n(t).
(t - 859)*(t - 2)/2
Let o(u) be the first derivative of -u**6/2 - 21*u**5/5 + 99*u**4/2 + 40*u**3 - 624*u**2 - 1152*u + 2122. Find d, given that o(d) = 0.
-12, -2, -1, 4
Suppose 2*a - 1081 = 3*q - 269, -409 = -a + 3*q. Suppose 9*c + a = 22*c. Suppose -35 + c + 4*i**2 - 12*i**2 - 18*i = 0. Calculate i.
-2, -1/4
Let n(g) be the second derivative of g**7/210 + 61*g**6/150 + 763*g**5/100 - 1727*g**4/20 + 726*g**3/5 + 7770*g. Solve n(u) = 0.
-33, 0, 1, 4
Let z(q) be the third derivative of q**5/150 + 52*q**4/5 + 32448*q**3/5 + 849*q**2. Factor z(i).
2*(i + 312)**2/5
Let n(x) be the first derivative of x**6/360 + x**5/2 + 75*x**4/2 - 2*x**3/3 - 14*x + 18. Let p(o) be the third derivative of n(o). Find i, given that p(i) = 0.
-30
Let t(h) be the third derivative of -h**5/90 - 70*h**4/3 + 841*h**3/9 - 7*h**2 - 2*h - 1. Let t(a) = 0. Calculate a.
-841, 1
Let k = -231 - -256. Suppose 5*w**3 + 11*w**4 - 13*w - 17*w - 16*w**4 + 55*w**2 - k*w**3 = 0. Calculate w.
-6, 0, 1
Let z(p) = -p**3 + 10*p**2 + p + 3. Suppose 4*m + 2*q - 40 = 0, 2*m - 4*q - 20 = -0*m. Let v be z(m). Factor -8*n**2 - 12*n + v*n - 24 + 0 + 51*n.
-4*(n - 6)*(2*n - 1)
Let r = 748 - 749. Let t be 363/(-77) - -5 - r/21. Suppose 0 + t*y - 1/3*y**2 = 0. Calculate y.
0, 1
Let f = 3378 - 3376. Let s(m) be the first derivative of -4/21*m**3 + 2/35*m**5 - 17 + 1/21*m**6 - 1/7*m**4 + 2/7*m + 1/7*m**f. Factor s(n).
2*(n - 1)**2*(n + 1)**3/7
Let f(z) be the third derivative of z**7/525 - z**6/150 + 609*z**2 + 1. What is u in f(u) = 0?
0, 2
Let p(m) be the third derivative of m**6/80 + 3*m**5/20 - 13*m**4/16 - 21*m**3/2 - 609*m**2 - 2. Factor p(a).
3*(a - 3)*(a + 2)*(a + 7)/2
Let s(y) be the second derivative of 5*y**4/36 - 185*y**3/18 + 30*y**2 + 32*y - 12. Find a such that s(a) = 0.
1, 36
Let f(c) = -c**3 - 13*c**2 - 36*c - 30. Let u(h) = 134*h + 122 + 9*h + 51*h**2 + 7*h**3 + 4*h**3 - 7*h**3. Let i(x) = 22*f(x) + 6*u(x). Factor i(r).
2*(r + 3)**2*(r + 4)
Let r = 76567/6 + -306265/24. Let -r*h**2 - 25/8 - 5/4*h = 0. What is h?
-5
Let j be (1 + -1)/10 - -2. Let w be 3/(-84)*(2 - 10). Factor 2*c - 2/7*c**2 + 0 + w*c**4 - j*c**3.
2*c*(c - 7)*(c - 1)*(c + 1)/7
Let i(g) be the first derivative of 1/30*g**4 + 0*g + 9*g**2 + 1/150*g**5 - 6 + 0*g**3. Let n(t) be the second derivative of i(t). Let n(x) = 0. What is x?
-2, 0
Solve 11/4*y**2 + 13/4*y**3 + 5/4*y**4 + 3/4*y + 0 = 0.
-1, -3/5, 0
Let a = 136 - 4. Let x = 134 - a. Factor -x - 1/2*r**2 + 5/2*r.
-(r - 4)*(r - 1)/2
Let m be (0/(-6 + 5 - 0))/1. Let r(f) be the second derivative of 0 - 44*f - 1/70*f**5 - 1/84*f**4 + m*f**3 + 0*f**2 - 1/210*f**6. Solve r(v) = 0.
-1, 0
Let h(y) = -720*y + 5760. Let s be h(8). Let w = 1/2 + -1/4. Find p, given that -w + 1/4*p**2 + s*p = 0.
-1, 1
Let m(j) = -j**2 + j + 16. Let f be m(4). Let g be (-5)/2 + f + 9/(-9). Factor -7*b + 49/2 + g*b**2.
(b - 7)**2/2
Factor -190 - h + 390 - 21*h**2 - 190.
-(3*h - 2)*(7*h + 5)
Let s = -531 + 607. Let n = 79 - s. Let 225/4*p**2 + 45/4*p**n + 375/4*p + 0 + 3/4*p**4 = 0. What is p?
-5, 0
Suppose 51/2*j**4 - 118*j**2 - 133*j**3 - 12*j + 0 = 0. What is j?
-2/3, -2/17, 0, 6
Let s(z) be the second derivative of 7*z**4/48 - 7733*z**3/24 - 1105*z**2/4 + 9132*z. Factor s(p).
(p - 1105)*(7*p + 2)/4
Let l be (-10506)/(-153)*(1 + -10). Let s = 620 + l. Factor -1/2*x - 1/2 - 1/2*x**4 - 1/2*x**5 + x**s + x**3.
-(x - 1)**2*(x + 1)**3/2
Let z be (24794/(-33))/(-49) + 5*-3. Factor -2/3*s + 0 - z*s**2.
-s*(s + 2)/3
Factor -3/5*b**2 + 45 - 222/5*b.
-3*(b - 1)*(b + 75)/5
Suppose -a + 5 - 9 = -2*b, 4*b + a - 14 = 0. Solve -18164 - 2*n + 5*n**4 + 18164 + 13*n**2 - 16*n**b = 0.
0, 1/5, 1, 2
Solve 2/17*d**2 - 66 - 1120/17*d = 0 for d.
-1, 561
Let u be (-4)/(-6) - 2024/4818. Let s = u + 1114/219. Suppose -2/3 - 1/3*v**5 - 14/3*v**3 - s*v**2 - 3*v - 2*v**4 = 0. What is v?
-2, -1
Let p(g) = -g**2 + 4*g + 14. Let u be p(-2). Let 1386*a**2 + a**5 - 974*a**u + 321*a + 18*a**4 + 320 + 125*a**3 + 303*a = 0. Calculate a.
-5, -4, -1
Suppose -5*s - 4*y = -8, -2 = s + 4*y + 6. Suppose -3*l = 4*o + 7, s*l = 4*o - l - 33. Suppose -5*m - 2 + 2 - 689*m**2 + 684*m**o = 0. What is m?
-1, 0
Suppose 0 = -8*i - 18 + 18. Suppose -9*o - q + 16 = -6*o, i = 3*o - q - 20. Factor -x - 6 + 8 - 5*x - o - 2*x**2.
-2*(x + 1)*(x + 2)
Let p(j) be the first derivative of -7*j**6/3 - 32*j**5/5 + 31*j**4/2 + 104*j**3/3 + 12*j**2 - 1405. Solve p(q) = 0 for q.
-3, -1, -2/7, 0, 2
Factor 41*q + q**4 - 22*q**3 + 468 + 44734*q**2 + 19*q - 44841*q**2.
(q - 26)*(q - 2)*(q + 3)**2
Let u = -5921/7 + 846. Let i = -277/21 + 40/3. Solve -i - 2/7*s - u*s**2 = 0.
-1
Let b(z) be the second derivative of z**5/230 - 10*z**4/69 - 43*z**3/69 - 22*z**2/23 - 12*z - 14. Determine v so that b(v) = 0.
-1, 22
Let f(u) be the first derivative of -5*u**4/4 - 20*u**3 - 105*u**2/2 - 50*u - 1066. Solve f(k) = 0.
-10, -1
Let s(z) be the first derivative of 0*z**3 + 0*z**4 - 1/2*z**6 + 42/5*z**5 + 172 + 0*z + 0*z**2. Let s(j) = 0. What is j?
0, 14
Let p(t) = 19*t - 125. Let z be p(20). Suppose -z*v + 241*v = 0. Factor v + 3*k + 9/2*k**3 + 15/2*k**2.
3*k*(k + 1)*(3*k + 2)/2
Let t(w) be the first derivative of -8*w**3/3 - 309*w**2 - 154*w + 1219. Factor t(b).
-2*(b + 77)*(4*b + 1)
Factor 2/7*l**4 + 0 - 304/7*l**2 - 10*l**3 - 312/7*l.
2*l*(l - 39)*(l + 2)**2/7
Let n = -11207 + 11207. Let a(x) be the third derivative of n*x**6 + 7*x**2 - 1/90*x**5 + 0 + 0*x**4 + 1/630*x**7 + 1/18*x**3 + 0*x. Factor a(j).
(j - 1)**2*(j + 1)**2/3
Let z(b) = 2*b**2 + 18*b - 4. Let t(o) = -25*o**2 - 197*o + 38. Let d(l) = -2*t(l) - 23*z(l). Find g, given that d(g) = 0.
1, 4
Factor -1163*c**4 - 43*c**2 - 29*c**2 - 4*c**5 + 1131*c**4 - 84*c**3.
-4*c**2*(c + 2)*(c + 3)**2
Let -1024/3 - 46/3*s**3 + 2/3*s**4 + 112*s**2 - 640/3*s = 0. What is s?
-1, 8
Let p(d) be the third derivative of -5*d**4/24 - 15*d**3/2 - 16*d**2. Let b be p(-10). Suppose -3*o**3 + 7*o**3 - 9*o**5 + b*o**5 = 0. What is o?
-1, 0, 1
Let y(c) = -c**4 + c**3 - c**2 + c + 1. Let s(i) = -2*i**4 - 64*i**3 + 200*i**2 - 202*i + 69. Let q(f) = s(f) - y(f). Factor q(m).
-(m - 1)**3*(m + 68)
Let u = -378 - -460. Factor -15*c**3 - 1395*c + 216*c**2 + 810 + 146*c**2 - u*c**2.
-5*(c - 9)**2*(3*c - 2)
Let q be 4/(-6) + 13/6. Let v = 26644 + -106555/4. Find m, given that -6*m**2 + 3/4*m**5 - 3/2*m**3 - v*m - q + 3/2*m**4 = 0.
-1, 2
Let u(m) be the first derivative of -5*m**3/3 + 260*m**2 - 1020*m + 880. Let u(c) = 0. Calculate c.
2, 102
Suppose -83*d = -41*d - 36*d - 18. Let z = -69 - -209/3. Determine f, given that -7/3*f**2 - 5/3 + z*f**d - 14/3*f = 0.
-1, -1/2, 5
Let h be 22/462*6*(1 + 0 + 0). Factor -6*w - 44/7*w**2 - h*w**3 + 0.
-2*w*(w + 1)*(w + 21)/7
Determine a, given that -255/2 + 3/4*a**2 - 21/4*a = 0.
-10, 17
Let l(h) = h**3 + 6*h**2 - h - 6. Let r be l(-6). Let q be -13 + 148/12 + (680/(-357))/(-2). Factor -q*b - 6/7*b**3 + r + 6/7*b**2 + 2/7*b**4.
2*b*(b - 1)**3/7
Let f = -3/3400 - -71/3400. Let j(b) be the second derivative of 0*b**4 + 0*b**5 + 0*b**3 + 0 - 1/70*b**7 + f*b**6 + 28*b + 0*b**2. Factor j(x).
-3*x**4*(x - 1)/5
Solve -27/8*k**2 - 1/8*k**3 - 159/8*k + 187/8 = 0.
-17, -11, 1
Let w(j) be the third derivative of 13/9*j**3 - 1/3*j**4 - 1/90*j**5 - 52*j**2 + 0 + 0*j. Factor w(d).
-2*(d - 1)*(d + 13)/3
Let j(t) be the first derivative of -11*t**4/84 - t**3/42 + 6*t**2/7 - 12*t - 92. Let k(h) be the first derivative of j(h). Factor k(v).
-(v - 1)*(11*v + 12)/7
Let y(v) = -v**2 - 21*v + 25. Let n be y(-22). Factor 35*i + 2 + 80*i**3 + 5*i**4 + 45*i**2 - 55*i**n + 8.
5*(i + 1)**3*(i + 2)
Factor -558/5*c + 476/5 + 84/5*c**2 - 2/5*c**3.
-2*(c - 34)*(c - 7)*(c - 1)/5
Let j = 222353 + -222353. Factor j - 2/7*w**2 + 34/7*w.
-2*w*(w - 17)/7
Let d(m) be the first derivative of 63*m**5/5 + 129*m**4/2 + 92*m**3 + 12*m**2 + 2057. Factor d(x).
3*x*(x + 2)**2*(21*x + 2)
Let v be (-12)/5*((-780)/24)/13. Let x(a) = -a**3 - 10*a**2 + 12. Let u(q) = q**3 + 10*q**2 - 10. Let b(n) = v*u(n) + 5*x(n). Factor b(m).
m**2*(m + 10