0*l + 103*l, 65 = 5*l. Factor -1/2*q**2 - h + 11/2*q.
-(q - 10)*(q - 1)/2
Let x(j) be the first derivative of 0*j**2 + 6 + 0*j**3 - 21/5*j**5 + 9/4*j**4 + 0*j. Let x(f) = 0. What is f?
0, 3/7
Let t be (3848/960 - 1) + -6 + -1 + 4. Let d(j) be the third derivative of -1/24*j**4 + 0*j + t*j**5 + 0*j**3 + 0 - 14*j**2 + 1/240*j**6. What is y in d(y) = 0?
-2, 0, 1
Suppose 45*w - 43*w + 50 = 5*g, -15*w - 30 = -3*g. Solve w - 16/5*x - 12/5*x**4 + 56/5*x**3 - 28/5*x**2 = 0 for x.
-1/3, 0, 1, 4
Let y(p) = 2*p + 8. Let d be y(-3). Suppose d = 2*q - h - 14, 4*q - 26 = 5*h. Factor 7*c**3 + 5*c**5 + 4*c**2 + 2*c**3 - c**2 + q*c**4 - 2*c**5.
3*c**2*(c + 1)**3
Let d be (18 + (-1561)/84)*-3 + (-3)/(-12). What is i in -8*i**3 + 0 + 20/3*i**d + 0*i - 1/3*i**5 + 3*i**4 = 0?
0, 2, 5
Suppose p + 4 = -0*p. Let z be 15/20 + ((-9)/p - 1). Factor 12*v + v**z + 0*v**2 - 3*v**2 - 5 - 13.
-2*(v - 3)**2
Let k be (56/(-49))/1*(-1820)/156. Factor 25/3*r**2 - 30*r - k.
5*(r - 4)*(5*r + 2)/3
Let v(m) be the first derivative of m**6/42 - 57*m**4/28 + 92*m**3/21 + 18*m**2 - 288*m/7 + 4436. What is o in v(o) = 0?
-8, -2, 1, 3, 6
Let n(z) be the third derivative of z**5/160 - 43*z**4/16 + 1849*z**3/4 - 245*z**2 + 4. Factor n(g).
3*(g - 86)**2/8
Let r(t) = -8*t - 8. Let v(z) be the second derivative of z**4/12 + 3*z**3/2 + 4*z**2 - 5*z - 2. Let c(m) = -6*r(m) - 4*v(m). Factor c(o).
-4*(o - 4)*(o + 1)
Suppose 13 = 3*m - u, -128*u + 4 = -5*m - 130*u. Find z, given that -22/3*z - 1/3*z**m - 121/3 = 0.
-11
Let l(s) be the first derivative of -2*s**3/3 + 11*s**2 + 819. Find y such that l(y) = 0.
0, 11
Suppose 4911*i - 1137*i - 2247 = 5301. Let 12/5*a**3 - 8/5 + 24/5*a - 2/5*a**4 - 26/5*a**i = 0. What is a?
1, 2
Let k(n) be the first derivative of -194 + 15*n**5 + 81*n**3 + 495/4*n**4 + 18*n - 159/2*n**2. Solve k(t) = 0.
-6, -1, 1/5
Let x(h) = h**2 - 838*h + 174720. Let o(g) = -6*g**2 + 5029*g - 1048318. Let s(c) = 6*o(c) + 39*x(c). Suppose s(r) = 0. Calculate r.
418
Let d be (-1 - -3) + (-12 - (-106 - -8)). Suppose -24*j = -2*j - d. What is v in 2/3 - 8/3*v**3 - 8/3*v + 2/3*v**j + 4*v**2 = 0?
1
Suppose 0 = -6*l + 7 - 7. Suppose -3*o - 2*o + 85 = l. Suppose -177*k**3 + 3*k**4 - 5*k + o*k + 168*k**3 = 0. Calculate k.
-1, 0, 2
Let u(v) be the third derivative of -v**5/360 - 445*v**4/72 - 889*v**3/36 - 37*v**2 + 2*v. Suppose u(y) = 0. What is y?
-889, -1
Let g(o) be the third derivative of o**8/2352 + 8*o**7/735 - 3*o**6/40 - 9*o**5/10 + 153*o**4/14 - 324*o**3/7 - 12516*o**2. Determine w, given that g(w) = 0.
-18, -6, 2, 3
Let m = 7 + -4. Let l(s) = 39*s + 1915. Let h be l(-49). Determine d, given that -839 - 2*d**h + 52*d**2 + 903 + m*d**4 + 96*d + 12*d**3 = 0.
-4, -2
Let a be (208/(-390))/((-10)/15). Let 0 - 16/5*u**2 + a*u**3 + 0*u = 0. What is u?
0, 4
Let f be 1125/(-25)*-22*(-4)/(-200). Let o(g) = -g**2 - 4*g + 14. Let u be o(-6). Factor -27/5*d**4 + 18*d**3 - 138/5*d**u - 27/5 + 3/5*d**5 + f*d.
3*(d - 3)**2*(d - 1)**3/5
Solve -2*n**3 + 5*n**3 - 12127 + 12127 - 2*n**3 + 2*n**2 = 0.
-2, 0
Suppose 5*t + n + 45 = 4*n, n = t + 11. Let g be (-11 - -12)/(4/t + 1). Let 3*u**3 - u**3 + 3*u**3 + 64 + 96*u - u**g + 36*u**2 = 0. What is u?
-4, -1
Let r(w) = -w**3 - 1187*w**2 - 38008*w + 39060. Let k(s) = s**3 + 791*s**2 + 25339*s - 26046. Let q(h) = -8*k(h) - 5*r(h). Find i such that q(i) = 0.
-66, 1
Let x(n) be the third derivative of n**5/30 - n**4 + 11*n**3/3 - 2275*n**2. Factor x(b).
2*(b - 11)*(b - 1)
Let i(m) be the third derivative of 16*m**7/105 + 187*m**6/30 + 1213*m**5/15 + 1397*m**4/6 + 242*m**3 - 2*m**2 + 427. Determine x so that i(x) = 0.
-11, -1, -3/8
Let d(i) = -i**3 + 2*i**2 - i + 6. Let a be d(0). Suppose 15 = a*x - x. Find s such that -32*s**3 - 2*s + 20*s**3 - 2*s**2 + 10*s**x + 6*s**2 = 0.
0, 1
Let y(l) be the third derivative of 0 - 1/72*l**4 + 1/4320*l**6 + l**3 + 7*l**2 + 0*l + 1/480*l**5. Let s(a) be the first derivative of y(a). Factor s(o).
(o - 1)*(o + 4)/12
Let l = -135937/15 - -9063. Find v, given that -2/5*v**2 - 28/15*v + 2/15*v**4 - 16/15 + l*v**3 = 0.
-4, -1, 2
Let n(m) be the third derivative of -m**7/420 - m**6/90 + 7*m**5/60 - m**4/3 - 2*m**3 - 39*m**2. Let h(j) be the first derivative of n(j). Factor h(l).
-2*(l - 1)**2*(l + 4)
Suppose -63*y + 60*y + 276 = 0. Suppose -3*t - y = -101. Factor -3*j**t + 41*j - 39*j + 6*j**3 + 4*j**4 - 9*j**2.
j*(j - 1)*(j + 2)*(4*j - 1)
Suppose -2*j - 4 = -5*w + 28, 5*j + 49 = -3*w. Solve 8/7 - 16/7*u - 6/7*u**3 - 22/7*u**w = 0.
-2, 1/3
Suppose -2*i - r = -0*i - 490, 4*r = 5*i - 1225. Determine c, given that -53 + 69 + 0*c**3 + i*c - 55*c**2 - 136 - 75*c**2 + 5*c**3 = 0.
1, 24
Suppose 909 + 294 = 3*x. Suppose 401 = -o + x. Factor -6/7*k + o - 3/7*k**2.
-3*k*(k + 2)/7
Let d = -841 + 793. Let f be (-4)/d*(10 + -4 + 2). Factor -6*n**4 - 28/3*n**2 - 4*n - 4/3*n**5 - 32/3*n**3 - f.
-2*(n + 1)**4*(2*n + 1)/3
Suppose -k = -3 + 1. Factor 8*u**2 + k*u - 10*u - 2 + 4*u**4 + 14*u**3 + 2.
2*u*(u + 2)**2*(2*u - 1)
Let k(m) be the second derivative of m**6/600 - 2*m**5/75 + m**4/6 - 8*m**3/15 - 129*m**2/2 - 174*m. Let l(i) be the first derivative of k(i). Factor l(z).
(z - 4)*(z - 2)**2/5
Let j(b) = -b**3 - b - 3. Let o(a) = -4*a**4 - 179*a**3 - 660*a**2 - 811*a - 329. Let g(w) = -3*j(w) + o(w). Factor g(x).
-4*(x + 1)**2*(x + 2)*(x + 40)
Suppose -109*j**2 - 45 + 5/2*j**3 - 313/2*j = 0. What is j?
-1, -2/5, 45
Let j = -371013 + 371015. Suppose -9/7*x**j + 47/7*x - 10/7 = 0. Calculate x.
2/9, 5
Let -1/2*u**3 - 99/2*u**2 + 99/2 + 1/2*u = 0. Calculate u.
-99, -1, 1
Suppose 3*a = -23 - 7. Let j be (a/(-6))/(30/36). Solve 4*k**5 + 6*k**j - k**5 + 0*k**5 + 2*k**3 - 11*k**3 = 0 for k.
-2, 0, 1
Suppose o + 4 = 2*a, -2*a + 4*o = 2*a. Let -a*b**2 + 3*b**3 - 3*b**4 + 14 + 7*b**2 - 3*b**5 - 14 = 0. What is b?
-1, 0, 1
Solve -231/5*j**2 - 121/5*j**3 - 8/5*j**4 - 13/5 - 131/5*j = 0.
-13, -1, -1/8
Let d(q) be the second derivative of q**4/12 - q**3/3 - 6*q**2 - q. Let i be d(5). Factor -2*t**2 + 217*t - 214*t + i*t**2.
t*(t + 3)
Let t(a) be the second derivative of a**5/15 + a**4/3 - 16*a**3/3 - 41*a**2 - 44*a + 2. Let u(b) be the first derivative of t(b). Suppose u(w) = 0. Calculate w.
-4, 2
Let g(f) be the first derivative of -7*f**6/2 - 69*f**5/5 + 33*f**4/2 + 8*f**3 + 3781. Find u, given that g(u) = 0.
-4, -2/7, 0, 1
Let z(q) be the second derivative of -q**7/21 - 32*q**6/15 - 313*q**5/10 - 463*q**4/3 - 1036*q**3/3 - 392*q**2 + 2448*q. Determine l, given that z(l) = 0.
-14, -2, -1
Let z(n) be the second derivative of 0 + 14*n**3 - 219*n - 11/3*n**4 + 4*n**2. Solve z(w) = 0.
-1/11, 2
Let j(q) be the second derivative of q**7/280 - 3*q**6/80 - 24*q**2 + 10*q + 4. Let l(c) be the first derivative of j(c). Determine y, given that l(y) = 0.
0, 6
Let u be (-12)/110*(10 + (-910)/78). Let -2*t - 12/11*t**2 - u*t**3 - 12/11 = 0. Calculate t.
-3, -2, -1
Let x = -72 - -240. Let u be -3*16/x + (-69)/(-21). Suppose -48/5*j + 15*j**3 - 12/5 - u*j**2 = 0. What is j?
-2/5, 1
Suppose 4*p + z = 10, 2*p + 5*z = 197 - 219. Let 2/3*j**2 + 10/3 - p*j = 0. What is j?
1, 5
Let g = -1125862/19 - -59256. Solve 0*q**3 + 0*q + 4/19*q**2 - g - 2/19*q**4 = 0 for q.
-1, 1
Let l(r) be the first derivative of -r**4/120 - 7*r**3/6 - 245*r**2/4 - 6*r - 124. Let o(b) be the first derivative of l(b). Suppose o(y) = 0. Calculate y.
-35
Let l(j) = -15*j**3 - 920*j**2 - 44130*j - 124220. Let s(r) = 2*r**3 - r**2 - r + 1. Let n(d) = -l(d) - 5*s(d). Suppose n(k) = 0. What is k?
-91, -3
Let -2676/7*a**2 - 2/7*a**4 + 136/7*a**3 - 9610/7 + 1736*a = 0. Calculate a.
1, 5, 31
Factor 205/6*d + 175 + 5/6*d**2.
5*(d + 6)*(d + 35)/6
Let i(m) = m**5 - 5*m**4 + 10*m**3 - 4*m**2 - 2. Let g(j) = -j - j**3 + 1 + j. Let n(q) = q**3 - 6*q - 6. Let y be n(-2). Let c(a) = y*g(a) - i(a). Factor c(z).
-z**2*(z - 2)**2*(z - 1)
Let l(k) = -144*k**3 - 928*k**2 - 1194*k + 46. Let z(f) = -146*f**3 - 928*f**2 - 1195*f + 49. Let m(w) = -5*l(w) + 6*z(w). Factor m(p).
-4*(p + 2)*(p + 4)*(39*p - 2)
Let v = 913 - 527. Let s = v - 384. Let -s*m**4 + 4 - 10*m + 7*m**2 + 1/2*m**5 + 1/2*m**3 = 0. Calculate m.
-2, 1, 2
Let r(z) be the first derivative of -58*z**3/3 + 88*z**2 - 6*z - 1293. Factor r(c).
-2*(c - 3)*(29*c - 1)
Solve 6*b**3 + 25*b**2 + 8*b - 38*b + 47*b**3 - 25*b**4 - 28*b**3 + 5*b**5 = 0 for b.
-1, 0, 1, 2, 3
Sup