4/4 + 55*c**3 - 93*c. Let d(b) = -5*p(b) + 24*s(b). Solve d(m) = 0.
-22, -1, 0
Let y(f) = -220*f**4 + 55*f**3 - 75*f**2 + 40*f + 130. Let b(x) = 27*x**4 - 7*x**3 + 9*x**2 - 5*x - 16. Let z(u) = -65*b(u) - 8*y(u). Find j such that z(j) = 0.
-1, 0
Let t be 49/14*320/420. What is o in 4/3*o**3 + 38/3*o + 25/3*o**2 + t = 0?
-4, -2, -1/4
Suppose -a = -q + a + 8, 17 = 4*q - 3*a. Let c be ((-2)/(-4) + 2)*(-428*8/(-160) + -18). Let 5/2*v**q + c*v + 3 = 0. Calculate v.
-3, -2/5
Let o be 5/60*(12 - (18 - 9))*8. Let 50/7*k + 22/7*k**3 + 0 - 2/7*k**4 - 10*k**o = 0. What is k?
0, 1, 5
Factor -1/6*o**2 - 362/3 - 725/6*o.
-(o + 1)*(o + 724)/6
Factor -22*s + 4159*s**2 - 4154*s**2 + 42*s.
5*s*(s + 4)
Let c(d) = 19*d**2 + 755*d + 24563. Let l(v) = -136*v - 1734 + 15*v**2 - 18*v**2 + 10*v - 2360. Let z(h) = 6*c(h) + 39*l(h). Find b such that z(b) = 0.
-64
Let n(w) be the first derivative of -w**4/2 + 2470*w**3 - 4575675*w**2 + 3767305750*w - 3491. Solve n(j) = 0 for j.
1235
Let n(h) be the second derivative of -h**7/70 - h**6/8 - 7*h**5/20 - 3*h**4/8 - 5*h**2 + 2*h + 6. Let q(f) be the first derivative of n(f). Factor q(r).
-3*r*(r + 1)**2*(r + 3)
Let w(j) = -1853*j - 22234. Let y be w(-12). Factor -2/7*r**3 - 44/7*r**y - 306/7*r - 648/7.
-2*(r + 4)*(r + 9)**2/7
Let y(f) be the third derivative of -f**4/6 - 131*f**3/6 - 56*f**2 + 1. Let w be y(-36). Factor -4 + 7/2*p**2 + w*p.
(p + 4)*(7*p - 2)/2
Determine g so that 52*g**2 - 1117*g**5 + 64 - 26*g**3 + 2232*g**5 - 1117*g**5 - 16*g**4 + 128*g = 0.
-4, -1, 2
Let g = -411 + 494. Suppose 100*c - g*c = 51. Determine w, given that 3 + 3/2*w - 3/2*w**c - 3*w**2 = 0.
-2, -1, 1
Let a(v) be the second derivative of -v**5/160 - 39*v**4/32 - 56*v**3 + 2816*v**2 + 6746*v. Let a(m) = 0. Calculate m.
-64, 11
Factor -259*r**3 - 468 - 32 - 170*r + 261*r**3 + 44*r**2.
2*(r - 5)*(r + 2)*(r + 25)
Let p = -167927/12 + 13994. Let f(c) be the third derivative of p*c**4 - 5/12*c**3 - 41*c**2 + 0*c + 1/120*c**5 + 0. Factor f(x).
(x - 1)*(x + 5)/2
Let j(l) be the third derivative of l**7/70 + 29*l**6/4 + 429*l**5/5 + 427*l**4 + 1136*l**3 + 21*l**2 + l - 18. Factor j(w).
3*(w + 2)**3*(w + 284)
Determine r, given that -90*r + 203*r**2 - 247*r**2 + 205*r**2 + 268*r**2 - 11 - 13 = 0.
-2/13, 4/11
Suppose 0 = -3*m + 5*c + 145, 5*m - 5*c - 312 + 67 = 0. Suppose -m*l = -18*l - 64. Solve -18*u**l + 3/2*u + 3*u**4 + 3 + 15*u**3 - 9/2*u**5 = 0.
-2, -1/3, 1
Let l be 894/(7*(-9)/(-105)). Let v = l + -1490. Let -2/11*x**2 + v + 1/11*x + 1/11*x**3 = 0. Calculate x.
0, 1
Let r = -53 + 135. Let x = r + -62. Let -6 + 7*d**2 - 8*d + 11*d**2 - x*d**2 = 0. What is d?
-3, -1
Suppose 0 = -6*t + 18, -z + 615*t - 12 + 2 = 611*t. What is v in 10/11*v**z - 10/11 - 48/11*v = 0?
-1/5, 5
Let v = 23 + -6. Factor -17 + v - 3*s**2 + 6*s**4 - 3*s**4.
3*s**2*(s - 1)*(s + 1)
Determine d, given that 738/7 + 2/7*d**2 + 100/7*d = 0.
-41, -9
Determine t so that 2*t**3 - 22090 + 5358*t - 2*t**3 - 7669*t**2 + 7471*t**2 + 2*t**3 = 0.
5, 47
Let h = 941 - 969. Let z be (-7)/h - (-49)/56. Find f, given that -3/8*f**3 - z + 3/8*f + 9/8*f**2 = 0.
-1, 1, 3
Let r = 45263/14 + -3233. Let m(w) be the second derivative of 1/42*w**4 + 13*w - 1/7*w**2 + r*w**3 + 1/294*w**7 - 1/35*w**5 + 0 + 0*w**6. Factor m(p).
(p - 1)**3*(p + 1)*(p + 2)/7
Let a = 71/308 + 403/924. Factor 17/3*o**2 + 1/3*o - a + 14/3*o**3.
(o + 1)*(2*o + 1)*(7*o - 2)/3
Let u(m) be the second derivative of 2*m**6/105 + 59*m**5/140 + 59*m**4/28 + 64*m**3/21 - 22*m**2/7 + 160*m - 6. Determine h, given that u(h) = 0.
-11, -2, 1/4
Let z(p) be the first derivative of p**6/16 - 135*p**5/8 + 23085*p**4/16 - 156735*p**3/4 + 7577955*p**2/16 - 21434787*p/8 + 9841. Factor z(q).
3*(q - 99)**2*(q - 9)**3/8
Let l(i) = 5*i**2 - 5. Let x be 5*1*(288/30)/8. Let h(z) = 1 - 2 + 8 - x - z. Let m(q) = -5*h(q) + l(q). Let m(n) = 0. What is n?
-2, 1
Let c(i) be the second derivative of 8*i**6/15 + 29*i**5/5 + 21*i**4 + 92*i**3/3 + 16*i**2 + 3*i + 92. Solve c(u) = 0 for u.
-4, -2, -1, -1/4
Suppose 0 = -8*k + 30 - 6. Let w be (0 + 1 - 2) + 3. Suppose 0*u**3 + 3*u**w + 2*u**3 + 63*u - 66*u + u**k - 3*u**4 = 0. What is u?
-1, 0, 1
Suppose -12*l - 6*l + 54 = 0. Suppose -4 = -l*a - t + 5, -a + t = -7. Find b such that 4/3*b**2 + 2/3*b**a + 0*b - 2*b**3 + 0 = 0.
0, 1, 2
Let k(i) = 56*i + 134. Let f be k(-9). Let h = f + 372. Factor -1 - 3/2*q + q**h.
(q - 2)*(2*q + 1)/2
Suppose 224 + 55 + 279*y + 166 - 775 + 54*y**2 - 3*y**3 = 0. Calculate y.
-5, 1, 22
Let g = 85106 + -85104. Factor 6/5*a**g - 6/5*a**3 - 2/5*a + 0 + 2/5*a**4.
2*a*(a - 1)**3/5
Suppose 5 = 7*y - 16. Factor -6*x**2 - 23*x**2 + 84*x + 23*x**2 + 4*x**y - 26*x**2 - 72.
4*(x - 3)**2*(x - 2)
Let f(t) be the third derivative of t**5/390 + 31*t**4/156 + 10*t**3/3 - 109*t**2. Factor f(x).
2*(x + 5)*(x + 26)/13
Let o(i) be the third derivative of i**8/672 - i**7/420 - i**6/240 + i**5/120 - i**2 + 115*i. Factor o(j).
j**2*(j - 1)**2*(j + 1)/2
Let m(c) = 29*c**3 - 1419*c**2 + 4109*c - 768. Let r(h) = -7*h**3 + 355*h**2 - 1027*h + 192. Let s(l) = -6*m(l) - 22*r(l). Factor s(a).
-4*(a - 32)*(a - 3)*(5*a - 1)
Suppose -3*y + 3 = -4*z - 0, 4*y - 17 = z. Let k be 15/3 + 12/(-4). Factor 3*q**2 + y + 2*q**2 - 10*q**k.
-5*(q - 1)*(q + 1)
Let q = 57 - 129. Let u = -21 - q. Factor 51 - 3*k - u + 3*k**2.
3*k*(k - 1)
Let o = 8 + -2. Let a be -71 + 99 + -6 - 5. Factor 40/3*m**3 - o*m - a*m**2 + 0 - 7/3*m**4.
-m*(m - 3)**2*(7*m + 2)/3
Let n = -76/3 + 80/3. Let l be 10/(-6) - (-5 + (-21)/(-7)). Factor -l*g**3 - 5/3*g - n*g**2 - 2/3.
-(g + 1)**2*(g + 2)/3
Suppose -3*u + 44 - 167 = 5*x, -x = u + 25. Let p be ((-17)/(-34))/((-1)/x). Find i, given that 5*i**2 + 5 - p + 13 - 17*i = 0.
2/5, 3
What is j in 125*j**2 + 245*j**4 - 75*j**2 - 61*j**3 - 206*j**3 - 28*j**3 = 0?
0, 10/49, 1
Let h = 26032/21 + -286310/231. Let -24/11 + h*v**2 + 52/11*v**3 - 14/11*v**4 - 8*v = 0. What is v?
-1, -2/7, 2, 3
Let z(x) = -x**3 + 5*x**2 + 2*x + 2. Let q(w) = w**3 + w - 1. Let m(u) = 2*q(u) + z(u). Let b(f) = 6*f**2 + 3*f. Let i(h) = 6*b(h) - 5*m(h). Factor i(v).
-v*(v - 2)*(5*v - 1)
Let a(v) be the first derivative of v**3/6 - 248*v**2 - 3699. Factor a(r).
r*(r - 992)/2
Let o = 149 + -204. Let s be 0/o + (-4)/(-6). Determine h, given that -4/9 - s*h - 2/9*h**2 = 0.
-2, -1
Let z be -30 + -12 + (-84 - -126). Let 2/7*l**3 - 36/7*l**2 + z + 34/7*l = 0. What is l?
0, 1, 17
Let k = -178694 - -178694. Let 0*r - 1/2*r**5 + k + 1/2*r**3 - 1/4*r**4 + 1/4*r**2 = 0. Calculate r.
-1, -1/2, 0, 1
Find f, given that 1/6*f**4 + 0 - 5/6*f**3 - f**2 + 0*f = 0.
-1, 0, 6
Let h(g) be the first derivative of 45/4*g**4 + 0*g + 80 + 0*g**2 - 12*g**5 - 10/3*g**3 + 25/6*g**6. Factor h(v).
5*v**2*(v - 1)**2*(5*v - 2)
Let r = 190 + -181. Factor -508*n**3 - r*n + 512*n**3 + 5*n.
4*n*(n - 1)*(n + 1)
Let u(d) = -d**2. Let g(l) = -2*l**2 + 3*l - 4. Let w(h) = h**2 - h + 1. Let x(c) = -g(c) - 4*w(c). Let k(i) = -15*u(i) + 6*x(i). Suppose k(m) = 0. Calculate m.
-2, 0
Let z(d) be the first derivative of -5*d**4/4 + 95*d**3/3 + 50*d**2 + 1371. Factor z(r).
-5*r*(r - 20)*(r + 1)
Let f(n) = -19*n**3 + 211*n**2 - 653*n + 461. Let z(j) = -108*j**3 + 1196*j**2 - 3700*j + 2612. Let o(p) = -40*f(p) + 7*z(p). Let o(k) = 0. Calculate k.
1, 3, 13
Let h(s) be the second derivative of 3*s**7/70 + 17*s**6/20 + 21*s**5/5 - 9*s**4 - 75*s**2/2 + 28*s + 3. Let o(r) be the first derivative of h(r). Factor o(t).
3*t*(t + 6)**2*(3*t - 2)
Factor -220 - 6725*v**2 + 221*v + 3361*v**2 + 3363*v**2.
-(v - 220)*(v - 1)
Let f be (2/(-4)*-1)/(1435/40180) + -12. Find m, given that 0 - 3/4*m**f + 12*m = 0.
0, 16
Let o(n) be the second derivative of n**5/15 + 11*n**4/6 - 8*n**3 + 25*n**2 + 8*n - 7. Let f(h) be the first derivative of o(h). Factor f(r).
4*(r - 1)*(r + 12)
Let m(a) = -1 - 23*a - 21*a + 45*a. Let w be m(3). Factor -2*d**4 - d - 417*d**w + 3*d**4 + 416*d**2 + d**3.
d*(d - 1)*(d + 1)**2
Let w = 5198/11493 - 10/1277. Factor 26/9*t**2 + 10/3*t + w.
2*(t + 1)*(13*t + 2)/9
Suppose -3*p = -2*f + 33, -913*f - 6*p - 42 = -909*f. Find y such that 1/2*y**f - 1/3*y**2 - 1/6*y + 0 = 0.
-1/3, 0, 1
Suppose 0 = 5*h + 2039*f - 2044*f + 70, 54 = 9*h + f. Factor 5/2*p - 5/2*p**3 - 1/2*p**h - 3/2*p**2 + 2.
-(p - 1)*(p + 1)**2*(p + 4)/2
Let g(t) be the first derivative of t**5/20 - t**4/3 + 2*t**3/3 + 50*t - 4