**2/5 - 18*m/5 + 802. Suppose s(d) = 0. Calculate d.
-3, -1, 3
Let j(c) be the second derivative of c**6/72 + 19*c**5/6 + 1805*c**4/6 + c**3/3 - 171*c**2/2 - c - 9. Let i(d) be the second derivative of j(d). Factor i(m).
5*(m + 38)**2
Let m be (-384)/(-80)*15/6. Factor -9*z**2 - 8*z**2 + 40*z**2 - m*z**2 + 18*z - 8*z**2.
3*z*(z + 6)
Suppose 60*x + 0 + 585/2*x**3 - 335*x**2 - 45/2*x**5 + 5*x**4 = 0. What is x?
-4, 0, 2/9, 1, 3
Let h(j) be the second derivative of 0*j**2 + 1/168*j**7 - 4*j + 1/8*j**4 - 3 + 1/15*j**6 + 13/80*j**5 + 0*j**3. Factor h(u).
u**2*(u + 1)**2*(u + 6)/4
Let c(j) be the first derivative of -j**5/120 - 5*j**4/48 - j**3/3 - 3*j**2/2 + 97. Let m(r) be the second derivative of c(r). Let m(x) = 0. Calculate x.
-4, -1
Let g(r) be the first derivative of -r**7/42 - r**6/9 - 3*r**5/20 - r**4/18 - 78*r + 110. Let w(q) be the first derivative of g(q). Solve w(b) = 0 for b.
-2, -1, -1/3, 0
Let y(m) = m**2 + 52*m + 442. Let q be y(-45). Suppose -q*h + 18 = -121*h. Solve 3*l**h + 3/2*l**2 + 3/8*l**5 + 15/8*l**4 + 0 + 0*l = 0.
-2, -1, 0
Suppose 0 = 2*m - 5*f + 34, 0*f = 2*m - 3*f + 30. Let z be (m - -10)*1/(-1). Solve 2*u**z + 4*u**3 + 2*u - u**2 - 3*u**3 + 2*u**2 = 0.
-2, -1, 0
Let u be (-77)/(-15) + (0 - 5). Let a(k) be the first derivative of 4 - 8/5*k + u*k**3 - 3/5*k**2. Find i, given that a(i) = 0.
-1, 4
Solve 3/4*v**5 - 21/2*v**3 - 29*v**4 + 0 + 29*v**2 + 39/4*v = 0 for v.
-1, -1/3, 0, 1, 39
Let w be -28 - (-91)/(5733/1890). Factor -2/5*k**3 + 0*k - 66/5*k**w + 0.
-2*k**2*(k + 33)/5
Determine a, given that -28/3*a**2 + 1/6*a**3 + 161/6*a - 53/3 = 0.
1, 2, 53
Let r(p) = -p**5 + p**3 + p**2 - p + 1. Let v(k) = 7*k**5 - 85*k**3 + 158*k**2 + 4*k - 4. Let d(m) = -4*r(m) - v(m). Factor d(b).
-3*b**2*(b - 3)**2*(b + 6)
Let r(g) be the second derivative of g**4/6 - 382*g**3 + 328329*g**2 - 3455*g. Find d, given that r(d) = 0.
573
Let g(j) = 46*j - 149. Let h be g(11). Suppose -h*d**2 + 25*d**3 - 24*d - 72 - 7*d**3 + 403*d + 23*d + 9*d**3 = 0. Calculate d.
2/9, 1, 12
Let f be ((-1624)/(-84) + -19)/(1/(16 + -1)). Factor d**3 + 1/2*d**f + 0*d**2 + 0*d + 0 - 3/2*d**4.
d**3*(d - 2)*(d - 1)/2
Let u(d) be the second derivative of 9/16*d**4 - 3/8*d**2 + 7/80*d**5 + 2 + 119*d + 17/24*d**3. Let u(p) = 0. What is p?
-3, -1, 1/7
Let q(r) = -r**2 - 5*r + 3. Let j be q(-5). Let y(m) = -3*m + 16. Let z be y(j). Suppose z*g**2 - 4*g - 12 + 2*g**3 - g**3 + 5*g**2 + 3*g**3 = 0. Calculate g.
-3, -1, 1
Let p(j) be the first derivative of 3*j**4/32 + 21*j**3/4 + 927*j**2/16 - 132*j + 6055. Let p(u) = 0. What is u?
-32, -11, 1
Let k = 17533 + -13798465/787. Let g = 2373/1574 - k. Factor 1/2*h**2 + 0 - g*h.
h*(h - 3)/2
Let s be (-1*3)/(2 - 12/4). Suppose -5*w = -s*w + 4*w. Find l, given that 4/5*l**2 + 4/5*l**3 + w + 0*l = 0.
-1, 0
Let x(p) be the second derivative of 4*p - 1/77*p**7 - 3/55*p**5 + 3/11*p**3 - 3/11*p**2 + 3/55*p**6 - 1/11*p**4 - 11. Factor x(m).
-6*(m - 1)**4*(m + 1)/11
Let q(b) be the second derivative of -b**4/12 - 27*b**3 - 477*b**2/2 - 76*b + 5. Let q(z) = 0. What is z?
-159, -3
Let d be 8/32 + (-93)/(-12). Suppose -q = q - d. Factor 0*p**2 + 7*p**3 - 14*p**3 + 5*p**3 - q*p**2.
-2*p**2*(p + 2)
Let g(v) be the third derivative of v**6/900 - 52*v**5/225 - 2*v**2 - 153*v. Let g(h) = 0. Calculate h.
0, 104
Let y be 88/(-15)*-69 + 1/5. Suppose n**3 + 12*n**2 - 38*n**2 - y*n + n**3 + 377*n = 0. What is n?
-1, 0, 14
Let n be (-2)/5 + (-10)/(-14)*-21 + 87/5. Factor 36/7*i**n + 16/7 + 2/7*i**4 - 40/7*i - 2*i**3.
2*(i - 2)**3*(i - 1)/7
Let s(y) be the third derivative of 11/245*y**7 - 11/70*y**5 + 0 + 1/20*y**6 + 33*y**2 - 9/392*y**8 + 0*y**3 + 1/14*y**4 + 0*y. Suppose s(o) = 0. Calculate o.
-1, 0, 2/9, 1
Let f(h) = h**2 + h - 1. Let u = 47 - 30. Let p = -16 + u. Let l(x) = 3*x**2 + 6*x - 3. Let t(g) = p*l(g) - 6*f(g). What is v in t(v) = 0?
-1, 1
Let q(v) be the first derivative of -4 + 2*v**3 + 13/2*v**2 - 13*v - 3/2*v**4. Let p(j) = -3*j**3 + 3*j**2 + 6*j - 6. Let b(c) = -7*p(c) + 3*q(c). Factor b(g).
3*(g - 1)**2*(g + 1)
Let q(n) be the first derivative of -1/42*n**6 - 5/21*n**3 + 9/28*n**4 + 0*n**2 - 3/35*n**5 + 0*n - 92. Factor q(z).
-z**2*(z - 1)**2*(z + 5)/7
Let l(z) be the second derivative of 2 - 2*z**2 - 13/9*z**3 + 79*z + 5/18*z**4. Solve l(q) = 0.
-2/5, 3
Let d(a) = 2*a**2 + 3*a - a**3 - a + 1 - 3*a**2 - 2. Let f(k) = -6*k**3 + 68*k**2 - 856*k + 3452. Let p(v) = 4*d(v) - f(v). Solve p(s) = 0.
12
Suppose 24*s - 4*w = 20*s - 5780, -s = 3*w + 1461. Let m = 5797/4 + s. Find q, given that -q**3 + 1/2*q**2 + q - 3/4 + m*q**4 = 0.
-1, 1, 3
Factor -56/3*j**4 - 214/3*j**3 - 1/3*j**5 - 209/3*j - 316/3*j**2 - 52/3.
-(j + 1)**4*(j + 52)/3
Let q(l) = -84*l**3 + 4744*l**2 + 9504*l + 32. Let o(p) = -13*p**3 + 730*p**2 + 1462*p + 5. Let x(u) = -32*o(u) + 5*q(u). Factor x(s).
-4*s*(s - 92)*(s + 2)
Let p be 35/(-14)*(2 - 18/15). Let y(n) = 2*n**2 - n - 7. Let h be y(p). What is k in 3*k**4 - k**h + 14 - 7 - 3 + k**5 - 7*k**2 = 0?
-2, -1, 1
Let u(a) be the first derivative of 2*a**5/5 - 13*a**4/2 - 38*a**3/3 + 73*a**2 - 84*a - 757. Factor u(f).
2*(f - 14)*(f - 1)**2*(f + 3)
Determine a, given that 32*a - 832/7 - 4/7*a**2 = 0.
4, 52
What is y in 0 + 74/15*y**2 + 28/3*y + 2/15*y**3 = 0?
-35, -2, 0
Suppose 4328*c - 4249*c = 237. Find f, given that 0 + 3/5*f**c + 66/5*f + 39/5*f**2 = 0.
-11, -2, 0
Let o be 3 + -4*(-35)/(-28)*-1. Suppose 0 = 4*k - o, -3*g - 22 = -k - 26. Solve 2/5*h**2 - g + 8/5*h = 0.
-5, 1
Let d be (1/(-1))/((-40)/(-16) - 3). Find m, given that -78*m - 3*m**3 + 52 + 2*m**d + 20 + 11*m**2 + 14*m**2 = 0.
2, 3, 4
Let o = 4203 + -189133/45. Let u(q) be the third derivative of -4/45*q**3 + 0 + o*q**4 + 0*q - 1/300*q**6 + 28*q**2 - 1/450*q**5. Let u(l) = 0. Calculate l.
-2, 2/3, 1
Suppose -11*c = -8*c + 5*j + 4, -4*c = -3*j - 14. Find q, given that 30*q - 5*q**5 - 65*q**c + 35*q**3 - 102*q**4 + 50*q**4 + 57*q**4 = 0.
-3, 0, 1, 2
Let u(t) be the first derivative of 0*t**2 - t**3 + 1/4*t**4 + 0*t + 13. Suppose u(b) = 0. What is b?
0, 3
Let w(p) = 21*p**3 - 1530*p**2 - 330. Let c(a) = -4*a**3 + 306*a**2 + 60. Let q(s) = -11*c(s) - 2*w(s). Factor q(v).
2*v**2*(v - 153)
Let k(a) be the first derivative of a**3/4 - 561*a**2/8 + 279*a/2 - 8617. Determine j so that k(j) = 0.
1, 186
Let k(t) be the third derivative of -t**5/570 - 175*t**4/228 + 176*t**3/57 + 750*t**2. Factor k(z).
-2*(z - 1)*(z + 176)/19
Suppose 2*n + 3*z = -89, n - 3*z + 8 + 14 = 0. Let i = 40 + n. Solve -8*j**3 + 44*j**2 - 46*j**2 + i*j - 3*j - 6*j**4 = 0 for j.
-1, -1/3, 0
Suppose 50*n**3 - 24*n**4 - 7*n**4 - n**4 + 8*n**5 - 148*n**3 + 244*n**2 + 22*n**4 - 144*n = 0. Calculate n.
-4, 0, 1, 2, 9/4
Suppose -48*d + 95*d = 48*d - 15, 0 = 3*y + 4*d - 66. Factor 14*o - 12*o**4 - 124/3*o**y - 2/3*o**5 + 0 + 40*o**3.
-2*o*(o - 1)**3*(o + 21)/3
Let v(p) be the first derivative of -2*p + 7/9*p**3 + 1/6*p**2 - 1/12*p**4 - 1/15*p**5 + 25. Determine n, given that v(n) = 0.
-3, -1, 1, 2
Factor -984*a**2 - 4*a**3 + 142825 - 383*a + 260*a**2 + 1847*a - 142825.
-4*a*(a - 2)*(a + 183)
Let z(g) be the third derivative of g**6/60 + 17*g**5/15 + 31*g**4/12 - 22*g**3 - 3281*g**2. Factor z(f).
2*(f - 1)*(f + 2)*(f + 33)
Let a(t) be the first derivative of -t**5 - 8615*t**4/4 - 6817. Let a(f) = 0. What is f?
-1723, 0
Let n(l) be the second derivative of l**4/48 + 9*l**3/8 + 25*l**2/4 + 41*l + 5. Suppose n(f) = 0. Calculate f.
-25, -2
Let y(l) be the third derivative of l**5/60 - l**4/4 + 4*l**3/3 - 2271*l**2. Determine m so that y(m) = 0.
2, 4
Let j(c) = -c**2 - 201*c - 371. Let l(p) = 50*p + 94. Let z(u) = 2*j(u) + 9*l(u). Factor z(n).
-2*(n - 26)*(n + 2)
Let m(a) = a**2 - 20*a + 22. Let d be m(19). Find j, given that 5*j**2 - j**4 + 8834*j**3 + 2*j**4 - 8840*j**d = 0.
0, 1, 5
Let f(m) = 75*m**2 + 3148*m + 817460. Let p(y) = 47*y**2 + 2098*y + 544973. Let l(z) = -5*f(z) + 8*p(z). Factor l(x).
(x + 522)**2
Let h(u) be the first derivative of u**6/24 - 13*u**5/4 + 68*u**4 - 256*u**3/3 - 358. Factor h(l).
l**2*(l - 32)**2*(l - 1)/4
Let p(c) be the first derivative of -4*c**5/5 - 18*c**4 - 128*c**3 - 284*c**2 - 252*c + 917. Factor p(m).
-4*(m + 1)**2*(m + 7)*(m + 9)
Solve -502*w**2 + 283*w - 3*w**5 + 486*w + 90*w**2 - 256*w - 416*w**2 - 36*w**4 + 354*w**3 = 0.
-19, 0, 1, 3
Let l(o) be the first derivative of 