- f*j**3 - 6*j.
4*j*(j - 2)*(j - 1)*(2*j - 1)
Let n(j) be the first derivative of -1/4*j**4 - 1/3*j**3 + j**2 + 51 + 0*j. Suppose n(p) = 0. What is p?
-2, 0, 1
Let n(y) be the third derivative of -y**5/15 + y**4/2 + 140*y**3/3 - 2*y**2 - 743. Factor n(h).
-4*(h - 10)*(h + 7)
Let t(v) be the third derivative of -v**7/420 - v**6/120 + v**5/15 - 17*v**2 - 92. Factor t(w).
-w**2*(w - 2)*(w + 4)/2
Let l(y) be the second derivative of -y**4/8 + 80*y**3 - 19200*y**2 + 435*y - 6. Suppose l(s) = 0. What is s?
160
Let n = 6138407/346521 + -5/49503. What is l in -24/7 + n*l + 44/7*l**2 = 0?
-3, 2/11
Let t(d) be the first derivative of 32/3*d**2 - 79 + 22*d - 2/9*d**3. Factor t(u).
-2*(u - 33)*(u + 1)/3
Suppose -x = -4*y - 2*x + 8, -4*x = 5*y - 10. Let b = -7013/119 + 415/7. Factor 0 + b*j - 2/17*j**3 - 4/17*j**y.
-2*j*(j - 1)*(j + 3)/17
Let m(b) = -15184*b - 30366. Let n be m(-2). Solve 80/7*k**n + 0 + 4*k**4 + 4/7*k**5 + 32/7*k + 72/7*k**3 = 0.
-2, -1, 0
Let g(w) = -330*w + 330. Let m be g(1). Let v(n) be the second derivative of 0 + 1/110*n**5 + m*n**4 + 0*n**3 + 0*n**2 - 3*n. Suppose v(h) = 0. What is h?
0
Determine t, given that -21*t + 2449*t**5 - 12*t**4 + 8*t**2 - 3*t + 18*t**3 - 2447*t**5 = 0.
-1, 0, 2, 3
Let w(y) be the first derivative of -5*y**3/7 - 411*y**2/7 + 165*y/7 - 744. Find u, given that w(u) = 0.
-55, 1/5
Let g(x) be the second derivative of -x**6/60 - x**5/6 - 2*x**4/3 - 4*x**3/3 + 9*x**2 - 3*x - 14. Let k(r) be the first derivative of g(r). Factor k(p).
-2*(p + 1)*(p + 2)**2
Let j be 0*(4 + -3)/1 - -2. Suppose 5*n + j*o = -5, 0*n + o = -n - 4. Suppose -7*d - 5 + d**3 - n + 16*d - 4*d**3 = 0. What is d?
-2, 1
Suppose -222 - 394 = 90*u - 558*u + 320. Determine a, given that 0 - 5/2*a + 13/2*a**4 - u*a**5 + 11/2*a**2 + 33/2*a**3 = 0.
-1, 0, 1/4, 5
Let u = -2/648477 + 16283980/648477. Suppose -20/9*k - 134/9*k**2 - 130/9*k**4 + 0 - u*k**3 - 2*k**5 = 0. Calculate k.
-5, -1, -2/9, 0
Let c(p) = p**3 - 6*p**2 - 11*p + 13. Let d be c(6). Let s = -41 - d. Factor 6*j**3 - s*j - 15*j**3 + j**2 + 23*j**2.
-3*j*(j - 2)*(3*j - 2)
Let i(w) be the first derivative of -w**8/252 + 2*w**7/63 - 2*w**6/45 + 29*w**2 + 18. Let c(j) be the second derivative of i(j). Let c(a) = 0. What is a?
0, 1, 4
Let v(i) = i**2 + 28*i + 35. Let k be v(-37). Factor -43*f**2 - 454*f + 90 + 67*f - k*f - 42*f**2.
-5*(f + 9)*(17*f - 2)
Let l(j) be the second derivative of -2*j**6/105 - 114*j**5/35 - 1083*j**4/7 - j - 858. Factor l(z).
-4*z**2*(z + 57)**2/7
Let r(p) be the third derivative of p**6/240 - p**5/6 - 11*p**4/12 - 1213*p**2. Find t, given that r(t) = 0.
-2, 0, 22
Let s(w) be the third derivative of 7*w**5/150 + 337*w**4/12 - 482*w**3/15 - 2*w**2 - 204. Solve s(j) = 0.
-241, 2/7
Factor 760/9*q - 4/9*q**2 + 512/3.
-4*(q - 192)*(q + 2)/9
Let w(j) be the second derivative of 242/15*j**6 + 8/3*j**3 + 3*j - 51 + 33*j**5 + 16*j**4 + 0*j**2. Factor w(y).
4*y*(y + 1)*(11*y + 2)**2
Let j(b) = -b - 2. Let k be j(-4). Let w = 83 + -79. Factor 2*h**3 - 2*h**5 - 6*h**4 + k*h**4 + w*h**5.
2*h**3*(h - 1)**2
Suppose 3 + 0 = l. Suppose 4*f - 5*x + 9 = 0, x - 13 = l*f - 4*x. Factor 12*p**3 + 29*p**4 + 24*p - 13*p**4 + 8 + 26*p**2 - 14*p**f.
2*(p + 1)**2*(p + 2)**2
Let f(a) be the first derivative of 4*a**3/3 + 130*a**2 - 264*a + 2441. Factor f(u).
4*(u - 1)*(u + 66)
Factor 40*c - 47572 - c**2 + 23777 + 23684.
-(c - 37)*(c - 3)
Let h = 585626 - 585626. Factor 1/8*u**4 + 3/4*u**2 + h + 7/8*u**3 + 0*u.
u**2*(u + 1)*(u + 6)/8
Let k(o) = 953*o + 79. Let h be k(2). Let r = 13952/7 - h. Factor -12/7*i**3 + r*i**2 + 15/7*i + 0.
-3*i*(i - 5)*(4*i + 1)/7
Solve -19*m - 3*m**2 + 41*m - 124*m + 29*m + 180 - 104*m = 0 for m.
-60, 1
Solve -117604128000 - 19260*l**2 + 3/2*l**3 + 82432800*l = 0 for l.
4280
Let o = -178 - -193. Determine j, given that 5*j + o*j + 25*j + 11 + 4*j**2 + 0*j = 0.
-11, -1/4
Let -26637325*v - 14054475358 - 2*v**4 - v**4 + 2692*v**3 - 1351368*v**2 - 2854741970 + 596*v**3 + 273487213*v = 0. What is v?
274
Suppose -19*d + 168 = -22. Suppose -8*k + 5*k = -4*y - 13, 0 = -3*k + y + d. Solve -2/19*n**k + 0 + 4/19*n - 2/19*n**2 = 0 for n.
-2, 0, 1
Suppose -9*x + 502 = -2333. Let g be ((-14)/(-49))/(18/x). Determine j, given that 2/3*j**3 + 0*j**4 + 0*j + 0*j**2 + 0 - 2/3*j**g = 0.
-1, 0, 1
Let v = -19774 - -19777. Factor 20/7*c**2 - 4/7*c**v - 24/7*c + 0.
-4*c*(c - 3)*(c - 2)/7
Suppose 2447*j - 12120 = -583*j. Find k such that 4/9*k**5 + 280/3*k**3 - 1944 - 972*k + 144*k**2 + 104/9*k**j = 0.
-9, -2, 3
Find k such that -289/2 - 631/4*k**2 + 95/4*k**3 - 3/4*k**4 - 1955/4*k = 0.
-2, -1/3, 17
Let j be 28/12 + -1 + 6/(18/5). Let f(h) be the first derivative of -1/19*h**2 + 2/19*h + 3 - 4/57*h**j. Solve f(g) = 0 for g.
-1, 1/2
Let s(c) = -23*c**2 - 66*c + 26. Let r(i) = -205*i**2 - 595*i + 235. Let b be -12*21/28*2/3. Let y(f) = b*r(f) + 55*s(f). Find n such that y(n) = 0.
-2, 2/7
Let b(h) be the second derivative of 7/8*h**3 - 5*h + 3/80*h**5 + 9/8*h**2 - 3 + 5/16*h**4. Determine q, given that b(q) = 0.
-3, -1
Suppose 2*b = -3*h - 24, -5*b + 1436*h - 1437*h = 8. Let 0*m - 6/7*m**2 - 69/7*m**3 + b = 0. What is m?
-2/23, 0
Let d(w) be the first derivative of -3/5*w**5 - 91 + 6*w**4 - 48*w + 48*w**2 - 24*w**3. Factor d(g).
-3*(g - 2)**4
Let b(o) = 16*o**2 + 252*o + 1764. Let m(d) = 5*d**2 + 84*d + 588. Let w(a) = -a - 9. Let z be w(-11). Let q(v) = z*b(v) - 7*m(v). Determine h so that q(h) = 0.
-14
Let l(q) be the first derivative of 4*q**3/15 + 4628*q**2/5 + 5354596*q/5 - 921. Factor l(r).
4*(r + 1157)**2/5
Let k = 2917 + -2915. Let s(j) be the third derivative of 3/20*j**5 + 0*j - k*j**3 + j**4 + 0 + 22*j**2 - 9/40*j**6. Factor s(w).
-3*(w + 1)*(3*w - 2)**2
Let -10/3*r**4 + 4 + 22/3*r**2 + 38/3*r - 6*r**3 + 4/3*r**5 = 0. What is r?
-1, -1/2, 2, 3
Suppose -4*u + 4*t - 12 = -9*u, 0 = -3*t - 6. Suppose -10*d = -5*d - 2*a + 8, u = d + a. Solve -12/5*i**2 + 0 + 3/5*i**3 + d*i = 0 for i.
0, 4
Let a(d) = 5*d + 73. Let t be a(7). Let u be (0 - -1)*(t + -108). Factor -1/7*i**4 + 0*i + u + 3/7*i**3 - 2/7*i**2.
-i**2*(i - 2)*(i - 1)/7
Let x(r) be the first derivative of 100/3*r**3 + 585/2*r**2 + 52 + 810*r + 5/4*r**4. Solve x(l) = 0.
-9, -2
Let u(q) be the first derivative of -2/5*q**4 - 2*q**3 - 2*q - 3 + 24/5*q**2. Let u(p) = 0. Calculate p.
-5, 1/4, 1
Let b = 178 - 184. Let s be 657/292*(-8)/b. Determine q so that 1/2*q - 7/4*q**2 - q**s + 0 = 0.
-2, 0, 1/4
Let v(l) = -l**4 + l**3 + l**2 + 2*l. Let j(q) = 12*q**3 + 18*q**2 + 12*q. Let h(s) = -j(s) + 2*v(s). Suppose h(r) = 0. Calculate r.
-2, -1, 0
Let z be 20/(-150) - 124/(-30). Factor -2*r**5 + 63*r**3 + r**5 - 66*r**3 - 5*r**z + 9*r**2.
-r**2*(r - 1)*(r + 3)**2
Let l(v) be the first derivative of -6*v**2 - 2/15*v**3 + 63 - 90*v. Let l(r) = 0. What is r?
-15
Suppose -2184*i - 16 = -2186*i - 5*b, 2 = 2*i - 2*b. Factor -4*p**i + 8*p - 3/2*p**4 + 10*p**2 + 0.
-p*(p - 2)*(p + 4)*(3*p + 2)/2
Let d(b) be the first derivative of -5*b**4/4 - 110*b**3/3 + 145*b**2/2 + 690*b + 1469. Suppose d(r) = 0. Calculate r.
-23, -2, 3
Let j = -6620 + 66359/10. Let p be ((-86)/(-3))/((-10)/(-3)). Find s, given that -6*s - p*s**2 - 45/2*s**5 - 4/5 + j*s**3 + 22*s**4 = 0.
-2/5, -2/9, 1
Let g(c) be the third derivative of c**8/84 - 2*c**7/35 + c**6/30 + c**5/5 - c**4/3 + 893*c**2. Factor g(p).
4*p*(p - 2)*(p - 1)**2*(p + 1)
Let s = -2502/11 - -25031/110. Let y(j) be the second derivative of -7/12*j**4 + 18*j - 7/6*j**3 - s*j**5 - j**2 + 0. Factor y(o).
-(o + 1)*(o + 2)*(2*o + 1)
Let m(w) = -11*w**2 + 20*w - 1. Let v(d) = -1 + 17*d - 9*d**2 + 6*d**2 - 4*d - 4*d**2. Suppose -4*i + 61 = 29. Let t(o) = i*v(o) - 5*m(o). Solve t(p) = 0 for p.
1, 3
Factor -61*b**2 - 393*b - 63 - 488 + b**3 - 52.
(b - 67)*(b + 3)**2
Let i(p) = -490*p - 980. Let k be i(-2). Let y(g) be the third derivative of 1/4*g**4 - 22*g**2 + 1/6*g**5 + 1/60*g**6 + 0 + k*g - 3*g**3. Solve y(r) = 0.
-3, 1
Let b = 2811 - 2802. Let o(z) be the third derivative of 0*z + 1/8*z**4 + b*z**2 + 0 + 0*z**3 + 1/60*z**5. Solve o(p) = 0 for p.
-3, 0
Let x(k) be the first derivative of k**5/10 - 5*k**4/8 + 4*k**3/3 - k**2 - 346. Let x(s) = 0. What is s?
0, 1, 2
Let j(c) be the first derivative of -7*c**6/2 + 108*c**5/5 - 39*c**4/2 - 32*c**3 + 99*c**2/2 - 12*c + 7359. What is f in j(f) = 0?
-1, 1/7, 1, 4
Let y(z) be t