at is k in 6*k**3 - 540*k + 1/9*k**4 + 900 + 61*k**2 = 0?
-30, 3
Determine t so that 3/4*t**2 - 195/2 + 63/4*t = 0.
-26, 5
Let v(u) be the second derivative of -u**4/54 + 496*u**3/27 - 61504*u**2/9 - 2*u + 1358. Factor v(o).
-2*(o - 248)**2/9
Let q(o) be the third derivative of 1/56*o**8 - 8 + 1/60*o**6 - 3/5*o**5 - 1/3*o**4 + 8/3*o**3 - 2*o**2 + 0*o + 2/21*o**7. What is k in q(k) = 0?
-2, -1, 2/3, 1
Let s(y) = 8*y**2 + 8*y + 8. Let z(r) = -r**2 + r + 4. Let i(o) = 3*s(o) + 21*z(o). Determine f so that i(f) = 0.
-12, -3
Let x(g) = -g**2 - 1. Let b(l) = -2*l. Let j(o) = -5*o**2 + 9*o - 20*o - 75 + 13*o. Let h(k) = 22*b(k) - 2*j(k). Let p(v) = -h(v) - 6*x(v). Factor p(d).
-4*(d - 6)**2
Let o(z) be the third derivative of -7*z**5/170 - 47*z**4/204 - 10*z**3/51 - 1710*z**2. Solve o(h) = 0.
-2, -5/21
Let b(c) be the second derivative of -c**5/2 - 196*c**4/9 - 427*c**3/9 - 50*c**2/3 - 12647*c. Suppose b(n) = 0. Calculate n.
-25, -1, -2/15
Let t(g) be the third derivative of 0 + 0*g - 77/48*g**4 - 1/240*g**6 - 49/6*g**3 - 2/15*g**5 - 55*g**2. Solve t(w) = 0.
-7, -2
Let l(m) = 3*m**3 + 12*m**2 - 17*m + 4. Let t(w) = 16*w**3 + 67*w**2 - 86*w + 22. Let v(c) = -11*l(c) + 2*t(c). Factor v(a).
-a*(a - 5)*(a + 3)
Let n(b) be the third derivative of -3/56*b**4 - 1/84*b**5 + 0*b + 9*b**2 + 0 + 1/21*b**3. Factor n(c).
-(c + 2)*(5*c - 1)/7
Suppose -310 = -5*l - 5*q, 5*l - 308 = -q - 2*q. Factor 18*v - 56*v**2 + l + 20 + 57*v**2.
(v + 9)**2
Let j(u) = -2*u**4 - 18*u**3 - 24*u**2 + 6*u - 6. Let d = -71 + 72. Let s(h) = h**3 + h**2 - h + 1. Let c(m) = d*j(m) + 6*s(m). What is f in c(f) = 0?
-3, 0
Let h(n) = n**2 + 3*n. Let l be h(-3). Suppose -301 - 19 = -4*w. Solve l*g**3 + 21*g + w - 5*g**3 + 25*g**2 - 61*g - 60*g**2 = 0.
-4, 1
Let g(z) be the second derivative of -z**4/21 - 22*z**3/21 + 24*z**2/7 + 383*z - 3. Determine q, given that g(q) = 0.
-12, 1
Let q(t) = -1147*t**2 + 10045*t - 21316. Let f(y) = -287*y**2 + 2508*y - 5329. Let j(i) = 45*f(i) - 10*q(i). Suppose j(k) = 0. Calculate k.
73/17
Let n be (2 - 5)/((-15)/25). Suppose n*l = -0 + 10. Factor 2*z**5 + 2*z**3 + 0*z**l - 2 + 3*z**4 - 3*z + 1 - 2*z**2 - z**5.
(z - 1)*(z + 1)**4
Let c(j) be the first derivative of j**6/72 + 7*j**5/12 + 65*j**4/24 + 166*j**3/3 - 158. Let w(s) be the third derivative of c(s). Determine r so that w(r) = 0.
-13, -1
Suppose 1/10*u**3 - 91/10*u**2 + 279/10 - 189/10*u = 0. What is u?
-3, 1, 93
Let o(c) be the first derivative of 76 + 1/10*c**4 + 12/5*c**3 + 256/5*c + 96/5*c**2. Determine u so that o(u) = 0.
-8, -2
Let b be 2/16 - 538/(-30128). Determine d so that -44/7*d + 22/7*d**2 - b*d**3 + 24/7 - 1/7*d**4 = 0.
-6, 1, 2
Let d = -1721 + 1721. Let o(g) be the third derivative of 1/12*g**4 - 1/60*g**5 + 0 + d*g + 0*g**3 + 3*g**2. Factor o(l).
-l*(l - 2)
Let x(d) be the first derivative of 4 - d**3 - 3/2*d**2 + 0*d. Factor x(z).
-3*z*(z + 1)
Let r = -19 + 31. Let p be 5 + 3/(r/(-8)). Factor 4*o**p - 2*o**4 + 2*o**2 - 3*o - o + 0*o.
-2*o*(o - 2)*(o - 1)*(o + 1)
Let r(d) = -2*d**2 - d + 1. Let y(n) = n**3 + 4*n**2 - 17*n - 28. Let j be y(-6). Let w(q) = 9*q**2 + 32*q - 82. Let u(o) = j*r(o) + w(o). Solve u(x) = 0 for x.
-8, 2
Let w(a) be the third derivative of a**7/42 + 13*a**6/24 + 11*a**5/4 + 155*a**4/24 + 25*a**3/3 - 348*a**2 + 2. Factor w(k).
5*(k + 1)**3*(k + 10)
Let o = -46 - -189/4. Let y(g) = -156*g + 780. Let f be y(5). Factor 15/4*n**2 + o*n**3 + 0*n + f.
5*n**2*(n + 3)/4
Let q = 401/696 + 21/232. Factor -164/3*y - q*y**2 - 3362/3.
-2*(y + 41)**2/3
Let m = 116/20831 + 40386/229141. Factor -92/11*y - m*y**2 - 1058/11.
-2*(y + 23)**2/11
Let c = -584 - -587. Let h be (-170)/(-105) - 1/c. Factor 0 - 3/7*i**4 + 12/7*i**2 + 0*i - h*i**3.
-3*i**2*(i - 1)*(i + 4)/7
Let z = 667 - 333. Factor -9*x**2 + 45*x + 284 - z + 14*x**2.
5*(x - 1)*(x + 10)
Let d(u) be the first derivative of 5*u**6/3 + 746*u**5/5 + 3345*u**4 - 19912*u**3/3 + 2888*u**2 + 254. Suppose d(t) = 0. Calculate t.
-38, 0, 2/5, 1
Suppose -2*q + 7 - 32 = 3*m, -q = 4*m + 5. Determine x so that -1/6*x**4 + 0 + 50/3*x - 40/3*x**2 - 19/6*x**m = 0.
-10, 0, 1
Let p = -40/49 + 458/441. Let j = 76/261 - 2/29. Let 2/9 - 2/9*d**2 - p*d**3 + j*d = 0. What is d?
-1, 1
Let o = -37 - -28. Let w be ((-4)/18)/(1/o). Factor -p**5 + 0*p**4 + 0*p + 2*p**3 - p + p**4 + 1 - w*p**2.
-(p - 1)**3*(p + 1)**2
Let u(s) be the first derivative of 0*s + 0*s**2 + 0*s**3 - 1/14*s**6 + 49 - 9/14*s**4 - 3/7*s**5. Factor u(w).
-3*w**3*(w + 2)*(w + 3)/7
Let v(w) be the third derivative of -w**6/40 - 183*w**5/20 - 11163*w**4/8 - 226981*w**3/2 - 181*w**2 - 3. Find a such that v(a) = 0.
-61
Let t(c) be the first derivative of 3*c**5/20 - 51*c**4/8 + 27*c**3/4 + 297*c**2/4 + 4971. Factor t(w).
3*w*(w - 33)*(w - 3)*(w + 2)/4
Let k = 281 - 274. Factor 17*z**2 + z + 8 - 22*z**2 + k - 6*z - 5*z.
-5*(z - 1)*(z + 3)
Let o(n) be the first derivative of -28*n**5/5 + 282*n**4 - 12556*n**3/3 + 11856*n**2 - 5776*n - 110. Determine p so that o(p) = 0.
2/7, 2, 19
Let o(r) = -16*r**3 - 6582*r**2 - 3616818*r - 661876608. Let i(x) = -2*x**3 + x**2 - x - 2. Let g(b) = 6*i(b) - o(b). Factor g(t).
4*(t + 549)**3
Let k = -179 - -124. Let b = k + 309. Factor 6*n**3 - 8*n**4 + 6*n**3 - b*n**5 + 250*n**5.
-4*n**3*(n - 1)*(n + 3)
Let d(r) = 6*r**2 - 20*r. Let b be d(4). Let v be 188/b + -12 - (-134)/56. Factor v*s**3 + 0 - 12/7*s**4 + 0*s - 3/7*s**2.
-3*s**2*(s - 1)*(4*s - 1)/7
Let a be 2*(-1)/(-15) + (-2559)/(-45). What is h in 113*h**3 - 8*h**2 - a*h**3 + 3*h - h**5 - 50*h**3 = 0?
-3, 0, 1
Let x(l) be the first derivative of l**3/12 + 7*l**2/8 - 1251. Factor x(s).
s*(s + 7)/4
Let m(u) = 2*u**3 + 6*u**2 + 4*u + 2. Let f be m(-2). Find n such that -45*n**2 + 23*n**2 + 23*n**f + 3*n = 0.
-3, 0
Let k(z) = z**3 - 19*z**2 + z - 16. Let v be k(19). Factor 3*g + v*g + 12 + 22*g - 14*g + 2*g**2.
2*(g + 1)*(g + 6)
Let c = -2227352/5 - -445471. Factor 12 - 3/5*l**3 + 48/5*l + c*l**2.
-3*(l - 5)*(l + 2)**2/5
Let 306/5*r + 61 + 1/5*r**2 = 0. Calculate r.
-305, -1
Let i(k) = -3*k**3 - 79*k**2 - 211*k - 5. Let x(b) = -16*b**3 - 394*b**2 - 1062*b - 26. Let y(u) = -26*i(u) + 5*x(u). Factor y(a).
-2*a*(a - 44)*(a + 2)
Let n = 60149 - 661625/11. Find v, given that -2/11*v + 2/11*v**4 + 2/11*v**3 - n*v**2 + 12/11 = 0.
-3, -1, 1, 2
Suppose w**3 - 60 + 701*w**2 - 16*w + 709*w**2 - 1401*w**2 = 0. Calculate w.
-10, -2, 3
Let z(o) = 45*o**4 + 290*o**3 - 1115*o**2 + 370*o + 50. Let x(a) = -a**4 - a**3 - 24*a**2 + a + 1. Let b(r) = 15*x(r) - z(r). Solve b(k) = 0 for k.
-7, -1/12, 1
Let y = 493 + -482. Let t(i) = -27*i**2 + 61*i + 34. Let d(j) = 15*j**2 - 31*j - 16. Let k(m) = y*d(m) + 6*t(m). Factor k(z).
(z + 7)*(3*z + 4)
Let u(h) be the first derivative of -h**5/60 - 7*h**4/24 - h**2/2 + 5*h + 60. Let o(x) be the second derivative of u(x). Let o(l) = 0. Calculate l.
-7, 0
Suppose 0 = 4*f - 3*s - 467, f - 4*f + 366 = 3*s. Suppose -h - b + 131 = 2*h, -3*h = -5*b - f. Let j**2 + 4*j**3 + h*j + 23*j**2 - 8 + 40 + 5*j = 0. What is j?
-2
Let i(b) be the third derivative of -b**8/2016 + 11*b**7/1260 - b**6/45 - 7*b**5/60 - b**3/6 + 44*b**2. Let f(d) be the third derivative of i(d). Factor f(n).
-2*(n - 4)*(5*n - 2)
Let w be (-25 + 1)*(-1)/2. Let v(d) = d**2 - 13*d + 14. Let y be v(w). Factor -12*i**2 - 2*i**4 + 22*i**3 - y - i - 14*i**3 + 9*i.
-2*(i - 1)**4
Suppose 2843 + 829 + 126*r**2 - 2*r**3 + 448189*r - 449485*r = 0. Calculate r.
6, 51
Let k be (-159354)/330512*-35*1. What is p in 3/8*p**4 - 135/8*p - 141/8*p**2 + 69/4 + k*p**3 = 0?
-46, -1, 1
Solve -8 - 19*v**2 + 1547*v - 4662*v + 1532*v + 1505*v = 0.
-4, -2/19
Suppose -5*p**3 - 768*p**2 - 7141500*p - 5803*p**2 - 3779*p**2 - 1642545000 = 0. Calculate p.
-690
Let v(i) be the second derivative of -2*i**6/15 - 12*i**5/5 + 26*i**4 - 232*i**3/3 + 102*i**2 + 20*i + 16. Factor v(a).
-4*(a - 3)*(a - 1)**2*(a + 17)
Factor -29*t - 183*t**2 - 65 + 11*t + 221*t**2 - 39*t**2.
-(t + 5)*(t + 13)
Let a(b) = 28*b**5 + 624*b**4 - 488*b**3 - 808*b**2 + 464*b + 192. Let h(v) = -2*v**3 + v - 2. Let s(n) = -a(n) - 4*h(n). Let s(w) = 0. What is w?
-23, -1, -2/7, 1
Let x = -71779 + 789731/11. Find p, given that -x*p - 2/11*p**3 + 0 + 36/11*p**2 = 0.
0, 9
Let d(m) = 20*m**3 + 199*m**2 - 380*m + 188. Let q(f) = -108*f**3 - 996*f**2 + 1900*f - 940. Let z(w) = -16*d(w) - 3*q(w)