 2*z**2 + 5*z**q + 36*z**2.
5*z*(z + 1)*(z + 2)**2
Let z = -577/8 - -155/8. Let s = z + 54. Factor 0 - 5*m**4 + 15/2*m**3 + 5/4*m**5 + s*m - 5*m**2.
5*m*(m - 1)**4/4
Let r = -407 + 404. Let d be 4/((r + 7)*(-3)/(-6)). Find v, given that 4/3*v + 8/9*v**d + 4/9 = 0.
-1, -1/2
Let j(i) = -5*i**3 + 17*i**2 + 457*i + 2058. Let t(u) = -44*u**3 + 152*u**2 + 4124*u + 18522. Let v(z) = 52*j(z) - 6*t(z). Factor v(g).
4*(g - 21)*(g + 7)**2
Let u(t) be the second derivative of 5*t**7/147 + 92*t**6/105 + 191*t**5/70 - 2*t**4/3 - 28*t**3/3 - 64*t**2/7 + 365*t. Suppose u(o) = 0. Calculate o.
-16, -2, -1, -2/5, 1
Let v(k) = -7587*k + 91046. Let l be v(12). Find i such that i + 15/2 + 5/3*i**3 - 1/6*i**4 - 14/3*i**l = 0.
-1, 3, 5
Let p(w) be the third derivative of w**8/9240 + w**7/4620 - w**6/396 + w**5/220 - 29*w**3/3 - 4*w**2 - 9. Let y(a) be the first derivative of p(a). Factor y(d).
2*d*(d - 1)**2*(d + 3)/11
Let g(l) = -2*l**2 - 12*l + 58. Let d = -11 + 2. Let t be g(d). Factor 2/5*v**t - 6/5 + 2/5*v**5 - 12/5*v**3 - 22/5*v - 28/5*v**2.
2*(v - 3)*(v + 1)**4/5
Factor -3737 + 383*y**2 - 1859 + 483*y**2 - 7*y**3 - 2092 - 26660*y.
-(y - 62)**2*(7*y + 2)
Let g be (-4)/(1 - 2) + 3411/2. Let m = g - 1707. Suppose 60*h - 55*h**2 - m*h**4 + 20*h**3 - 45/2 = 0. What is h?
1, 3
Let h(n) be the first derivative of -5/3*n**3 - 240*n - 40*n**2 - 184. Suppose h(r) = 0. What is r?
-12, -4
Let r = -70438 - -352192/5. Find g, given that 90 + 12*g + r*g**2 = 0.
-15
Let h(x) be the third derivative of x**7/315 + 7*x**6/72 - x**5/10 - 1217*x**2. Factor h(c).
c**2*(c + 18)*(2*c - 1)/3
Let f(c) = 10*c**2 - 127*c - 36. Let n be f(13). Let l be 7/3 - 2/6. Factor n - 3 + 289*q**l - 4*q**3 - 337*q**2.
-4*q**2*(q + 12)
Let v be 14/2940*-56*((-7)/2 + 1). Determine r, given that 1/3*r**2 + v - r = 0.
1, 2
Let w(y) = y**3 - y - 4. Let t(i) = -i**4 - 19*i**3 + 2*i**2 + 270*i + 24. Let r(s) = -t(s) - 6*w(s). Find l, given that r(l) = 0.
-11, -6, 0, 4
Let f = -704 - -706. Factor 90*o - f*o**2 + 40 - o**2 + 0*o**2 + 0*o**2 + 53.
-3*(o - 31)*(o + 1)
Let n(g) be the third derivative of 1/1470*g**7 + 0 + 0*g**6 + 0*g**4 - 4*g - 18*g**2 - 3/140*g**5 + 0*g**3. Determine c, given that n(c) = 0.
-3, 0, 3
Let t(l) be the third derivative of -l**7/24 - l**6/6 - l**5/8 + 5*l**4/12 - 25*l**3/6 - 25*l**2. Let h(x) be the first derivative of t(x). Factor h(i).
-5*(i + 1)**2*(7*i - 2)
Let r(k) be the second derivative of 1485/4*k**4 + 13851*k**3 + 163/40*k**5 + 1/60*k**6 + 39366*k**2 + 5 + 13*k. Factor r(m).
(m + 1)*(m + 54)**3/2
Let u be (-6)/(-10)*((-90)/(-99))/2. Let g(m) be the first derivative of 0*m + 1/22*m**4 - u*m**2 - 29 + 4/33*m**3. Let g(i) = 0. What is i?
-3, 0, 1
Let d be (-3)/12 - 26/(-8). Let f = -5435 + 5452. Factor -3*l**d + 20*l**3 + f*l**3 + 64*l - 10*l**3 - 20 - 68*l**2.
4*(l - 1)**2*(6*l - 5)
Suppose 1/4*c**3 - 5/8*c**4 + c - 1/8*c**5 - 4 + 7/2*c**2 = 0. Calculate c.
-4, -2, 1, 2
Let d(l) be the first derivative of l**6/120 - l**5/20 + l**4/8 - l**3/6 + 38*l**2 - 22. Let q(c) be the second derivative of d(c). Let q(j) = 0. Calculate j.
1
Suppose 12*d + 442 = 502. Let w(c) be the first derivative of -6 + 1/8*c**4 + 0*c + 1/6*c**3 - 1/4*c**2 - 1/10*c**d. Solve w(o) = 0.
-1, 0, 1
Factor -37*y - 51*y + 1116 - 195*y**2 - 182*y**2 + 373*y**2.
-4*(y - 9)*(y + 31)
Let u(x) be the second derivative of x**7/210 - 4*x**6/15 + 61*x**5/60 - 5*x**4/4 + 57*x**2 + 5*x + 2. Let m(n) be the first derivative of u(n). Factor m(c).
c*(c - 30)*(c - 1)**2
Let i = 374 + -372. Factor -20*q - 12*q**2 - i*q**3 + 17*q - 3*q - 4*q.
-2*q*(q + 1)*(q + 5)
Let j be (-197204)/(-98) - 2/(-14). Let u = 2017 - j. Suppose -46/21*l**3 - 94/21*l**2 + u*l**4 + 24/7*l**5 - 26/21*l - 2/21 = 0. Calculate l.
-1, -1/6, 1
Let k(q) = 77*q**2 + 33*q + 265. Let c be k(-5). Find l, given that 45*l - 1/4*l**2 - c = 0.
90
Let b(j) be the first derivative of -j**3/24 + 149*j**2/16 + 157*j + 10588. Determine a so that b(a) = 0.
-8, 157
Let p be (-2)/(-8)*22*(-10)/(-44). Let b(n) be the first derivative of p*n**4 - 15/2*n**2 + 0*n**3 + 3 + 10*n. Solve b(i) = 0 for i.
-2, 1
Let l(c) be the third derivative of 0*c**3 + 0*c**6 + 0*c - 46*c**2 - 1/24*c**4 - 1/30*c**5 + 0 + 1/336*c**8 + 1/105*c**7. Factor l(d).
d*(d - 1)*(d + 1)**3
Let z(f) = -39*f**3 - 158*f**2 - 20*f - 3. Let k(c) = 272*c**3 + 1104*c**2 + 144*c + 20. Let i(o) = 3*k(o) + 20*z(o). What is m in i(m) = 0?
-4, -2/9, 0
Let i(k) = -k**2 - 1579*k + 7925. Let n be i(5). Factor -16/3*y**2 + 0 + 8/3*y + 1/6*y**n + 4*y**3 - 4/3*y**4.
y*(y - 2)**4/6
Let c(m) = -85*m**2 - 1101*m + 55. Let g be c(-13). Determine x so that 43*x**2 + 24/5*x + 60*x**g + 25*x**4 - 16/5 = 0.
-1, -4/5, 1/5
Solve -10*d**3 - 2*d**5 + 51*d - 2001*d**4 + d**5 + 2006*d**4 - 56*d + 10*d**2 + 1 = 0 for d.
1
Let d(i) be the third derivative of 0*i + 0 - 1/30*i**4 + 11/20*i**3 - 157*i**2 - 1/600*i**5. Factor d(x).
-(x - 3)*(x + 11)/10
Let c be (17 - 18)/((-3)/(12*150)). Factor 270*s**3 - 2*s**4 + 55*s**4 - 5*s**4 + c*s**2 + 375*s + 3*s**5.
3*s*(s + 1)*(s + 5)**3
Suppose -68 = -4*f + 112. Solve 524*q - f*q**5 - 185*q**3 + 413*q**4 - 178*q - 113*q**4 - 83 - 77 + 614*q - 1410*q**2 = 0 for q.
-2, 1/3, 4
Factor -35/3*f + 32 + 1/3*f**2.
(f - 32)*(f - 3)/3
Let m(u) be the first derivative of -5*u**4/4 + 100*u**3/3 - 415*u**2/2 - 520*u + 612. Determine z, given that m(z) = 0.
-1, 8, 13
Let m = 29 + -26. Let z be (m/(-18)*-8)/((-1)/(-3)). Factor 13*o**3 + 35*o + 12*o**3 + 18*o**2 - 5 - 5 - 63*o**2 - 5*o**z.
-5*(o - 2)*(o - 1)**3
Suppose -10*k - k + 55 = 0. Suppose -5*m + k*s = -25, -4*m + 17 = -3*s - 0*s. Factor 5*c**4 - c**4 + 54*c**2 + 62*c**m - 132*c**2.
4*c**2*(c - 2)*(c + 2)
Let z be (-2)/4 + 747/114 + -6. Let u(p) be the first derivative of 2/95*p**5 - 2/19*p**2 + 0*p - 9 + z*p**4 - 2/57*p**3. Determine n so that u(n) = 0.
-2, -1, 0, 1
Let i(z) = -z - 6. Suppose 70*r = 55*r - 240. Let q be i(r). Factor -q*p - 5/2*p**3 + 10*p**2 + 0.
-5*p*(p - 2)**2/2
Let x be (2/(-9) + 6/27)/(-3). Let k be 136/((-8)/(-4)) + x. Suppose -k - 5*g**2 + 43 - 220 + 70*g = 0. What is g?
7
Let k(u) be the second derivative of -11*u**7/273 - 24*u**6/65 - 27*u**5/26 - 49*u**4/39 - 8*u**3/13 + 3317*u. Determine i so that k(i) = 0.
-4, -1, -6/11, 0
Let h(f) be the first derivative of 8/21*f**3 + 40 + 1/14*f**4 + 48/7*f - 29/7*f**2. Suppose h(a) = 0. What is a?
-8, 1, 3
What is i in 1/11*i**5 - 48/11*i**3 + 191/11*i - 2/11*i**4 - 120/11 - 2*i**2 = 0?
-5, -3, 1, 8
Factor 557780 + 679*b + 5*b**2 + 1047*b - 254*b - 226*b + 2094*b.
5*(b + 334)**2
Let o(x) be the first derivative of -x**4/5 + 36*x**3/5 - 93*x**2/2 + 110*x - 188. Solve o(m) = 0.
5/2, 22
Determine v, given that 0 + 7/2*v**2 + 13/4*v + 1/4*v**3 = 0.
-13, -1, 0
Suppose 100 = -35*p + 33*p. Let y = p - -50. Find a such that 0*a - 3*a**2 + y*a + 6*a + 3*a - 6 = 0.
1, 2
Let t(c) = 16*c**2 + 6*c + 22. Let a(o) = -3*o**2 - o - 4. Suppose 5*i - 5*g + 26 = 2*i, -3*g + 12 = 0. Let m(p) = i*t(p) - 11*a(p). What is u in m(u) = 0?
0, 1
Let v(r) be the second derivative of r**6/75 + 21*r**5/25 + 4*r**4 + 118*r**3/15 + 39*r**2/5 - 713*r. Let v(z) = 0. Calculate z.
-39, -1
Let i(h) be the first derivative of -4*h**6/3 - 26*h**5/5 + 77*h**4/2 + 424*h**3/3 - 208*h**2 - 128*h - 616. Determine s, given that i(s) = 0.
-4, -1/4, 1, 4
Let 1060*p**3 - 1224*p**2 + 2416/5*p - 64 - 50*p**4 = 0. Calculate p.
2/5, 20
Let y(l) be the first derivative of -l**3 + 21*l**2 + 1305*l - 3804. Solve y(v) = 0.
-15, 29
Let v = 56/3627 - 5/3224. Let c(b) be the second derivative of -7/36*b**3 + 0 - 43*b + v*b**4 - 2/3*b**2. Factor c(y).
(y - 8)*(y + 1)/6
Let l be ((24/(-18))/2)/((-1)/(-45)). Let z = 32 + l. Suppose -3*n**z - 3*n - 8*n**4 - n**4 + 3*n + 12*n**3 = 0. What is n?
0, 1/3, 1
Let o be (((-60)/10)/3)/((-2)/3). Let i(z) be the third derivative of 1/2*z**4 + 0*z + 5*z**2 + o*z**3 + 0 + 1/30*z**5. Factor i(s).
2*(s + 3)**2
Let f(q) be the first derivative of -q**4/9 + 7660*q**3/9 - 7334450*q**2/3 + 28090943500*q/9 + 25. Factor f(v).
-4*(v - 1915)**3/9
Let a(r) = r - 17. Let o be a(11). Let u be 0 + 4/(-12)*o. Suppose -10*c - 11*c**2 + 4*c**2 + 5*c**3 + 4*c**2 - u*c**2 = 0. Calculate c.
-1, 0, 2
Solve 98*y + 36*y**4 + 17*y - 1 - 144*y**3 - 59*y - 124*y**2 + 1 = 0 for y.
-1, 0, 1/3, 14/3
Suppose -3*q - r = -3*r - 17, 2*q + 4