q**2 - 96*q + 4. Let v(t) = 152*t**3 - 231*t**2 + 96*t - 2. Let b = -392 - -388. Let a(w) = b*v(w) - 5*s(w). Factor a(i).
3*(i - 1)*(7*i - 2)**2
Let c = 13513 - 19197. Let q be (c/315)/(-29) - (-2)/(-9). Factor -2/5*u + 0 + q*u**2.
2*u*(u - 1)/5
Suppose 19*z - 37 = -8 + 9. Factor -g + 3/7*g**z + 4/7.
(g - 1)*(3*g - 4)/7
Let r(u) = 1429*u + 11437. Let j be r(-8). Determine k, given that 1250*k**2 + 0 - 5/4*k**j + 75/2*k**4 + 0*k - 375*k**3 = 0.
0, 10
Let c be (-1)/(0/10 + (-2)/30). Factor 1034*h - c - 2093*h + 1041*h - 3*h**2.
-3*(h + 1)*(h + 5)
Let s(v) be the first derivative of -45*v**4/8 - 2755*v**3/2 - 375335*v**2/4 + 383645*v/2 + 9939. Factor s(b).
-5*(b - 1)*(3*b + 277)**2/2
Let l(h) = h**3 + h**2 - h. Let a(m) = 16*m**3 - 4*m**3 - 15*m**3 - 9*m**2. Let k(g) = -a(g) - 6*l(g). Factor k(r).
-3*r*(r - 2)*(r + 1)
Let a(v) be the second derivative of -v**4/6 + v**3/3 + 12*v**2 - 2734*v. Determine p, given that a(p) = 0.
-3, 4
Let w(r) = 2*r**2 + 30*r + 30. Let j be w(-14). Factor 217 - 5*k**4 + 5*k**j - 114 - 103.
-5*k**2*(k - 1)*(k + 1)
Let u(w) be the second derivative of 0*w**5 - 2 + 0*w**3 + 0*w**2 - 1/14*w**7 - 87*w - 1/10*w**6 + 0*w**4. Determine t so that u(t) = 0.
-1, 0
Let g = -12296/3 + 4191. Let j = -91 + g. Suppose 5/6*o**5 + 2/3 - 11/6*o**2 + 7/6*o**4 - 13/6*o**3 + j*o = 0. Calculate o.
-2, -1, -2/5, 1
Let m = 81946 - 573618/7. Factor 5/7*b**3 + 1/7*b**5 + 0*b + 0 - 2/7*b**2 - m*b**4.
b**2*(b - 2)*(b - 1)**2/7
Let r(m) be the first derivative of -m**4/2 + 38*m**3/3 - 90*m**2 + 144*m + 3149. Factor r(s).
-2*(s - 12)*(s - 6)*(s - 1)
Let u = 114056/1545 - 7/309. Let t = u - 72. Factor -t*b + 3/5 - 3/5*b**3 + 9/5*b**2.
-3*(b - 1)**3/5
Let f be 19 - 11 - (18 - 34)*2/(-4). Let j(z) be the first derivative of 0*z**3 + 3/5*z**5 - 36 + 0*z**2 + f*z - 3*z**4. What is n in j(n) = 0?
0, 4
Let g(b) be the third derivative of 0 + 0*b**3 + 0*b - 5/36*b**4 + 7/135*b**5 + 1/540*b**6 + 42*b**2. Determine r so that g(r) = 0.
-15, 0, 1
Let r(x) be the second derivative of -x**4/3 + 322*x**3/3 + 5*x - 26. Factor r(n).
-4*n*(n - 161)
Let n(a) = -9*a**3 - 329*a**2 + 688*a - 344. Let k(v) = 98*v**3 + 3620*v**2 - 7566*v + 3784. Let h(f) = -3*k(f) - 32*n(f). Factor h(z).
-2*(z - 1)**2*(3*z + 172)
Suppose -2*q = -43 + 39. What is x in 23*x**2 + 5 + 10*x - 6*x**q + 10*x + 3*x**2 = 0?
-1/2
Let d = -9758 - -9763. Let f(t) be the first derivative of 3/10*t**4 + 0*t - 2/25*t**d + 29 - 4/15*t**3 + 0*t**2. Suppose f(z) = 0. Calculate z.
0, 1, 2
Let w(r) = 3*r**2 - 3*r + 20. Let a(u) = -u**2 - u. Let b(n) = 3*n**2 + 5*n - 1. Let c(l) = 5*a(l) + b(l). Let z(j) = 6*c(j) + 3*w(j). Let z(g) = 0. What is g?
-6, 3
Factor -3217*c + 3127*c - 120 - 4*c**2 + 3*c**2 - 72 + 4*c**2.
3*(c - 32)*(c + 2)
Let w be -9 + -5 + 11 - (-835)/167. Factor -30/7*m + 0 - 3/7*m**w.
-3*m*(m + 10)/7
Suppose -669*x**2 - 279*x**2 - 136*x**2 - 179*x**2 - 133560*x + 1707*x**3 - 132300 - 1710*x**3 = 0. What is x?
-210, -1
Let p(z) be the third derivative of 1/12*z**5 + 4*z + 5/4*z**4 + 0 + 0*z**3 + 2*z**2. Factor p(v).
5*v*(v + 6)
Suppose 328 = 175*w - 22. Suppose -3*t + 4*t = 0. Determine q, given that -1/2*q**5 + t*q**w - 1/2*q + 0*q**4 + 0 + q**3 = 0.
-1, 0, 1
Let n(c) = 18*c**2 + 16*c**2 - 21*c + 24 - 39*c**2. Let i(a) = 6*a**2 + 21*a - 24. Let o(d) = 2*i(d) + 3*n(d). Factor o(z).
-3*(z - 1)*(z + 8)
Suppose 14*g - 15*g - n = -19, 3*g + 69*n = 717. Let -g*x - 4/3*x**2 + 7/3 = 0. Calculate x.
-7, 1/4
Let 4 - 4 + 5*v**5 + 80*v**4 + 455*v**3 - 380*v**3 = 0. What is v?
-15, -1, 0
Let i = -556 - -558. Suppose -8*x - 3*d = -4*x, i*x = d. What is v in 0*v**2 + x - 10/3*v**5 + 5/3*v**3 - 5/3*v**4 + 0*v = 0?
-1, 0, 1/2
Let v(f) = -23*f - 5. Let h(n) = 27*n + 6. Let z(x) = 6*h(x) + 7*v(x). Let r(d) = -2*d**2 + 14*d - 56. Let y(l) = -r(l) - 8*z(l). Factor y(u).
2*(u - 8)*(u - 3)
Let q(l) = -l**3 - 2*l**2 - 1. Let t(a) = 3*a**4 - 495*a**3 + 22113*a**2 - 119520*a + 172803. Let o(n) = 3*q(n) + t(n). Factor o(b).
3*(b - 80)**2*(b - 3)**2
Let j(q) = q**2 + 37*q + 33. Let l = 143 + -140. Let i(h) = 6*h**2 + 186*h + 166. Let o(m) = l*i(m) - 14*j(m). Solve o(z) = 0 for z.
-9, -1
Let o(d) be the third derivative of d**7/1365 + d**6/130 - 8*d**5/13 + 725*d**4/78 - 875*d**3/13 + 1954*d**2. Factor o(h).
2*(h - 5)**3*(h + 21)/13
Let v(z) be the third derivative of -z**6/480 + 1879*z**5/240 - 294533*z**4/32 + 293907*z**3/8 + 283*z**2. Solve v(m) = 0.
1, 939
Let d(q) = -79*q + 831. Let c be d(-21). Let t = c - 2488. Determine n so that 1/8*n - 11/4*n**3 - 3/2*n**t + 1/4 - 3/8*n**5 - 7/4*n**4 = 0.
-2, -1, 1/3
Let t(l) = -8*l**3 + 30*l**2 - 75*l - 5. Let a(s) = -s**3 - 1. Let k be (-4)/18 - 112/144. Let q(r) = k*t(r) + 5*a(r). Factor q(o).
3*o*(o - 5)**2
Let b(o) be the second derivative of 287*o + 1/60*o**6 - 1/24*o**4 + 0*o**2 + 0 + 1/6*o**3 - 1/20*o**5. Determine i so that b(i) = 0.
-1, 0, 1, 2
Let y(b) = -23*b**3 - 844*b**2 - 5787*b + 444. Let c(v) = 208*v**3 + 7574*v**2 + 52084*v - 3998. Let p(m) = -6*c(m) - 52*y(m). Determine z so that p(z) = 0.
-15, 1/13
Let d(v) = -34*v - 211. Let t be d(-10). Suppose -10*y = t - 149. Factor -3/2*q + 1/4*q**y + 9/4.
(q - 3)**2/4
Factor -88/3*v**2 + 320/3*v + 0 + 2/3*v**3.
2*v*(v - 40)*(v - 4)/3
Suppose 253 = 69*o - 23. Let g(p) be the second derivative of -8*p**3 - 1/5*p**5 + 0 - 2*p**o - 16*p**2 + p. Factor g(k).
-4*(k + 2)**3
Suppose 4*l = -5*h + 31, 5*l = -2*h - 12 + 21. Let n be (-6 - (-3)/2) + h. Determine y so that 2 - n*y + 1/2*y**2 = 0.
1, 4
Let x be 857/3 + 1/3*-2. Factor x*o**3 + 21*o**2 - 3*o**2 - 280*o**3 + 7*o**2.
5*o**2*(o + 5)
Let j(o) = 3*o**2 - 55*o - 2. Let k(u) = -8*u**2 + 3*u + 4. Let r(f) = -13*f**2 + 5*f + 7. Let v(t) = -5*k(t) + 3*r(t). Let s(g) = j(g) + 2*v(g). Factor s(z).
5*z*(z - 11)
Let g = 1210 + -1205. Let v(l) be the third derivative of 31*l**2 + 0*l + 4/3*l**3 + 0 + 1/3*l**4 - 1/60*l**6 - 1/30*l**g. Let v(k) = 0. What is k?
-2, -1, 2
Let p = 3/358 + 5003/1074. Let -4/9 + p*v**3 - 14/3*v + 4/9*v**2 = 0. Calculate v.
-1, -2/21, 1
Let m(o) be the third derivative of -o**6/240 - 13*o**5/24 - 31*o**4/6 - 61*o**3/3 - 870*o**2 + 1. Let m(c) = 0. Calculate c.
-61, -2
Let s(x) be the first derivative of x**4/10 - 18*x**3/5 + 96*x**2/5 + 512*x + 3284. Factor s(y).
2*(y - 16)**2*(y + 5)/5
Suppose -500 = -92*z - 152 + 296. Let c(y) be the second derivative of 0*y**2 + 1/10*y**6 - 1/4*y**4 - 1/2*y**3 + z*y + 3/20*y**5 + 0. Factor c(j).
3*j*(j - 1)*(j + 1)**2
Let m(q) = q**2 - 21*q + 9. Suppose -3*c + 6 = -3*g, -c + 1 = -4*g - 13. Let d(b) = -b**2 + b - 3. Let l(w) = c*m(w) - 6*d(w). Factor l(h).
4*h*(h + 9)
Let h = -547 - -1233. Let l be h/588 + (0/(-1) - 1). Solve -25/3 - l*g**3 - 15/2*g - 2*g**2 = 0 for g.
-5, -2
Let c(q) be the first derivative of -5*q**6/12 - 14*q**5/5 + 97*q**4/8 - 2*q**3/3 - 23*q**2 + 16*q - 3002. Find l, given that c(l) = 0.
-8, -1, 2/5, 1, 2
Let t(j) be the third derivative of j**7/21 + 11*j**6/24 - j**5 - 15*j**4/2 - 5*j**2 + 74*j - 1. Solve t(q) = 0.
-6, -3/2, 0, 2
Let q(g) be the third derivative of -6*g + 59/180*g**5 - 1/540*g**6 - 3*g**2 - 55/3*g**4 + 968/27*g**3 + 0. Factor q(i).
-(i - 44)**2*(2*i - 1)/9
Suppose 106/9*y**3 - 2*y + 8/9*y**4 - 20 + 260/9*y**2 = 0. Calculate y.
-10, -3, -1, 3/4
Factor 100*d - 399/4 - 1/4*d**2.
-(d - 399)*(d - 1)/4
Let g(j) = j**2 - 10*j + 22. Let v be g(10). Let c = -20 + v. Factor 3*y**3 - 6*y**3 + 13*y**5 + 28*y**3 - 8*y**5 - 10*y**c - 20*y**4.
5*y**2*(y - 2)*(y - 1)**2
Suppose 599*k - 1621 = -320*k + 217. Solve 4 + 33/2*c + k*c**2 = 0.
-8, -1/4
Let w(l) be the third derivative of 4*l**7/105 - 17*l**6/6 - 9*l**5 + 65*l**4/3 + 176*l**3/3 + 1017*l**2. Solve w(f) = 0 for f.
-2, -1/2, 1, 44
Suppose -228*j = -622*j + 407 + 381. Let d(u) = 6*u**2 - 4*u + 4. Let w be d(2). Factor -w*i + 8*i**j + 25/2.
(4*i - 5)**2/2
Factor -1594*i + 1595*i - i**4 - i**3 + 2*i**2 - i**2 - 2*i**3 + 2*i**3.
-i*(i - 1)*(i + 1)**2
Let n(v) be the second derivative of -v**5/120 + 461*v**4/72 - 17633*v**3/12 - 17787*v**2/4 + 789*v. Suppose n(y) = 0. Calculate y.
-1, 231
Let m(y) be the first derivative of y**6/255 - y**5/85 + y**4/102 + 52*y - 34. Let x(s) be the first derivative of m(s). Find o such that x(o) = 0.
0, 1
Determine b, given that 6*b**2 + 495/2*b + 123/2 = 0.
-41, -1/4
Let s(t) be the third derivative of 2*t**7/