v + 119)**2/2
Let w(v) be the first derivative of 65 - 125 - 12*v**2 - 48*v + 0*v**3 - v**3. Determine k so that w(k) = 0.
-4
Find k such that 2583*k**2 + 1212*k - 2580*k**2 + 190 + 1019 = 0.
-403, -1
Let w = -2/953 + 1912/2859. Let r(t) be the third derivative of 1/30*t**6 + 0*t**5 - 22*t**2 + 0*t**3 + 0 - w*t**4 + 0*t. Factor r(j).
4*j*(j - 2)*(j + 2)
Let d = -43/616 + 4/77. Let o = d + 15/56. Determine s so that -1/2*s + 1/4*s**2 + o = 0.
1
Let z(k) = k - 1. Let p = 68 + -41. Let q = -48 + p. Let f(r) = -5*r**2 - 5*r - 11. Let u(c) = q*z(c) + 3*f(c). Find y such that u(y) = 0.
-2, -2/5
Let o = 1407 + -1413. Let b(a) = -a**2 - 5*a**2 + 0 - 3*a - 2. Let q(y) = 7*y**2 + 4*y + 3. Let d(h) = o*b(h) - 5*q(h). Factor d(c).
(c - 3)*(c + 1)
Suppose 18*a + 11*a - 54 = 2*a. Let u(b) be the first derivative of -12 - 2/3*b**3 + 4/9*b - 13/18*b**4 + 1/9*b**a - 2/9*b**5. Factor u(v).
-2*(v + 1)**3*(5*v - 2)/9
Let k = -665683 + 665695. Suppose -126*z - 2/7*z**3 + 0 + k*z**2 = 0. Calculate z.
0, 21
Factor 0 + 596/5*k**4 + 0*k - 18000*k**2 + 2/5*k**5 + 8760*k**3.
2*k**2*(k - 2)*(k + 150)**2/5
Let d(f) = 5*f - 97. Let t be d(20). Factor 12*q**2 - 91*q**3 - 82*q**t + 36*q + 174*q**3.
q*(q + 6)**2
Let o(b) be the first derivative of 19/6*b**3 + 361/8*b**2 - 243 + 1/16*b**4 + 0*b. Factor o(w).
w*(w + 19)**2/4
Let i(u) be the first derivative of -u**4/18 + 10*u**3/9 - 23*u**2/9 - 26*u/3 + 1725. Factor i(o).
-2*(o - 13)*(o - 3)*(o + 1)/9
Let i = -22 + 31. Let t = i + -7. Determine g, given that 20 - 3*g + 2*g**4 - 9*g**t + g**4 - 14 + 3*g**3 = 0.
-2, -1, 1
Let s be 15/20 + ((-385)/20)/7. Let j be (-5)/(90/(-162))*s/(-12). What is n in -j*n**2 - 96 + 24*n = 0?
8
Let w(a) be the third derivative of -22/35*a**7 - 61/20*a**5 + 0 - 11/4*a**4 + 0*a - 3/2*a**3 - 1/14*a**8 - 39/20*a**6 - 172*a**2. What is b in w(b) = 0?
-3, -1, -1/2
Let a(k) be the first derivative of -3*k**5/5 + 33*k**4/4 - 41*k**3 + 183*k**2/2 - 90*k + 628. Suppose a(x) = 0. What is x?
1, 2, 3, 5
Let k = 38 - 34. Find b such that -2*b**4 + 10*b - b**2 - b**k - 4*b**2 - 25*b**3 - 7*b**4 = 0.
-2, -1, 0, 1/2
Suppose -4*g - 132 = -48*g. Let -29*s**g - 34*s**5 + 13*s**5 + 55*s**4 - 7*s**4 + 2*s**3 = 0. Calculate s.
0, 1, 9/7
Let d(u) = 4*u**2 + 3*u. Let t(i) = -3*i**3 - 165*i**2 - 3438*i - 3267. Let o(g) = -9*d(g) + t(g). Solve o(y) = 0 for y.
-33, -1
Let k(r) be the third derivative of -2*r**7/105 - 3*r**6/5 + 7*r**5/5 + 19*r**4/3 - 2*r**2 - 192*r. Find z such that k(z) = 0.
-19, -1, 0, 2
Let h(t) be the second derivative of 0*t**2 + 103*t - 50/3*t**3 + 0 + 5/12*t**4. Factor h(s).
5*s*(s - 20)
Let c(y) = -21*y**4 + 25*y**3 + 45*y**2 - 69*y - 17. Let f(a) = -5*a**4 + 6*a**3 + 11*a**2 - 16*a - 4. Let d(m) = 12*c(m) - 51*f(m). Factor d(n).
3*n*(n - 4)*(n + 1)**2
Suppose 87 = p - r, 0*p + p - 57 = -5*r. Suppose -p*v - 960 = -84*v. Solve v*z - 895*z**2 + 28 + 213*z**3 - 20*z**4 + 42*z**3 + 152 = 0 for z.
-1/4, 1, 6
Suppose -83 = -3*f - 2. Let y = 53 - f. What is c in y - 3*c**2 + 25 - 54 - 6*c = 0?
-1
Let v(k) = -4*k**3 + 6*k**2 - 140*k - 145. Let p be v(-1). Find z, given that 10/19*z**3 + 2/19*z**4 - 8/19*z - 2/19*z**p - 10/19*z**2 + 8/19 = 0.
-2, -1, 1, 2
Let l be (112/154)/(-7 - -3 - -8). Factor 18/11*p**2 + 6/11*p**3 - 54/11*p + 0 - l*p**4.
-2*p*(p - 3)**2*(p + 3)/11
Find s, given that 108*s - 6/11*s**2 + 0 = 0.
0, 198
Let y(q) be the second derivative of -8 + 1/110*q**5 + 0*q**2 + 4/33*q**3 - 8*q - 2/33*q**4. What is f in y(f) = 0?
0, 2
Let n(u) be the first derivative of -3*u**6/2 - 3*u**5 + 29*u**4/4 + 59*u**3/3 + 14*u**2 + 4*u - 323. Solve n(d) = 0 for d.
-2, -1, -1/3, 2
Let f be (6 + -7 - (-9)/6)*14. Factor -10*p**2 + 5*p + 8 - f + 9 + 20*p - 25*p**3.
-5*(p - 1)*(p + 1)*(5*p + 2)
Let d(q) be the second derivative of -5*q**7/42 + q**6/6 + 9*q**5/4 + 55*q**4/12 + 10*q**3/3 + 377*q. Let d(w) = 0. What is w?
-1, 0, 4
Suppose 4*g = 2*r + 12, -2*g = 5*r - 1 - 17. Factor 54*l**r - 58*l**2 + 2 - 2 - 132*l.
-4*l*(l + 33)
Let r(t) be the first derivative of -16/7*t - 73 - 6/7*t**3 - 38/7*t**2. Find b, given that r(b) = 0.
-4, -2/9
What is v in 10/3*v**2 - 31/3*v + 2 + 40/3*v**3 - 3*v**5 - 16/3*v**4 = 0?
-3, -1, 2/9, 1
Let y be (-47 - -47)/(-8*1). Let k(f) be the first derivative of 0*f**4 + 0*f**3 - 1 + 1/51*f**6 + 0*f + 2/85*f**5 + y*f**2. Solve k(i) = 0.
-1, 0
Let i(v) be the third derivative of -v**7/840 + 391*v**6/240 - 50699*v**5/80 - 19159*v**4/6 - 19208*v**3/3 - 1468*v**2 + 2. Factor i(y).
-(y - 392)**2*(y + 1)**2/4
Let g = -190/139 - -2581/973. Let y be 0/((-1 + 0)*-2). Suppose y + 3/7*n**2 - 6/7*n + g*n**3 = 0. Calculate n.
-1, 0, 2/3
Let n(u) be the first derivative of 3*u**5/25 + 69*u**4/10 + 672*u**3/5 + 6027*u**2/5 + 5145*u - 731. Find h such that n(h) = 0.
-25, -7
Let a(x) = 9*x**3 + 7*x - 7. Let f be a(1). Let r be 2/f - 2884/(-63). Factor 30*b**3 + 0*b**4 - 2*b**4 - 32*b**2 - r*b**3.
-2*b**2*(b + 4)**2
Let f(p) be the first derivative of 1/14*p**7 - 2*p**3 + 9/20*p**5 - 11 + 2/5*p**6 + 0*p**2 - p**4 + 8*p. Let u(h) be the first derivative of f(h). Factor u(s).
3*s*(s - 1)*(s + 1)*(s + 2)**2
Suppose 0*j = -16*j + 448. Factor -32 + 6 - 183*d**2 + j*d + 181*d**2.
-2*(d - 13)*(d - 1)
Let n be (5 + 18 - 5) + -20 - -1*4. Factor -45/4*q + 35/2 + 5/4*q**n.
5*(q - 7)*(q - 2)/4
Solve -1418/19*c**3 - 1424/19 - 4266/19*c**2 - 4270/19*c + 2/19*c**4 = 0 for c.
-1, 712
Let k(s) = s**2. Let z(y) = -9*y**2 - 211*y + 210. Let o(c) = 10*k(c) + z(c). Determine f, given that o(f) = 0.
1, 210
Let v(a) be the first derivative of 4*a**3/3 - 258*a**2 + 1414. Let v(c) = 0. What is c?
0, 129
Let s = -14723/126 - -818/7. Let o(y) be the second derivative of s*y**7 - 1/30*y**6 - 1/36*y**4 + 8*y + 0 + 0*y**2 + 0*y**3 + 1/20*y**5. Factor o(i).
i**2*(i - 1)**3/3
Let h be (-173 + 19)/(-14) - (-2 + 10). Suppose -2*c**2 + 22/5*c - 6/5 - 6/5*c**h = 0. What is c?
-3, 1/3, 1
Let i(m) be the second derivative of m**5/3 - 82*m**4 + 878*m**3/9 + 196*m**2 + 733*m - 1. Suppose i(y) = 0. Calculate y.
-2/5, 1, 147
Let k(w) be the second derivative of w**5/10 - w**4/3 - w**3 - 227*w. Determine m, given that k(m) = 0.
-1, 0, 3
Suppose 15*i - 1253 + 621 = -602. Suppose 0 - 4/5*u**i + 0*u - 2/5*u**3 = 0. Calculate u.
-2, 0
Let g = 86 - 74. Suppose 0 = -a - 3*r + 15, 4*r - g - 8 = 2*a. Factor 6*v + 10*v + 2*v**3 + a*v**2 + 8*v**2 + 4*v**2.
2*v*(v + 2)*(v + 4)
Let u(r) = 9*r**2 - 305*r + 449. Let b(a) = -3*a**2 + 102*a - 153. Let p(h) = -17*b(h) - 6*u(h). Factor p(d).
-3*(d - 31)*(d - 1)
Suppose -27*i + 36 + 18 = 0. Factor 180 - 35*k - 25*k - 266*k**2 + 271*k**i.
5*(k - 6)**2
Let a(v) be the second derivative of v**4/4 + 43*v**3 + 1332*v**2 - 10*v + 3. Factor a(d).
3*(d + 12)*(d + 74)
Let p be (-10 - -11)/(-1 - -2) - 409. Let j = -408 - p. Factor 3/5*z + j - 3/5*z**4 + 3/5*z**2 - 3/5*z**3.
-3*z*(z - 1)*(z + 1)**2/5
Let k(o) = 30*o**2 - 102*o - 90. Let p(m) = 3*m**2 - 10*m - 9. Suppose -35 - 70 = 5*g. Let t(d) = g*p(d) + 2*k(d). Solve t(q) = 0 for q.
-1, 3
Solve -96/5 - 2/5*s**3 + 14*s + 28/5*s**2 = 0 for s.
-3, 1, 16
Let r(w) = 112767*w - 563832. Let x be r(5). What is n in 23/2*n**2 + 5*n**x - 120*n - 288 - 1/2*n**4 = 0?
-3, 8
Let v(j) be the third derivative of j**5/15 + 70*j**4/3 + 450*j**3 + j**2 + 218*j - 3. Factor v(d).
4*(d + 5)*(d + 135)
Factor -1944 - 6050/3*d**2 - 3960*d.
-2*(55*d + 54)**2/3
Find v such that -72*v**2 + 5*v**3 + 5*v**4 + 30*v**4 - 3*v**5 - 31*v**4 + 28*v**3 - 84*v + 14*v**4 = 0.
-2, -1, 0, 2, 7
Let m = 1329 + -1329. Suppose -273*d - 2 = -272*d - 2*c, 5*d - 3*c - 11 = m. Suppose 1/7*i**3 - 1/7*i - 1/7 - 2/7*i**d + 3/7*i**2 = 0. What is i?
-1, -1/2, 1
Let b(v) = v**2 - 2*v - 8. Let q be b(4). Suppose 5*m - 2 - 8 = q. What is t in -9*t**2 - 2*t**3 + 5*t**3 - 6*t**3 + 3*t**4 - 9*t**m = 0?
-2, 0, 3
Let r(j) be the second derivative of j**4/4 + 40*j**3 + 864*j**2 + 4524*j. Suppose r(q) = 0. Calculate q.
-72, -8
Suppose 4962 = 3*p + 2*i + 775, -20 = 4*i. Let f = -4189/3 + p. Solve 32/3 + 2*w**4 + 2/3*w**5 - 32/3*w**2 - f*w**3 + 0*w = 0.
-2, 1, 2
Let w be 8/5*(-5 + (-25)/(-4)). Suppose u - 16*i = -14*i + 2, w*u - 2*i = 2. Solve -3/2*v**4 + 0 + 6*v**2 + u*v + 0*v**3 = 0 for v.
-2, 0, 2
Suppose 39*m**4 - 72 - 20*m - 67*m**4 + 31*m**4 + 33*m**3 + 69*m**2 - 13*m = 0. What is m?
-8, -3, -1, 1
Suppose 5537*a = 5755*a. What is i i