o + n + 15*o + 84*o**2 - 9*o + 34*o = 0.
-3/7, -1/3
Factor 515*a - 1175*a**2 + 219 + 2353*a**2 - 1177*a**2 + 807.
(a + 2)*(a + 513)
Let m(v) = -v**3 - 2*v**2 + 20*v + 6. Let t be m(-6). Factor 5*a**4 + 0*a**4 - 10*a**4 + t*a**2 - 5*a**3.
-5*a**2*(a - 2)*(a + 3)
Suppose -2*d - 6 = 3*m, d - 5*d = m + 2. Suppose 3*l - 12*l**2 + 9*l**3 + 8*l + d*l + 3*l**5 + 12*l**4 - 23*l = 0. What is l?
-2, -1, 0, 1
Factor -104 - 168 - 51*z**2 - 77*z - 7*z + 27*z**2 + 20*z**2.
-4*(z + 4)*(z + 17)
Let -37/2*g**3 + 84*g**2 - 155/2*g + 5/4*g**4 - 725/4 = 0. What is g?
-1, 5, 29/5
Let j(h) be the second derivative of 47*h - 1/30*h**6 + 1/10*h**5 + 1/4*h**4 + 0*h**2 + 0*h**3 + 0. Find k, given that j(k) = 0.
-1, 0, 3
Let r(h) be the second derivative of -h**4/48 - 113*h**3/24 + 57*h**2/4 + 174*h + 3. Suppose r(q) = 0. What is q?
-114, 1
Let j(s) = 2*s**2 - 2*s. Let p(c) = -9*c**2 + 50*c + 322. Let h(f) = 5*j(f) + p(f). Let l be h(-29). Factor 51/4*b**2 + 9/4 - 12*b - l*b**3.
-3*(b - 3)*(b - 1)*(4*b - 1)/4
Let q be (4*1/5)/((-4)/(-58010)). Solve -16*z + 40 + 11604*z**2 - q*z**2 + 58*z = 0 for z.
-20, -1
Factor 39479*o + 39015*o - 81459*o + 5*o**2.
5*o*(o - 593)
Let o(v) be the first derivative of -v**6/1440 + 19*v**5/240 - 361*v**4/96 + v**3 + 2*v - 234. Let h(y) be the third derivative of o(y). Solve h(u) = 0.
19
Find p, given that -5/4*p**3 - 8 + 5*p + 3/2*p**2 + 1/8*p**4 = 0.
-2, 2, 8
Let c(p) be the third derivative of -p**5/210 - 599*p**4/42 - 358801*p**3/21 - 2*p**2 - 528. Solve c(r) = 0.
-599
Let a = 13786 - 13784. Factor 2/3*b + 8 - 2/3*b**a.
-2*(b - 4)*(b + 3)/3
Let m(d) be the first derivative of -2*d**5/65 + d**4 - 16*d**3/13 - 2074*d**2/13 - 4046*d/13 - 335. Suppose m(a) = 0. What is a?
-7, -1, 17
Let w(p) be the third derivative of p**6/40 + 951*p**5/20 - p**4/8 - 951*p**3/2 + 3*p**2 + 903. Let w(a) = 0. What is a?
-951, -1, 1
Suppose 6912*f - 4*t = 6918*f - 90, 4*f - 2*t + 10 = 0. Find n, given that -f*n**2 + 0 + 0*n + 1/2*n**3 = 0.
0, 10
Let 15*c**4 + 303*c**2 + 72 + 28 - 7*c**4 - 103*c**3 - 301*c - 7*c**4 = 0. What is c?
1, 100
Let z(s) be the second derivative of -2*s**5/35 - 17*s**4/42 - 23*s**3/21 - 10*s**2/7 + 51*s + 3. Factor z(u).
-2*(u + 1)*(u + 2)*(4*u + 5)/7
What is o in -5/2*o**3 + 1/2*o**4 - 85 - 183/2*o**2 - 347/2*o = 0?
-10, -1, 17
Suppose 44 = -2*x - 5*t, -2*x + t = -3*x - 25. Let g be (1/x)/((-23)/69). Determine o, given that g*o**4 + 1/9*o**3 - 1/9*o + 0 - 1/9*o**2 = 0.
-1, 0, 1
Let v be -4 + 203/35 + 1/5. Let q(n) be the second derivative of 1/5*n**5 - 14*n + 2/3*n**4 + 0*n**2 - v*n**3 + 0. Factor q(z).
4*z*(z - 1)*(z + 3)
Suppose -1131*y = -1124*y + 987. Let c = y - -144. Factor 6/11*i + 10/11*i**c + 14/11*i**2 + 0 + 2/11*i**4.
2*i*(i + 1)**2*(i + 3)/11
Let n(m) be the second derivative of 5*m**7/42 - m**6/2 - 33*m**5/2 - 545*m**4/6 - 425*m**3/2 - 495*m**2/2 - 55*m - 1. Suppose n(k) = 0. Calculate k.
-3, -1, 11
Let u(s) be the first derivative of 57 + 2*s - 7/8*s**2 - 17/12*s**3 - 1/8*s**4. Factor u(t).
-(t + 1)*(t + 8)*(2*t - 1)/4
Let m be ((12/(-42))/((-1)/7))/(-21 - -421). Let h(d) be the second derivative of 20*d + 0 + 1/60*d**4 + m*d**5 - 1/10*d**2 - 1/60*d**3. Factor h(x).
(x - 1)*(x + 1)*(x + 2)/10
Factor 1248/17*t - 1352/17 + 2/17*t**3 + 6*t**2.
2*(t - 1)*(t + 26)**2/17
Let d(u) be the first derivative of -u**6/120 - 3*u**5/80 - u**4/16 - u**3/24 + 8*u - 67. Let p(a) be the first derivative of d(a). Find n, given that p(n) = 0.
-1, 0
Let j = -208 + 1075. Let y = -7781/9 + j. Let -34/9*c**3 - y*c + 10/9*c**4 + 14/3*c**2 + 4/9 = 0. What is c?
2/5, 1
Let t(s) = s**3 + 18*s**2 + 10*s + 3. Let r be t(0). Factor -3/2*u - r*u**3 + 15/4*u**2 + 3/4*u**4 + 0.
3*u*(u - 2)*(u - 1)**2/4
Let g(d) be the first derivative of 7/27*d**6 - 2/9*d**4 + 0*d**3 + 0*d + 0*d**2 + 72 + 8/15*d**5. Determine m, given that g(m) = 0.
-2, 0, 2/7
Let b = -19907/20 - -4978/5. Find z, given that -1/4*z + b*z**3 + 0*z**2 + 0 = 0.
-1, 0, 1
Factor -3430118 + j**2 - 20891*j + 15581*j + 10479143.
(j - 2655)**2
Let m = -152 + 236. Suppose -1 - m = -5*x. Factor -2*j**2 - x*j + 10*j + 24 - j**2 - 14*j.
-3*(j - 1)*(j + 8)
Let f(g) be the first derivative of -138 + 0*g**3 + 0*g**2 + 1/8*g**4 - 5/8*g**6 + 0*g + 7/20*g**5. Solve f(l) = 0.
-1/5, 0, 2/3
Suppose -a - 24*w = -25*w - 6, 0 = -2*a - 2*w + 28. Let p(b) be the second derivative of 0 - 50/3*b**3 - 125/12*b**4 + 16*b - a*b**2. Factor p(u).
-5*(5*u + 2)**2
Let v be 5/((-150)/(-16)) + -106*88/(-3498). Find a such that -2/15*a**2 + 4/3*a + v = 0.
-2, 12
Let s(u) = 16*u**2 - 3*u + 6. Let h be s(2). Factor -3 - h*x - x**2 - x**3 + 129*x - 72*x - 4*x**2.
-(x + 1)**2*(x + 3)
Let i(c) be the first derivative of c**4/36 - 4*c**3/3 + 22*c**2/3 + 45*c + 159. Let t(q) be the first derivative of i(q). Factor t(g).
(g - 22)*(g - 2)/3
Suppose -70*m = -66*m + 28. Let r be (1/(m/(-2)))/((-44)/(-308)). Factor 0*z + 0*z**r + 1/2*z**3 + 0.
z**3/2
Let v(m) = -11*m**2 + 12*m + 5. Let o(t) = 20*t**2 - 22*t - 9. Let z(x) = 6*o(x) + 11*v(x). Determine y, given that z(y) = 0.
-1, 1
Let y = 65/314 - -46/157. Factor 1/4*s + y - 1/2*s**2 - 1/4*s**3.
-(s - 1)*(s + 1)*(s + 2)/4
Suppose 43 = 5*x - 337. Let m = 70 - x. Let s(j) = j**3 + j - 1. Let p(t) = -2*t**3 - 18*t**2 + 2*t - 6. Let c(v) = m*s(v) + p(v). Determine h so that c(h) = 0.
-2, -1/4, 0
Factor -32 - 30*o**4 + 76*o - 54*o**2 - 36*o**4 - 35*o**4 - 27*o**4 + 8*o**3 + 130*o**4.
2*(o - 2)*(o - 1)**2*(o + 8)
Let 1/5*p**2 - 70*p + 0 = 0. Calculate p.
0, 350
Let c(t) be the first derivative of 3/100*t**5 + 0*t**2 + 1/10*t**4 + 8*t - 15 - 1/50*t**6 + 0*t**3. Let w(h) be the first derivative of c(h). Factor w(j).
-3*j**2*(j - 2)*(j + 1)/5
Let w be 25/50 + 7162/16. Let p = w - 448. Solve -3/8*i + 0 + p*i**2 = 0 for i.
0, 3
Let c(m) be the second derivative of -m**7/105 + 8*m**6/75 - 8*m**5/25 - 1521*m - 4. Suppose c(u) = 0. What is u?
0, 4
Let v(c) be the first derivative of -c**4 - 1480*c**3 - 821400*c**2 - 202612000*c - 532. Suppose v(f) = 0. What is f?
-370
Let m(h) = 5*h - 4. Let v be m(15). Let n = v + -69. Factor l**2 + 3*l**n + 12 + 12 + 20*l.
4*(l + 2)*(l + 3)
Let f(i) = 2*i**3 + 623*i**2 - 47*i - 578. Let s(d) = 3*d**2 - 5*d + 2. Let l(m) = 2*f(m) - 18*s(m). Factor l(n).
4*(n - 1)*(n + 1)*(n + 298)
Let d(m) = m**2 + 4*m - 2. Let l(s) = -4*s**3 + 20*s**2 + 696*s + 32. Let c(g) = 16*d(g) + l(g). Find x, given that c(x) = 0.
-10, 0, 19
Suppose 7*g - 18 = 13*g. Let j be -1 - (g + (4 - 56)). Factor -2*d**5 - 31*d**3 + 75*d**4 + j*d - 5*d**3 - 59*d**4.
-2*d*(d - 3)**3*(d + 1)
Let d(v) be the first derivative of -5 - 1/20*v**5 + 1/2*v**3 + 0*v + 0*v**2 - 1/16*v**4. Factor d(b).
-b**2*(b - 2)*(b + 3)/4
Let n(a) be the first derivative of 64*a**5/15 + 26*a**4/3 - 10*a**3/3 + 1233. Find t such that n(t) = 0.
-15/8, 0, 1/4
Let w = -355 + 655. Solve 6415 + 3*b**2 - 1915 + w*b + 2*b**2 = 0 for b.
-30
Let u = 107 - 119. Let q be (12/8)/((-6)/u). Factor -2/7*z**q + 54/7 - 6/7*z**2 + 18/7*z.
-2*(z - 3)*(z + 3)**2/7
Let q(y) be the first derivative of 3*y**5/5 - 2*y**4 + 2*y**3/3 + 4*y**2 - 5*y + 2086. Determine s, given that q(s) = 0.
-1, 1, 5/3
Let w(d) = d**2 - 14*d - 43. Let s be w(16). Let f be (-32)/(-20)*s/((-22)/20). Determine x so that -30 + 26 - 3*x**2 + 9*x + f = 0.
-1, 4
Suppose 3*n + 7 = s, 3*s - 4 = -4*n + s. Let l be n/((-6)/5 - -1). Determine p, given that p**2 - l + 2*p**2 + 14 - 12*p = 0.
1, 3
Let q(x) be the first derivative of 2/3*x**2 + 1/9*x**3 - 126 - 5/3*x. Factor q(n).
(n - 1)*(n + 5)/3
Factor -450*c**2 + 2340 + 115*c + 44*c + 447*c**2.
-3*(c - 65)*(c + 12)
Let w(u) = u**3 + 19*u**2 - 21*u - 19. Let r be w(-20). Let i be (-1460)/(-16) - -1 - r/4. Factor -3*p**4 - i*p**2 + 91*p**2 + 3*p**3 + p**5 + 0*p**3.
p**2*(p - 1)**3
Let f = 151817/36 - 4216. Let a = f + -8/9. Factor -a*s - 1/4*s**2 + 1/2.
-(s - 1)*(s + 2)/4
Let s(b) be the first derivative of -b**6 - 171*b**5/5 - 627*b**4/4 + 3009*b**3 - 4335*b**2/2 - 627. Suppose s(q) = 0. What is q?
-17, 0, 1/2, 5
Let g be (-6)/(-162) - (-795)/2430*6. Factor -4/7*v**3 + 0 + 8/7*v**g - 4/7*v.
-4*v*(v - 1)**2/7
Let m(x) be the first derivative of x**4 + 32*x**3/3 + 14*x**2 + 1653. Factor m(t).
4*t*(t + 1)*(t + 7)
Let y(h) = -h**3 - 4*h**2 + h - 1. Let d be 3*(8/(-6))/(-1). Suppose 171*o - 31 - 824 = 0. Let j(f) = 4*f**2. Let s(l) = d*y(