*3 + 194/11*u - 42/11*u**4 + 150/11 + 2/11*u**5 = 0.
-3, -1, 1, 25
Let c = -235 + 617. Let x = 386 - c. Factor -1/3*i**x + 2/3*i**3 - 1/3*i + 2/3*i**2 - 1/3 - 1/3*i**5.
-(i - 1)**2*(i + 1)**3/3
Let o(y) be the third derivative of -14/27*y**3 + 0 + y - 13/108*y**4 + 1/270*y**5 - 17*y**2. Suppose o(r) = 0. Calculate r.
-1, 14
Let a(f) be the third derivative of -f**5/12 + 695*f**4/3 - 772840*f**3/3 + 2760*f**2. Suppose a(i) = 0. What is i?
556
Suppose 2*y - 14 + 0 = 0. Let q(k) = 5*k + 5. Let v be q(y). What is w in 16*w**5 + 6 + 7*w**4 + 30*w**2 + 34*w - 8*w**3 - v*w**4 - 42*w**3 - 3*w**4 = 0?
-1, -1/2, -1/4, 1, 3
Let l(m) be the second derivative of -6*m**3 - 10/3*m**4 + 10/21*m**7 + 8/5*m**6 + 4/5*m**5 + 27 - 4*m**2 + m. Factor l(s).
4*(s - 1)*(s + 1)**3*(5*s + 2)
Suppose -5*v = -5*a, 0 = -a - 2*v - 3 + 12. Factor -689*k**a + 1376*k**3 - 686*k**3 - k**5 + 3*k**4 - 3*k**2.
-k**2*(k - 3)*(k - 1)*(k + 1)
Let h(o) be the first derivative of -41 - 1/5*o**5 + 0*o**2 + 0*o + 0*o**4 + 0*o**3 - 1/6*o**6. Factor h(n).
-n**4*(n + 1)
Let r be 159/9 + 0 - 6/9. Let c(t) = -2*t**2 + 54*t - 76. Let j(n) = -5*n**2 + 159*n - 230. Let i(z) = r*c(z) - 6*j(z). Factor i(b).
-4*(b - 2)*(b + 11)
Let n = 2100295/9 + -233366. Determine q so that -5/9*q + n*q**2 + 2/3 = 0.
2, 3
Let r be ((-19541)/2171 - -3) + 18/3. Let j = r + 19547/8684. Factor j + 3/8*f**2 - 15/8*f.
3*(f - 3)*(f - 2)/8
Factor 2716 + 237*d + 5*d**2 - 97*d - 1916.
5*(d + 8)*(d + 20)
Let z(q) be the third derivative of -q**7/1365 + q**6/30 - 32*q**5/65 + 24*q**4/13 - 50*q**2 + 3*q. Let z(b) = 0. What is b?
0, 2, 12
Let v be (-206)/(-6) + -3 + 11/3. Suppose -3*m - 41 = -2*x, 12*x + m + v = 14*x. Factor -4*g**2 + 40*g**4 + x*g**3 - 14*g + 8 - 44*g**4 + 5*g**5 - 7*g**5.
-2*(g - 1)**3*(g + 1)*(g + 4)
Find b, given that -1/3*b**4 - 296/3*b + 208/3 + 31*b**2 - 4/3*b**3 = 0.
-13, 1, 4
Let d = -4 + 6. Let c be (1175/(-705))/(50/(-48)). Let -2/5*o**2 + d*o - c = 0. Calculate o.
1, 4
Let o(v) be the third derivative of -v**5/270 + 167*v**4/27 - 111556*v**3/27 - 14*v**2 + 3*v. Factor o(r).
-2*(r - 334)**2/9
Let m be (8/60*-3)/(785/25). Let l = 928/1099 - m. Solve 8/7 - 2/7*g**2 - l*g = 0 for g.
-4, 1
Suppose 3*k - 410 = -149. Let y = -85 + k. Factor -3*m**y + 2*m**2 - 16*m - m**2 + 6*m**2 + 12.
4*(m - 3)*(m - 1)
Let r = -20497 + 102488/5. Suppose 3/5*o**5 + 72/5*o**2 + 0 + r*o**3 + 48/5*o - 18/5*o**4 = 0. Calculate o.
-1, 0, 4
Let k(z) be the third derivative of -z**5/20 - 11*z**4/12 - 13*z**3/2 + 57*z**2 + 4*z. Factor k(f).
-(f + 3)*(3*f + 13)
Suppose 0 = 23*u - 426 - 448. Let p be (-2)/12 - u/(-57). Factor -5/2*a - p*a**3 - 2*a**2 - 1.
-(a + 1)**2*(a + 2)/2
Let n(t) be the first derivative of 3*t**4/4 + 11*t**3 + 105*t**2/2 + 75*t - 3439. Solve n(k) = 0.
-5, -1
Solve -208*n**4 - 9280*n**3 - 4/3*n**5 - 344064*n - 442368 - 276736/3*n**2 = 0.
-72, -4
Let 0 - 1/4*i**2 - 29/2*i = 0. What is i?
-58, 0
Determine b so that 2/11*b**2 + 0 + 5000/11*b**4 + 0*b + 200/11*b**3 = 0.
-1/50, 0
Let f = 7510 - 7505. Let b(c) be the third derivative of 0 + 7/144*c**4 - 49/72*c**3 - 1/720*c**f + 35*c**2 + 0*c. Factor b(r).
-(r - 7)**2/12
Let h(j) = -2*j**3 + 7*j**2 + 28*j - 61. Let w be h(5). Let c(a) be the first derivative of -16*a - w*a**2 - 8 - 1/3*a**3. Determine m so that c(m) = 0.
-4
Let s**3 + 0 + 263/4*s - 1053/4*s**2 = 0. What is s?
0, 1/4, 263
Let -878/3 - 5260/3*i**2 + 1170*i + 3500/3*i**3 - 290*i**4 - 2/3*i**5 = 0. What is i?
-439, 1
Let n(o) be the second derivative of -1/270*o**6 - 1/3*o**3 + o + 2 + 1/10*o**5 - 20/27*o**4 + 9/2*o**2. Suppose n(g) = 0. Calculate g.
-1, 1, 9
Factor 4901 - 20231*d - 2*d**3 + 146*d**2 + 14449 + 17201*d.
-2*(d - 43)*(d - 15)**2
Suppose t = -4*r + 9, 6 = 4*r - t - 1. Let c be 4/(-24)*2 + 840/900. Find z such that -9/5 + c*z**r + 6/5*z = 0.
-3, 1
Suppose -707*b = 773*b - 1546*b + 132. Let v = 158 + -1098/7. What is h in v - 2/7*h**b - 6/7*h = 0?
-4, 1
Suppose -6213 + 525 = 18*a. Let u = 2214/7 + a. Let 1/7*k + 1/7*k**5 + 0*k**4 + 0*k**2 - u*k**3 + 0 = 0. Calculate k.
-1, 0, 1
Let m(f) be the second derivative of -f**6/8 - 77*f**5/60 + 10*f**4/3 + 2*f**3 + 4*f**2 + 14*f - 4. Let w(y) be the first derivative of m(y). Factor w(i).
-(i - 1)*(i + 6)*(15*i + 2)
Let i be (-14)/16*(-1 - (-247)/266)*4. Factor 1/2*z**2 - 11/4*z - 7/4*z**4 + 5/2*z**3 + i*z**5 + 5/4.
(z - 5)*(z - 1)**3*(z + 1)/4
Let m(s) be the first derivative of s**3/6 + 9*s**2 - 37*s/2 + 398. Solve m(z) = 0 for z.
-37, 1
Let b(d) be the third derivative of 0 - 1/9*d**3 + 79*d**2 + 1/540*d**6 - 5/108*d**4 - 1/270*d**5 + 0*d. Determine k, given that b(k) = 0.
-1, 3
Let h(w) be the second derivative of 2/7*w**2 + 13/84*w**4 + 0 + 3/70*w**5 + 1/210*w**6 - 43*w + 2/7*w**3. What is p in h(p) = 0?
-2, -1
Let n be 112/35 - 2/10. Solve 2*u**5 - 40*u**2 + u**5 + 33*u**4 - 107*u**2 - 294*u**2 + 8*u**n + 13*u**3 = 0.
-7, 0, 3
Let f(b) = 25*b**3 + 937*b**2 + 1838*b + 874. Let c(o) = 15*o**3 + 562*o**2 + 1103*o + 524. Let l(s) = -13*c(s) + 8*f(s). Factor l(h).
5*(h + 1)**2*(h + 36)
Let j(h) = 6*h - 27. Let z be j(5). Factor -16*s**z - 61*s**4 + 162*s**4 + 4*s**2 - 8*s**5 - 81*s**4.
-4*s**2*(s - 1)**2*(2*s - 1)
Let w(c) = -c**2 - 50*c + 164. Let a(h) = 60*h - 162. Let s(i) = -2*a(i) - 3*w(i). Determine y, given that s(y) = 0.
-14, 4
Let q be ((-69)/322)/(30*12/28*-2). Let f(z) be the third derivative of 0 - 10*z**2 + 0*z + q*z**5 + 0*z**3 + 1/480*z**6 + 1/96*z**4. Factor f(c).
c*(c + 1)**2/4
Let v(w) be the first derivative of 1/2*w**4 - 3*w**3 - 9*w**2 - 104 + 1/5*w**5 + 0*w. Factor v(f).
f*(f - 3)*(f + 2)*(f + 3)
Let f(v) be the first derivative of -v**6/18 - v**5 + v**4/2 + 98*v**3/9 + 41*v**2/2 + 15*v - 2704. Solve f(w) = 0.
-15, -1, 3
Let w = -1605 - -1605. Let c(x) be the third derivative of 35/12*x**4 + 1/60*x**6 - 25/3*x**3 + 0*x + w - 15*x**2 - 11/30*x**5. Factor c(d).
2*(d - 5)**2*(d - 1)
Let q(w) be the second derivative of -3*w**6/20 + 79*w**5/40 + 81*w**4/4 + 26*w**3/3 - 105*w - 1. Let q(b) = 0. What is b?
-4, -2/9, 0, 13
Let a(r) be the third derivative of r**10/166320 + r**9/83160 - r**4/12 - 65*r**3/6 + 90*r**2. Let k(m) be the second derivative of a(m). Factor k(l).
2*l**4*(l + 1)/11
Suppose 69/2*i + 1/2*i**2 - 146 = 0. Calculate i.
-73, 4
Let q(z) = -20*z**5 - 105*z**4 + 370*z**3 - 135*z**2 - 335*z + 150. Let i(k) = k**5 - k**3 - k + 6. Let v(l) = 15*i(l) + q(l). Suppose v(a) = 0. What is a?
-24, -1, 1, 2
Let y(i) = i + 1. Let j(q) = -q**2 + 17*q - 6. Let l(c) = -j(c) + 6*y(c). Let d be l(10). Factor -6*w**2 - 4*w**2 + 6*w**d - 8*w - 4*w.
-4*w*(w + 3)
Let g(s) be the third derivative of -s**8/448 - 83*s**7/280 - 1133*s**6/80 - 2429*s**5/10 + 833*s**4 + 5488*s**3 - 40*s**2 - s. Determine y so that g(y) = 0.
-28, -1, 2
Let g(o) be the first derivative of -3*o**5/5 + 240*o**4 - 25278*o**3 - 77280*o**2 - 77763*o + 949. Solve g(t) = 0 for t.
-1, 161
Let z = 25 + -49/2. Let o = -20/287 + 327/574. Factor -o*t + 0*t**2 + z*t**3 + 0.
t*(t - 1)*(t + 1)/2
Suppose 5*i + 220 = -10*v + 5*v, -4*v = -i - 19. Let o = i + 43. Factor 0 - 1/3*r**o + 1/3*r**2 + 0*r**3 + 0*r.
-r**2*(r - 1)*(r + 1)/3
Let p(b) be the first derivative of 15*b**6/8 - 269*b**5/20 - 683*b**4/16 - 121*b**3/4 + 11*b**2/4 + 4*b - 550. Suppose p(u) = 0. Calculate u.
-1, -2/9, 1/5, 8
Let f(u) be the second derivative of u**7/126 - 137*u**6/18 + 58823*u**5/30 - 3211*u**4 - 12996*u**3 + 3212*u. Let f(c) = 0. What is c?
-1, 0, 2, 342
Let a be (-3 - 0) + (-9)/12*-88. Factor -11*r**2 - 26*r**3 + 25*r**3 + 10*r**2 + 33*r - a.
-(r - 3)**2*(r + 7)
Let u(f) be the third derivative of 5/16*f**4 + 225/8*f**3 + 1/720*f**5 - 39*f + 0 - 2*f**2. Determine v, given that u(v) = 0.
-45
Let y(t) be the third derivative of t**5/20 + t**4/8 - 6*t**3 - 556*t**2. Factor y(c).
3*(c - 3)*(c + 4)
Suppose 0 = 5*z - 27 + 32. Let p be (4 - 129/z)*2. Suppose -25*x + 251*x**2 - p*x**2 + 8 - 2 + 4*x + 12*x**3 = 0. Calculate x.
-1, 1/4, 2
Let d(q) = -56*q + 142. Let w be d(2). Let h(b) be the first derivative of -w*b - 31 + 39/2*b**2 + 3*b**3. Suppose h(f) = 0. What is f?
-5, 2/3
Factor -8/9*z**2 + 2/9*z**4 + 2/9*z**3 + 0 - 8/9*z.
2*z*(z - 2)*(z + 1)*(z + 2)/9
Let k(q) be the third derivative of q**6/420 + 88*q**5/35 + 351*q**4/28 + 526*q**3/21 + 7*q**2 + 70. Factor k(r).
2*(r + 1)**2*(r + 526)/7
What is c