= l**3 + 2*l. Let h(b) = -5*b**3 - b**2 - 11*b. Let w = 56 + -57. Let k = w + 3. Let u(j) = k*h(j) + 11*o(j). Factor u(r).
r**2*(r - 2)
Solve -100*h**3 + 391*h - 819 - 80*h**2 - h**4 - 4*h**4 - 1341 + 1289*h = 0 for h.
-18, -6, 2
Let s(n) be the first derivative of n**3/21 - 120*n**2/7 - 2539. Determine v, given that s(v) = 0.
0, 240
Let l(x) be the third derivative of -x**5/40 - 27*x**4/16 - 25*x**3/2 + 615*x**2. Find j such that l(j) = 0.
-25, -2
Suppose -2*y = -10 - 0. Suppose -4*c - 3 - y = -s, 0 = -4*s + 5*c + 87. Let 4*j**3 - s*j - 8*j**4 - 4*j**4 + 28*j = 0. What is j?
0, 1/3
Let b(u) be the first derivative of 4*u**6/45 - 13*u**5/15 - 7*u**4/9 + 21*u - 142. Let x(c) be the first derivative of b(c). Factor x(j).
4*j**2*(j - 7)*(2*j + 1)/3
Let g(u) = -5 - 3*u**2 + 5 + 26*u - u**2 - 4 + 6*u**2. Let n be g(-14). Find l such that 4/3*l**2 + 108 + n*l = 0.
-9
Suppose 50*t**2 + 38/9*t**4 + 0*t - 94/3*t**3 + 2/9*t**5 + 0 = 0. What is t?
-25, 0, 3
Let t(w) be the second derivative of 3*w**5/20 + 505*w**4/4 + 1007*w**3/2 + 1509*w**2/2 + w + 126. Factor t(v).
3*(v + 1)**2*(v + 503)
Let z(f) be the third derivative of -f**7/210 - 25*f**6/8 - 34589*f**5/60 + 35469*f**4/8 - 11907*f**3 + 6539*f**2. Find r, given that z(r) = 0.
-189, 1, 2
Let h(w) be the first derivative of 3*w**4/20 + 33*w**3/5 + 513*w**2/10 + 729*w/5 - 986. Let h(g) = 0. Calculate g.
-27, -3
Let u(q) be the first derivative of q**4/4 - 4*q**3/3 + q**2/2 + 6*q - 7652. Factor u(r).
(r - 3)*(r - 2)*(r + 1)
Suppose -4*a + 1 = -3. Let s be (a - -4) + (5 - 7). Solve 39*b - 1 + 70*b**s - 260*b**4 + 150*b**2 + 4 + 26*b**3 - 28*b**4 = 0 for b.
-1/4, -1/6, 1
Let -2*i**3 - 1970/7*i**2 - 1144/7 + 4568/7*i = 0. Calculate i.
-143, 2/7, 2
Let c(r) be the third derivative of 8/3*r**4 + 0*r + 1/105*r**7 - 1/10*r**5 - 20/3*r**3 + 184*r**2 - 1/6*r**6 + 0. Factor c(d).
2*(d - 10)*(d - 1)**2*(d + 2)
Let n(y) be the first derivative of y**6/27 - 28*y**5/9 + 511*y**4/18 - 1844*y**3/27 - 512*y**2/9 + 1984*y/9 - 6026. Let n(u) = 0. What is u?
-1, 1, 4, 62
Suppose -2*s = -13 + 7. Suppose 0 = c - 3*c - s*a + 1, 0 = -a - 5. Let 2*k**3 - 2*k**4 - 5*k**5 + c*k**2 + 18*k + 2 + 4*k**5 - 11*k = 0. Calculate k.
-1, 2
Let y(p) be the third derivative of 0*p - 1/15*p**5 - 2*p**3 + 79*p**2 + 0 + 2/3*p**4. Factor y(z).
-4*(z - 3)*(z - 1)
Let z = -74 + 74. Suppose 0 = -5*v + 3*m + 14139, -2*v + 4*m = -z*v - 5664. Factor -2898*o - 51 - 3*o**2 - 273 - o**2 + v*o.
-4*(o + 9)**2
Let t(x) = -31*x + 219. Let y be t(7). Let -88 - 2*f**2 + 23*f + 31*f + 0*f**y - 6*f = 0. What is f?
2, 22
Let b(o) be the first derivative of -o**5 + 25*o**4/4 + 5*o**3 - 85*o**2/2 + 50*o + 248. Find x, given that b(x) = 0.
-2, 1, 5
Let t = 937550 + -60944126/65. Let f = t + 696/13. Factor 0*y + f + 2/5*y**3 - 6/5*y**2.
2*(y - 2)**2*(y + 1)/5
Let q(s) be the second derivative of -s**6/135 - 7*s**5/90 - 8*s**4/27 - 4*s**3/9 + 42*s - 17. Factor q(v).
-2*v*(v + 2)**2*(v + 3)/9
Let w = 576 + -578. Let y(x) = -17*x**2 - 10*x. Let t(m) = -5*m**2 - 3*m. Let p(f) = w*y(f) + 7*t(f). Factor p(u).
-u*(u + 1)
Let q(u) = 3*u**2 - 7*u - 8. Let d(s) = 2*s**2 - 8*s - 10. Let l be (-108)/(-26) - -4*(-4)/104. Let c(k) = l*q(k) - 5*d(k). Factor c(w).
2*(w + 3)**2
Let x(d) be the second derivative of d**3/6 + d**2/2 + 7*d + 2. Let c(b) = b**2 + 8*b + 6. Let g(a) = c(a) - 6*x(a). Determine w so that g(w) = 0.
-2, 0
Let s(u) be the first derivative of -2*u**5/35 - u**4/2 - 16*u**3/21 + 16*u**2/7 + 205. What is q in s(q) = 0?
-4, 0, 1
Let k(l) = -3*l + 5. Let q be k(-3). Let o(t) = -t**3 + 15*t**2 - 14*t + 3. Let c be o(q). Factor 11*y**3 + 67*y**4 + 4*y**c - 10*y**2 - 57*y**4.
5*y**2*(y + 2)*(2*y - 1)
Find d such that 120*d + 2*d**2 + 2746 - 2620 - 88*d = 0.
-9, -7
Suppose -11 - 3*z**3 + 2*z**2 - 3 - 4 - 26*z**2 + 0*z**3 - 39*z = 0. Calculate z.
-6, -1
Let p(k) be the third derivative of k**8/336 + 3*k**7/7 - 93*k**6/40 + 890*k**2. Find m such that p(m) = 0.
-93, 0, 3
Suppose 93*i = -65 + 6947. Factor -i*y**4 + 0 + 1372*y + 1050*y**3 - 5096*y**2 + 7/4*y**5.
y*(y - 14)**3*(7*y - 2)/4
Find r, given that -3851792*r + 2/7*r**4 + 48552*r**2 + 0 - 204*r**3 = 0.
0, 238
Let a be 6 - (201285/(-4086))/(-9). Let t = -6/227 + a. Factor -1/4*i - t + 1/4*i**2.
(i - 2)*(i + 1)/4
Let h(g) = -21*g**3 + 413*g**2 + 234*g - 264. Let i(b) = -21*b**3 + 408*b**2 + 237*b - 264. Let r(q) = -9*h(q) + 8*i(q). Factor r(v).
3*(v - 22)*(v + 1)*(7*v - 4)
Let g = 2 - 2. Let d = -409119 - -409121. Factor -3/7*n**d + g*n + 3/7*n**5 + 3/7*n**4 - 3/7*n**3 + 0.
3*n**2*(n - 1)*(n + 1)**2/7
Factor 0*c - 2/5*c**3 + 0 - 352/5*c**2.
-2*c**2*(c + 176)/5
Let n(s) be the second derivative of 5/4*s**4 + 0 - 14/3*s**3 + 33/2*s**2 - 1/30*s**5 + 16*s. Let m(y) be the first derivative of n(y). Factor m(v).
-2*(v - 14)*(v - 1)
Solve 94*h**4 + 50*h**4 - 155*h - 17*h**3 - 72*h**2 + 140*h - 27*h**5 - 13*h**3 = 0 for h.
-1/3, 0, 1, 5
Let k = 57 - -130. Let t = k + -79. Determine o so that -36 - 3*o**4 + 46 - t*o**2 + 54 - 50*o**3 - 3*o**4 = 0.
-4, -1, 2/3
Let r(j) be the second derivative of -9/13*j**3 - 6 + 0*j**4 + 0*j**2 + 1/273*j**7 + 9/65*j**5 + 6*j + 8/195*j**6. Suppose r(n) = 0. What is n?
-3, 0, 1
Determine y, given that -28/3 + 2/9*y**2 + 82/9*y = 0.
-42, 1
Let j(m) be the second derivative of 2 + 1800*m**2 + 1/3*m**4 + 40*m**3 + 31*m. Factor j(s).
4*(s + 30)**2
Let -1/3*q**3 - 17*q - 9*q**2 - 25/3 = 0. What is q?
-25, -1
Let l(m) = -m**2 - m. Let j(t) be the third derivative of t**5/15 + 5*t**4/12 - t**3/3 - 74*t**2 + 1. Let a(k) = j(k) + 6*l(k). Factor a(v).
-2*(v - 1)**2
Suppose 16 = -75*g + 83*g. Let 0*u**4 + 673*u**5 - 675*u**5 - 8*u**4 + 20*u**2 + 12*u**3 + g*u**3 = 0. What is u?
-5, -1, 0, 2
Let h(v) be the second derivative of 15*v**2 - v + 5/12*v**4 + 35/6*v**3 + 47. What is f in h(f) = 0?
-6, -1
Let u(s) = 17*s**3 - 3*s**2 + 1. Let l(o) = -33*o**3 + 13*o**2 - o - 9. Let k(p) = 3*l(p) + 6*u(p). Suppose k(b) = 0. Calculate b.
-7, -1, 1
Let n(l) = 3*l**2 + 14*l + 13. Let c(o) = -o**2 + 5*o + 23. Let j be c(-3). Let s(q) = -1. Let b(w) = j*n(w) - 5*s(w). Factor b(a).
-(a + 4)*(3*a + 2)
Let g(k) be the third derivative of -k**9/15120 + k**8/1344 - k**4/12 - 32*k**3/3 - 88*k**2. Let l(u) be the second derivative of g(u). Factor l(x).
-x**3*(x - 5)
Let g = -19/14629 - -43982/73145. Factor -18/5*a**3 + 0 + 0*a - g*a**4 + 21/5*a**2.
-3*a**2*(a - 1)*(a + 7)/5
Let o(n) be the third derivative of 3/2*n**4 + 4*n**3 + 1/10*n**5 + 1 + 15*n**2 - 3/40*n**6 - 1/70*n**7 + 0*n. Solve o(j) = 0.
-2, -1, 2
Let p(w) be the second derivative of 9*w**5/35 - 313*w**4/21 + 472*w**3/21 + 136*w**2/7 + 5871*w. Let p(z) = 0. Calculate z.
-2/9, 1, 34
Let x(a) be the third derivative of a**5/40 - 7*a**4 + 327*a**3/4 - a**2 + 1867*a. Solve x(n) = 0 for n.
3, 109
Let y(r) be the third derivative of -r**5/5 + 23*r**4/8 + 105*r**3/2 + 5178*r**2. Factor y(a).
-3*(a + 3)*(4*a - 35)
Let v(t) be the third derivative of t**7/4200 - t**5/200 - t**4/60 - 46*t**3/3 + 18*t**2. Let r(l) be the first derivative of v(l). Suppose r(d) = 0. What is d?
-1, 2
Let s = 237 - -162. Let g = -397 + s. Factor 0 - 98*a**5 + 14*a**4 + 16/7*a + 60*a**3 + 152/7*a**g.
-2*a*(a - 1)*(7*a + 2)**3/7
Let q(v) = 4 - 11 - 15*v - 4*v**2 + 3*v. Suppose 2*r - 4 + 0 = 0, -s - 1 = -4*r. Let o(k) = 3*k**2 + 8*k + 5. Let d(m) = s*o(m) + 5*q(m). Factor d(t).
t*(t - 4)
Let t = 4324 - 4321. Find k, given that 24/5*k**2 + 26/15 + 4/3*k**t + 76/15*k - 2/15*k**4 = 0.
-1, 13
Let h be 15 + -6 + (71 - -20)/(-13). Factor 0*b**h - 1/2*b**4 - 1/4*b**3 + 0 + 0*b - 1/4*b**5.
-b**3*(b + 1)**2/4
Let f(p) be the second derivative of p**7/63 - 298*p**6/45 + 148*p**5/15 + 149*p**4/9 - 33*p**3 + 2*p - 9258. Let f(a) = 0. Calculate a.
-1, 0, 1, 297
Let l = -1091815/2 - -14193599/26. What is z in -2/13*z**4 + 8/13*z**3 + 0 + l*z**2 - 8/13*z = 0?
-1, 0, 1, 4
Solve 5/4*o**2 + 0 - 5/2*o = 0.
0, 2
Suppose -2*f - 3 = -2*s - 25, 27 = 5*f + 2*s. Suppose -f*n + 24 = -n. What is i in 11*i**3 - 10*i - 3*i**n - 5*i**2 + 8*i**4 - i**3 = 0?
-2, -1, 0, 1
Let m(u) be the third derivative of -u**7/630 - 61*u**6/180 - 121*u**5/180 + 31*u**2 - 68*u. Solve m(f) = 0 for f.
-121, -1, 0
Factor 2/13*x**2 + 400/13*x + 398/13.
2*(x + 1)*(x + 199)/13
Let x(u) be the first derivative of -u**4/132 - u**3/33 + 15*u**2/22 - 124*u