*2 + k*t**3 - 128/7*t + 64/7*t**5 - 32*t**4 = 0. Calculate t.
-1, 1/4, 2
Suppose -20*x = -17*x. Suppose x = -9*c + 2*c + 21. Factor -295*s**c - 3*s**4 - 2*s**5 + 12*s**2 + 5*s**5 + 283*s**3.
3*s**2*(s - 2)*(s - 1)*(s + 2)
Let p(v) = -88*v**3 + 3*v**2 + v + 6. Let r be p(-3). Find o such that -1207*o**2 + 28*o - 24 - 1203*o**2 + r*o**2 = 0.
1, 6
Let s be (-34432)/(-10120) + (5 - 2). Let p = -3/1265 + s. Factor -20*w**3 + p - 176/5*w + 56*w**2.
-4*(w - 2)*(5*w - 2)**2/5
Let d be 64/9 + -35*1/5. Let y(c) be the first derivative of 0*c - d*c**4 - 2/45*c**5 - 31 + 2/27*c**3 + 2/9*c**2. Determine s, given that y(s) = 0.
-2, -1, 0, 1
Suppose -41*z + 22*z = 855. Let w be z/630*(-16 + 0). Factor -4/7*l - 8/7*l**2 + 4/7*l**3 + w.
4*(l - 2)*(l - 1)*(l + 1)/7
Let o(p) be the third derivative of -p**7/420 + 11*p**6/120 + 299*p**5/120 - 385*p**4/4 - 3675*p**3 - 1316*p**2. Factor o(r).
-(r - 21)**2*(r + 10)**2/2
What is o in -478/5*o - 474/5*o**2 + 2/5*o**4 - 154/5*o**3 - 32 = 0?
-1, 80
Suppose -90/7*r**2 + 0*r + 6/7*r**3 + 0 = 0. Calculate r.
0, 15
Let p be (9 + (-5629)/624)*(-2)/(-60). Let m = 4679/1440 - p. Factor 0 - 1/4*a**2 - m*a**4 - 3/2*a**5 - 2*a**3 + 0*a.
-a**2*(a + 1)**2*(6*a + 1)/4
Let u(f) = -f**3 - 3*f**2 - 2*f - 1. Let v(m) = 2*m**3 - 197*m**2 + 10002*m + 1. Let i(d) = -u(d) - v(d). Factor i(n).
-n*(n - 100)**2
Let r(b) be the first derivative of -4*b**5/15 - 73*b**4/12 - 391*b**3/9 - 72*b**2 + 192*b + 3036. Suppose r(z) = 0. What is z?
-8, -3, 3/4
Let p(g) = -12*g**3 - 212*g**2 - 404*g - 204. Let b(y) = -23*y**3 - 424*y**2 - 809*y - 408. Let q(f) = 8*b(f) - 15*p(f). Factor q(i).
-4*(i + 1)**2*(i + 51)
Determine c, given that 0 + 12*c**3 - 15/2*c**4 + 0*c + 39/2*c**2 = 0.
-1, 0, 13/5
Let i(z) = 8*z**2 + 7*z + 24. Let a(w) = -7*w**2 - 4*w - 12. Let d(t) = 5*a(t) + 3*i(t). Determine x so that d(x) = 0.
-1, 12/11
Let v(s) be the first derivative of -184 - 4/5*s**5 - 16*s**4 - 324*s + 288*s**2 - 184/3*s**3. Let v(i) = 0. What is i?
-9, 1
Let l(h) be the third derivative of h**6/6 + 404*h**5/5 + 24563*h**4/2 + 58564*h**3/3 + 581*h**2. Factor l(v).
4*(v + 121)**2*(5*v + 2)
Let w be ((-3240)/126)/(1/(-63)). Suppose 5*f = 1630 - w. Solve 2/7*a**f + 0 - 8/7*a = 0 for a.
0, 4
Factor -98/5*y - 104/5*y**2 + 204/5 - 2/5*y**3.
-2*(y - 1)*(y + 2)*(y + 51)/5
Let l(g) = 7*g**2 - 31*g + 30. Let b(r) = 10*r**2 - 30*r + 29. Let o(i) = 2*b(i) - 3*l(i). Find u, given that o(u) = 0.
1, 32
Let l(z) be the second derivative of -2*z**6/5 - 269*z**5/5 - 1995*z**4 + 1350*z**3 - 1378*z. Factor l(n).
-4*n*(n + 45)**2*(3*n - 1)
Factor -133 + 60*x**2 + 68 + 173*x + 70*x**3 + 5*x**4 - 243*x.
5*(x - 1)*(x + 1)**2*(x + 13)
Let t = -81386 - -81404. Factor -1/4*b**3 - 5/2*b**2 - 3*b + t.
-(b - 2)*(b + 6)**2/4
Let z(j) = 944*j**2 - 322*j - 12. Let s(r) = 4*r**2 + 2*r - 7. Let t(p) = -6*s(p) + z(p). Factor t(m).
2*(5*m - 1)*(92*m - 15)
Let u(x) be the second derivative of 0 - 16*x**3 - 104*x - 576*x**2 - 1/6*x**4. Factor u(t).
-2*(t + 24)**2
Suppose 4*o - v - 62 = 81, -5*o = -v - 179. Let l(x) = -x**2 + x + 5. Let j be l(2). Solve -6*n**2 + 24*n**2 - 9 - 3*n**j - o*n + 33 = 0 for n.
2
Let o(v) be the third derivative of 0*v + 68/21*v**3 - 1/35*v**5 + 7/6*v**4 + 0 - 99*v**2. Factor o(q).
-4*(q - 17)*(3*q + 2)/7
Let j(r) = 2*r**2 - 3*r + 2. Let t(x) = -x**2. Suppose -23 = -12*i + 1. Suppose -26*w = -24*w + i. Let c(d) = w*t(d) - j(d). Find o such that c(o) = 0.
1, 2
Let y(o) = o**2 + 3. Let k(n) = n**2 - 20 - 2*n**2 - 4*n**2 - n**2. Let b(j) = 6*k(j) + 39*y(j). Determine c, given that b(c) = 0.
-1, 1
Let a(p) = -286*p**2 - 568*p + 13. Let z be a(-2). Let 10/9*n**3 - 16/9*n**4 + 0 + 28/9*n**2 + 2/9*n**z + 0*n = 0. Calculate n.
-1, 0, 2, 7
Factor -506/7*m**4 + 12/7*m**5 + 0*m**2 + 12*m**3 + 0*m + 0.
2*m**3*(m - 42)*(6*m - 1)/7
Let l be ((-199459)/(-10452) + 19*-1)/((-1)/(-15)). Factor -a**3 + l*a**2 + 0*a + 0 - 1/4*a**4.
-a**2*(a - 1)*(a + 5)/4
Let z(j) = 19*j**2 - 11*j - 14. Let u(b) = 7*b**2 - 4*b - 5. Let c be (-21)/70 + (-33)/(-10). Let h(t) = c*z(t) - 8*u(t). Factor h(k).
(k - 2)*(k + 1)
Let v(l) = -l**2 - 28*l - 187. Suppose 5*n + 71 = 35*z - 39*z, 3*n + z = -37. Let k be v(n). Factor 2/3*j**2 + 2/3*j**4 + 0*j + k - 4/3*j**3.
2*j**2*(j - 1)**2/3
Let z(s) be the first derivative of -s**4/40 - 409*s**3/30 - 102*s**2/5 - 1657. Find t, given that z(t) = 0.
-408, -1, 0
Let t = -916 + 935. Suppose -i + t*x - 17*x = -8, -4*i + 3*x + 12 = 0. Solve -1/3*r**4 + 0*r + 0 + i*r**2 - r**3 = 0 for r.
-3, 0
Let u = 10799257201/910 - 11867314. Let t = -1/182 + u. Suppose 0 - t*a + 2/5*a**2 = 0. Calculate a.
0, 4
Find o, given that 55/2*o**3 + 0 + 27*o**2 + 1/2*o**4 + 0*o = 0.
-54, -1, 0
Let d(a) be the first derivative of -114 - 2/3*a + 0*a**2 + 1/24*a**4 + 1/6*a**3. Factor d(j).
(j - 1)*(j + 2)**2/6
Find k such that 34 + 9/4*k + 1/4*k**4 - 137/4*k**2 - 9/4*k**3 = 0.
-8, -1, 1, 17
Let a(p) be the third derivative of p**7/420 - 7*p**6/360 + p**5/15 - 25*p**4/12 - 14*p**2. Let t(g) be the second derivative of a(g). Factor t(o).
2*(o - 1)*(3*o - 4)
Suppose -307 = 5*f - 2*s, -f + 3*s - 65 = -s. Let k = -22 - f. Find c, given that -2*c**3 - c + 38 + c**4 - k + 3*c = 0.
-1, 1
Let x be -7 + -6*8/(-12). Let l be ((-2)/x)/((-8)/(2*-12)). Factor 200 + 0*u + 19*u + 21*u + 2*u**l.
2*(u + 10)**2
Let s(m) be the third derivative of m**5/420 - 9*m**4/8 + 94*m**3/21 + 65*m**2 - 2*m. Solve s(n) = 0.
1, 188
Let r(l) be the second derivative of l**7/210 - l**6/25 - l**5/100 + l**4/10 - 1987*l. Let r(n) = 0. Calculate n.
-1, 0, 1, 6
Suppose -5 = 2*p - 3*p. Suppose 8*d**p - d**3 - 2*d**5 - 2*d**4 + 2*d**2 - 6*d**5 + d**5 = 0. Calculate d.
-1, 0, 1, 2
Let t(r) = -42*r**2 + 34874*r + 37984333. Let s(g) = -26*g**2 + 17438*g + 18992167. Let y(a) = -5*s(a) + 3*t(a). Find u such that y(u) = 0.
-2179
Factor -78/5*y - 144/5 - 3/5*y**2.
-3*(y + 2)*(y + 24)/5
Let k = -216 + 220. Find i such that -3*i**2 - 48*i - 4*i**k + 44 + 48*i**3 - 22*i**2 - 15*i**2 = 0.
-1, 1, 11
Let t = -19/460 - -977/1380. Solve 2/3*g**2 - t*g - 4 = 0 for g.
-2, 3
Suppose -11*r - 63 = 245. Let o be 2/r*(12 + -13 + -5). Factor 2/7 + 1/7*w**4 - o*w**2 + 1/7*w**3 - 1/7*w.
(w - 1)**2*(w + 1)*(w + 2)/7
Suppose -132 = -5*l + 4*c, 2*l + 2*c = 11 + 49. Factor 15*m**3 + l*m**2 + 13*m**4 - 4*m**2 + 12*m - 10*m**4.
3*m*(m + 1)*(m + 2)**2
Let g(i) be the first derivative of 16*i + 15 + i**2 + 1/40*i**5 - 1/8*i**4 + 0*i**3. Let w(d) be the first derivative of g(d). Factor w(n).
(n - 2)**2*(n + 1)/2
Suppose -4*v + 4*i = 10 - 26, 0 = -2*i. Factor -11*q - 34*q - 6*q**4 + 7*q**2 - 4*q**v + 5*q**4 - 22*q**2 + 25*q**3.
-5*q*(q - 3)**2*(q + 1)
Let c(q) be the first derivative of -4*q**5/25 - 3*q**4 - 104*q**3/15 - 1372. Factor c(g).
-4*g**2*(g + 2)*(g + 13)/5
Let k(p) = 34*p**2 + 302*p + 8. Let r(x) = -21*x**2 - 202*x - 5. Let v(i) = 5*k(i) + 8*r(i). Factor v(g).
2*g*(g - 53)
Let j(f) be the second derivative of f**7/63 - 58*f**6/45 - 59*f**5/30 - 5132*f. Factor j(b).
2*b**3*(b - 59)*(b + 1)/3
Factor -1152/5*a + 231 - 3/5*a**2.
-3*(a - 1)*(a + 385)/5
Let r = -116 - -128. Factor 5*y**4 + 10*y**4 - 12*y**2 - 12*y**3 + 30*y - 9*y**2 - r*y**4.
3*y*(y - 5)*(y - 1)*(y + 2)
Find k such that -1/2*k**2 - 21*k - 185/2 = 0.
-37, -5
Let n(k) be the first derivative of 9*k**5 + 95*k**4/4 - 670*k**3/3 + 50*k**2 + 1000*k + 2030. What is y in n(y) = 0?
-5, -10/9, 2
Let v(r) = -6*r**2 - 4. Let a be 48/36*6/4. Let n be -1*2/(-4)*a. Let c(k) = -k**2 + k. Let h(b) = n*v(b) - 5*c(b). Factor h(u).
-(u + 1)*(u + 4)
Let p(k) = k**3 - 5*k**2 - 2*k + 12. Let l be p(5). Suppose 35 = a + 3*u, 3*a - l*u + 4*u - 70 = 0. Factor 136 + 10*j**2 - 5*j**4 - 89 + a*j**3 - 92 - 60*j.
-5*(j - 3)**2*(j + 1)**2
Suppose -2*d - 13 = -z, 2*d + 17 = 3*z - 6. Let k be (-2)/6 - -1*z/15. Factor -3/4*o**3 - 3/2*o**2 + 0*o + k.
-3*o**2*(o + 2)/4
Let z(v) = -v**3 - 40*v**2 - 388*v + 53. Let q be z(-17). Let r(s) be the first derivative of -24*s + q*s**2 + 4/3*s**3 + 14. Solve r(t) = 0.
-3, 2
Find k, given that -24/7 - 228/7*k - 102/7*k**2 + 540/7*k**5 + 2217/7*k**3 + 2187/7*k**4 = 0.
-2, -1/4, -2/15, 1/3
Let j be ((-3)/9 - (-1221)/99)/2. Let r(g) be the first derivative of -1/21*g**j + 0*g**5 + 0*g + 0*g**2 - 21 + 0*g**3 + 1/14*g**4. Let r(w) = 0. What is w?
-1, 0, 1
Let b(k) be the first derivative of -8*k**2 + 1/5*k