(i - 1)*(4*i + 129)/4
Let k(i) be the second derivative of -1/3*i**4 - 3/5*i**5 + 1/2*i**6 + 0 - 202*i + 0*i**2 - 2/21*i**7 + 0*i**3. Factor k(g).
-g**2*(g - 2)**2*(4*g + 1)
Let w(t) be the second derivative of t**7/105 + 2*t**6/75 - 7*t**5/10 - 2047*t. Find r, given that w(r) = 0.
-7, 0, 5
Let t(c) = 25*c**3 + 30*c**2 + 5*c - 20. Let w be -2 - -7 - 24/6. Let q(z) = -z**3 - z**2 + 1. Let d(r) = w*t(r) + 20*q(r). Solve d(x) = 0.
-1, 0
Let x(f) be the third derivative of -f**5/60 + 5*f**4/12 - 4*f**3 + f**2 + 14*f - 9. Let x(k) = 0. Calculate k.
4, 6
Suppose 2/5*k**3 - 1/5*k**4 + 252/5*k + 0 + 99/5*k**2 = 0. Calculate k.
-7, -3, 0, 12
Let i = -1 - -5. Suppose 4*t + i*g - 156 = -0*g, -190 = -5*t - 4*g. Let -t*n**2 + 2*n**3 + 3*n**3 - 40 - 20*n - 27*n**2 + 71*n**2 = 0. Calculate n.
-2, 2
Let k be (-64)/(-80)*(5941/312 + -18). Find f, given that 3/2*f**2 + 5/6*f - k*f**3 - 1/3 - 7/6*f**4 = 0.
-1, 2/7, 1
Suppose -5236 = 19*c + 901. Let q = -1287/4 - c. Factor -3/4*z**2 - q*z + 0.
-z*(3*z + 5)/4
Let u(i) be the third derivative of i**6/280 + 99*i**5/70 + 9801*i**4/56 - 82*i**2 + 16*i. Determine a, given that u(a) = 0.
-99, 0
Let c(o) be the second derivative of o**4/36 + 78*o**3 + 82134*o**2 - 1391*o. What is v in c(v) = 0?
-702
Let f(i) be the first derivative of -i**4/4 + 722*i**3 - 781926*i**2 + 376367048*i + 15998. Factor f(j).
-(j - 722)**3
Let i be (-63)/2*(-28)/(-210). Let h = i + 57/10. Find d, given that -h*d + 1 - 5/2*d**2 = 0.
-1, 2/5
Let i(x) be the second derivative of x**6/270 - 13*x**5/180 + 25*x**4/54 - 16*x**3/27 - 16*x**2/3 - 3*x - 1. Solve i(h) = 0 for h.
-1, 4, 6
Let m = 673/1190 + 1/170. Suppose -t = j + 4, 37*j + 4*t + 22 = 36*j. Factor 6/7 + m*q - 2/7*q**j.
-2*(q - 3)*(q + 1)/7
Let p(f) = 20*f**2 - 4124*f - 1032244. Let s(d) = -18*d**2 + 4119*d + 1032245. Let m(h) = -11*p(h) - 12*s(h). Solve m(v) = 0 for v.
-508
Let j(k) be the first derivative of 41*k + 279 - 1/3*k**3 - 20*k**2. Solve j(b) = 0 for b.
-41, 1
Solve 1/2*h**3 + 15*h**2 + 29/2*h + 0 = 0.
-29, -1, 0
Let w = -606807/10 - -60681. Factor 2/5*h**3 - w*h**2 - 1/10*h**4 + 0*h + 0.
-h**2*(h - 3)*(h - 1)/10
Let t(w) be the first derivative of w**6/3 + 64*w**5/5 + 44*w**4 + 52*w**3/3 - 89*w**2 - 116*w + 3135. Find p, given that t(p) = 0.
-29, -2, -1, 1
Let q be (-17 - (-2150)/129) + (-183)/(-63). Suppose -3/7*s**4 + 3 + 24/7*s - q*s**2 - 24/7*s**3 = 0. What is s?
-7, -1, 1
Let f(p) be the second derivative of p**5/20 - 89*p**4/12 + 57*p**3/2 + 261*p**2/2 + 1174*p + 3. Determine b, given that f(b) = 0.
-1, 3, 87
Let w(v) = v**2 - 4724*v + 5707327. Let m(h) = -6*h**2 + 28362*h - 34243960. Let c(q) = -6*m(q) - 34*w(q). Determine a, given that c(a) = 0.
2389
Let w(z) = -z**2 + 1143*z. Let n(i) = -i**2 + 570*i. Let t(v) = 7*n(v) - 4*w(v). Factor t(h).
-3*h*(h + 194)
Let o = 37 + -33. Suppose 0*l - 4*h = o*l - 3092, -4*h = -4. Factor -772*b - 4*b**4 + 2*b**3 + l*b + 2*b**5.
2*b**3*(b - 1)**2
Solve -3161*s + 8277*s - 20*s**2 + 6899*s + 15*s**2 - 5356125 - 1665*s = 0.
1035
Let w(h) be the first derivative of -h**4 - 36*h**3 - 190*h**2 - 276*h + 5973. Suppose w(u) = 0. What is u?
-23, -3, -1
Let l = 34 - 39. Let g be 12/2*l/(-15). Factor 2*q**3 + 11*q**g - 11*q**2 - 4*q**2.
2*q**2*(q - 2)
Let y(u) = -11*u**3 - 267*u**2 + 827*u - 525. Let z(b) = -14*b**3 - 266*b**2 + 828*b - 516. Let t(q) = 4*y(q) - 3*z(q). Determine i so that t(i) = 0.
-138, 1, 2
Suppose 1798*q + 1405 + 1332 + 14*q**2 - 953 = 0. Calculate q.
-892/7, -1
Solve 3168*k - 3054*k**2 + 6048 + 74*k**5 - 192*k**5 + 48*k**4 + 67*k**5 - 129*k**3 + 54*k**5 = 0 for k.
-12, -1, 2, 7
Let b = 209 + -203. Let w be (110/264)/(15/b). Determine j, given that -4/3*j**2 + 0 + 2*j - 1/6*j**3 + w*j**4 = 0.
-3, 0, 2
Let m = -15 + 18. Suppose 4*s - 2*s - 46 = -o, 9 = s + 4*o. Find l, given that -43*l**2 - m*l**4 - 40*l + s*l**2 - 2*l**4 - 30*l**3 - 42*l**2 = 0.
-2, 0
Find z such that -12*z**4 + 15*z**4 + 3930*z**3 + z + 6 - 4*z - 3927*z**3 - 6*z**2 - 3*z**2 = 0.
-2, -1, 1
Let r(g) = g**4 + 34*g**3 + 363*g**2 + 321*g - 3. Let i(p) = -p**3 + p**2 - p - 1. Let b(z) = -15*i(z) + 5*r(z). Factor b(w).
5*w*(w + 1)*(w + 18)**2
Let x(n) = 112628*n**2 - 11675*n + 335. Let s(m) = 18770*m**2 - 1946*m + 56. Let a(u) = -35*s(u) + 6*x(u). Let a(r) = 0. What is r?
5/97
Suppose -66 + 42 = 8*h. Let r be (0/(-8))/(3/h). Factor 0*c**2 + 1/2*c**3 + 1/4*c**5 + 0 + 3/4*c**4 + r*c.
c**3*(c + 1)*(c + 2)/4
Let y(b) be the first derivative of 4/35*b**5 - 4/7*b**3 - 3/7*b**4 - 102 - 24/7*b + 22/7*b**2. Factor y(s).
4*(s - 3)*(s - 1)**2*(s + 2)/7
Factor -392/3*y - 92/3*y**2 + 2/3*y**3 - 400/3.
2*(y - 50)*(y + 2)**2/3
Let j be (36/30)/((-6)/(-20)). Factor j*o - 3477 - 14*o**2 + 3477 + 6*o**3.
2*o*(o - 2)*(3*o - 1)
Let v = 463601 + -5096281/11. Solve 1500/11 - 6150/11*n + v*n**2 + 42/11*n**4 - 642/11*n**3 = 0.
2/7, 5
Let n(g) be the second derivative of -7*g**4/3 - 4700*g**3/3 + 1344*g**2 + 471*g + 3. Solve n(b) = 0 for b.
-336, 2/7
Let c(h) = 2*h - 16. Let s be c(10). Suppose -83*p = 27*p - 220. Let -2/11*x**p - s*x - 22 = 0. Calculate x.
-11
Let x = -682954 + 1365919/2. Determine z, given that -x + 3*z + 5/2*z**2 = 0.
-11/5, 1
Let m(q) be the third derivative of -q**8/448 - q**7/140 - q**6/160 + 24*q**2 - 8*q. Suppose m(v) = 0. Calculate v.
-1, 0
Solve -9 + 3*d**2 + 105*d - 22 - 28*d**2 + 5 + 6 = 0 for d.
1/5, 4
Suppose -294 = 10*m - 864. Solve m*a - a - a - 90 - 5*a**2 = 0.
2, 9
Let j = 1735 + -1732. Suppose -5*n = j*r - 135, 45 = 2*r + n - 38. Factor -2/5*u**3 - r - 48*u - 42/5*u**2.
-2*(u + 1)*(u + 10)**2/5
Factor -4/3*r + 87*r**2 - 1/3*r**4 - 28*r**3 - 116.
-(r - 2)**2*(r + 1)*(r + 87)/3
Let s(k) be the second derivative of 2*k**6/45 - 124*k**5/15 + 4292*k**4/9 - 53824*k**3/9 + 2761*k. Factor s(w).
4*w*(w - 58)**2*(w - 8)/3
Let b be (-16)/(-10) + 18/45. Suppose -b*v - 4*v + 12 = 0. Factor 3*o - o - v + 4*o**2 - 8*o - 2.
2*(o - 2)*(2*o + 1)
Let x be 121/(-36)*(10 - (-115)/(-10)) + -5. Let d(h) be the third derivative of -1/3*h**5 + 0*h**3 + 5/8*h**4 + 0 + 0*h + x*h**6 + 9*h**2. Factor d(w).
5*w*(w - 3)*(w - 1)
Suppose 53*x - 40*x = 1053. Solve -60*t - 156*t**2 - 3 + x*t**2 - 9 = 0.
-2/5
Let b be 64/6*((-5)/(-52) + 444/2886). Factor b*r - 1/3*r**3 + 0 - 2/3*r**2.
-r*(r - 2)*(r + 4)/3
Factor 7*b**2 + 7250*b + 3485192 - 2*b**2 - b**2 + b**2 - 857067.
5*(b + 725)**2
Let p(a) be the first derivative of a**5 + 35*a**4/4 - 10*a**3 - 180*a**2 + 1445. Let p(r) = 0. Calculate r.
-6, -4, 0, 3
Let z(u) be the second derivative of -3*u - 1/35*u**5 + 0*u**4 + 28 + 0*u**2 + 1/21*u**3 + 0*u**6 + 1/147*u**7. Find v such that z(v) = 0.
-1, 0, 1
Suppose 207*s - 35949 = 184*s. Let r = s + -1553. Solve 16/3*a**3 + r*a**2 - 16/3*a + 2/3*a**4 - 32/3 = 0.
-4, -1, 1
Let t = 320049/4 - 80010. Determine w, given that -t*w**4 + 15/2 + 9/4*w - 87/4*w**3 - 93/4*w**2 + 3/2*w**5 = 0.
-2, -1, 1/2, 5
Let o(g) be the third derivative of g**7/490 - 13*g**6/210 - 41*g**5/420 + 43*g**4/84 + 12*g**3/7 + 2*g**2 + 275*g - 7. Let o(w) = 0. What is w?
-1, 4/3, 18
Let c(u) be the first derivative of -u**3/24 + 57*u**2/16 + 29*u/4 - 338. Solve c(r) = 0 for r.
-1, 58
Let b = 114 - 112. Factor -5531 + 28*s + b*s**2 + 2*s**2 + 5571.
4*(s + 2)*(s + 5)
Let h(x) be the first derivative of -x**4/27 + 88*x**3/27 - 968*x**2/9 + 20*x + 58. Let o(z) be the first derivative of h(z). Let o(d) = 0. Calculate d.
22
Factor -45*z**2 - 39*z**3 + 1278*z + 33026 + 261*z - 34484 + 3*z**4.
3*(z - 9)**2*(z - 1)*(z + 6)
Let d(a) be the third derivative of a**6/180 + 13*a**5/30 + 133*a**4/12 + 361*a**3/9 + 501*a**2. Let d(g) = 0. What is g?
-19, -1
Let c(p) = -42*p**2 + 2. Let a(j) = -503*j**2 - 10*j. Let k(d) = 5*a(d) - 60*c(d). Solve k(s) = 0.
-2, 12
Let p(x) be the first derivative of 0*x - 1/4*x**3 + 33/4*x**2 - 34. Let p(v) = 0. Calculate v.
0, 22
Factor 188/7*p + 96/7*p**2 + 0 + 1/7*p**3.
p*(p + 2)*(p + 94)/7
Let x(m) be the second derivative of -2*m + 0*m**2 - 11/51*m**4 - 2/51*m**6 + 7/51*m**3 - 102 + 1/357*m**7 + 12/85*m**5. Factor x(t).
2*t*(t - 7)*(t - 1)**3/17
Let r be (-1 + -8 - 3)/(2/(-13)). Solve -80*f**2 + 4*f + 62 - 32 + r*f**2 = 0 for f.
-3, 5
Let p = 26332/92211 + 2/13173. Let c(k) be the first derivative of -1/7*k**4 - 1/35*k**5 - p*k**2 - 2/7*k**3 - 1/7*k - 25. Find g such that c(g) = 0.
-1
Suppose 4*u + 20*o -