+ 14/9*q**3 + 16/3 - 94/9*q**2.
2*(q - 4)*(q - 3)*(7*q + 2)/9
Factor -6100428 - 4/3*j**2 + 5704*j.
-4*(j - 2139)**2/3
Factor 30*i**3 + 75*i**3 - 53*i**5 + 57*i**3 - 5811652*i**4 + 5811133*i**4 - 115*i**5.
-3*i**3*(7*i - 2)*(8*i + 27)
Let z(c) = -c**3 + 4*c**2 - 2*c + 33. Let a be z(0). What is w in a*w**4 + 41*w**4 - 76*w**4 - 5*w**3 + 3*w**2 + 0*w**2 = 0?
-3, 0, 1/2
Let p(s) be the third derivative of -s**7/1365 + s**6/65 + 9*s**5/130 + 7*s**4/78 + 7394*s**2. Factor p(t).
-2*t*(t - 14)*(t + 1)**2/13
Suppose -5/4*n**2 + 85/4*n - 65 = 0. Calculate n.
4, 13
Let h(r) = 2*r**2 - 228*r - 4158. Let s be h(-16). Factor -10/3 - 5/3*y**s + 5*y.
-5*(y - 2)*(y - 1)/3
Let w = -29950 - -29952. Let j(m) be the third derivative of -1/72*m**4 + 0*m**3 + 1/120*m**5 - 1/720*m**6 + 0*m - 24*m**w + 0. Factor j(s).
-s*(s - 2)*(s - 1)/6
Let u(s) = 6*s**3 - 186*s**2 + 537*s - 11. Let x(o) = o**3 - 37*o**2 + 108*o - 2. Let t(n) = 2*u(n) - 11*x(n). Factor t(l).
l*(l - 3)*(l + 38)
Let t(u) be the second derivative of -23*u**7/1260 + 7*u**6/120 + u**5/30 - 125*u**4/12 + 81*u. Let p(m) be the third derivative of t(m). Solve p(r) = 0.
-2/23, 1
Suppose -10*m = -168 - 2. Suppose -w + 9*u - 4*u - 1 = 0, -3*w - 5*u = -m. Factor 23*s**4 + 2*s**5 + 15*s**w - 32*s**4.
2*s**4*(s + 3)
Suppose 2*j + 5*x + 104 = 0, 0 = 5*x - x + 16. Let r = j + 54. Factor 5*h**2 + 8*h - h**2 + 0*h**2 + 0*h**3 - r*h**3.
-4*h*(h - 1)*(3*h + 2)
Let q(l) = 9*l**3 + 1372*l**2 + 93849*l - 4. Let c(r) = 56*r**3 + 8233*r**2 + 563096*r - 26. Let u(k) = 2*c(k) - 13*q(k). Factor u(o).
-5*o*(o + 137)**2
Let k be 4*(12 - (3 + -1)) - 2. Let m = -36 + k. Suppose -g**3 + 13*g**2 + 10*g + 0*g**m + 2*g**2 + 6*g**3 = 0. Calculate g.
-2, -1, 0
Factor -2/11*q**2 + 0 - 1376/11*q.
-2*q*(q + 688)/11
Let n(b) = 155*b - 1219. Let x be n(8). Let u be (-126)/(-135) + -1 + x/15. Find m, given that -u*m - 1/3*m**4 + 4/3 + 4/3*m**3 - m**2 = 0.
-1, 1, 2
Find h, given that 0 - 3/4*h**2 + h**3 - 1/4*h**4 + 0*h = 0.
0, 1, 3
Let v(d) be the first derivative of 0*d + 19/2*d**2 + 20/3*d**3 + 1/4*d**4 + 201. Factor v(b).
b*(b + 1)*(b + 19)
Suppose 31/4*r - 1/4*r**2 + 45 = 0. What is r?
-5, 36
Suppose -48 = a - 44. Let d be (4365/351 - 11)*(-27)/a. Factor -30/13*i**2 - 98/13 + d*i + 2/13*i**3.
2*(i - 7)**2*(i - 1)/13
Let z(t) = -6*t + 2. Let d be z(-5). Factor 24*q**2 - d + 3*q**4 + 0*q**3 - 16*q + 4*q**3 - 7*q**4.
-4*(q - 2)**2*(q + 1)*(q + 2)
Let k = -488 - -614. Let a be -3*12/(-8)*7/k. Determine b, given that a*b**4 - b + 0 - 5/4*b**3 + 2*b**2 = 0.
0, 1, 2
Let k(s) = -3*s**2 + 25*s + 55. Let o(r) = 5*r**2 - 38*r - 83. Let i = -81 - -89. Let j(x) = i*k(x) + 5*o(x). Let j(w) = 0. Calculate w.
-5
Let r(z) be the third derivative of 65*z**2 - 2/3*z**3 - 1/24*z**4 + 0 + 0*z + 1/120*z**5. Factor r(i).
(i - 4)*(i + 2)/2
Solve 20*z + 265*z**3 + 1012*z - 204 + 516*z**2 + 597*z**2 + 14254*z**4 - 14272*z**4 - 28*z**3 = 0 for z.
-2, 1/6, 17
Let f(i) be the first derivative of -5*i**3/9 + 95*i**2/3 + 1720. Factor f(n).
-5*n*(n - 38)/3
Let q(d) be the first derivative of d**6/1080 - d**5/9 + 50*d**4/9 + 7*d**3 - 6*d + 173. Let t(p) be the third derivative of q(p). Factor t(g).
(g - 20)**2/3
Let g be (-2 + (5/5 - -1))*((-184)/20 - -9). Let g*l - 1/3*l**3 - 1/3*l**5 - 2*l**2 + 0 + 4/3*l**4 = 0. Calculate l.
-1, 0, 2, 3
Let f = -1096 + 1089. Let q be 7 + f + (-6)/(-7). Factor q + 4/7*t - 2/7*t**2.
-2*(t - 3)*(t + 1)/7
Find c, given that 3*c**2 - 865/2 + 859/2*c = 0.
-865/6, 1
Solve -11*x + 5/4*x**4 - 21/2*x**2 + 3/4*x**3 + 6 = 0 for x.
-2, 2/5, 3
Factor -3813248/9 - 248/3*d**2 - 30752/3*d - 2/9*d**3.
-2*(d + 124)**3/9
Let s(r) be the second derivative of 3*r**5/20 + 275*r**4/6 + 243*r**3/2 + 91*r**2 - 3368*r. Find h such that s(h) = 0.
-182, -1, -1/3
Let y be 6/(((-594)/(-45))/11). Let 6*f + 9*f**2 + 234*f**4 - 4*f**5 - 3*f**3 + 226*f**4 + f**y - 469*f**4 = 0. What is f?
-2, -1, 0, 1
Let m(z) = 48*z - 12. Let b be m(1). Determine r so that -87*r**2 + 18*r - b - 30*r**3 - 96*r - 18*r - 3*r**4 = 0.
-6, -2, -1
Let b(c) be the second derivative of c**6/330 - c**5/55 + c**4/44 + c - 979. Suppose b(n) = 0. What is n?
0, 1, 3
Let -169/2 - 1/6*t**2 + 254/3*t = 0. Calculate t.
1, 507
Let -343*l - 2333 - 223*l + 137 - 3*l**2 - 175*l = 0. What is l?
-244, -3
Let m(o) = -o**2 - 16*o + 19. Let v be m(-11). Factor 9*a**2 - 2*a**3 + 57*a**2 + 2*a**4 + 28 - v*a - 20*a**3.
2*(a - 7)*(a - 2)*(a - 1)**2
Let h(t) be the first derivative of t**4/2 + 1684*t**3/45 + 11872*t**2/15 + 3136*t/15 + 1044. Solve h(c) = 0 for c.
-28, -2/15
Let g(m) = 2*m**3 - 10*m**2 + m - 3. Let v be g(5). Suppose -10*z + 8 + 32*z**2 + 20*z**v - 50*z**2 = 0. What is z?
1, 4
Let l(s) = s**2 - 5*s + 4. Let u be 1/(-1*(-3)/(-15)). Let j(w) = w**2 - 4*w + 3. Let z(p) = u*l(p) + 4*j(p). Factor z(v).
-(v - 8)*(v - 1)
Let g be (-3)/(-765)*42/7*1. Let n = 176/255 - g. Find u, given that 8/3*u + n*u**2 - 10/3 = 0.
-5, 1
Let c(g) = -8*g - 18*g - 12*g + 187 - 730 - g. Let h be c(-14). Suppose 6/23*s**2 - 8/23*s - 6/23*s**4 + 10/23*s**h - 2/23*s**5 + 0 = 0. Calculate s.
-4, -1, 0, 1
Let o(t) be the first derivative of t**4 + 11008*t**3 + 45441024*t**2 + 83369132032*t + 5724. Factor o(m).
4*(m + 2752)**3
Let h(v) = -2779*v - 27790. Let u be h(-10). What is a in 9/4*a**3 - 3/4*a**4 + u + 3/4*a - 9/4*a**2 = 0?
0, 1
Let p(s) be the second derivative of 504*s**3 - 27*s - 27/5*s**5 + 673/6*s**4 + 1/15*s**6 + 0 + 784*s**2. Factor p(r).
2*(r - 28)**2*(r + 1)**2
Let c = -5757 - -5789. Let s(a) be the third derivative of 2/45*a**5 + 0*a + 11/36*a**4 + 0 - 1/3*a**3 - c*a**2. Factor s(t).
2*(t + 3)*(4*t - 1)/3
Let z(a) = 19*a**2 - 3*a + 29. Let i be z(5). Let k = 492 - i. Factor -1/9*r - 4/9*r**4 + 1/9*r**k + 0 + 4/9*r**2.
-r*(r - 1)*(r + 1)*(4*r - 1)/9
Let n(f) = 37*f**2 - 12*f - 34. Let t(b) = 6*b**2 - 2*b - 6. Let w(d) = -6*n(d) + 34*t(d). Let r(y) = -18*y**2 + 2*y. Let q(c) = 6*r(c) - 4*w(c). Factor q(l).
-4*l*(9*l + 1)
Factor -85/3*r - 70/3 + 20*r**2.
5*(r - 2)*(12*r + 7)/3
Let l(s) = 5*s**4 - 523*s**3 + 518*s**2 + 2*s. Let f(j) = -10*j**4 + 1045*j**3 - 1035*j**2 - 5*j. Let z(c) = 2*f(c) + 5*l(c). Let z(d) = 0. What is d?
0, 1, 104
Let t(x) be the second derivative of -x**4/4 + 135*x**3/2 - 201*x**2 + 1251*x + 2. Factor t(i).
-3*(i - 134)*(i - 1)
Determine l, given that 61/3*l - 5/3*l**2 - 1/3*l**3 - 55/3 = 0.
-11, 1, 5
Factor 189*c + 3/8*c**3 + 366 + 207/8*c**2.
3*(c + 4)**2*(c + 61)/8
Let a(i) be the first derivative of -5/9*i**3 - 1/6*i**4 + 8/3*i - 115 + 7/3*i**2. Factor a(k).
-(k - 2)*(k + 4)*(2*k + 1)/3
Factor 1174*s + 1/2*s**2 + 689138.
(s + 1174)**2/2
Factor -23*i - 14*i + 14*i**3 - 21*i**2 - 12*i - 8*i**3 - 5*i**3 + 69.
(i - 23)*(i - 1)*(i + 3)
Let b = -2/9201 + 88945/9201. Factor 10/3*s**3 - 2/3 + b*s**2 + 17/3*s.
(s + 1)*(s + 2)*(10*s - 1)/3
Let f(b) be the first derivative of b**6/300 - b**5/150 - b**4/15 + 4*b**3/15 - 18*b**2 - 2*b + 49. Let y(w) be the second derivative of f(w). Factor y(g).
2*(g - 2)*(g - 1)*(g + 2)/5
Let s(g) be the second derivative of 0 - 87*g - 1/8*g**4 + 1/24*g**5 - 1/180*g**6 - 1/6*g**2 + 7/36*g**3. Factor s(p).
-(p - 2)*(p - 1)**3/6
Let y(v) = -v**4 + v - 1. Let u(h) = 97 - 180 + 97 + 82*h**4 + 2*h**3 - 14*h. Let k(f) = 2*u(f) + 28*y(f). Solve k(m) = 0 for m.
-1/34, 0
Let s be (-49)/49*4/(-1). Factor -4*q**2 - 14*q - 30*q + s*q**2 - 6*q**2 + 5*q**2.
-q*(q + 44)
Let l(q) be the first derivative of -160*q**2 - 122 - 600*q - 1/2*q**4 - 46/3*q**3. Factor l(i).
-2*(i + 3)*(i + 10)**2
Let x(z) be the second derivative of -z**4/12 - 113*z**3 - 114921*z**2/2 + z + 127. Let x(i) = 0. What is i?
-339
Factor 1/4*v**4 + 0 + 5/4*v**3 + 0*v + 0*v**2.
v**3*(v + 5)/4
Let n(w) be the first derivative of 2*w**3/39 + 33*w**2/13 + 64*w/13 + 1300. Factor n(o).
2*(o + 1)*(o + 32)/13
Factor 484/5 - 1/10*p**2 - 77/10*p.
-(p - 11)*(p + 88)/10
Let j = -81 - -85. Let o(d) be the first derivative of 0*d + 12*d**3 - 11 + 2*d**2 + 7*d**5 + 85*d**j - 3*d**5 - 98*d**4 - 8*d. Factor o(b).
4*(b - 1)**3*(5*b + 2)
Let v(n) = 9*n**3 - 22*n**2 + 108*n + 2. Let s(u) = -85*u**3 + 197*u**2 - 972*u - 19. Let m(z) = 2*s(z) + 19*v(z). Factor m(w).
w*(w - 18)*(w - 6)
Suppose h - w + 2 + 6 = 0, 2*w + 2 = -4*h. Let d(y) = y**4 - y**3 + 1. Let v(a) = a**4 + 7*a**3 - 8*a**2 - 3. Let u(i) = h*d(i) - v(i). Factor u(j).
-4*