d - 2)/5
Suppose -29*n + 33 = 1 - 26. Let a(x) be the second derivative of 0*x**2 + n*x**3 + 0 + 16*x - 2*x**4 - 3/4*x**5. Factor a(f).
-3*f*(f + 2)*(5*f - 2)
Let j(u) be the second derivative of u**7/2 - u**6/5 - 1071*u**5/20 - 146*u**4 - 70*u**3 + 144*u**2 - u - 179. Determine m, given that j(m) = 0.
-6, -1, 2/7, 8
Let d(g) = g**2 + g + 21. Let y(f) = -18. Suppose -p = -5*t + 22, -37 = -5*p - 4*t - 2. Let v(m) = p*y(m) + 2*d(m). Factor v(q).
2*(q - 2)*(q + 3)
Let r be 111/(-370) + 148/(-40) + (6 - 0). Let g(l) be the first derivative of 20 - 1/20*l**4 - 27/10*l**r + 27/5*l + 3/5*l**3. What is a in g(a) = 0?
3
Let a(z) be the third derivative of z**6/240 + 57*z**5/40 + 227*z**4/64 + 85*z**3/24 - z**2 + 66. Find q, given that a(q) = 0.
-170, -1/2
Let j = -144 + 142. Let t be j - (-28)/6*3. Factor 6*i**2 - 3*i**2 + 24 - t*i**2 + 4*i + i**2.
-4*(i - 2)*(2*i + 3)
Let w(y) be the second derivative of -5*y**4/12 - 410*y**3/3 - 810*y**2 + 2*y - 4489. Factor w(r).
-5*(r + 2)*(r + 162)
Let h be 0 + -4 - (-12 + 16 - 16). Let b(i) be the first derivative of -2/15*i**5 + 0*i**2 + 0*i - 2/9*i**3 + 1/3*i**4 - h. Suppose b(t) = 0. What is t?
0, 1
Factor 13/2*u**2 + 1/4*u**3 + 23*u + 22.
(u + 2)**2*(u + 22)/4
Let p = 49345/706 + -4375/353. Factor -110 - 5/4*b**2 - p*b.
-5*(b + 2)*(b + 44)/4
Let i(l) = 3*l - 48. Let p(a) = 2*a - 24. Let r(z) = -4*i(z) + 7*p(z). Let c be r(-7). Suppose -11*h - c*h + 19*h - 4*h**2 - 2*h**3 = 0. Calculate h.
-1, 0
Suppose c + 210 = 5*n, -3*c - 2*n - 224 = 440. Let x be (-11)/(c/(-32)) + -3 + 5. Factor 4/5*l**2 + 0*l + 0*l**3 - x - 2/5*l**4.
-2*(l - 1)**2*(l + 1)**2/5
Let b(s) be the third derivative of 19*s**8/1848 - 34*s**7/1155 + s**6/60 + 2*s**5/165 + 68*s**2 + 13*s. What is v in b(v) = 0?
-4/19, 0, 1
Let v be (16/(-6))/((-9440)/7080). Find b such that -6/11*b**v + 4/11*b + 2/11*b**4 + 0 + 0*b**3 = 0.
-2, 0, 1
Let m(a) be the third derivative of -a**7/1785 - a**6/255 - a**5/102 - a**4/102 - 2703*a**2. Determine y, given that m(y) = 0.
-2, -1, 0
Let d(j) be the third derivative of -j**2 + 4*j - 7/60*j**6 - 1/4*j**5 + 0 + 0*j**4 + 0*j**3 + 1/210*j**7. Find r, given that d(r) = 0.
-1, 0, 15
Let z(d) be the first derivative of d**4/84 - 17*d**3/21 + 289*d**2/14 - 27*d - 3. Let g(b) be the first derivative of z(b). Find w, given that g(w) = 0.
17
Let o(d) = d**3 - d**2 - d - 4. Let t(w) = -12*w**3 - 56*w**2 + 12*w + 126. Let b(s) = 28*o(s) + 2*t(s). Determine z so that b(z) = 0.
-1, 1, 35
What is t in -2472*t - 1092727/2*t**3 - 32 - 63654*t**2 = 0?
-4/103
Let s be -22*(-51)/(-11220)*-15. Solve 3/8*i**2 - 27/8*i + 39/8*i**3 + 3/4 - 9/8*i**4 - s*i**5 = 0 for i.
-2, -1, 1/4, 1
Let b be (80/6)/5 - 5/(-15). Let z be 1 + b + -5 + 4. Factor -2/11*d + 0 - 2/11*d**z - 4/11*d**2.
-2*d*(d + 1)**2/11
Let q be (4/18 - 55/99)*4464/(-62). What is w in -225/7*w**2 - 75/7*w**3 - 36/7 - q*w = 0?
-2, -3/5, -2/5
Let x = -1268135/7 - -181171. Factor 6 + x*k + 8/7*k**2.
2*(k + 7)*(4*k + 3)/7
Determine l so that -374/13*l**3 + 1134/13*l**2 - 1138/13*l - 2/13*l**4 + 380/13 = 0.
-190, 1
Suppose 15 = 5*i + 5*z, 5*i - 12*z = -11*z + 9. Let v be (-252)/(-81) + i/(6/(-9)). Factor -2/9*u**4 + 2/9 + 2/9*u**3 + 8/9*u**2 + 7/9*u - v*u**5.
-(u - 2)*(u + 1)**4/9
Let u(i) be the second derivative of -i**6/90 + i**5/6 + 53*i**4/36 + 7*i**3/3 - 218*i + 1. Solve u(s) = 0 for s.
-3, -1, 0, 14
Let a be (330/4 - -7)*-6. Let r = -1610/3 - a. Factor -4/3*v - r*v**2 + 0.
-v*(v + 4)/3
Let i(f) = 2*f + 53. Suppose 0 = 3*m - 5*z + 38, -2*z - z = 4*m + 99. Let x be i(m). Factor -x*l + 34*l - 5*l**2 - 16 - 3*l + l**2.
-4*(l - 4)*(l - 1)
Let n(v) = -4*v**2 + 263*v - 6. Let o(w) = 11*w**2 - 796*w + 16. Let t(z) = 8*n(z) + 3*o(z). Factor t(p).
p*(p - 284)
Let o(q) be the third derivative of 10/3*q**3 + 11/10*q**5 + 1/105*q**7 + 0*q + 4 - 31/12*q**4 + 4*q**2 - 13/60*q**6. Solve o(s) = 0.
1, 10
Let h(p) = p**4 + 122*p**3 + 745*p**2 - 876*p + 4. Let j(n) = 120*n**3 + 745*n**2 - 875*n + 5. Let g(i) = -5*h(i) + 4*j(i). Factor g(z).
-5*z*(z - 1)*(z + 11)*(z + 16)
Let s(g) be the first derivative of 15*g**4/16 + 235*g**3/12 + 1025*g**2/8 + 1125*g/4 + 5821. Factor s(t).
5*(t + 5)*(t + 9)*(3*t + 5)/4
Let t = 5074/329 - 698/47. Suppose -16/7*d**2 - t*d - 4/7*d**5 + 8/7*d**4 + 8/7*d**3 + 8/7 = 0. Calculate d.
-1, 1, 2
Let i(g) be the third derivative of -g**6/120 + 43*g**5/300 - 13*g**4/30 - 14*g**3/15 + 2256*g**2. Find s, given that i(s) = 0.
-2/5, 2, 7
Suppose -44*t + 58 = -39*t - 2*i, -3*i = t - 15. Find o such that -22*o**2 - 15 + 6*o**4 - t - 14 - 24*o + 2*o**5 + 33 - 2*o**3 = 0.
-2, -1, 2
Suppose 5*s = -11*c + 16*c + 45, 0 = 5*s + 5*c + 25. Find j, given that 0 + 2/11*j**s + 4/11*j = 0.
-2, 0
Let n = 380955 + -380953. Let -44/5*q**n - 112/5 + 624/5*q = 0. What is q?
2/11, 14
Let k(d) be the third derivative of d**8/98 - 2*d**7/147 - 149*d**6/210 + 25*d**5/21 - 25*d**4/42 - 1468*d**2 + d. Suppose k(n) = 0. What is n?
-5, 0, 1/3, 1/2, 5
Let j(i) be the first derivative of 4/7*i**3 + 16/7*i + 1/14*i**4 + 12/7*i**2 + 82. Determine s so that j(s) = 0.
-2
Let y(p) = 14*p**2 + 118*p + 438. Let k(o) = -13*o**2 - 117*o - 423. Let m(f) = -10*k(f) - 9*y(f). Solve m(q) = 0.
-24, -3
Let m = 9679 + -48281/5. Let d(l) be the first derivative of -24/5*l - 42*l**3 - 147/20*l**4 + 1029/25*l**5 - 1 - m*l**2. Let d(f) = 0. What is f?
-2/7, 1
Factor 1/2*p**4 + 111*p**2 - 182*p - 14*p**3 + 169/2.
(p - 13)**2*(p - 1)**2/2
Suppose -2*c + 3/2*c**4 + 21/4*c**2 + 0 - 1/8*c**5 - 37/8*c**3 = 0. What is c?
0, 1, 2, 8
Let 5463*k - 96387*k**2 - 1311*k + 48191*k**2 + 48193*k**2 = 0. What is k?
0, 1384
Let y(w) be the third derivative of w**8/588 + 11*w**7/735 + w**6/28 - w**5/42 - 17*w**4/84 - 2*w**3/7 - 5*w**2 - 22*w. Suppose y(z) = 0. Calculate z.
-3, -2, -1, -1/2, 1
Suppose 9*p - 747 - 180 = 0. Let -9*t**2 - 2*t - 49*t**4 - 59*t**4 - 12*t**3 + p*t**4 = 0. What is t?
-1, -2/5, 0
Suppose 0 = -6*p - 24 - 240. Let n = p + 47. Factor 15*s**2 - 7*s**3 - 7*s + 11*s**n - 3*s - 9*s**3.
-5*s*(s - 2)*(s - 1)
Let u = 81290 - 894170/11. Let -u*w**2 - 54/11*w + 6/11*w**3 + 20/11 = 0. What is w?
-2, 1/3, 5
Let d(c) be the second derivative of 128*c + 1/30*c**6 + 0*c**2 + 0*c**3 + 1/4*c**4 + 1/5*c**5 + 0. Factor d(j).
j**2*(j + 1)*(j + 3)
Let n be (-792)/(-168) + (-24)/(-56)*-4. Factor 1/3*y**n + 27 - 17/3*y**2 + 21*y.
(y - 9)**2*(y + 1)/3
Let n = 9301 + -9299. Let o(i) be the first derivative of -i + 6 - 1/4*i**n + 1/6*i**3. Solve o(c) = 0.
-1, 2
Let s(y) = 6*y**4 - 2*y**3 - 6*y**2 + 8*y. Let f(j) = 13*j**4 - 3*j**3 - 13*j**2 + 18*j. Let z(t) = -2*f(t) + 5*s(t). Determine a, given that z(a) = 0.
-1, 0, 1
Let g(c) be the second derivative of -c**5/10 + 5*c**4 + 148*c**3/3 - 408*c**2 + 5559*c. Factor g(p).
-2*(p - 34)*(p - 2)*(p + 6)
Let q be (5 - -221)*7/2. Let -796*c**3 - 10*c**2 - 60*c + q*c**3 + 75*c**2 = 0. What is c?
0, 1, 12
Let s(y) be the third derivative of -y**6/360 + y**5/10 + 8*y**4/3 + 208*y**3/9 - 8*y**2 - 5*y - 1. Factor s(p).
-(p - 26)*(p + 4)**2/3
Let r(d) be the first derivative of -936*d + 12*d**2 - 2/39*d**3 - 91. Factor r(f).
-2*(f - 78)**2/13
Factor -5529*y**3 + 4*y**2 + 2904*y**3 - 164*y**4 + 2945*y**3 + 2*y**5 - 322*y + 160.
2*(y - 80)*(y - 1)**3*(y + 1)
Let k(z) be the third derivative of z**7/1050 + 4*z**6/75 - 79*z**5/60 + 35*z**4/4 - 14*z**2 - z + 15. Factor k(v).
v*(v - 5)**2*(v + 42)/5
Let i = -3571 - -3576. Let f(x) be the first derivative of 54/11*x**2 + 2/55*x**i - 10 + 54/11*x + 24/11*x**3 + 5/11*x**4. Factor f(t).
2*(t + 1)*(t + 3)**3/11
Let n(u) = 3*u**3 + 2*u**2 + 12*u. Let q(x) = -31*x**3 - 88*x**2 - 420*x - 296. Let i(l) = -22*n(l) - 2*q(l). Determine g so that i(g) = 0.
-2, 37
Let v(l) = -7*l**2 - 1035*l + 3160. Let j(f) = 40*f**2 + 5865*f - 17910. Let n(m) = 8*j(m) + 45*v(m). Factor n(p).
5*(p - 3)*(p + 72)
Let c(j) = 5*j**2 + 179*j + 485. Let y(r) = r**2 - 9*r - 1. Let s(i) = -c(i) + 7*y(i). Find m such that s(m) = 0.
-2, 123
Suppose -14 = -4*w + 2*r, 4*r + 13 = 2*w + r. Suppose 0 = 3*g - w*g - 4. Solve 10*m**3 + 17*m**4 + 8*m - 17*m**4 - 32*m**2 + 50*m**g = 0 for m.
-1, 0, 2/5
Let o(x) be the third derivative of 2*x**7/21 + 211*x**6/24 + 359*x**5/12 + 505*x**4/24 - 85*x**3/2 + 19*x**2 + x + 15. Suppose o(s) = 0. Calculate s.
-51, -1, 1/4
Let u = -1596/61 + 3375/122. Let k(t) be the sec