2/7*m + v*m**3.
-m*(m - 3)*(m - 1)*(m + 4)/7
Let b be 1 + 0 + (6 - (-1 - -3)). Suppose -2*n = 3*n + b*j, n + 4*j = -6. Let -n*t**3 - 206*t**2 + 5*t**3 - 6*t + 203*t**2 = 0. What is t?
-1, 0, 2
Suppose 0 = 85*v - 19*v - 528. Determine t so that 22844 - 4*t - 22844 - 2*t**4 - 3*t**3 + t**5 + v*t**2 = 0.
-2, 0, 1, 2
Determine r so that 7927*r**3 + 4 + 16 + 12 + 40*r**2 - 7931*r**3 - 68*r = 0.
1, 8
Let t(f) be the first derivative of 1/4*f**4 + 0*f + 47 - 2/5*f**5 + 0*f**2 - 1/6*f**6 + 2/3*f**3. Find z such that t(z) = 0.
-2, -1, 0, 1
Let m be 224/16*(-198)/(-7). Let d be 4/22 + 632/m. Let 32/9*f - d*f**2 + 0 + 2/9*f**3 = 0. Calculate f.
0, 4
Solve -1/2*g**2 - 576081/2 - 759*g = 0 for g.
-759
Let z(t) = 2*t**2 - 78*t - 340. Let x be z(-4). What is l in -28/5*l**x - 32/5 - 264/5*l**2 + 176/5*l + 148/5*l**3 = 0?
2/7, 1, 2
Let z = 115 - 112. Suppose 18*y**2 - 18*y + 3*y**z - 45*y**2 + 24*y**2 = 0. Calculate y.
-2, 0, 3
Let r = -10591 - -10595. Let c(t) be the first derivative of -3/4*t**r - 7/3*t**3 - 5/2*t**2 + 18 - t. Factor c(w).
-(w + 1)**2*(3*w + 1)
Let m(t) be the second derivative of t**6/600 - t**5/200 - 3*t**4/20 + 8*t**3/3 - t + 28. Let j(f) be the second derivative of m(f). Factor j(s).
3*(s - 3)*(s + 2)/5
Let g(j) be the first derivative of j**4/2 - 8*j**3 - 15*j**2 + 700*j + 3317. Factor g(s).
2*(s - 10)*(s - 7)*(s + 5)
Let t(y) be the second derivative of 173*y**4 - 704*y**3/3 + 8*y**2 - 135*y - 21. Determine s so that t(s) = 0.
2/173, 2/3
Let h = 48 - -3. What is q in 11*q**3 - 52*q**2 + q**4 - 11*q - 8 - q**5 + q - h*q**2 + 110*q**2 = 0?
-2, -1, 1, 4
Let j(q) be the first derivative of q**4/26 - 430*q**3/39 - 218*q**2/13 + 864*q/13 + 970. Factor j(p).
2*(p - 216)*(p - 1)*(p + 2)/13
Suppose 5*v + 113 = 9*v - o, 4*v + o = 119. Factor 73*c**2 - 16*c**2 - 26*c**3 + v*c**3.
3*c**2*(c + 19)
Let q(n) be the third derivative of -n**3 + 0*n - 1/8*n**5 + 0 - 51*n**2 - 21/16*n**4. Let q(b) = 0. What is b?
-4, -1/5
Suppose -3*h = -2*d - 44, -3*h + 9*d + 56 = 4*d. Suppose 5*c - 34 = 126. Factor -3*k**4 + 19*k**2 + h*k - c*k**2 + 22*k**2 - 6*k**3 - 12.
-3*(k - 1)**2*(k + 2)**2
Factor -1 + 5*k**3 - 31/2*k**2 + 23/2*k.
(k - 2)*(k - 1)*(10*k - 1)/2
Let m = -5 + 7. Suppose 462177*x + 108 = 462213*x. Solve 9/2*r**5 + 69/2*r**x + 21*r**4 + 6*r + 24*r**m + 0 = 0 for r.
-2, -1, -2/3, 0
Let a(v) be the second derivative of 44*v + 2 + 10/7*v**2 - 3/7*v**3 - 1/42*v**4. Factor a(o).
-2*(o - 1)*(o + 10)/7
Suppose -2*a = 3*o - 95, -54 - 7 = -a + 3*o. Suppose -4*z - a + 60 = 0. Determine b, given that -2*b + 2 + 3*b - z*b**2 + 2*b**3 + b**3 - 4*b**3 = 0.
-2, -1, 1
Let k(i) be the third derivative of -i**6/480 + 37*i**5/120 + 77*i**4/96 - 25*i**3/4 + 5*i**2 + 44. Factor k(v).
-(v - 75)*(v - 1)*(v + 2)/4
Let c(r) be the third derivative of r**7/105 - 19*r**6/60 + 7*r**5/6 - 17*r**4/12 + 4769*r**2. Factor c(a).
2*a*(a - 17)*(a - 1)**2
Solve 165 + 145/4*b - 5/4*b**2 = 0 for b.
-4, 33
Let b = 42472/3 + -14157. Let u(o) be the second derivative of -6/5*o**2 + 1/10*o**4 - b*o**3 - 24*o + 1/25*o**5 + 0. Factor u(a).
2*(a + 1)*(a + 2)*(2*a - 3)/5
Let s(a) be the second derivative of a**7/18 + 223*a**6/180 - 131*a**5/20 + 587*a**4/72 - 19*a**3/18 + 10949*a. Find r, given that s(r) = 0.
-19, 0, 1/14, 1, 2
Suppose 3*r + 92 - 74 = 4*s, 2*s = -4*r + 20. Let -5/7*u**r + 13/7*u**3 - 3/7*u - 9/7*u**4 + 2/7*u**5 + 2/7 = 0. What is u?
-1/2, 1, 2
Suppose -14 = -4*g + 34*p - 35*p, 0 = 5*g - 5*p - 5. Suppose 0 = -g*h + 4*x + 16, 3*h - x - 4 = -0*h. Factor 1/2*b**4 - 1/2*b + h - 1/2*b**2 + 1/2*b**3.
b*(b - 1)*(b + 1)**2/2
Let -226*u**2 + 9920/11*u - 9912/11 + 2/11*u**3 = 0. What is u?
2, 1239
Let m(l) be the first derivative of -2*l**6/15 - 2*l**5 - 8*l**4 - 44*l**3/3 - 14*l**2 - 62*l - 85. Let n(q) be the first derivative of m(q). Factor n(s).
-4*(s + 1)**3*(s + 7)
Let l(k) be the second derivative of -k**5/35 + 19*k**4/21 - 6*k**3 + 90*k**2/7 + 5592*k. Solve l(m) = 0.
1, 3, 15
Suppose -3632 = 92*k - 319*k. Let h(b) be the first derivative of 1/24*b**3 + k - 3/16*b**2 + 1/4*b. Factor h(d).
(d - 2)*(d - 1)/8
What is j in 1287*j**2 - 4044/5*j**3 - 1608/5 + 3*j**4 - 798/5*j = 0?
-2/5, 1, 268
Let t(g) = g**2 + 2*g + 1. Let s(w) = -4*w + 51 - 56 + 0*w - w + 25*w**2. Let v(b) = s(b) + 5*t(b). Determine n so that v(n) = 0.
-1/6, 0
Solve 3*q**2 - 7128 + 89817*q**3 + 1260*q - 89821*q**3 - 19*q**2 = 0.
-22, 9
Let 592 + 143783*s**2 - 577*s - 11*s - 143787*s**2 = 0. Calculate s.
-148, 1
Let p(c) = c**3 + 18*c**2 + 18*c + 14. Let d be p(-17). Let j(i) = -3*i - 1. Let y be j(d). Find t such that y*t**2 - 10*t - 7*t**3 + 2*t**3 + 7*t**2 = 0.
0, 1, 2
Let j = 4445 - 173351/39. Let i(b) be the third derivative of 2*b + 10*b**2 - j*b**3 + 0 + 2/195*b**5 - 1/156*b**4 + 1/780*b**6. Factor i(p).
2*(p - 1)*(p + 1)*(p + 4)/13
Factor 18788/3*d + 507*d**4 - 11102*d**3 + 180613/3*d**2 + 484/3.
(d - 11)**2*(39*d + 2)**2/3
Let c(h) be the second derivative of h**7/210 - h**6/18 - h**5/5 + 83*h**3/6 - 38*h. Let m(f) be the second derivative of c(f). Let m(v) = 0. Calculate v.
-1, 0, 6
Let v be (-30)/(-6) - (0 + 1). Suppose 0 = -3*i - 14 - 1, 3*b + 3*i = 51. Find a such that -a**4 + v*a**2 - 22*a + b*a - 3*a**4 = 0.
-1, 0, 1
Suppose -67558*h + 906 = -67105*h. Solve 0 + 4/5*w + 1/5*w**h = 0 for w.
-4, 0
Find q, given that -2*q**4 - 256/7 + 430/7*q**3 - 760/7*q + 600/7*q**2 = 0.
-2, -2/7, 1, 32
Let j(k) be the first derivative of k**4/4 - 17*k**3/2 - 27*k**2 + 20*k + 28. Let p(x) be the first derivative of j(x). Find a such that p(a) = 0.
-1, 18
Let s(l) = 3*l**2 + 98*l - 438. Let z be s(4). Let q(f) be the third derivative of 1/4*f**3 + 1/40*f**5 + 0 - 1/8*f**4 + 0*f + f**z. Solve q(i) = 0.
1
Find z, given that 753/7*z**2 + 204/7*z + 873/7*z**3 - 3*z**5 + 0 + 303/7*z**4 = 0.
-1, -4/7, 0, 17
Factor 534/5*y + 1076/5 - 2/5*y**2.
-2*(y - 269)*(y + 2)/5
Let x be 482/(-18) + (-22)/99. Let t = 30 + x. Factor -4*s - s**2 - 11*s**2 - 3*s**t - 2*s**3 - 7*s**3 - 4*s**4.
-4*s*(s + 1)**3
Let a(z) be the first derivative of -z**6/12 + 5*z**5/4 - 45*z**4/8 + 25*z**3/3 - 37*z**2 - 2*z + 76. Let h(r) be the second derivative of a(r). Factor h(q).
-5*(q - 5)*(q - 2)*(2*q - 1)
Solve 201/2*y**2 + 1/2*y**4 - 53/2*y**3 + 49 - 247/2*y = 0 for y.
1, 2, 49
Suppose -10*s + 79 + 1 = 0. Factor 3*z**4 + 10*z**4 + s*z**3 - 31*z**2 - 8*z**4 + z**5 + 35*z**2.
z**2*(z + 1)*(z + 2)**2
Let q(z) be the third derivative of 0*z**3 + 0 + 1/42*z**4 + 4/105*z**6 + 1/105*z**7 + 57*z**2 + 0*z + 11/210*z**5. Let q(i) = 0. Calculate i.
-1, -2/7, 0
Let u(v) be the second derivative of -v**4/30 + 629*v**3/15 - 628*v**2/5 - 1639*v. Find n such that u(n) = 0.
1, 628
Factor -4*k**3 - 20183*k - 584*k**2 + 7461 + 12118 - 100235 + 11118*k - 13371*k.
-4*(k + 4)*(k + 71)**2
Let f(t) = -t**2 + 3*t - 2. Let y(d) = 3*d**2 - 17*d + 22. Let v(i) = -4*f(i) - y(i). Factor v(c).
(c - 2)*(c + 7)
Solve -4*b**3 - 62*b - 1647*b**2 + 36*b**3 + 4987*b**2 - 1656*b**2 + b**4 - 1655*b**2 = 0.
-31, -2, 0, 1
Let r(c) be the second derivative of -12*c**2 + 1/2*c**4 - 4/3*c**3 + 211*c + 1/10*c**5 + 0. Find g, given that r(g) = 0.
-3, -2, 2
Let l(p) = -14*p**2 - 14*p - 64. Let q(n) = 6*n**2 + 6*n + 28. Let o(z) = 7*l(z) + 16*q(z). Let i be o(-1). Let -4/7*a + i + 2/7*a**3 + 2/7*a**2 = 0. What is a?
-2, 0, 1
Suppose 0*b - 4 = -2*b + 4*g, -2*b - 4*g = -12. Solve 4694*l**b + 5*l**3 + 40*l - 50*l**2 - 2343*l**4 - 2346*l**4 = 0 for l.
-4, 0, 1, 2
Let a(m) = -10*m**3 - 216*m**2 - 5856*m + 4. Let v(n) = -8*n**3 - 216*n**2 - 5850*n + 3. Let y(i) = 3*a(i) - 4*v(i). Factor y(k).
2*k*(k + 54)**2
Let d(c) = 20*c**2 + 440*c - 9705. Let t(j) be the third derivative of j**5/60 - j**3/6 - 2*j**2 - 47*j. Let w(f) = d(f) - 25*t(f). Factor w(m).
-5*(m - 44)**2
Let -20622143227921/4 - 9677214091*n - 2131*n**3 - 13623483/2*n**2 - 1/4*n**4 = 0. Calculate n.
-2131
Factor 2*u**3 - 27 + 8*u**3 - 141*u**2 + 115*u + 20*u**3 - u**4 - 33*u + 57*u**2.
-(u - 27)*(u - 1)**3
Let y(n) be the first derivative of 6/5*n**3 + 69 + 8/5*n - 2/25*n**5 - 11/5*n**2 - 1/10*n**4. Let y(b) = 0. Calculate b.
-4, 1
Let q(t) be the third derivative of t**5/60 - 73*t**4/4 + 586*t**2. Suppose q(r) = 0. Calculate r.
0, 438
Let f(c) = -c**3 - 71*c**2 + 933*c + 1007. Let r(v) = 4*v**3 + 213*v**2 - 2798*v - 3021. Let b(y) = -7*f(y) - 2*r(y)