m).
2*m**2*(m - 1)*(m + 2)/11
Suppose -15*c + 10*c + 1345 = 5*r, r = c + 259. Let d be 1 - 9/r*8. Suppose -d*a + 1/11*a**2 - 9/11 = 0. Calculate a.
-1, 9
Let x(s) = 5*s**2 - 11*s - 2. Let u(k) = -8*k + 41*k - 5 - 21*k - 11*k + 11*k**2 - 24*k. Let t(i) = -2*u(i) + 5*x(i). What is v in t(v) = 0?
0, 3
Let w(u) be the first derivative of u**5/25 + 3*u**4/10 + 4*u**3/5 + 4*u**2/5 + 1983. Let w(a) = 0. Calculate a.
-2, 0
Suppose 0 = 34*t + 18*t - 3900. Factor -80*k**3 + 10*k + 154*k**3 + 9*k**2 - t*k**3.
-k*(k - 10)*(k + 1)
Factor -1/2*p**2 + 145 - 19/2*p.
-(p - 10)*(p + 29)/2
Let m = -1098310 - -3294958/3. Determine c so that 26/3*c + 2/3*c**5 - m*c**3 - 2*c**4 - 10 + 12*c**2 = 0.
-3, -1, 1, 5
Suppose -10 = -s - u, 4*s + 0*u + u = 25. Let n(r) = 12*r + 38. Let b be n(-3). Factor 59*w**4 + 15*w - 44*w**4 - w**2 - s*w**5 - 5*w**b - 4*w**2 - 5 - 10*w**3.
-5*(w - 1)**4*(w + 1)
Let i = -1725 + 1716. Let o be 1*21 + i*12/(-36). Suppose -o*k + 60*k**2 + 16/5 - 50*k**3 = 0. Calculate k.
2/5
Let l(k) = -12*k + 25. Let u be l(5). Let n = u + 39. Solve 8*v**3 + 5*v**2 + 123*v**n - 127*v**4 + 7*v**2 = 0 for v.
-1, 0, 3
Let h(w) be the first derivative of w**5/20 + 11*w**4/8 - 47*w**3/3 + 213*w**2/4 - 261*w/4 + 910. Factor h(p).
(p - 3)**2*(p - 1)*(p + 29)/4
Let d(j) = j**3 - 75*j**2 - 152*j - 151. Let h be d(77). Let v(y) be the first derivative of 0*y + 1/6*y**2 - 1/36*y**h - 1. Factor v(l).
-l*(l - 4)/12
Let h be ((-3804)/(-72))/(2/(-18)). Let g = h + 476. Factor 18*v**2 + 0 + 0*v - 6*v**3 + g*v**4.
v**2*(v - 6)**2/2
Let f(k) = -k**4 - k**3 - k**2 - 2*k. Let r(o) = -7*o**4 + 4*o**3 + 25*o**2 - 100*o + 48. Let g(m) = -6*f(m) + r(m). Find p such that g(p) = 0.
-4, 1, 12
Let v(h) be the third derivative of h**6/360 - 8*h**5/9 + 6557*h**4/72 - 6241*h**3/9 + 787*h**2. Factor v(q).
(q - 79)**2*(q - 2)/3
Let c be (-127935)/(-15336) + -9 - (-4)/6. Let i = c + 1121/1704. Factor 2/3*z**4 - i*z + 2/3*z**3 + 4/3 - 2*z**2.
2*(z - 1)**2*(z + 1)*(z + 2)/3
Let k be (((-19)/171)/((-20)/(-48)))/(3/(-40)). What is x in 16/9*x**3 + 0 + k*x**4 - 10/3*x**2 - 2*x = 0?
-3/4, 0, 1
Let k = -7548 + 7548. Factor k - 3/8*y**3 - 1/4*y + 1/2*y**4 - 9/8*y**2.
y*(y - 2)*(y + 1)*(4*y + 1)/8
Suppose -22*l + 30 = -7*l. Find x such that -100*x**l + 49*x**2 + 50*x**2 - 14*x + 94*x - 1600 = 0.
40
Let n(i) be the second derivative of i**4/78 - 49*i**3/39 + i + 546. Factor n(f).
2*f*(f - 49)/13
Suppose 7*c = 36 - 8. Factor 2*b**2 + 2*b**5 + 24*b + 0*b**c - 22*b**2 + 2*b**5 + 20*b**4 - 28*b**3.
4*b*(b - 1)**2*(b + 1)*(b + 6)
Let z(r) = -r**2 - r. Let l(j) = 14*j**2 + 40*j + 24. Let g(u) = u**2 + 2. Let y(s) = 6*g(s) + l(s). Let f(q) = 2*y(q) + 36*z(q). Find a such that f(a) = 0.
-9, -2
Let k(a) be the third derivative of -a**6/480 - 89*a**5/20 - 7921*a**4/2 - 5639752*a**3/3 - 101*a**2 + 3*a. Suppose k(x) = 0. What is x?
-356
Suppose -24*k + 35*k = 55. Let q(x) be the first derivative of -14 - 15/2*x**4 - 3/5*x**k - 33*x**3 - 60*x**2 - 48*x. Factor q(j).
-3*(j + 1)**2*(j + 4)**2
Factor -10 - 2*j**4 - 14 - 2*j**2 + 4*j**2 - 21*j + 15*j - 28*j + 10*j**3.
-2*(j - 4)*(j - 3)*(j + 1)**2
Factor -1518525 - 2568*g - g**2 + 846865 - 976996.
-(g + 1284)**2
Let c(g) be the second derivative of g**4/24 + 17*g**3/6 + 66*g**2 + 304*g. Factor c(d).
(d + 12)*(d + 22)/2
Let i(d) be the third derivative of 22/3*d**4 - 66*d**2 - 8/15*d**5 + 1 - 1/30*d**6 - 32*d**3 + 0*d. Factor i(c).
-4*(c - 2)**2*(c + 12)
Let m(t) be the first derivative of -8*t**3 + 22 - 2/5*t**5 - 8*t**2 - 3*t**4 + 0*t. Factor m(x).
-2*x*(x + 2)**3
Let z(y) be the third derivative of y**5/12 + 115*y**4/12 + 455*y**3/2 + 259*y**2 - 3*y - 2. Find m, given that z(m) = 0.
-39, -7
Suppose 31 = 29*k - 30*k. Let p be (-2 + 4)/(-2) - (k + 2). Factor 32*i - 4*i**3 - p - 4*i**2 - 40 + 116.
-4*(i - 3)*(i + 2)**2
Let m be (50/6 - 3)*(-1 + -5). Let z = m + 27. Let g(t) = 5*t. Let w(q) = q**2 + 6*q + 1. Let c(h) = z*w(h) + 4*g(h). Determine v so that c(v) = 0.
-1
Let p = -1000998 + 1001038. Factor 112/3 - p*f + 12*f**2 - 2/3*f**3.
-2*(f - 14)*(f - 2)**2/3
Let n = -90 + 94. Suppose 6*b - 2*b - v = 12, -v = n*b - 20. Determine u, given that 2/3*u**b + 8/3*u**3 + 2*u**2 - 8/3 - 8/3*u = 0.
-2, -1, 1
Suppose -4*l + 11 = 3. Let k be (-101)/(-9) - 1 - (-138)/(-621). Factor -k + 30*u**3 - 15*u**3 + 38*u + 7*u - 50*u**l.
5*(u - 2)*(u - 1)*(3*u - 1)
Let -2284/9*s**2 + 2*s**4 - 2/9*s**5 - 1078 + 52/3*s**3 + 2786/3*s = 0. What is s?
-11, 3, 7
Let l(u) be the first derivative of u**5/75 + 8*u**4/15 + 128*u**3/15 + 43*u**2/2 + 15. Let d(q) be the second derivative of l(q). Let d(x) = 0. Calculate x.
-8
Let y = 679373/4755513 - 2/679359. Factor 0 + 1/7*v**3 + 0*v**2 - y*v.
v*(v - 1)*(v + 1)/7
Suppose -2342*b + 2341*b + 3*t - 30 = 0, -5*t + 50 = 2*b. Let -5/2*z**2 + 5/4*z**3 + b - 15/4*z = 0. What is z?
-1, 0, 3
Suppose t - 5*t = -64. Factor 182*u**2 - 4*u**3 - 8 - 192*u**2 + 2*u**3 - t*u.
-2*(u + 1)*(u + 2)**2
Let j(g) be the second derivative of -g**4/8 + 177*g**3/2 - 93987*g**2/4 + 3*g + 88. Factor j(u).
-3*(u - 177)**2/2
Let d(q) = -18*q + 184. Let b be d(9). Factor b + 310*g**2 - 618*g**2 + 9*g + 307*g**2.
-(g - 11)*(g + 2)
Let i = 7 - -70. Suppose -i*j - 3*j**2 + 2 - 2 + 92*j = 0. Calculate j.
0, 5
Let k be 12*(-9)/(-12) + (1 - 0). Suppose 0 = -22*u + 27*u + k, -u - 22 = -4*b. What is r in 3/4*r**3 + 0*r + 3/4*r**4 - 3/4*r**2 + 0 - 3/4*r**b = 0?
-1, 0, 1
Let s(b) = -b**4 + b**3. Let c(h) = -18*h**4 + 6*h**3. Let y = -1325 - -1310. Let k = 8 + -7. Let u(g) = k*c(g) + y*s(g). Suppose u(v) = 0. Calculate v.
-3, 0
Let s = -12743905 + 27029823097/2121. Let b = s + 2/303. Let 0*g**2 + 0*g + 6/7*g**4 + 0 - b*g**5 + 8/7*g**3 = 0. Calculate g.
-1, 0, 4
Let w(r) be the second derivative of 1/16*r**4 + 38*r - 1 - 3/4*r**2 + 7/24*r**3. What is f in w(f) = 0?
-3, 2/3
Suppose 0 = -4*r + 14 + 6. Suppose -2*c - 2*c + r*s + 22 = 0, 2*c + s - 4 = 0. Factor -15*a**4 + 24*a**c - 7*a**2 - 5*a**2 + 21*a**5 - 18*a**5.
3*a**2*(a - 2)**2*(a - 1)
Let k = 339975 + -1699874/5. Factor 0 + k*a**2 - a**3 + 2/5*a**4 + 2/5*a.
a*(a - 2)*(a - 1)*(2*a + 1)/5
Suppose -52 = -3*y - 19. Suppose -y*r = -16*r + 40. Find w, given that 2*w**3 - 10*w + w**2 + r*w + 4 - 5*w**2 = 0.
-1, 1, 2
Let l(x) be the first derivative of 2*x**3/45 - 491*x**2/15 - 1972*x/15 + 4582. Factor l(v).
2*(v - 493)*(v + 2)/15
Let r(j) = -9*j**2 + 32*j + 19. Let m be r(4). Let p(g) be the third derivative of 0*g + 0 + 0*g**4 + 17*g**2 + 0*g**m + 1/80*g**5. Solve p(t) = 0.
0
Let r(s) = 2*s**3 - 2*s**2 - 8*s - 16. Let j be 4 + 144/78 - (-6)/39. Let g(k) = 4*k**3 - 4*k**2 - 18*k - 32. Let b(i) = j*g(i) - 11*r(i). Solve b(t) = 0 for t.
-2, -1, 4
Let n = -63 - -65. Suppose -n*r + 61 + 29 = 0. Suppose 17*m - 2*m**4 - 10*m**4 - 15*m**3 + 43*m + 12 + r*m**2 = 0. Calculate m.
-2, -1, -1/4, 2
Let n(h) = -11*h**3 + 2*h**2 + 3*h - 8. Let m be n(5). Let k = -2633/2 - m. Factor 2*w + 1/2*w**2 + k.
(w + 1)*(w + 3)/2
Suppose -s - 561600 = -13*s. Suppose -w - 14*w + s = 0. Factor -2204 - w + 4*v**3 + 896*v**2 - 1028*v**2 + 1452*v.
4*(v - 11)**3
Let p = 1072449176 - 4954715222693/4620. Let d = -1/924 - p. What is k in 4*k**2 + 16/5 - 4/5*k**3 - d*k = 0?
1, 2
Let r be ((-132)/(-30))/(0 - 2/10). Let q = 27 + r. Determine v so that -6*v**5 + 6*v**3 - 4*v**q + 4*v**2 + 12*v**5 + 6*v**4 - 2*v**2 = 0.
-1, 0
Let v(k) be the second derivative of 7*k**4/3 - 1170*k**3 - 1004*k**2 - 12*k + 12. Factor v(i).
4*(i - 251)*(7*i + 2)
Suppose 4*i + 100 = 9*i. Suppose -7*r**3 + r**3 - 21*r + 2 + 9*r**3 - i = 0. Calculate r.
-2, -1, 3
Let v(b) be the second derivative of b**4/12 - 163*b**3/6 + 161*b**2 - b + 98. Suppose v(l) = 0. What is l?
2, 161
Let k(u) be the first derivative of u**4/2 - 424*u**3/3 + 421*u**2 - 420*u + 1620. Factor k(d).
2*(d - 210)*(d - 1)**2
Factor 2/17*v**3 + 20/17*v**2 + 0 + 48/17*v.
2*v*(v + 4)*(v + 6)/17
Let u(a) be the second derivative of 1/66*a**4 + 3*a - 14/11*a**2 + 9 - 13/33*a**3. Factor u(o).
2*(o - 14)*(o + 1)/11
Let x(y) be the first derivative of 0*y**2 + 1/1980*y**6 + 0*y + 6 - 1/330*y**5 - 16/3*y**3 + 1/132*y**4. Let c(u) be the third derivative of x(u). Factor c(v).
2*(v - 1)**2/11
Let y = 7522 + -7522. Let g(k) be the second derivative of y - 2/9*k**4 + 0*k**3 + 0*k**2 + 1/5*k**5 - 2/45*k**6 - 22*k. Factor g(h).
-4*h**2*(h - 2)*(h -