 c?
-2/7, 3
Suppose -9*s + 4*s**5 - 2294*s**2 + 0*s**5 + 17*s**3 - 21*s**4 + 2327*s**2 = 0. Calculate s.
-1, 0, 1/4, 3
Let f(x) be the first derivative of x**5/20 - 3*x**4 + 143*x**3/3 + 24*x**2 - 576*x - 10712. Factor f(t).
(t - 24)**2*(t - 2)*(t + 2)/4
Factor 1/6*h**3 - 1/6*h**4 - 2/3*h + h**2 - 4/3.
-(h - 2)**2*(h + 1)*(h + 2)/6
Let -3/2*l**2 - 340707/2 + 1011*l = 0. What is l?
337
Let v(o) be the second derivative of -2*o**4/3 + 2570*o**3/3 + 1286*o**2 + 1052*o. Determine d, given that v(d) = 0.
-1/2, 643
Let x(s) be the second derivative of s**5/50 - 307*s**4/30 + 23408*s**3/15 + 23716*s**2/5 + 5*s + 116. Factor x(r).
2*(r - 154)**2*(r + 1)/5
Let k(i) be the first derivative of -2*i**3/21 + 776*i**2/7 - 301088*i/7 - 703. Solve k(o) = 0.
388
Let z = -55 + 65. Suppose z*o - 50 = 5*o. Factor -10*c**4 + o*c - 2*c - 8*c**3 + 4 + 6*c**4.
-4*(c - 1)*(c + 1)**3
Let c = -554 - -556. Let d be ((-9)/(-2) - 5)*(c - 2). Factor -8/11*b + d*b**2 + 2/11*b**4 + 6/11*b**3 + 0.
2*b*(b - 1)*(b + 2)**2/11
Suppose -33 = -8*w - 17. Suppose w*t = 2*u + 14, -7*t + 9*t = -2*u + 2. Let -7/3*r**2 - 13/3*r + 1/3*r**t + 1/3*r**3 - 2 = 0. Calculate r.
-2, -1, 3
Let p be 3/((-12)/(-88)) + -1. Suppose -u + 23 = -p. Find m, given that 9*m - 15*m**5 + 258*m**3 - 131*m**2 - 192*m**4 - 69*m**5 + u*m**2 - 12*m**5 = 0.
-3, 0, 1/4, 1/2
What is n in 36/5*n**3 + 92/5*n**2 - 38/5*n - 26/5*n**4 + 2/5*n**5 - 66/5 = 0?
-1, 1, 3, 11
Let r(n) be the second derivative of n**5/5 + 1127*n**4/3 - 4516*n**3/3 + 7411*n. Factor r(j).
4*j*(j - 2)*(j + 1129)
Let m(t) be the third derivative of 7*t**6/60 + 2*t**5/5 - 43*t**4/3 + 16*t**3 + 436*t**2. Factor m(r).
2*(r - 4)*(r + 6)*(7*r - 2)
Suppose 1530*r = 1736*r + 5312*r + 824*r. Let i = 42 + -125/3. Factor 0*w + r + 1/6*w**3 - i*w**2 + 1/6*w**4.
w**2*(w - 1)*(w + 2)/6
Let j(o) be the first derivative of -2/3*o**2 + 1/18*o**4 + 0*o - 42 + 10/27*o**3. Find z, given that j(z) = 0.
-6, 0, 1
Let t = 1870188/7 - 267168. Find w such that -8/7*w**2 - t*w**3 - 4/7*w**4 + 0 + 0*w = 0.
-2, -1, 0
Let z(w) be the first derivative of -2*w**3/27 - 26*w**2/9 + 1402. Suppose z(m) = 0. What is m?
-26, 0
Let b = 8 + -5. Let x be (3 - (b - 1)) + 4/1. Factor 3*q**3 + q**x - q**3 + 3*q**3 - 3*q**3 - 3*q**4.
q**3*(q - 2)*(q - 1)
Let r(h) be the first derivative of -2*h**3/15 + 31*h**2/5 + 132*h/5 + 3737. Suppose r(f) = 0. Calculate f.
-2, 33
Let t(k) be the first derivative of 7*k**5/5 - 79*k**4/4 + 22*k**3/3 - 1090. Factor t(l).
l**2*(l - 11)*(7*l - 2)
Suppose -557*w + 308*w - 346*w + 1785 = 0. Factor 5/2*q**2 + 8 + 11*q - 1/2*q**w.
-(q - 8)*(q + 1)*(q + 2)/2
Let n(p) be the first derivative of 7/4*p**4 - 2/3*p**3 + 0*p - 4/5*p**5 - 44 - 1/2*p**2. Determine h, given that n(h) = 0.
-1/4, 0, 1
Let s = 2/70451 + 2113516/493157. Solve -16/7*p + s + 2/7*p**2 = 0 for p.
3, 5
Let u(d) = 225*d + 1. Let v be u(6). Let q = -1316 - -1334. Factor -1312*c - 7*c**2 - q + v*c - 8*c**2.
-3*(c - 2)*(5*c - 3)
Let p(z) = 13*z**2. Let i(t) = 284*t**2 - 60*t - 162. Let s(c) = 2*i(c) - 44*p(c). Factor s(k).
-4*(k + 3)*(k + 27)
Factor 42436/5*s + 0 + 42024/5*s**2 - 411/5*s**3 + 1/5*s**4.
s*(s - 206)**2*(s + 1)/5
Let z(g) = 8*g**3 - 82*g**2 + 104*g + 14. Let r(q) = 27*q**2 - 20*q - 6*q**3 + 0*q**3 - 14*q + 3*q**3 - 4. Let p(m) = -7*r(m) - 2*z(m). Factor p(i).
5*i*(i - 3)*(i - 2)
Factor 2/7*v**2 + 696/7 + 352/7*v.
2*(v + 2)*(v + 174)/7
Suppose -184 - 1062 - 253 - 1228*l + 628*l**2 + 297 - 658 - 4*l**3 = 0. Calculate l.
-1, 3, 155
Let r be 1*-33*-2*(-24)/(-8). Factor -r*b + 86*b - 5*b**2 + 97*b.
-5*b*(b + 3)
Let n(k) be the third derivative of 0 + 2/15*k**3 - 1/20*k**4 - 62*k**2 + 1/150*k**5 + 0*k. Factor n(w).
2*(w - 2)*(w - 1)/5
What is f in 0 + 4/9*f**3 - 64/9*f + 8/3*f**2 = 0?
-8, 0, 2
Suppose 24*t**2 + 576*t + 0 + 1/4*t**3 = 0. What is t?
-48, 0
Let m(p) = -7*p**3 - 1843*p**2 + 3702*p - 1837. Let q(d) = -24*d**3 - 6451*d**2 + 12957*d - 6431. Let b(c) = -17*m(c) + 5*q(c). Let b(z) = 0. What is z?
-926, 1
Suppose 0 = -2*y + z + 109, 0 = 2*y + 4*z - 69 - 35. Let t be -5 + 9/(y/28) + 1. Solve 1/3*d**3 + t*d**2 - 1/3*d - 2/3 = 0.
-2, -1, 1
What is j in -30/7*j**4 + 12*j + 144/7 - 99/7*j**3 - 3/7*j**5 - 96/7*j**2 = 0?
-4, -3, -2, 1
Let q(j) = -5*j**2 + 2. Let d(v) = -29*v**2 + 38*v + 324. Let r(z) = -d(z) + 6*q(z). Find k, given that r(k) = 0.
-26, -12
Let l(h) = h**2. Let q(n) = -688*n + 2028. Let s(d) = -4*l(d) - q(d). Factor s(y).
-4*(y - 169)*(y - 3)
Suppose -426*d + 36*d**3 + 150*d**2 - 78*d**3 + 279*d**2 + 39*d**3 = 0. Calculate d.
0, 1, 142
Suppose 5*h + 8*v - 6*v - 10 = 0, -5*v = 4*h - 8. Find q such that 60*q + 3*q**2 + 28*q + 3*q**h - 10*q**2 + 163 + 29 = 0.
-2, 24
Factor -2334*f - 1286*f + 85789 + 5*f**2 + 129229 + 440202.
5*(f - 362)**2
Let l(h) be the third derivative of h**7/525 - 19*h**6/150 + 107*h**5/50 + 38*h**4/3 + 80*h**3/3 + 1410*h**2. Factor l(g).
2*(g - 20)**2*(g + 1)**2/5
Let f(k) be the third derivative of -k**9/60480 + k**7/5040 - 19*k**5/15 - k**4/12 - k**2 - 33. Let o(w) be the third derivative of f(w). Factor o(h).
-h*(h - 1)*(h + 1)
Suppose -161 = -90*o - o + 294. Let i(k) be the second derivative of -1/8*k**3 - 1/24*k**4 + 0*k**6 + 28*k + 0 - 1/168*k**7 + 1/20*k**o + 1/4*k**2. Factor i(c).
-(c - 1)**3*(c + 1)*(c + 2)/4
Let p = 1779 + -1740. Suppose -z + 5 + 31 = 0. Let 8 + z - 3*y**4 - 9*y + 15 - p*y**2 + 21*y**3 - 5 = 0. What is y?
-1, 2, 3
Suppose 54*w - 1458 + 870*w**4 - 23976*w**3 - 8*w**5 + 34991/2*w**2 = 0. Calculate w.
-1/4, 1/2, 54
Let f(t) be the second derivative of 2*t**6/15 + 18*t**5/5 + 104*t**4/3 + 128*t**3 - 580*t. Factor f(h).
4*h*(h + 4)*(h + 6)*(h + 8)
Let o = 22023 - 22020. Let f(y) be the third derivative of 0*y**o + 0*y - 11*y**2 + 0*y**5 + 1/630*y**7 + 0*y**4 - 1/1008*y**8 + 0 + 0*y**6. Factor f(m).
-m**4*(m - 1)/3
Let m = 1451832/5 - 290366. Factor 0*n**2 + 0 - m*n + 2/5*n**3.
2*n*(n - 1)*(n + 1)/5
Let x(s) = 14*s**2 - 1678*s + 354482. Let r(t) = -2*t**2 - t. Let c(u) = -12*r(u) - 2*x(u). Factor c(o).
-4*(o - 421)**2
Let b be ((-4)/2)/((-8)/12). What is j in -87*j**b + 140*j**3 - 73*j**3 + 4*j**4 = 0?
0, 5
Let g(q) = q**2 - 80*q - 446. Let z(o) = 3*o**2 - 201*o - 1116. Let d(w) = -12*g(w) + 5*z(w). Factor d(l).
3*(l - 19)*(l + 4)
Find o, given that 6*o**2 + 1140*o + 7*o**2 + 7*o**2 - 20*o**2 + 4*o**2 = 0.
-285, 0
Let 1/3*y**4 - 84*y - 9*y**3 - 128/3 - 152/3*y**2 = 0. Calculate y.
-2, -1, 32
Let i(d) = -d**3 - 3*d**2 + 5*d + 4. Let x be i(-4). Suppose 0 = -4*v + 10*v. Factor 0*w**2 + 0*w**3 - 4/5*w**5 + x + v*w - 8/5*w**4.
-4*w**4*(w + 2)/5
Let b(w) be the second derivative of 3*w**5/20 + 11*w**4/2 - 163*w**3/2 + 210*w**2 - 131*w. Factor b(p).
3*(p - 5)*(p - 1)*(p + 28)
Let b = -435 + 419. Let l = b + 58/3. Let -14/3*y**2 + 4/3 - l*y = 0. What is y?
-1, 2/7
Let u(o) be the first derivative of -41/2*o**2 + 7/3*o**3 + 33*o + 1/4*o**4 - 184. Factor u(y).
(y - 3)*(y - 1)*(y + 11)
Let s(h) = 4*h**3 - 101*h**2 - 1346*h - 3180. Let v(b) = -2*b**3 + b**2 + 4*b + 2. Let a(q) = -s(q) - 3*v(q). Let a(j) = 0. Calculate j.
-23, -3
Factor 36/5*s**2 - 3*s - 3/5*s**3 - 90.
-3*(s - 10)*(s - 5)*(s + 3)/5
Let i(u) be the second derivative of -u**5/200 + 1157*u**4/120 - 16762*u**3/3 + 83521*u**2/5 + 3375*u + 2. Suppose i(z) = 0. What is z?
1, 578
Let v(w) be the third derivative of -w**5/330 + 73*w**4/132 + w**2 - 38*w. Let v(p) = 0. What is p?
0, 73
Factor -1761*m + 111 + 2865*m - 51 + 56644*m**2 + 6512*m + 196.
4*(119*m + 8)**2
Let l be (-79)/(-6) + 4 + (3 - 17). Factor 10/3*z - 1/6*z**2 - l.
-(z - 19)*(z - 1)/6
Suppose 0 = 16*l - 29 - 3. Suppose -189*q - 1428 - 211*q + 2175*q**l - 2170*q**2 + 9428 = 0. What is q?
40
Factor 352735826*a**3 - 14733460*a**2 - 4 - 5734172*a**2 - 1845081883*a**3 + 2722481550*a**3 + 15672*a + 7680106971*a**3.
4*(1306*a - 1)**3
Let i(h) = 4*h + 33. Let x be i(4). Factor -x*f - 12 + 10*f + 19*f - 4*f**2 + 4*f**3.
4*(f - 3)*(f + 1)**2
Let l be 16 + -5 - (11 + -3). Let 8*g**2 - 212*g**4 + 2 - 2 + 11*g**l + 228*g**4 + 9*g**3 + 4*g**5 = 0. Calculate g.
-2, -1, 0
Let i be 3 + (-1)/(5/(-295)). Let t = 66 - i. Factor -8*x**2 + 12 + 4*x**5 - 48*x + 0*x**4 - 4 + 24 + 44*x**3 - 24*x**t.
4*(x - 2)**3*(x - 1)*(x + 1)
Let p(s) be the first derivative of 4*s**2 + 4/3*s**3 - 12*s + 51. Factor p(d).
4*(d - 1)*(d + 3)
Let p(g) = 2341*g + 39797.