q**3 - h*q**3 = 0. What is q?
-2, 0
Let x(q) be the third derivative of q**6/240 - 32*q**5/3 + 25600*q**4/3 + q**2 + 16*q - 2. Suppose x(t) = 0. Calculate t.
0, 640
Factor -67*q - 2*q**5 + 1427*q**3 + 67*q - 1419*q**3.
-2*q**3*(q - 2)*(q + 2)
Let d(p) be the first derivative of 0*p**4 - 10 - 1/180*p**6 + 0*p**3 - 27*p + 0*p**2 - 1/60*p**5. Let r(q) be the first derivative of d(q). Factor r(v).
-v**3*(v + 2)/6
Let j(n) be the second derivative of -n**7/630 + 67*n**6/810 - 11*n**5/135 + 8*n**3/3 - 7*n**2/2 - 98*n. Let s(h) be the second derivative of j(h). Factor s(y).
-4*y*(y - 22)*(3*y - 1)/9
Let w(l) be the first derivative of -5/2*l**4 - 8*l**2 + 16 + 44/3*l**3 + 0*l. Suppose w(n) = 0. What is n?
0, 2/5, 4
Suppose 5*n = -2*v - 3 - 6, v + 4*n = -9. Suppose 4*o + 4*h = v*o + 12, -3*o + 21 = -3*h. Factor 6*t**3 + 1505*t**2 - 2*t**4 - o*t - 1505*t**2.
-2*t*(t - 2)**2*(t + 1)
Let u be 2349/(-116)*8/(-6). Suppose 267*c - u = 258*c. Factor 9/2*b - 5/2 - 3/2*b**2 - 1/2*b**c.
-(b - 1)**2*(b + 5)/2
Let -1/6*l**4 + 3698/3 + 86/3*l**3 - 2465/2*l**2 - 86/3*l = 0. Calculate l.
-1, 1, 86
Let r(l) be the second derivative of -l**7/630 + l**6/30 - 4*l**5/45 - 23*l**3/6 - l**2 + 9*l - 5. Let n(b) be the second derivative of r(b). Factor n(y).
-4*y*(y - 8)*(y - 1)/3
Let a(b) = 4*b**4 + b + 3 - 2*b**4 - 6*b**2 - 2*b**3 + 1. Let v(f) = f. Let s be (12/(-24))/((-4)/16). Let u(c) = s*a(c) + 2*v(c). Factor u(o).
4*(o - 2)*(o - 1)*(o + 1)**2
Let d be (-55)/132*(14/(-10) - -1). Let x(t) be the first derivative of -14 + d*t**3 + 0*t + 0*t**2 - 5/16*t**4. Find n such that x(n) = 0.
0, 2/5
Let l be (-22)/(-99) - (4746/216 - 23). Factor 5*v**3 - 5*v + l*v**4 - 5 + 15/4*v**2.
5*(v - 1)*(v + 1)*(v + 2)**2/4
Let t = 219204 + -219199. Suppose 3/5*l**t - 216/5 + 36*l + 6*l**2 - 9*l**3 + 0*l**4 = 0. What is l?
-3, 2
Let l(h) = h**2 - 6*h + 5. Let q be l(11). Let p = q - 58. Factor 4/7*i - 2/7*i**p + 0 - 2/7*i**3.
-2*i*(i - 1)*(i + 2)/7
Let p(f) = -17*f**2 + 6*f + 89. Let t(j) be the second derivative of -j**4/3 + j**3/3 + 11*j**2 + 136*j. Let c(v) = 2*p(v) - 9*t(v). Factor c(n).
2*(n - 5)*(n + 2)
Factor 134/5*k + 2/5*k**2 + 132/5.
2*(k + 1)*(k + 66)/5
Suppose -7*y + 7 = -14*y. Let g be 5/y - (0 + (-497)/91). Determine t so that 8/13*t + 2/13*t**2 + g = 0.
-3, -1
Let b = -419 + 421. Find c, given that 40*c - 77*c + b*c**2 + 69*c = 0.
-16, 0
Let i = 5267 + -3640. Let o = -27639/17 + i. Factor -2/17*q**2 - o*q - 50/17.
-2*(q + 5)**2/17
Let v(q) be the third derivative of -q**6/72 + 13*q**5/36 + 65*q**4/9 - 70*q**3 + 3523*q**2. Determine b, given that v(b) = 0.
-7, 2, 18
Let x(y) be the third derivative of -y**5/330 - 27*y**4/11 - 321*y**3/11 - 2939*y**2 + y + 1. Factor x(j).
-2*(j + 3)*(j + 321)/11
Suppose -6 = -6*m + 3*m. Let -2*n**2 + 5*n**4 - n**3 - 5*n**4 + 0*n**m + 4*n**4 + 3*n**5 = 0. What is n?
-1, 0, 2/3
Suppose 12*m - 24 = 10*m. Suppose m = 3*h + h. Determine u so that -17*u**4 + 16*u**4 + u**2 - 5*u + u**h + 0*u**3 + 4*u = 0.
-1, 0, 1
Let q(f) be the first derivative of 21*f**5/5 - 657*f**4/4 + 55*f**3 + 657*f**2/2 - 186*f + 1263. Let q(o) = 0. What is o?
-1, 2/7, 1, 31
Let g(n) be the first derivative of n**6/15 - 3*n**5/10 + n**4/2 - n**3/3 - 24*n + 70. Let o(c) be the first derivative of g(c). Find s such that o(s) = 0.
0, 1
Let y(a) = -14*a**2 + 451*a - 34. Let l(j) = -5*j**2 + 151*j - 12. Let v(s) = -17*l(s) + 6*y(s). Factor v(b).
b*(b + 139)
Let v(b) be the second derivative of -15*b - 5/6*b**4 - 14*b**2 + 0*b**3 - 1/12*b**6 + 0 - 3/4*b**5. Let q(x) be the first derivative of v(x). Factor q(u).
-5*u*(u + 4)*(2*u + 1)
Let q be (74/10)/(-9 - 4568/(-508)). Let j = q + 940. Factor j*g**3 - 3/5*g + 2/5*g**2 + 0.
g*(g - 1)*(g + 3)/5
Let q(b) be the second derivative of -b**4/3 + 74*b**3/3 + 328*b**2 + 996*b. Factor q(i).
-4*(i - 41)*(i + 4)
Find m, given that -m**2 + 798*m + 5*m**2 - 8490 + 1778*m + 423226 = 0.
-322
Let b = 7 + -5. Suppose -106 - 276 = -b*q. What is r in -200 - r**2 - r**2 + 3*r**4 - 16*r**2 + 24*r + q = 0?
-3, 1
Let g(k) be the first derivative of -k**4/6 + 36*k**3 - 2075*k**2 - 55112*k/3 + 3796. Let g(a) = 0. What is a?
-4, 83
Let i be (1 + (-41)/35)/(60/(-200)). Let y(m) = -m**3 + 11*m**2 - 18*m. Let p be y(9). Factor 4/7*n**2 + 8/7*n - i*n**3 + p.
-4*n*(n - 2)*(n + 1)/7
Let x = -379 - -449. Let m be 26/4*(x/130)/7. Determine w, given that m*w**2 + 1/4 + 5/8*w + 1/8*w**3 = 0.
-2, -1
Let f(w) = -w**3 + 8*w**2 - 7*w + 14. Let p be f(7). Suppose -29*v**4 - 32 + 118*v - 21 - 120*v**2 + p + 28*v**4 + 42*v**3 = 0. What is v?
1, 39
Let r(h) be the first derivative of 3*h**5/5 + 24*h**4 + 199*h**3 + 252*h**2 - 2526. Factor r(j).
3*j*(j + 1)*(j + 7)*(j + 24)
Suppose -6828 = 3*f - 5*o, -21*f - 3*o + 9093 = -25*f. Let q = -2266 - f. Find c such that q*c**2 + 0*c + 2*c**3 + 0 + 1/5*c**4 = 0.
-5, 0
Let p = 3/5 + 1/5. Let t be (-4498)/(-3460) - 2/4. Solve -p*l - 12/5 + t*l**3 + 12/5*l**2 = 0.
-3, -1, 1
Let l(c) be the first derivative of 2*c**3/9 - 608*c**2/3 + 184832*c/3 - 358. Factor l(a).
2*(a - 304)**2/3
Let i = -152798 - -764032/5. Determine u so that 48*u - 40 - i*u**2 + 2/5*u**3 = 0.
1, 10
Let w(d) be the second derivative of d**4/72 - 5*d**3/36 - 350*d**2/3 - 7942*d. Factor w(b).
(b - 40)*(b + 35)/6
Let t(s) be the third derivative of -s**6/6 + 8*s**5/5 + 5*s**4/6 - s**2 - 466*s. Factor t(l).
-4*l*(l - 5)*(5*l + 1)
Suppose -2/3*g**5 + 136/3*g**3 - 512/3*g + 32/3*g**2 + 26/3*g**4 - 544/3 = 0. What is g?
-2, 2, 17
Let g(p) be the first derivative of 2*p**5/45 - 86*p**4/3 + 7396*p**3 - 954084*p**2 + 61538418*p - 1141. Factor g(h).
2*(h - 129)**4/9
Let a be (-219)/15 - -2 - 15/(-25). Let v be -2 - ((-17 - a) + (0 - -1)). Let -6/5*j**v + 0 + 4/5*j + 2/5*j**3 = 0. What is j?
0, 1, 2
Let 592 + 76*t**3 + 2672/3*t + 448*t**2 + 1/3*t**4 = 0. Calculate t.
-222, -2
Let y(d) = 3*d**2 + 15*d + 3. Let c(a) = a + 1. Let o be (-4)/3*45/(-6). Suppose o*v = 12*v + 30. Let g(p) = v*c(p) + y(p). Factor g(q).
3*(q - 2)*(q + 2)
Factor 33/4*l**2 + 9/4*l**3 - 9/4 + 15/4*l.
3*(l + 1)*(l + 3)*(3*l - 1)/4
Let s = 78446 - 235330/3. Factor -2/3*x**4 + 10/3*x**3 - 16/3*x**2 + s*x + 0.
-2*x*(x - 2)**2*(x - 1)/3
Suppose 55*y - 44*y - 6347 = 0. Let l = -13255/23 + y. Factor -2/23*s**2 - 32/23 - l*s.
-2*(s + 4)**2/23
Let o be (-25)/3 + 9/(-216)*-8. Let k(f) = -f**2 - 36*f + 3. Let y(q) = -2*q**2 - 106*q + 8. Let x(b) = o*k(b) + 3*y(b). Determine h, given that x(h) = 0.
0, 15
Let v(h) be the second derivative of h**4/102 + 22*h**3/3 + 373*h**2/17 - 104*h. Find j such that v(j) = 0.
-373, -1
Let z = -26335 + 79007/3. Let n(k) be the third derivative of -z*k**3 + 0*k + 1/6*k**5 - 1/15*k**6 + 0 - 27*k**2 + 7/12*k**4. Factor n(a).
-2*(a - 2)*(a + 1)*(4*a - 1)
Let v be 5 + 1 + (-213)/231 - (-650)/(-910). Factor -v - 164/11*d + 14/11*d**2.
2*(d - 12)*(7*d + 2)/11
Let q(y) be the second derivative of -y**7/42 - y**6/10 + y**5/10 + y**4/2 - y**3/6 - 3*y**2/2 - 823*y. Find s such that q(s) = 0.
-3, -1, 1
Suppose 0 = -2*j + 3*h - 9, -4*j + 9 = 2*h + h. Suppose 4*n + 4 - 12 = j. Find d such that 29*d**n + 180*d - 9*d**4 + 2*d**3 - 168*d - 4 - 2*d**2 = 0.
-1, 2/9, 2
Let m be (3 - 23/7) + (-182763)/(-147). Let g = m - 11183/9. Suppose -2/9*w - 2/9*w**2 + g = 0. What is w?
-2, 1
Solve -1347/2*t**2 - 3/4 - 183/4*t + 1533/2*t**3 + 2697/4*t**4 - 2883/4*t**5 = 0 for t.
-1, -1/31, 1
Let y(f) be the third derivative of f**6/720 + f**5/120 + f**4/48 + 89*f**3/6 + 45*f**2. Let n(w) be the first derivative of y(w). Factor n(o).
(o + 1)**2/2
Let f(h) be the third derivative of -h**7/140 + 3*h**6/5 + h**5/40 - 3*h**4 + 7932*h**2. Find u such that f(u) = 0.
-1, 0, 1, 48
Let d(u) be the third derivative of -u**6/80 - 19*u**5/20 - 139*u**4/16 - 51*u**3/2 + 6*u**2 + 69*u + 3. Factor d(x).
-3*(x + 1)*(x + 3)*(x + 34)/2
Let w = -1043 + 1034. Let k = w + 37/4. Factor k*t**3 - 3/4*t + 0 - 1/2*t**2.
t*(t - 3)*(t + 1)/4
Let v = -38 + 62. Let u be v/(-32)*340*(2 + -3). What is a in -252*a**2 + 0*a + 0*a + a**4 + u*a**2 - 5*a**3 + a**5 = 0?
-3, 0, 1
Let g(c) = -4*c**3 - 2*c**2 + c - 1. Let d(o) = -2*o**4 + 116*o**3 - 3062*o**2 + 21006*o - 45006. Let r(a) = d(a) - 6*g(a). Suppose r(k) = 0. What is k?
5, 30
Suppose 0 = 482*r - 1822*r - 76*r - 133 + 2965. Solve -3/5*a**5 + 12/5*a + 3*a**4 - 3*a**r + 0 - 9/5*a**3 = 0.
-1, 0, 1