) be the third derivative of d**5/150 - 3*d**4/10 + 27*d**3/5 - 90*d**2. Suppose p(a) = 0. What is a?
9
Find j, given that 0*j + 2/11*j**2 - 32/11*j**3 + 0 + 128/11*j**4 = 0.
0, 1/8
Let q be (7/(21/(-2)))/((-70)/6). Let f(b) be the first derivative of -3 + 0*b + 0*b**4 - 2/7*b**2 - 2/7*b**3 + q*b**5. Determine a so that f(a) = 0.
-1, 0, 2
Let n(d) = -d**2 - 6*d - 3. Let p be n(-5). Let j(t) be the first derivative of 1/2*t**3 - 3 + 6*t - 3*t**p. Solve j(u) = 0.
2
Factor 5884*p - p**3 - 5875*p + 0*p**4 - 7*p**2 - p**4 + 16*p**2.
-p*(p - 3)*(p + 1)*(p + 3)
Suppose -3*l = -8*l + 5*o + 60, 2*l = -5*o - 4. Let f be (-5 + l)/3*2/3. Factor 6 + f*s**2 + 4*s.
2*(s + 3)**2/3
Factor -10/3*k**3 - 2/3*k**2 - 2*k**4 + 2/3*k + 0.
-2*k*(k + 1)**2*(3*k - 1)/3
Let m = 1617/9959 + 5/433. Find v such that -2/23*v**3 + m*v**2 + 0 - 2/23*v = 0.
0, 1
Let a(o) be the second derivative of o**4/12 + 7*o**3/3 - 14*o**2 - 18*o. Let l be a(-16). Factor 0*q + 2/5*q**l - 2/5*q**3 + 0*q**2 + 0.
2*q**3*(q - 1)/5
Let f(l) be the third derivative of 0 + 3/4*l**4 - 1/4*l**5 + 0*l**3 + 1/40*l**6 - 11*l**2 + 0*l. Solve f(d) = 0 for d.
0, 2, 3
Let k(r) = r**2 + 6*r + 4. Let q be k(-7). Suppose -j = j + q*j. Let -1/2*v**2 + 7/2*v**5 + j - v - 19/2*v**4 + 15/2*v**3 = 0. Calculate v.
-2/7, 0, 1
Determine k so that 16/5*k**4 + 112/5*k**2 + 49/5*k + 78/5*k**3 + 1/5*k**5 + 0 = 0.
-7, -1, 0
Let d = 785/14 - 111/2. Let y be (4/(-35))/((-132)/(-15) + -9). Factor -y*r**2 + 0 - d*r.
-4*r*(r + 1)/7
Let j = 9 - 3. Let z be -3 - (j/33 - (-1685)/(-495)). Factor z*q**2 + 2/9*q + 0.
2*q*(q + 1)/9
Suppose -118 = 10*m - 69*m. Factor 32/5*d - 14/5*d**3 + 8/5 + 2*d**m.
-2*(d - 2)*(d + 1)*(7*d + 2)/5
Let b be 6/1638*222/(-4). Let z = b - -5/14. Find j, given that z*j**2 + 2/13 + 4/13*j = 0.
-1
Let p be 3364/(-1080) - -3 - (-38)/285. Let x(u) be the second derivative of 0 + 5*u + 0*u**2 + 1/27*u**3 + p*u**4. What is f in x(f) = 0?
-1, 0
What is b in -3*b**3 - 4*b**4 + 5*b**3 + 136*b**5 - 134*b**5 = 0?
0, 1
Let u(g) be the first derivative of -g - 4 + 0*g**2 + 1/3*g**3. Let i(w) = 8*w**2 + w - 9. Let h(m) = 2*i(m) - 22*u(m). Suppose h(q) = 0. What is q?
-2/3, 1
Let g be 16/(-2) - ((-34160)/150)/28. Let c(j) be the first derivative of -1 + 1/5*j**2 + 0*j + g*j**3. Solve c(w) = 0.
-1, 0
Let n(z) be the second derivative of -1/16*z**4 - 5/8*z**3 - 3/2*z**2 - 7*z + 0. Factor n(g).
-3*(g + 1)*(g + 4)/4
Let b(v) = -8*v**2 - 262*v + 249. Let h(p) = 4*p**2 + 260*p - 250. Let w(o) = -2*b(o) - 3*h(o). Factor w(l).
4*(l - 63)*(l - 1)
Factor 28/3*g + 0 - 2/3*g**3 + 26/3*g**2.
-2*g*(g - 14)*(g + 1)/3
Find o such that 14/3*o**4 + 28/3*o**3 - 8/3 - 40/3*o - 8/3*o**5 - 26/3*o**2 = 0.
-1, -1/4, 2
Suppose 5*u - 3 = 4*y, -5*u + 9*y = 4*y. Determine f, given that -6*f**5 - 42*f**4 + 6*f**u + 17*f**4 + 3*f**2 + 22*f**4 = 0.
-1, -1/2, 0, 1
Suppose -4*t = -10*t - 10*t. Let r(p) be the first derivative of 1/12*p**6 + 0*p**3 + 0*p - 5 + 0*p**4 + t*p**2 - 1/10*p**5. Factor r(m).
m**4*(m - 1)/2
Let r = -2/479 + 1441/958. Factor -5/4*m + 1/4*m**2 + r.
(m - 3)*(m - 2)/4
Let m = -10310 + 10313. Factor -2/9*s + 0 + 0*s**2 + 2/9*s**m.
2*s*(s - 1)*(s + 1)/9
Let c(g) = 6*g + 20. Let z be c(-10). Let q(a) = -33*a**3 - 65*a**2 + 29*a + 5. Let k(n) = n**3 - 1. Let p(x) = z*k(x) - 5*q(x). Find h such that p(h) = 0.
-3, 1/5
Let s(i) = 2 + 2 - 8*i**2 - 5 + 0. Let l(g) = g**2 - 6*g + 6. Let y(k) = -k**2 + 5*k - 5. Let m(p) = 5*l(p) + 6*y(p). Let o(q) = 18*m(q) - 2*s(q). Factor o(t).
-2*(t - 1)*(t + 1)
What is r in -30*r**2 + 2*r**2 + 7*r**2 + 26 - 24*r + 19*r**2 = 0?
-13, 1
Let w(z) be the first derivative of 5*z**4/4 + 50*z**3/3 - 80*z**2 - 480*z - 1045. What is q in w(q) = 0?
-12, -2, 4
Let d be 37/(13024/2528) + 1*-7. What is h in 0*h + 0 - d*h**2 = 0?
0
Let r(d) = 1. Let o(c) = 4*c - 8. Let v(k) = -o(k) - 12*r(k). Let u(z) = z**3 - z - 1. Let x(l) = -4*u(l) + v(l). Solve x(a) = 0 for a.
0
Let p = -13 + 16. Let j be 6/70 + (p - (-56)/(-20)). Factor 0 - 4/7*a + 2/7*a**3 - j*a**2.
2*a*(a - 2)*(a + 1)/7
Let d = -21 - -10. Let a = -8 - d. Factor 3*t**4 - 4*t**3 + t**3 + 0*t + 3*t - a*t**2.
3*t*(t - 1)**2*(t + 1)
Let p(y) = 2*y - 4. Let j be p(6). Let m = 11 - j. Suppose d + d**2 + 0*d + d - m*d = 0. Calculate d.
0, 1
Let n(h) be the first derivative of -8*h - 14*h**2 + 16/3*h**3 - 14. Factor n(a).
4*(a - 2)*(4*a + 1)
Factor 0 - 24/7*o + 22/7*o**2 + 4/7*o**3 - 2/7*o**4.
-2*o*(o - 4)*(o - 1)*(o + 3)/7
Let t be (5 + (-55)/10)/(3/36). Let i(l) = 16*l + 100. Let w be i(t). Factor -3/4*b**5 - 15/2*b**2 - 15/2*b**3 - 15/4*b**w - 15/4*b - 3/4.
-3*(b + 1)**5/4
Let k(d) = 672*d + 10083. Let x be k(-15). Factor -9/2 + 3*u**x + 4*u**2 + 1/2*u**4 - 3*u.
(u - 1)*(u + 1)*(u + 3)**2/2
Let r = 81 + -76. Let o(s) = s**3 + 7*s**2 + 6. Let j be o(-7). Factor j + 6*y + 6*y**2 + 3 - 2 - r + 2*y**3.
2*(y + 1)**3
Let y = -27 - 9. Let j = y + 109/3. Solve 0 + j*n**4 + 0*n - 1/3*n**2 - 1/3*n**3 + 1/3*n**5 = 0.
-1, 0, 1
Let u = 15 + -14. Suppose -b = -y - u, 5*y - 4*b = -0 - 2. Suppose h**2 - 6 - 3*h**2 + 5*h**y - 3*h = 0. What is h?
-1, 2
Factor 0 + 1/2*n - 1/6*n**2.
-n*(n - 3)/6
Let h(v) = -6*v**4 - 180*v**3 - 1140*v**2 + 2871*v - 1545. Let n(k) = -3*k**4 - 90*k**3 - 571*k**2 + 1436*k - 772. Let b(m) = 4*h(m) - 9*n(m). Factor b(p).
3*(p - 1)**2*(p + 16)**2
Let i = 119 - 115. Factor d**4 - 331*d**5 + 330*d**5 - d**3 + d**i.
-d**3*(d - 1)**2
Let x(m) = m + 10. Let d be x(-10). Suppose -3*n - 4*y + 1 = -0, -2*y - 4 = d. Factor 0*f**n + 2*f**3 + 6*f**2 + f**3.
3*f**2*(f + 2)
Let z(c) = c**3 + 18*c**2 - 14*c + 98. Let o be z(-19). Factor 21/2*a + 3/2*a**o - 9/2 - 15/2*a**2.
3*(a - 3)*(a - 1)**2/2
Let 16/7*p**2 - 36/7*p + 4/7*p**3 - 2/7*p**4 + 18/7 = 0. Calculate p.
-3, 1, 3
Suppose 5*s = u - 0*u - 40, -u = s - 10. Let q be (12/u)/4 - (-14)/280. Factor -q - 1/4*p**2 - 1/2*p.
-(p + 1)**2/4
Let n(h) be the second derivative of h**5/10 + 5*h**4/6 - 17*h**3/3 - 21*h**2 - 6*h. Let n(p) = 0. Calculate p.
-7, -1, 3
Let l = 22315 + -66937/3. Suppose -16/3*w + l + 10/3*w**2 - 2/3*w**3 = 0. Calculate w.
1, 2
Let c(w) be the third derivative of 2*w**7/945 + 11*w**6/135 - 2*w**2 + 64. Factor c(t).
4*t**3*(t + 22)/9
Let l be 27/2 + 4*(-8)/(-64). Suppose 0 = 4*t - 3*m - l, 8*m = -t + 4*m - 6. Determine n, given that -6*n**2 - t*n - 2/9 - 6*n**3 = 0.
-1/3
Let s(a) be the third derivative of -a**7/840 - a**6/240 + a**5/20 + 5*a**4/24 + 5*a**3/6 + 7*a**2. Let y(k) be the second derivative of s(k). Factor y(w).
-3*(w - 1)*(w + 2)
Let b(t) = 14*t**2 - 4*t - 12. Let m(i) = 40*i**2 - 11*i - 36. Let x(u) = -17*b(u) + 6*m(u). Determine k, given that x(k) = 0.
-3, 2
Suppose 69*s + 3*b = 70*s - 17, 2*s = -b - 1. Suppose 0 + 2/7*g**4 + 2/7*g**s + 4/7*g**3 + 0*g = 0. Calculate g.
-1, 0
Let b be (8 - 16)*(-3)/16. Let 3/4*i + 3/2*i**2 - 3/4*i**3 - b = 0. Calculate i.
-1, 1, 2
Let c be 1/2*16/(-24)*-9. Suppose c*d = h + 4*d - 4, -20 = 2*h - 5*d. Determine g, given that 3/4*g**2 - 3/4*g**4 + 0 + 3/4*g**3 + h*g - 3/4*g**5 = 0.
-1, 0, 1
Let f(i) = -i**2. Let y(k) = -4*k - 7*k + 6*k**2 - 16 - k. Let c(n) = -2*f(n) - y(n). Suppose c(a) = 0. What is a?
-1, 4
Let n(r) = r**3 - 3*r**2 + r + 9. Let u be n(4). Suppose -4*z - 5 = -u. Let z*b + 4*b**2 + 2*b - 16*b = 0. What is b?
0, 2
Let o(d) be the third derivative of 0*d - 7*d**2 - 1/480*d**6 + 0 + 0*d**4 + 1/240*d**5 + 0*d**3. Suppose o(y) = 0. What is y?
0, 1
Let h = 79 + -21. Let r = -55 + h. Let -10/9*z**2 - 2/9*z**4 - 8/9*z**r + 0 - 4/9*z = 0. Calculate z.
-2, -1, 0
Let b(c) be the second derivative of 3/16*c**3 + 1/32*c**4 - 10*c + 3/8*c**2 + 0. Suppose b(h) = 0. What is h?
-2, -1
Let b(p) be the second derivative of p**4/84 + 5*p**3/7 + 29*p**2/14 - 79*p + 2. Factor b(s).
(s + 1)*(s + 29)/7
Let z(q) be the second derivative of -q**5/100 - 9*q**4/10 - 243*q**3/10 + 14*q - 2. Factor z(v).
-v*(v + 27)**2/5
Let l(q) be the second derivative of -13/75*q**6 + 1/105*q**7 + 33/50*q**5 - 31/30*q**4 - 17*q + 2/3*q**3 + 0 + 0*q**2. Factor l(w).
2*w*(w - 10)*(w - 1)**3/5
Let k(f) be the second derivative of -f**7/21 - 79*f**6/15 - 153*f**5/5 - 227*f**4/3 - 301*f**3/3 - 75*f**2 + 8*f - 9. Factor k(q).
-2*(q + 1)**4*(q + 75)
Suppose -g = -68*g + 201. Let -1/8*t - 1/8*t**2 + 1/8*t**g + 0 + 1/8*t**4 = 0. Calculate t.
-1, 0, 1
Let o = 35 + -33. Suppose 6*f + 17*f**o - 9